GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
PRIMGRP[751]:=
[[1, Factorial(751)/2,1,"2",[[750,1]],749, "Alt(751)", ["A",751, 1], "Alt"],
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[ 4, 1502, 2, "1", [ [ 2, 375 ] ], 1, "D(2*751)", [ "Z", 751, 1 ],
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[ 14, 93875, 2, "1", [ [ 125, 6 ] ], 1, "751:125", [ "Z", 751, 1 ],
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[ [ [ Z(751)^3 ] ] ] ],
[ 17, 281625, 2, "1", [ [ 375, 2 ] ], 1, "751:375", [ "Z", 751, 1 ],
[ [ [ Z(751)^2 ] ] ] ],
[ 18, 563250, 2, "1", [ [ 750, 1 ] ], 2, "AGL(1, 751)", [ "Z", 751, 1 ],
[ [ [ Z(751) ] ] ] ]];
PRIMGRP[752]:=
[[ 1, 211782000, 1, "2", [ [ 751, 1 ] ], 2, "PSL(2, 751)",
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[ 2, 423564000, 0, "2", [ [ 751, 1 ] ], 3, "PGL(2, 751)",
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[3, Factorial(752)/2,1,"2",[[751,1]],750, "Alt(752)", ["A",752, 1], "Alt"],
[4, Factorial(752),0,"2",[[751, 1]],752, "Sym(752)", ["A",752, 1], "Sym"]];
PRIMGRP[753]:=
[[1, Factorial(753)/2,1,"2",[[752,1]],751, "Alt(753)", ["A",753, 1], "Alt"],
[2, Factorial(753),0,"2",[[752, 1]],753, "Sym(753)", ["A",753, 1], "Sym"]];
PRIMGRP[754]:=
[[1, Factorial(754)/2,1,"2",[[753,1]],752, "Alt(754)", ["A",754, 1], "Alt"],
[2, Factorial(754),0,"2",[[753, 1]],754, "Sym(754)", ["A",754, 1], "Sym"]];
PRIMGRP[755]:=
[[1, Factorial(755)/2,1,"2",[[754,1]],753, "Alt(755)", ["A",755, 1], "Alt"],
[2, Factorial(755),0,"2",[[754, 1]],755, "Sym(755)", ["A",755, 1], "Sym"]];
PRIMGRP[756]:=
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(146,615,450,170,486)(159,676,277)(163,454,539,313,362,575,599,329,
730,610,641,661,467,174,367)(180,432,183)(205,663,624)
(241,394,404,634,640)(267,434,677)(302,667,460)(366,429,472)
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449,493,447,633, 8,297,569, 54,650,687,516, 72,751, 10,511,303,128)
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434,704,644,317, 19,210,390,105,517,213,700,162,490,305,110, 73,284,
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272,207,666,362,195,671,612,452, 45,752)( 6,231,556,201,216,475,328,
600,243,100,133,172,274,594,158,705,706,124,702,435,468,130,299,120,
682,723)( 7,140,691,459,637,411, 21,103,717,250,429,129, 40,707,581,
145,375,278,563,726, 99,736, 77,525,679,491)( 9,696,676,467,295,564,
409,443,461,152, 90,533,159, 41,568, 44, 12,615,361,368,485,111, 15,
613,709,730)( 11,579, 56,157,102,355,670,188,387,424,365,264, 87,686,
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745,526,432,545,360,412,750,314,408,155,352,549,482,292,648,137,184,
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740,534)( 25,719,583,138,263,147,165,530,279,715,748,553,342,253,283,
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199,546,466,354,539,144,127,656,367,620,217,614,692,631,483,339,684,
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440,311,543,567, 74, 68,672,175,225,173,625,699,632)( 32,499,333,330,
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60,185,472,575,410,713,191,488,422,458,651,325,198,444,720,655,585,
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519,673,209, 51,341,222,662,552,589,647,604,346,227,241, 82,194, 94,
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400,521, 66,240,182,712,437,570,237,108,445)( 92,641),
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682,392,665,416,701,309,645)( 2,221,661,306,605,122,734,442,394, 88,
61,206,524,658, 80,117,718,634,431,479,626,233,345,143)
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573,692,742,116,666,688,115,509,460, 17, 42,302,359,671)
( 5,564,629, 67,454,567,373,195,618,155,427,283,652,354,292,303,638,
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185,489,608,271,357, 60, 97,381,156,662,361, 90,299,598)
( 8, 92,735,579,726,255,546,350, 73,525,611,481, 53,290,731,103,753,
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620,178,447,288,405,324,291,101,376,295,196,643,154,106)
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[ "2A", [ 3, 5 ], 1 ],
[ ( 1,315,209,397,297,318,430, 32,177, 29,298,338, 90,529, 56,486,333,115,
353,340)( 2,349,678,336, 95,304,100,736, 67,492,337,262,236,138,503,
183,152,404,579,371)( 3,220,421,621,292,705,483,748,497,447,393, 10,
120,139, 11, 24, 21,193,725,204)( 4, 97,403,427,182,620,465,563,498,
197,608,558,662,653,178,499, 39,127,331,145)( 5,636,203,429,689,224,
506,181,307,660,687,565, 37,275,165,734,580,658,101,549)
( 6,706, 36,556, 64,439,659,359,633,408,472,130,217,624, 45, 81,399,
85,552,285)( 7, 66,622,691,170,464,671,394,611,227, 52,237,588,377,
538,300,575,524,148,113)( 8,346, 27,374,166,106,576,458,719,626,367,
289,495,589,587,648,686,208,738, 78)( 9,514,436,176,533, 23,577,466,
232,272,484,335,593,453,189,144,606,672,118,504)( 12,157,168,376,696,
683, 22, 75, 71,154,390,582,473,647,663,694,248,598, 94,342)
( 13,697,490,455,222,281,247,688,509,410,184,502,623,242,676, 55,320,
241,594, 59)( 14,584,595,339,351,310,271,229,452,685, 87,381, 26,528,
356,159,665, 62,126,669)( 15,142,146,111,715,716,661,174,407,425,360,
477,583,433,469,513,657,744,234,712)( 16,714,235,500,179, 48,638,205,
526,693,730,190,431,491,721,457,586,674,134, 51)( 17,756,682,163,372,
418, 88,707,282,625,570,699,643,266,305, 31,684,400,743,363)
( 18,557,460,728,573,752,309,537,510,519,607,612,391,357,523,180,475,
741,428,133)( 19,541,226,605,156,630,539,188,597,250,451,446,641,302,
745,303,739, 40,244,284)( 20,628,461, 43,256,438,319,521,384,666,432,
724, 35,445,406,753,562,755,147,463)( 25,293,596,369,286,240, 80,609,
141,268,155,265,246,535,276,218,713,230,656,125)( 28, 53,213,569,395,
670,617,709,326,635,196,162,257,416,471, 68,717,485, 47,700)
( 30, 83,107,614,423,646,571,269,619,548, 96,568,507,280,704, 65,545,
102,501,347)( 33,199,291,742,296,358,299,437,517,599,456, 99,355, 41,
131,405,634,488,746,301)( 34,489,259,554,680, 91,703,441,382,361,263,
279,316,574,354,692,522,173, 61, 63)( 38,132,649,158,225, 57,480,366,
254, 92,426,330,124,261,149,616,551,258,402,750)( 42,150,415,373,200,
732,487,329,729, 46,602,252,723,530,380,348,245,191,468,493)
( 44,651,287, 82,627,194,352,160,550,219,505,290,677,350,731,667,231,
722,737,375)( 49,449,654,212,328,424,277,543,389,370, 72,334,494,578,
417, 74,603,223,312,637)( 50,175,392,398,531,122,108,443,444,675,135,
76,591,192,560,555,364,592,215,253)( 54,365,710,264,267,564,278,735,
255,239,233,601,260,542,243,378,467,681,136,228)( 58,629,515,332,238,
414,195,561,639,525)( 60, 73,206,450,388,185,701,344, 93,123,754,383,
251,385,695,664,116,679,478,121)( 69,690,143,325,434,610,345,274,482,
110,313,520,604,311,600,422,454,585,324,435)( 70,540,698,140,572,474,
169,668,321,644,532,153,476,720,210,294,567,129,711,733)
( 77,618,112,283,214,536,613,508,387,440)( 79,288,547,553,650,470,459,
527,109,341,362,411,442,161,151,295,615,544,673,105)( 84,642)
( 86,114,479,747,211,655,727,172,396,512,137,306,740, 98,379,327,322,
386,412,511)( 89,652,221,186,323,308,104,273,645,128,534,496,103,201,
590,198,419,401,749,566)(117,164,216,119,726,202,314,632,718,751,317,
167,420,462,368,581,448,708,559,640)(171,249)(187,409,631,343,702)
(270,413,518,516,546),
( 1,614,215,395,668,101,409,144,329,218,562, 28,756,521,187,711,248,
175,272,679,570,346,162,120,411,578)( 2,745,691,146,487,173,342,648,
73,506,156,511,466,727,104, 62,405,590,618,182,499,680,669,216,601,
209)( 3,671, 45, 14,379,563,655,382, 58,485,755,235, 53,456,577,250,
46,236,541,467,269,454,381,376,148,203)( 4,176,289,391,675,735,574,
20,722,543,365, 81,439,300,139,196,607,140,172,354,167, 26,290,138,
234,714)( 5,644,552,641,368,636, 63, 69,451,476,256,567,129)
( 6,102,690,311,383,412,594,472,284,198,122,237,546,126,423,387,320,
482, 67,238,558,212, 25,294,582,537)( 7,163, 57,514,355, 84,404,425,
285, 78,281, 40,500,589,273,737,635,493,752,239,622,654,302, 96,213,
580)( 8,653,124,361,585,460,181,660,713,265,309,419,389,298,174,429,
435,704,510,390,513,707, 92, 18,231, 42)( 9,554,375,492,613,161,377,
527,357, 68, 10, 59,240,188,324,533,542,571,194, 17,526,642,258,535,
702,729)( 11,345,581,469,326,587,270,481,332,462,168,226,491,586,629,
652,417,725,103,133,519,280,197,254,205,463)( 12,266,509,260,191,536,
490,461,449, 29, 35,274,568,105, 94,112,512,288,520,434,605,663,452,
746, 61,123)( 13,252,700, 77,534,446,505,247,110, 55,394,528,211)
( 15,115,306,201,432,627,703,224,352,386,662,316,149, 44,341,378,291,
74,576,440,164,420,267,628,455,634)( 16,414, 34,503,616,687,111,143,
321, 93,159,540,465)( 19,307,730,749,262,516, 87,692,150,483,217,734,
301,372,221,433,190,243,180,186,646,529, 71,141,424,277)
( 21,347,131,136,348,726,666,297,255,560,475,369,721,401,502,640,736,
480,569,685, 48, 98,169,428,731,484)( 22,678,283,555,242,360,185,364,
602,458,325, 91,575)( 23,617,682,623,488,431,525,233, 82,349,739,611,
507,229,659,193,697,339,473,545,183,303,681,109,402,313)
( 24,384,293,661,596,232,448,374,695, 99,263,464,489,331,308,403,459,
134,637,125, 36,515,673, 60,597,251)( 27,343,202,399,550,398,276,740,
547,444,754,717,496)( 30,393,609,315,312,579,337,292, 51,470, 33,583,
406)( 31,249,715,743,723,206,264, 54, 41,222, 52,116,413,271,557,154,
719,608,676,327,114,670,501,656,422,612)( 32, 89,599,504,430,310,517,
407,314,686,747, 43,244,658,683,453,166, 88, 39,626,645, 79,220,228,
706,415)( 37,165,336,477,598,257,441,615,631,189,518,356,600,468,199,
710,486,677,179,561,282,522,142,728,246,548)( 38,108,593,699,132,227,
479,200,524, 49,603,340,741,625,698,147, 64,117,650, 95,204,559,268,
621, 97,171)( 47, 72,584,651,544,380,130,667,304,152,371,421,400,145,
362, 75,732,351,457,151,319,564,137,278,553,549)( 50,396,643,753,744,
353,195,259,322,253,437,208,370)( 56,158,317,155, 80,113,539,701,478,
119,366,523,619,447,693,684,436,716,445,689,450,604,497, 85,573,279)
( 65,556,107,632,426,286,363,261,674,427,245,350,335)( 66,530,748,591,
230,100,705,606,323,408,495,638,443)( 70,305,128,474,121,438,696,718,
295,418,334,565,672)( 76,572, 90,160,207,595, 83,720,531,471,694,299,
498)( 86,118,665,358,416,494,538,127,225,442,630,397,157)
(106,592,385,610,388,750,333,328,135,275,223,170,709,649,733,688,241,
508,724,330,178,210,620,551,373,287)(153,318,664,624,742,532,588,738,
639,708,647,410,712,192,219,184,177,359,392,296,657,344,338,367,214,
751)(566,633) ] ],
[ 4, 29484000000, 0, "2", [ [ 130, 1 ], [ 625, 1 ] ], 1, "PSU(4, 5).2",
[ "2A", [ 3, 5 ], 1 ],
[ ( 1,595, 61,372,281, 57, 44,448,302,693, 46,526,368,620,441,408,508,312,
463,742,418,157,120,273,331,588,185,103,324,376,597,666,671, 53,427,
224,165,147,604,381,614,570, 49,193,341,621,449,373,407,248,214,293,
247,689,672,534,119,615,656,446)( 2,574,660, 17, 39,572,536,623, 14,
258,642, 23,107,359,581,270,725, 21,104,421,564,252,377,485, 6,138,
385,491,619,221,135,166,383,482, 66,519,151,397,132,677,644,319,575,
94,160,260,524,159,235,374, 86,465,648,600,578, 50,466, 52,464,506)
( 3,196,732, 96,443,635,307,453,665,698, 34, 35,126,335,278,315,454,
178,679,728,561,661,380,673,100,402,143,712,658,510,538,297,234,121,
592,527,220,688,170,114,582,641,179, 24,262,131,553,195,440,412, 99,
415,756,706,140,643,149,326,134,735)( 4,630,413,606,530,139,363,681,
284, 42,204,411,349, 69,683,343,718,560,451,311, 73,729,752,731,106,
5,272,129,696,197,458,649,467,200,240, 29,201,211,216, 22,283,155,
591,300,625,723,608,236,320,496,439,556,321,345,754,291, 72, 84,389,
422)( 7,461,142,395,255,750,419,254,663,322,203,308,347,499,444,500,
161,366, 15, 67, 30,329,230,719, 70,242,361,484,580,249,550,238, 68,
288,546, 31,563,420, 9,542,275,616,598,513,304,692, 79,489,447,108,
662, 55, 77,158,357,528,699,417,724,540)( 8,486,423,327,433)
( 10,305,603,746,210,639,115,473,205,710,721,387,317,434,537, 59,237,
56, 62,337, 82,269,296,566,391,544,583,609,455,122,399,445,414,127,
98,277, 43,188,109,371, 26,334,382,313,727,726,505,622,323,668, 85,
164,286,318,378,558,456,497,515,398)( 11,342, 19,720,653, 12,219, 25,
267,587,624,472,744,740,657,722,490,292,364,125,632, 27, 90,152,187,
303,229,745,567,676,545,565,682,481,521,522,244,148,516, 32,424,301,
589,365,198,367, 48, 33,404,703,748,222,628,392,285,332,354,738,741,
430)( 13,511, 78, 81,533,478,306,128,569,483)( 16,475,167,101,190,
629,192,477,437,116,356,655,261,627,493,714,736,436,355,102, 65,379,
749,362,470,339,153, 89,246,462, 20,264,370,452,145,680,253,650, 75,
156, 47,169,571,730,406,369,136, 38,259,333,613,612,664,176,584,298,
503, 28,184,212)( 18,541,403,144,251,175,634,117,610, 71,386, 37,514,
636,647,183,429,174,274,594,479,705,685,640,535,294,669,717,480,659,
601, 80,118,223,280,555,674,654,753,181,711,435,551,611,469,243, 36,
279,715,263,180,585, 51,547,602,579,713,410,295,605)( 40, 41,314, 95,
695,431,645,162,476,568,409,213,694,171,739,646,495,400,518,626,596,
438,338,239,586,199,442,637,492,112,670,206,405,215,709,388,554,599,
557,487,593, 88,494,474, 87,271,401,751, 54,358,282,256,194,396,177,
425,697,150,531,360)( 45,504,232,543,189, 91, 83,426,182,353,525,289,
529,146,707,111,617,631,501,141,226,459,110,716,124,457,346,105,351,
509,316,667,130,468,502,652,384,394,393,517,734,507,520,708,686,310,
60,168,638,265,340,633,299,701, 58,257,700,352,344,350)
( 63,133, 93,218,287,737,678,202,618, 64,348,573,266,559,691,690,675,
74,590,450,432,512,743,328,186,416,336,471,217,704,241,137,755,209,
250,684,733,268,375,290,225,228,191,549,276,325, 76,154, 92,231,577,
532,548,552, 97,113,233,562,123,687)(163,173,172,390,498,208,702,747,
651,539)(207,309,460,523,607)(227,488)(330,576),
( 1,578,430,199, 75,112,370,476,477,493, 72,306,637,208,278,574,482,
643,270,194,489,628,599,526)( 2,327,748,538,702, 54,660, 85, 74,626,
544,196,743, 19, 27,347, 20,168,520,201,479,498,267,404)
( 3,568,225,577,596, 17,154,620,330,259, 55,286,333,246,525,447,126,
619,406,146,421,277, 94,723)( 4,410,241,541, 56,119,382,670,293,230,
730,636,624,276,606,556,585,113,739,294,356,651,255,435)
( 5,617,509,584,737,684,453,500,540,721,713, 7,177,138, 52,473,315,
728,437,623,303,161,337,425)( 6,360,235,105,423,205,478,704,124,560,
729,251, 76,681,576,570,587,647,378,420,380, 59,128,339)
( 8, 45,117, 93,603,621,598,142,499,109,688,305,475,519,452,397,252,
545,652,256,203,178,689,200)( 9,296,463,555,340,661,749,532,700,383,
44,434,254,495,705,451,648,635,428,750,727,731,726,400)
( 10,147,616,483,233,592,701,111,722,456,189,511,390,505, 35,209,253,
669,326, 81,717,102,179,548)( 11,219, 87,444,409,687, 78,484,353,580,
25,364,512,261,264,523,243,164,741, 50,418,638,432, 14)
( 12, 29,549,228,104,707,371,384,697,218, 70,388,569,662,550,240,193,
24, 39,226,394,343,656,365)( 13,407,572,289,386,468,431,234,123,206,
367,471,295,332, 38,174,324,735,139, 40,227,581,504,304)
( 15,202,611,714,198,673,166,679,180,742,413,693,391,362,667,211,328,
175,395,674,248,249,318,640)( 16,150,290,665,460,313,734,162,658,642,
183,725,646,265,539,156,566, 46,118,204,422,349,216,562)
( 18,285,144,368,666,715,195,335, 88,403,657,694,385,618,594,401,590,
73,680,696,115,433,695,655)( 21,553,600,442,582,703,464,197,322,429,
284, 26,699,736,323,187,125,506,602,675,601,438,389,746)
( 22, 67,299,458,247,352,185,110,497,148,140,281,212,589,724,127,288,
317,535,210,466,664,192,583)( 23,222,536,116, 28,170,357,280,321,416,
381,537,405,614,659, 36,533,710,630,639,632,558,145,685)
( 30,514,683,176,461,402, 84,408,627, 31,336,169,612,171,692,108,449,
455,325,245,186,480,441,375)( 32, 48,160,547,641, 57,358,250,334,481,
106,459,153,377,615,101,273,491,712,151,490,275,439,173)
( 33,740,605,732, 60,508,107,419,215,269,607,530,300, 92,522,756,354,
708,348,191,738, 95,238,399)( 34, 96,718,135,100,690,465,311,733,567,
668, 80,220, 58,644,137,457,716,217,143,440,510,312,524)
( 37, 51, 41, 66, 68,223,231,472,613,671,415,244, 71,529,427,257,341,
411, 83,361,379,518,355,345)( 42, 98,719,645,691,513, 90,157,494,242,
747,502,503,650,595,158,268,338,507,152,586, 86,129,282)
( 43,565,610,501,163,207,301,121,609,291,266, 89,496,591,608,474,214,
213,272,579,633,531, 82,575)( 47,424,302,122,167,443,263,131,573,469,
542,292,492,141,654, 91,551,331, 97,329,517,359,488,260)
( 49,342, 69,221,755, 79,172,467,672,224,706,376,309,588,366,448,597,
625,445,133, 99,274,320,744)( 53,372,314, 77,308,232,351,593,297,287,
486,136,165,184, 65,134,516,396,316,686,412,682,485,103)
( 61,369,543,346,414,229,446,752,521,528,678,398,552,698, 62,344,271,
130,181,563,720,363,262,454)( 63,374,258,310,622,436,751,426,554,132,
64,470,182,462,634,149,279,571,564,392,319,629,393,649)
(114,237,120,190,709,236,677,534,159,653,417,745)(155,604,711,307,450,
663,527,557,373,753,754,487)(188,350,298)(239,676,559)(283,631,515)
(387,546,561) ] ],
[ 5, 58968000000, 0, "2", [ [ 130, 1 ], [ 625, 1 ] ], 1, "PGammaU(4, 5)",
[ "2A", [ 3, 5 ], 1 ],
[ ( 1,307,235,317,428,688,432,383,165,177,591,682,368,638,582,147,331, 71,
388,315)( 2,643,426, 86,146,680,284,227, 19,708,513,385, 77,308,518,
660,433,243,483,581)( 3,394,741,290, 14,674,625,269,302,567,429,130,
413,636,223,389,425,754,168,260)( 4,637,702,731,201,484,142,566,320,
259,226,143,106,662,616,365,245,710,725, 94)( 5, 29, 92,689,523,502,
57,450,417,203,258,444, 88,694,261,608,342,306,249, 36)
( 6,752,667,652, 22,324,412,670,448,646,291,221,294, 63,599,212,598,
619, 51, 76)( 7,115,690,580,256,653,376,610,403,129)
( 8,136,421,546,224,341, 40,631,378, 43,310,387,276,673,678,515,535,
208,156,283)( 9, 61,328,470,471,655, 91, 39,264,521,411,316,491,401,
191,532,281,335,727,635)( 10,459,423,233,393,436,424,490,152,684,550,
534,440,398,633,558,452,222,239,729)( 11, 46, 85,176,139,456,454,586,
371,622,479,485,112,612,666,509,381, 78,486,278)( 12,620,540,170,460,
455,333,344,197,216,384,101,461,364,743,720,575, 35,251,721)
( 13,338,206,577,544,289,405,104,462,358,735,463, 98,489, 28,431,590,
81,632, 34)( 15,506,327,207, 84,552,121,492,657, 97,473,304,583,277,
654,404,715, 60,562,138)( 16,482,109,745,182,501,105,236, 17, 65,458,
159,563,180,445,188,386,361,255,120)( 18,487,740,661,517,686,695,516,
658,510,380,451,326,113, 47, 62,606,437,293,193)( 20,312,116, 38,134,
644,588,551,607, 55,747,171,659,465,559,124,318,406, 37,254)
( 21, 30,701,530,214,400,166,205,480,246,533, 32, 24,122,722,704,528,
420, 66, 54)( 23, 48,728,628,714, 80, 41,107,377,257,650,603,573,602,
494,131,230,123,624,373)( 25,613,351,218,154,100,195,163,505, 26,605,
280,449,539,739,733,554,712,220,370)( 27,270,275,746,707,158,742, 69,
545,204,325,359,390,641,514,392,162,669,213,553)( 31,543,329,140,441,
151,615,141,117,512,574,600,645,382,135,709,681, 42,190,627)
( 33,347,499,128,119,298,547,179,268,137, 53,711,697,252,164,362,237,
648,703,594)( 44,240, 89,738,663,395,507,198,609, 70,565,153,692,520,
668,279,192,651,737,418)( 45,595,319,356,311,126, 90, 87,511,481)
( 49,578,396,234, 56,175,194,330,397,496,693,665,560, 68,301,262,148,
103,355,149)( 50,305,696,687,110)( 52, 73,726,584,706,572,549,536,
614,196, 83,744,500,719,186,303,295,634,677,183)( 58,749,672,446,685,
210,242,343,366,354,211,360, 95,282,495,748,477,346,717,337)
( 59,585,664, 93,309)( 64,374,542,200,273,108,700,263,713,408,647,526,
363,571,102,161,357,375,266,443)( 67,372,555,399,250,144,589,313,705,
288,145,756,649,676,522,265,409,334,466,419)( 72,127,332, 75,297,178,
525,314,529,172,642,472,531,570,414,474,611,730,629,248)
( 74,321,181,453,623, 99,699,601,724,464,345,679,169,241,157,300,427,
656,592,350)( 79,322,469,587,732,593,229,557, 82,155,111,323,353,435,
618,231,434,691,541,683)( 96,114,173,597,285,189,299,736,671,626,267,
292,442,184,430,174,379,416,439,187)(118,475,415,286,698,410,476,734,
751,274,272,369,504,185,232,564,723,478,640,367)(125,493,556,150,718,
527,209,488,352,133,755,215,569,340,457,568,519,160,537,438)(132,271)
(167,296,253,217,617,524,498,287,596,422,202,675,219,228,753,548,391,
468,247,576)(199,750,339,630,348,508,402,244,467,497,579,639,604,503,
238,336,538,447,716,621)(349,407),
( 1,131,373,452,151, 76,174,740, 31,470,181,558,482,160,187,247,673,
393,712,613,434, 82,409,294,549,137,176,533,362,609,111,586,534,193,
255,486, 70,190,647,109,249,465,513,570,240,478,406,661, 39,525,572,
743,547,530,642,756,183,559,268,165)( 2,708,711,248,618,238, 73,366,
53,243,439,365,200, 97,141, 75,485, 20,391, 58,357,621,745, 78,105,
397,665,474,471,587,695,225,669,500, 80,660,115,557,688,561,340,295,
281, 95,687,754, 55,283,287,658,300,314, 72,378,332,685,272,566,526,
506)( 3,158,156,123,435,208,707,523,585,691,590,545,104,601,651, 10,
520,273,662,235, 4,682,429, 88,432,543,147,129,422, 71,194,254,329,
180,493,656,324,571,335,578,274,573,306,256,292,451,597,494,321,505,
454,290,481,375,343, 29,293,117,172,698)( 5,747, 89,497,483, 19,234,
219,503,221,462,110,577,395,710,262,320,498,197,297,305,267,542,461,
568,598,342, 57,531,345,374,252,128,722,469,327, 11, 21,425,641,168,
257,672,736,286,610, 93,177,693, 69,667,702,719, 54,703,313,408,157,
617,258)( 6,594,389,229,299,564,678,718,737,582,118,317,316,713,170,
153,720,453,490,593, 38,162,438,569,228,211, 77,196,496,499,588, 85,
646, 51,591,233,315,328,652,127,705,654,726,214,633,510,550,746,584,
226,237,574,753, 91,155,532, 27,139,446,185)( 7, 12,179, 67,541,677,
721,536,634,119,164,750,624,709, 25,384,648,126, 66,519, 74,188,556,
411, 14,204,575,602, 47,441,217,116,309,253,140,382,423,341,232,212,
741, 22,236,361,527,580,508,638,396,727,537,548,427,125,704, 61,399,
692, 23,415)( 8,603,280,322,372,390,420,145,514,289,612,364, 46,625,
96,401,231,413,407,263,349,301,706,356,450, 59,515,455,546,632,246,
304,742,388,657,383,605,100,607, 79,608,189, 30,202,213,668, 49, 37,
643, 9,680,448,674,150,400,670,275,416,442,331)( 13,639, 34,583,102,
195,269,339,479,689,205,354,265,318,723, 86,730,134, 44,563,744,560,
697,630,491, 56,114,394,264,517,649,636,186,282,540,224,135,227,551,
276,298,386,166,285,410,402,103,733,284,334,637,606,245,731,443, 60,
216, 94,161,277)( 15,242,220,729,684,359,444,616, 18,291,308,112,244,
473,379,528,398,635,218,367,288,748,210,184,579,447,385, 35,436, 40,
17, 42,456,241,715,728,351,449,323,501,271,681,614,377,370,376,676,
502,387,136,346,296,222,620,581,460,716,626, 16,619)( 24,650,178,554,
169,215, 87, 26,679,353,512,380,645,113,426,191,266,686, 65,133, 43,
428, 64,107,521,507,623,714,615,403,392,596,142,468,209, 98,475,431,
167,149,539, 63,732,418,696,352,330,738,368,337,628, 50,611,484,666,
201,457,310,562,529)( 28,430,207,405,120,492,171,655, 92,121,230,480,
690,576,175,360,699,250,488, 83,363,640,717,421,371,152,192,417,333,
440,599,524,734,627,350,303,565, 33,592,752,260,159, 41,553,154,725,
261,595,504,522,675, 81,466,146,358, 62,600,108,476,516)
( 32,259,419,106,518,206,644,138,437,495,124,344,130,381,629,724,509,
412, 68,101,751,369,487,555,458,338,700,544,347,463,701,312,302,270,
735, 48,404, 99,198,414,664,424,433,251,203,755,464,663,173,239,223,
278,279,694,589,653,489,307,355,445)( 36,326,311,336,671,348,659, 90,
163,622,144,467, 45,749,148,683,143,132,552, 52,567,182,511,604, 84,
631,739,319,535,538)(122,459,325,477,199,472) ] ],
[6, Factorial(756)/2,1,"2",[[755,1]],754, "Alt(756)", ["A",756, 1], "Alt"],
[7, Factorial(756),0,"2",[[755, 1]],756, "Sym(756)", ["A",756, 1], "Sym"]];
PRIMGRP[757]:=
[[ 1, 282027786768, 1, "2", [ [ 756, 1 ] ], 2, "L(3, 3^3)",
[ "L", [ 3, 27 ], 1 ],
[ ( 4,411,469,389, 90,620,125,691, 96,757, 42,560,553,736, 56,726,359,625,
285,367,350, 31,685, 83,588, 20)( 5,139,193, 78,240, 32,755,501,230,
593,156,418,582, 62,601,393, 75,652,306,440,752,707,116,532,619, 13)
( 6,670,571,674,427,429,576,510,255,276,449,713,368,154,290,535,311,
180,404,703,239,229,293, 97,244,725)( 7,650, 98,355,669,237,186,148,
40,179,410,283,332,434,482, 43,613,261,692,256,292, 37, 93,439, 73,
357)( 8,326, 47,550,480,294,252,533,648,709,297,222,445,131,627,569,
234,647,600,633,153, 88, 60,749,623,260)( 9,381,269,275,126,631,228,
746, 92,259,138,262,699,430, 33,423,464,545,366,287,373,150,309,737,
602,678)( 10,684,385,598,177,415,628,312,461,365,574,688,617,236,273,
221,530,543,466,289,343,118,663,540,458,145)( 11,457,267,442,257,483,
413,732,169,319,305,727,109,555,248,446,728,100,559,322,675,621, 95,
19,130,583)( 12,424, 16, 45,313,612,122, 76,615,425,175,505,416,634,
453,506,500,640,316,246,202,102,251,673,637,417)( 14,135,282,398,454,
323,694, 86,477, 61,167,689,369,611,421,216,511,486,549,310,270,473,
183,484,676,679)( 15,747,551,247,503, 39,266,123,474,268,552, 59,683,
490,512,616,321,452,672,407,577,513,397,328,303,666)( 17,208, 77,220,
91,300,470,667,143,664, 94,534,456, 79,721,374,168,641,565,218,599,
344,719,717,396,142)( 18,525,196,412,127,731,690, 84,724,515,352,586,
71,215,401, 48, 50,362,587,536,498, 82,542,520,748, 58)
( 21,491,361,716,320, 30, 38,325, 53,610, 34,137,198,214,561,349,665,
231,729,185,324,101,400,517,624, 25)( 22, 72,741,465,441,614,720,572,
253,639,161,375,157,504,147,194,448,632,302,658,258,705,516,420,537,
668)( 23,539,195,353,564,653,524, 65,327, 35,431,751,204, 24, 41,590,
523,622,376, 70,335,433,278,129,447,584)( 26,191,386,211,330,192,149,
499,338,245,607,603,301,710,206,210,507,608,636,563,422,478,233,677,
579,596)( 27,635,348,136,428,701,339,595,722,521,558,281,526, 89, 49,
52,733,107,165,594,475, 69,479,347,232,356)( 28,649,111, 85,546,566,
471,642,492,117,646,272,336,687,224,182,134,541, 74,354, 55,508,274,
121,146,189)( 29, 99,187,190,351,291,575,227,444,110, 57,241,581, 66,
659,174,489,384,605,567,522,655,497,488,395,132)( 36,205,494,743,176,
671, 46,495,657,308,128,250,378,394,403,426,432,383,238,209,472,249,
337,750,604,742)( 44,509,693,609,435,213,295,485,212,630,402,580,754,
589,460,152,181,304,341,144, 81,360,166,529,263,280)( 51,307,277,462,
450,279,562,106,392,271,660,714,730,382,108,656,298,419,443, 68,317,
518,544,387,178,568)( 54,702,314,708,697,643,188,358,740,606,718,225,
133,531,459,414,493,329,704,391,235,160,340,342,184,629)
( 63,644,119,556,661,112,158,437,363,738,199,680,405)( 64,104,406,735,
681,745,200,334,739,592,364,409,438,265,159,346,113,712,662,372,557,
243,120,172,645,115)( 67,538,124,573,638,696,436,399,207,318,481,162,
654,451,548,519,527,164,379, 87,284,163,468,686, 80,695)
(103,114,171,242,371,711,345,264,408,591,333,744,734)(105,288,700,706,
296,698,141,331,388,723,753,547,380,682,170,554,463,299,496,578,585,
570,151,217,390,315)(140,155,377,756,226,476,715,528,223,219,201,502,
467,197,254,651,286,626,203,455,618,370,487,173,514,597),
( 1,569,268,200,199, 47,194,741,397,372,371, 3, 2)( 4, 37,580,191,
156,162,415, 45,599, 79,630, 31,448)( 5,538,710,705,146,692, 19, 33,
189,752,421,365,402)( 6,641,564, 17,311,583,614,308,723,547,494, 22,
248)( 7,739,738,297,164,442,179,280,546,488,377,376,351)
( 8,176, 99,635,106,332, 82,510,514, 50, 27,438,437)( 9, 18,389,406,
405,550,475, 78,603,694,384,251,515)( 10,349,733, 13,364,363,533,707,
339,561,343,316,425)( 11,221,141,490,720,278,125,163,388,227,354,663,
180)( 12, 81,373,566,357,617,745,744,749,691,505,185,693)
( 14,198,305,142,321,360, 48,233, 80,401,598,435,133)( 16,418,563,235,
91,730,632,722,471,731,682,107,704)( 20,531,673,327,485,300,458,703,
706,334,333,623,202)( 21,687,409,408,252,422,255,606, 49,584,344,508,
498)( 23,719,750, 68,624,551,447,529,241,154,228, 72,210)
( 24,262,545,118,410,536,395,295,217,420,289,753,452)( 25,414,108,385,
657,341,572,292,348,110,469,439,574)( 26,616,562,649,313,370,620,284,
549,441,454,736,640)( 28,645,644, 60,565, 84, 85,579,558,322,195,229,
257)( 29,525, 71,424, 36,224, 40,404,664,570,116,467,288)
( 30,430,543, 38,276,636,383, 75,715,359,346,345,600)( 32,679,618,279,
638,740,204,138,592,591,234,511,296)( 34,230,282,482,225,113,112, 88,
702, 98,310,755,214)( 35,527,699,530,713,126,127,727,559,689,470,613,
232)( 39,539,207,128,751,427,643,186,166,696,652,379,187)
( 41,588,675,132,522,665,399,479, 55,173,205,685,718)( 42,695,161,196,
626,249,725,604,476,520,465,481,285)( 43,347,184,735,734,131,700,216,
175,298,477,443,350)( 44,382,433,290, 64, 63,153,575,209,261,177,117,
724)( 46,634,670,265,264,633,651, 51,462,526,621,238,398)
( 52,619,254,690, 62,625,407,157,429,602, 77,757,483)( 53,337,250,607,
275,537,309,642,386,392,188,168,139)( 54,650,413,660,507,528,129,159,
158,480,542,534,356)( 56,639,532,411,247,571,380,170,393,336,291,267,
245)( 57,499,509,293,197,681,680,648, 95,468,121,306,136)
( 58,237,314,524,605,358,287,513,147,201,315,432,678)( 59,181,521,231,
622,423,218,416,258,500,259,320,568)( 61,459,637,274,145,662,661,647,
236, 74,102,340,167)( 65,548,223,519,353,174,375,667,269, 92,456,516,
444)( 66,466,148,676,150,381,400,256,674,697,464,672,271)
( 67,283,728,612,434,243,242,627,589,653,440,134,455)( 69,716, 83,726,
246,701,523,240, 96,552,330,362,493)( 70,501,165,178,472,684,495,352,
328,597,743, 94,756)( 73,160,317,615,100,517,567,299,489,737,120,119,
222)( 76,318,324,140,712,711,260,590,460,152,669,215,451)
( 86,213,747,478,355,270,368,151,394,137,253,101,585)( 87,449,155,540,
111,677,721,329,208,109,666,244,374)( 89,115,114,445,387,502,312, 93,
576,671,595,659,484)( 90,668,263,487,573,717,338,417,512,286,307,586,
335)( 97,149,446,226,578,658,450,535,403,436,609,323,303)
(103,326,239,211,301,646,190,143,729,396,473,431,104)(105,611,182,203,
273,698,683,304,732,601,272,453,390)(122,135,587,426,577,206,655,656,
220,581,593,608,461)(123,219,367,560,629,428,555,748,277,366,504,391,
631)(124,714,496,302,331,281,419,212,628,378,708,486,686)
(130,342,544,193,610,506,497,654,503,518,457,144,742)(169,463,557,556,
294,492,688,754,491,412,183,319,553)(171,709,746,361,369,596,325,192,
554,594,541,582,172) ] ],
[ 2, 846083360304, 0, "2", [ [ 756, 1 ] ], 2, "L(3, 3^3):3 = PGammaL(3, 3^3)",
[ "L", [ 3, 27 ], 1 ],
[ ( 4,456,340,187,467,716,617,511,552,152,698,307,355,686, 33,257,240,330,
354,724,595,465,276,472,524,416)( 5, 26,182,127,136,668,429,432,195,
615,685,143,704,395,223, 25,461,369,266,580,288,387,357, 87,138, 11)
( 6,250,129, 45,625,220,531,567,756,324,598, 86,747,295,151,443,292,
548,631,621,707,478,646, 58,232,258)( 7,284,262,457,139,191,134,731,
428, 22,576,383,353,425, 83,664,391,132,219, 21,365,611,123,754,700,
178)( 8,326, 47,550,480,294,252,533,648,709,297,222,445,131,627,569,
234,647,600,633,153, 88, 60,749,623,260)( 9,728, 75,507,566,498,594,
194,229, 46,376,637,553,396,740,659,514,349,458,282,397,509,299,382,
43,318)( 10,454,303,609,578,656,261,162,269,559,306,636,642,542, 69,
632, 97,657,335, 12, 56, 17,718,489,140,231)( 13,596,224,412,348,537,
427,426,539, 76, 31,667,329,488,528,624,312,689, 39,402,105,544, 73,
379,259,583)( 14,577,280,554,714,434,399,602,248,601,206, 85,587,107,
504,703,176,523,251, 42,719,188,581,487,214,663)( 15,213,570,419,256,
451,126,675,752,422,117,748,347,658,725,128,278, 16,359, 77,133,605,
377,185,385,694)( 18,356,705,670,378,447,313,285, 91,459,522,226,101,
177,477,551,485,217, 68, 37,519,228, 95,116,233,272)( 19,532,677,336,
525, 27,516,571,394,584,612,367,300,414,655,476,400,415, 61,247,212,
390,317, 93,527,746)( 20,534,160, 99,502,361,688,216,268,460,296, 51,
98,468,430,442, 78,211, 74, 84,339,741,255,209,653,505)
( 23,122,350,470,493,497,715,517,628,167,503,630,315,518,439,164, 92,
130,619,579,687,196,635,420,674,403)( 24,246,691,218,708,110,455, 34,
289,484,452,166,380,392,410,638,150,727,418,603, 28, 48, 49,161,311,
205)( 29,201,491,574,421,474,589,706,568,650,163,699,267,193,386,541,
690,701, 72,510,238,564,175,588, 94,235)( 30,273,549,683,304,331,462,
237,695,464,413,755,149,508,352,521,614,713,337,327,453,469,721,184,
351,254)( 32,192, 55,515,722,441,449,249, 65,634,411, 79,342,190,197,
320,236,486, 59,181,141,277,669, 80,423,483)( 35,506,389,374,629,291,
651, 38,221,310,490,341,388,450,186, 67,545,732,501,499,274,586,558,
720,368,750)( 36,204,316,125,565,314,444,203,610,466,183,321,360,547,
106,179,573,373,305,156,607,189,401, 89,639,535)( 40,124,287,319,593,
245,146,215,526,253,290,742,751,640,620,641,702,227,626, 53,543,473,
616, 81,753,562)( 41,202, 96,599,697, 57,618,137,343,676,672,529,682,
271,283,696,309,109,582,301,649, 50, 52,375,180,494)( 44,463,730,482,
207,678,446,393,210,546,536,165,147,239,671,622,673,560,717,358, 66,
173,561,540,135,513)( 54,575,286,325,530,270,512,144,723,279,148,538,
366,169,230,338,121, 71,281,572,154,604,431,500, 90,168)
( 62,710,111,362,733,157,404,743,590,102,757,344,643,241,370,198,118,
679,407,263,170,660,332,436,737,555)( 63,114,644,171,119,242,556,371,
661,711,112,345,158,264,437,408,363,591,738,333,199,744,680,734,405,
103)( 70,417,736,142,606,174,597,665,145,398,328,693,496,108,613,481,
381,100,652,608,471, 82,475,448,293,495)(155,729,684,323,666,435,585,
298,692,654,275,322,440,563,492,520,479,302,244,308,433,424,726,208,
225,384), ( 1,569,268,200,199, 47,194,741,397,372,371, 3, 2)
( 4, 37,580,191,156,162,415, 45,599, 79,630, 31,448)( 5,538,710,705,
146,692, 19, 33,189,752,421,365,402)( 6,641,564, 17,311,583,614,308,
723,547,494, 22,248)( 7,739,738,297,164,442,179,280,546,488,377,376,
351)( 8,176, 99,635,106,332, 82,510,514, 50, 27,438,437)
( 9, 18,389,406,405,550,475, 78,603,694,384,251,515)( 10,349,733, 13,
364,363,533,707,339,561,343,316,425)( 11,221,141,490,720,278,125,163,
388,227,354,663,180)( 12, 81,373,566,357,617,745,744,749,691,505,185,
693)( 14,198,305,142,321,360, 48,233, 80,401,598,435,133)
( 16,418,563,235, 91,730,632,722,471,731,682,107,704)( 20,531,673,327,
485,300,458,703,706,334,333,623,202)( 21,687,409,408,252,422,255,606,
49,584,344,508,498)( 23,719,750, 68,624,551,447,529,241,154,228, 72,
210)( 24,262,545,118,410,536,395,295,217,420,289,753,452)
( 25,414,108,385,657,341,572,292,348,110,469,439,574)( 26,616,562,649,
313,370,620,284,549,441,454,736,640)( 28,645,644, 60,565, 84, 85,579,
558,322,195,229,257)( 29,525, 71,424, 36,224, 40,404,664,570,116,467,
288)( 30,430,543, 38,276,636,383, 75,715,359,346,345,600)
( 32,679,618,279,638,740,204,138,592,591,234,511,296)( 34,230,282,482,
225,113,112, 88,702, 98,310,755,214)( 35,527,699,530,713,126,127,727,
559,689,470,613,232)( 39,539,207,128,751,427,643,186,166,696,652,379,
187)( 41,588,675,132,522,665,399,479, 55,173,205,685,718)
( 42,695,161,196,626,249,725,604,476,520,465,481,285)( 43,347,184,735,
734,131,700,216,175,298,477,443,350)( 44,382,433,290, 64, 63,153,575,
209,261,177,117,724)( 46,634,670,265,264,633,651, 51,462,526,621,238,
398)( 52,619,254,690, 62,625,407,157,429,602, 77,757,483)
( 53,337,250,607,275,537,309,642,386,392,188,168,139)( 54,650,413,660,
507,528,129,159,158,480,542,534,356)( 56,639,532,411,247,571,380,170,
393,336,291,267,245)( 57,499,509,293,197,681,680,648, 95,468,121,306,
136)( 58,237,314,524,605,358,287,513,147,201,315,432,678)
( 59,181,521,231,622,423,218,416,258,500,259,320,568)( 61,459,637,274,
145,662,661,647,236, 74,102,340,167)( 65,548,223,519,353,174,375,667,
269, 92,456,516,444)( 66,466,148,676,150,381,400,256,674,697,464,672,
271)( 67,283,728,612,434,243,242,627,589,653,440,134,455)
( 69,716, 83,726,246,701,523,240, 96,552,330,362,493)( 70,501,165,178,
472,684,495,352,328,597,743, 94,756)( 73,160,317,615,100,517,567,299,
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PRIMGRP[766]:=
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PRIMGRP[767]:=
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PRIMGRP[768]:=
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PRIMGRP[769]:=
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309,535)(132,146,701,315,759,206,552,479,522,205,440,231)
(136,333,233,492,373,648,407,363,632,260,497,150)(140,705,447,616,587,
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PRIMGRP[782]:=
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PRIMGRP[783]:=
[[1, Factorial(783)/2,1,"2",[[782,1]],781, "Alt(783)", ["A",783, 1], "Alt"],
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PRIMGRP[784]:=
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[ [ 36, 4 ], [ 72, 4 ], [ 6, 1 ], [ 24, 1 ], [ 144, 2 ], [ 9, 1 ],
[ 12, 2 ] ], 1, "PSL(2, 7)^2.4", [ "L", [ 2, 7 ], 2 ],
[ ( 1,536,739,130,362,205,674,479,776, 62,408,616,259,525,234, 41)
( 2,480,748, 74,352,597,679,507,766, 34,393,560,263,133,250,209)
( 3,760,734,410,364,261,693,227,769, 6,396,756,270,357,233,685)
( 4,732,746,354,345,681,675,759,762,398,420,280,273,245,237, 13)
( 5,424,742,662,359,457,691,703,761,426,406,672,275,469,243,713)
( 7,508,738, 46,337,541,683,115,782,202,394,504,272, 77,240,601)
( 8,284,755,382,361,317,687,619,778,174,416,168,264,581,241, 97)
( 9,676,731,774,342,401,700,255,777,230,405, 28,256,749,242,349)
( 10, 32,729,550,347,121,698,199,758,482,412, 84,268,609,231,517)
( 11,116,754,214,338,485,692, 59,772,594,399,532,262, 49,225,545)
( 12,564,745,102,344,289,699,367,781,314,407,644,274,189,248,153)
( 14,648,751,466,355,709,677,423,770,650,415,476,271,721,229,433)
( 15,620,750,186,360,149,684,563,773, 90,400,308,279,385,249,321)
( 16,592,735,522,346, 37,673,535,767,118,418,224,254,497,244, 69)
( 17, 88,736,298,363,373,697,311,771,622,414,196,276,161,236,573)
( 18,340,737,690,339,765,678,395,784,258,413,252,265, 21,228,741)
( 19,704,733,438,350,653,695,451,775,706,397,448,266,665,247,461)
( 20, 60,744,606,343,513,682, 31,757,538,403,140,278,217,226,489)
( 22,172,752,158,348,569,689, 87,764,286,419,392,277,329,239,629)
( 23,452,747,718,341,429,686,647,779,454,411,728,257,441,238,657)
( 24,144,740,578,353, 93,680,283,783,370,417,336,267,637,246,181)
( 25,312,743,634,358,177,696,143,768,566,409,112,260,301,251,377)
( 26,200,730,494,356, 65,688,591,763,510,402, 56,253,553,235,125)
( 27,368,753,326,351,625,694,171,780,146,404,588,269,105,232,293)
( 29,533,543,123,138,222,198,478,496, 76, 72,604,595,511,514, 38)
( 30,477,552, 67,128,614,203,506,486, 48, 57,548,599,119,530,206)
( 33,421,546,655,135,474,215,702,481,440, 70,660,611,455,523,710)
( 35,505,542, 39,113,558,207,114,502,216, 58,492,608, 63,520,598)
( 36,281,559,375,137,334,211,618,498,188, 80,156,600,567,521, 94)
( 40,561,549, 95,120,306,223,366,501,328, 71,632,610,175,528,150)
( 42,645,555,459,131,726,201,422,490,664, 79,464,607,707,509,430)
( 43,617,554,179,136,166,208,562,493,104, 64,296,615,371,529,318)
( 44,589,539,515,122, 54,197,534,487,132, 82,212,590,483,524, 66)
( 45, 85,540,291,139,390,221,310,491,636, 78,184,612,147,516,570)
( 47,701,537,431,126,670,219,450,495,720, 61,436,602,651,527,458)
( 50,169,556,151,124,586,213, 86,484,300, 83,380,613,315,519,626)
( 51,449,551,711,117,446,210,646,499,468, 75,716,593,427,518,654)
( 52,141,544,571,129,110,204,282,503,384, 81,324,603,623,526,178)
( 53,309,547,627,134,194,220,142,488,580, 73,100,596,287,531,374)
( 55,365,557,319,127,642,218,170,500,160, 68,576,605, 91,512,290)
( 89,428,294,671,387,473,327,715,621,442,182,668,163,460,579,717)
( 92,288,307,391,389,333,323,631,638,190,192,164,152,572,577,101)
( 96,568,297,111,372,305,335,379,641,330,183,640,162,180,584,157)
( 98,652,303,475,383,725,313,435,630,666,191,472,159,712,565,437)
( 99,624,302,195,388,165,320,575,633,106,176,304,167,376,585,325)
(103,708,285,447,378,669,331,463,635,722,173,444,154,656,583,465)
(107,456,299,727,369,445,322,659,639,470,187,724,145,432,574,661)
(108,148,292,587,381,109,316,295,643,386,193,332,155,628,582,185)
(425,434,658,667,471,467,719,705)(439,714,649,443,462,663,723,453),
( 1,134,615,393,638,727,281, 22,139,589,414,643,701,302, 27,113,610,
419,617,722,307)( 2,118,605,394,622,717,282, 6,129,590,398,633,702,
286, 17,114,594,409,618,706,297)( 3,126,601,395,630,713,283, 14,125,
591,406,629,703,294, 13,115,602,405,619,714,293)( 4,122,603,396,626,
715,284, 10,127,592,402,631,704,290, 15,116,598,407,620,710,295)
( 5,117,593,397,621,705,285)( 7,135,614,399,639,726,287, 23,138,595,
415,642,707,303, 26,119,611,418,623,723,306)( 8,132,612,400,636,724,
288, 20,136,596,412,640,708,300, 24,120,608,416,624,720,304)
( 9,133,607,401,637,719,289, 21,131,597,413,635,709,301, 19,121,609,
411,625,721,299)( 11,140,613,403,644,725,291, 28,137,599,420,641,711,
308, 25,123,616,417,627,728,305)( 12,130,604,404,634,716,292, 18,128,
600,410,632,712,298, 16,124,606,408,628,718,296)( 29,386,279,729,778,
251,309, 50,391,253,750,783,225,330, 55,365,274,755,757,246,335)
( 30,370,269,730,762,241,310, 34,381,254,734,773,226,314, 45,366,258,
745,758,230,325)( 31,378,265,731,770,237,311, 42,377,255,742,769,227,
322, 41,367,266,741,759,238,321)( 32,374,267,732,766,239,312, 38,379,
256,738,771,228,318, 43,368,262,743,760,234,323)( 33,369,257,733,761,
229,313)( 35,387,278,735,779,250,315, 51,390,259,751,782,231,331, 54,
371,275,754,763,247,334)( 36,384,276,736,776,248,316, 48,388,260,748,
780,232,328, 52,372,272,752,764,244,332)( 37,385,271,737,777,243,317,
49,383,261,749,775,233,329, 47,373,273,747,765,245,327)
( 39,392,277,739,784,249,319, 56,389,263,756,781,235,336, 53,375,280,
753,767,252,333)( 40,382,268,740,774,240,320, 46,380,264,746,772,236,
326, 44,376,270,744,768,242,324)( 57,162,475,477,442,587,197, 78,167,
449,498,447,561,218, 83,141,470,503,421,582,223)( 58,146,465,478,426,
577,198, 62,157,450,482,437,562,202, 73,142,454,493,422,566,213)
( 59,154,461,479,434,573,199, 70,153,451,490,433,563,210, 69,143,462,
489,423,574,209)( 60,150,463,480,430,575,200, 66,155,452,486,435,564,
206, 71,144,458,491,424,570,211)( 61,145,453,481,425,565,201)
( 63,163,474,483,443,586,203, 79,166,455,499,446,567,219, 82,147,471,
502,427,583,222)( 64,160,472,484,440,584,204, 76,164,456,496,444,568,
216, 80,148,468,500,428,580,220)( 65,161,467,485,441,579,205, 77,159,
457,497,439,569,217, 75,149,469,495,429,581,215)( 67,168,473,487,448,
585,207, 84,165,459,504,445,571,224, 81,151,476,501,431,588,221)
( 68,158,464,488,438,576,208, 74,156,460,494,436,572,214, 72,152,466,
492,432,578,212)( 85,358,559,645,526,699,169,106,363,533,666,531,673,
190,111,337,554,671,505,694,195)( 86,342,549,646,510,689,170, 90,353,
534,650,521,674,174,101,338,538,661,506,678,185)( 87,350,545,647,518,
685,171, 98,349,535,658,517,675,182, 97,339,546,657,507,686,181)
( 88,346,547,648,514,687,172, 94,351,536,654,519,676,178, 99,340,542,
659,508,682,183)( 89,341,537,649,509,677,173)( 91,359,558,651,527,
698,175,107,362,539,667,530,679,191,110,343,555,670,511,695,194)
( 92,356,556,652,524,696,176,104,360,540,664,528,680,188,108,344,552,
668,512,692,192)( 93,357,551,653,525,691,177,105,355,541,665,523,681,
189,103,345,553,663,513,693,187)( 95,364,557,655,532,697,179,112,361,
543,672,529,683,196,109,347,560,669,515,700,193)( 96,354,548,656,522,
688,180,102,352,544,662,520,684,186,100,348,550,660,516,690,184) ] ],
[ 3, 225792, 0, "4c",
[ [ 36, 4 ], [ 72, 2 ], [ 6, 1 ], [ 24, 1 ], [ 144, 3 ], [ 9, 1 ],
[ 12, 2 ] ], 1, "PGL(2, 7) wreath Sym(2)", [ "L", [ 2, 7 ], 2 ],
[ ( 1,268,552, 6,436,556,146,442,668,168,610,654,784,589,262,776)
( 2,352,543, 34,429,304,154,246,659,392,600,402,775,309,265,524)
( 3,128,539, 62,441,192,145,582,647,140,595, 66,777,169,257,580)
( 4,716,559, 90,445,752,163,694,661,644,596,458,774,197,278,496)
( 5,576,535,118,427, 80,161,190,649,588,591,122,763, 57,273,188)
( 7, 72,553,174,425,584,143,134,651, 84,609,178,761,561,255,132)
( 8,464,550,202,446,500,144,722,671,112,613,738,779,673,269,636)
( 9,296,546,230,435,388,152,414,663,336,601,514,758,337,263, 48)
( 10,772,533,258,440, 24,156,554,650,448,612,150,778,645,280,608)
( 11, 44,541,286,434,248,155,386,656,420,607,318,769,505,254,356)
( 12,408,551,314,433,528,142,358,655, 56,597,290,770,225,267,384)
( 13,520,534,342,431, 52,149,302,658,252,603,374,768,393,271,328)
( 14,240,547,370,432,416,159,330,657,532,590,346,767, 29,261,300)
( 15,380,544,398,439,332,153,526,646,364,599, 38,765,281,266,244)
( 16,548,538,426,444,164,162,666,672,616,598,766,757,253,272, 20)
( 17,632,540,454,438,220,166,498,648,728,615, 94,781,729,275,692)
( 18,212,558,482,424,724,167,106,669,756,611,682,773,617,260,468)
( 19,324,545,510,422,360,151, 50,653,308,602,234,771,365,264,412)
( 21,184,537,566,423,136,147, 78,665,196,593,570,759,113,259, 76)
( 22,660,560,594,430,780,141,274,664, 28,604,542,762,421,276,160)
( 23,688,549,622,428,472,158,218,670,504,592,710,783, 85,277,748)
( 25,744,555,678,437,640,148,470,662,224,614,486,760,701,279,104)
( 26,492,536,706,447,108,165,750,667,700,605,626,764,449,270,216)
( 27,100,557,734,443,696,157,638,652,476,606,206,782,477,256,720)
( 30,345,291, 42,233,295,378,236,407,383,320,405,523,310,349,515)
( 31,121,287, 70,245,183,369,572,395,131,315, 69,525,170,341,571)
( 32,709,307, 98,249,743,387,684,409,635,316,461,522,198,362,487)
( 33,569,283,126,231, 71,385,180,397,579,311,125,511, 58,357,179)
( 35, 65,301,182,229,575,367,124,399, 75,329,181,509,562,339,123)
( 36,457,298,210,250,491,368,712,419,103,333,741,527,674,353,627)
( 37,289,294,238,239,379,376,404,411,327,321,517,506,338,347, 39)
( 40,401,299,322,237,519,366,348,403, 47,317,293,518,226,351,375)
( 41,513,282,350,235, 43,373,292,406,243,323,377,516,394,355,319)
( 45,625,288,462,242,211,390,488,396,719,335, 97,529,730,359,683)
( 46,205,306,490,228,715,391, 96,417,747,331,685,521,618,344,459)
( 49,177,285,574,227,127,371, 68,413,187,313,573,507,114,343, 67)
( 51,681,297,630,232,463,382,208,418,495,312,713,531, 86,361,739)
( 53,737,303,686,241,631,372,460,410,215,334,489,508,702,363, 95)
( 54,485,284,714,251, 99,389,740,415,691,325,629,512,450,354,207)
( 55, 93,305,742,247,687,381,628,400,467,326,209,530,478,340,711)
( 59,133,175, 61,581,171,117,567)( 60,721,195, 89,585,731,135,679, 73,
637,176,453,578,199,138,483)( 63, 77,189,173,565,563,115,119)
( 64,469,186,201,586,479,116,707, 83,105,193,733,583,675,129,623)
( 74,217,194,481,564,703,139, 91, 81,749,191,677,577,619,120,455)
( 79,693,185,621,568,451,130,203, 82,497,172,705,587, 87,137,735)
( 88,725,755,107,697,745,639,680,465,634,204,474,494,200,726,503)
( 92,473,746,219,698,493,620,708,475,102,221,754,499,676,717,643)
(101,641,736,471,690,213,642,484,452,718,223,110,501,732,723,699)
(109,753,751,695,689,633,624,456,466,214,222,502,480,704,727,111),
( 1,500,540,516,116,770)( 2,640,534,628,114,630)( 3,108,547,152,119,
378)( 4,780,533,488,120,518)( 5, 52,549,600,123,350)
( 6,444,560,740,137,574)( 7,388,535, 96,127,154)( 8,528,536,768,
113,490)( 9,192,542,684,130,462)( 10,696,550,460,121,182)
( 11,360,537, 40,129,602)( 12,136,546)( 13,220,559,264,133, 70)
( 14, 24,556,544,124,126)( 15,164,539,376,115, 98)( 16,304,554,236,
135,658)( 17,612,543,348,117, 42)( 18,472,541,180,122,686)
( 19,416,558,320,132,714)( 20,724,551,404,138,322)( 21, 80,545,208,
139,266)( 22,248,555,656,128,294)( 23,668,548,292,134,238)
( 25,584,538,432,140,742)( 26,332,552,712,131,406)( 27,276,553, 68,
125,210)( 28,752,557,572,118,434)( 29,493,596,515,340,761)
( 30,633,590,627,338,621)( 31,101,603,151,343,369)( 32,773,589,487,
344,509)( 33, 45,605,599,347,341)( 34,437,616,739,361,565)
( 35,381,591, 95,351,145)( 36,521,592,767,337,481)( 37,185,598,683,
354,453)( 38,689,606,459,345,173)( 39,353,593)( 41,213,615,263,357,
61)( 43,157,595,375,339, 89)( 44,297,610,235,359,649)
( 46,465,597,179,346,677)( 47,409,614,319,356,705)( 48,717,607,403,
362,313)( 49, 73,601,207,363,257)( 50,241,611,655,352,285)
( 51,661,604,291,358,229)( 53,577,594,431,364,733)( 54,325,608,711,
355,397)( 55,269,609, 67,349,201)( 56,745,613,571,342,425)
( 57,489,204,531,256,777)( 58,629,198,643,254,637)( 59, 97,211,167,
259,385)( 60,769,197,503,260,525)( 62,433,224,755,277,581)
( 63,377,199,111,267,161)( 64,517,200,783,253,497)( 65,181,206,699,
270,469)( 66,685,214,475,261,189)( 69,209,223,279,273, 77)
( 71,153,203,391,255,105)( 72,293,218,251,275,665)( 74,461,205,195,
262,693)( 75,405,222,335,272,721)( 76,713,215,419,278,329)
( 78,237,219,671,268,301)( 79,657,212,307,274,245)( 81,573,202,447,
280,749)( 82,321,216,727,271,413)( 83,265,217)( 84,741,221,587,258,
441)( 85,491,148,511,368,759)( 86,631,142,623,366,619)
( 87, 99,155,147,371,367)( 88,771,141,483,372,507)( 90,435,168,735,
389,563)( 91,379,143)( 92,519,144,763,365,479)( 93,183,150,679,382,
451)( 94,687,158,455,373,171)(100,295,162,231,387,647)
(102,463,149,175,374,675)(103,407,166,315,384,703)(104,715,159,399,
390,311)(106,239,163,651,380,283)(107,659,156,287,386,227)
(109,575,146,427,392,731)(110,323,160,707,383,395)(112,743,165,567,
370,423)(169,486,680,522,452,765)(170,626,674,634,450,625)
(172,766,673,494,456,513)(174,430,700,746,473,569)(176,514,676,774,
449,485)(177,178,682,690,466,457)(184,290,694,242,471,653)
(186,458,681)(187,402,698,326,468,709)(188,710,691,410,474,317)
(190,234,695,662,464,289)(191,654,688,298,470,233)(193,570,678,438,
476,737)(194,318,692,718,467,401)(196,738,697,578,454,429)
(225,499,652,520,284,778)(226,639,646,632,282,638)(228,779,645,492,
288,526)(230,443,672,744,305,582)(232,527,648,772,281,498)
(240,303,666)(243,415,670,324,300,722)(244,723,663,408,306,330)
(246,247,667,660,296,302)(249,583,650,436,308,750)(250,331,664,716,
299,414)(252,751,669,576,286,442)(309,496,708,523,396,782)
(310,636,702,635,394,642)(312,776,701,495,400,530)(314,440,728,747,
417,586)(316,524,704,775,393,502)(327,412,726)(328,720,719,411,418,
334)(333,580,706,439,420,754)(336,748,725,579,398,446)
(421,504,736,529,564,762)(422,644,730,641,562,622)(424,784,729,501,
568,510)(426,448,756,753,585,566)(428,532,732,781,561,482)
(445,588,734)(477,484,512,508,760,757)(478,624,506,620,758,617)
(480,764,505) ] ],
[ 4, 508032, 0, "4c", [ [ 81, 3 ], [ 18, 3 ], [ 162, 3 ] ], 1,
"PSL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ],
[ ( 1,413,556,680,342,593,504,241,330,460, 86,634,377,523, 31,222,172,653)
( 2,637,545,512,339,201,480,661,309,404,108,690,370,607, 56,250,190,
457)( 3,217,536,652,337,397,500,689,314,600,112,242,386,467, 30,642,
181,513)( 4,665,533,400,360,677,482,605,336,236,106,466,366,635, 41,
530,171,205)( 5,497,549,316,348, 89,494,381,327, 40,110,186,373, 19,
49,558,176,345)( 6,609,560,232,358,453,478,633,321,516, 87,214,368,
663, 29,418,192,681)( 7,581,539,568,343,565,483,577,315,572, 91,578,
371,579, 35,586,175,569)( 8,357,537,484,353,313,488,101,326,376,103,
46,390,187, 37, 26,189,541)( 9, 21,553,540,344,341,481,493,325,320,
96,102,382,383, 47, 54,194,177)( 10, 77,557,148,359,257,491,129,324,
292,104,746,375,719, 55,446,182,765)( 11,721,559,428,350,761,486, 73,
333,152,107,270,379,131, 44,306,188,737)( 12,105,550,372,355, 33,502,
185,317)( 13,525,535,204,340,649,477,409,332,684, 90,606,392,243, 50,
474,170,625)( 14,777,542, 64,361,145,499,269,323,124,100,298,384,747,
39,726,195,429)( 15,133,548,288,356,733,487,717,335,432, 98,774,374,
75, 53,166,191,261)( 16,301,552,736,347,705,503,437,322,768, 94, 74,
389,159, 51,278,183,121)( 17,329,544, 92,354,369,495, 45,334,180, 93,
18,385,551, 36,362,173,485)( 20,749,543,708,363,425,490,773,318, 68,
109,158,387,271, 43,138,184,289)( 22,469,534,624,349,509,479,213,312,
656, 85,410,388,691, 34,614,196,233)( 23,273,547,120,352,285,496,745,
319,712,111,438,378,775, 38, 82,193,149)( 24,693,538,596,364,229,498,
465,310,628, 97,522,367,215, 32,670,169,401)( 25,161,555,260,351,117,
492,297,328,740, 95,718,391,439, 42,782,178, 65)( 27,441,546,764,346,
61,501,157,331,264, 99,130,380,299, 48,754,179,709)( 28,245,554,456,
338,621,489,521,311,208, 88,662,365,411, 52,698,174,597)
( 57,417,164,695,258,603,140,240,302,468,730,627,713,531,423,210,760,
654)( 58,641,153,527,255,211,116,660,281,412,752,683,706,615,448,238,
778,458)( 59,221,144,667,253,407,136,688,286,608,756,235,722,475,422,
630,769,514)( 60,669,141,415,276,687,118,604,308,244,750,459,702,643,
433,518,759,206)( 62,613,168,247,274,463,114,632,293,524,731,207,704,
671,421,406,780,682)( 63,585,147,583,259,575,119,576,287,580,735,571,
707,587,427,574,763,570)( 66, 81,165,163,275,267,127,128,296,300,748,
739,711,727,447,434,770,766)( 67,725,167,443,266,771,122, 72,305,160,
751,263,715,139,436,294,776,738)( 69,529,143,219,256,659,113,408,304,
692,734,599,728,251,442,462,758,626)( 70,781,150, 79,277,155,135,268,
295,132,744,291,720,755,431,714,783,430)( 71,137,156,303,272,743,123,
716,307,440,742,767,710, 83,445,154,779,262)( 76,753,151,723,279,435,
126,772,290)( 78,473,142,639,265,519,115,212,284,664,729,403,724,699,
426,602,784,234)( 80,697,146,611,280,239,134,464,282,636,741,515,703,
223,424,658,757,402)( 84,249,162,471,254,631,125,520,283,216,732,655,
701,419,444,686,762,598)(197,396,668,673,398,612,700,230,610,476,226,
638,461,506,619,209,508,647)(198,620,657,505,395,220,676,650,589,420,
248,694,454,590,644,237,526,451)(199,200,648,645,393,416,696,678,594,
616,252,246,470,450,618,629,517,507)(202,592,672,225,414,472,674,622,
601,532,227,218,452,646,617,405,528,675)(203,564,651,561,399,584,679,
566,595,588,231,582,455,562,623,573,511,563)(224,228,666,449,394,640,
685,510,591), ( 1, 92, 67,118,742,669,489,198,299,259,621, 52,251,
604,681,386,152,469)( 2,288, 63,622,752,249,492,674,302,147,637, 24,
232, 72,678,750,165,497)( 3,344, 84,762,732,585,486,702,297,539,631,
192,247,408,698,526,160,329)( 4,568, 66,706,745,557,491,170,303,399,
642,528,244,324,675,358,168,777)( 5, 36, 83,594,737,389,488,450,281,
91,627,136,238,660,685,218,159,273)( 6,736, 81,482,730,305,483,618,
304,231,632,696,246,156,693, 22,148, 77)( 7,624, 80,230,744,697,498,
142,301)( 8, 64, 62,734,753,501,478,282,287,623,640,248,240,688,694,
162,161, 21)( 9,372, 68,454,729,109,487,114,294,651,629,220,243,268,
677, 50,167,609)( 10,708, 73,538,743,193,499,394,306,511,636,332,227,
352,700,778,144,581)( 11,120, 70,650,741,221,495,254,285, 35,643,612,
233,380,684,470,141,105)( 12,456, 57, 90,739,137,490,646,293,203,635,
276,229, 44,699,610,149,385)( 13,204, 75,258,733, 53,503,590,289,371,
628,472,225,100,683,134,154,665)( 14,652, 69,202,747,277,481, 30,307,
595,625,388,236,464,673,106,151,133)( 15,176, 79,398,754,529,496,310,
283,343,644,780,228,576,682,722,157,553)( 16,680, 78,146,749, 25,484,
58,286,735,641,500,226,296,679,638,164,245)( 17,540, 71,174,751,417,
502,506,300,315,619,360,252,772,676,582,150,721)( 18,428, 74,426,746,
445,494,422,298,427,634,444,242,436,690,442,158,441)( 19,260, 61, 34,
755,613,485,366,292,455,617,108,235,128,686,666,153,217)
( 20,316, 59,342,756,781,480,562,290,707,633,556,239,184,695,414,166,
525)( 23,400, 82,510,748,333,479,338,308,763,620,584,234,716,689,554,
155,189)( 26,512, 76,314,731,361,504,758,284,567,626,724,241,548,687,
190,163,413)( 27,596, 65,370,740,473,477, 86,291,119,630,668,237,212,
691,274,145, 49)( 28,764, 60,566,738,725,493,534,295,175,639,416,250,
520,692,330,143,357)( 29,111,599,121,378,656,461,197,103,263,117, 42,
671,601,205,383,264,453)( 31,363,616,765,368,572,458,701,101,543,127,
182,667,405,222,523,272,313)( 32,587,598,709,381,544,463,169,107,403,
138,518,664,321,199,355,280,761)( 33, 55,615,597,373,376,460,449, 85,
95,123,126,658,657,209,215,271,257)( 37,391,600,457,365, 96,459,113,
98,655,125,210,663,265,201, 47,279,593)( 38,727,605,541,379,180,471,
393,110,515,132,322,647,349,224,775,256,565)( 39,139,602,653,377,208,
467,253, 89)( 40,475,589, 93,375,124,462,645, 97,207,131,266,649, 41,
223,607,261,369)( 43,195,611,401,390,516,468,309, 87,347,140,770,648,
573,206,719,269,537)( 45,559,603,177,387,404,474,505,104,319,115,350,
672,769,200,579,262,705)( 46,447,606,429,382,432,466,421,102,431,130,
434,662,433,214,439,270,425)( 48,335,591,345,392,768,452,561, 94,711,
129,546,659,181,219,411,278,509)( 51,419,614,513,384,320,451,337,112,
767,116,574,654,713,213,551,267,173)( 54,531,608,317,367,348,476,757,
88,571,122,714,661,545,211,187,275,397)( 56,783,592,569,374,712,465,
533, 99,179,135,406,670,517,216,327,255,341)(171,359,420,782,508,580,
318,703,353,560,771,172,583,402,726,521,552,323)(178,723,409,558,519,
188,331,395,362,532,776,312,563,346,728,773,536,575)(183,191,415,418,
530,524,328,311,339,364,784,760,564,570,710,717,549,547)
(185,555,407,194,527,412,334,507,356,336,759,340,588,766,704,577,542,
715)(186,443,410,446,522,440,326,423,354,448,774,424,578,430,718,437,
550,435)(196,779,396,586,514,720,325,535,351) ] ],
[ 5, 1524096, 0, "4c", [ [ 243, 1 ], [ 486, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 8)^2.6", [ "L", [ 2, 8 ], 2 ],
[ ( 1,203,529,701,200,557,726,396,550, 26,399,522)( 2,119,526, 29,209,641,
727,564,548,754,416,774)( 3,175,523,309,211,501,712, 88,552, 82,400,
690)( 4,539,530,393,214, 25,707,508,533,222,417,718)
( 5,427,518,645,219,389,721,592,538,362,420,158)( 6,343,532,141,201,
445,714,648,555,390,413,606)( 7,511,505,197,221,725,704,536,558,418,
410, 18)( 8,679,507,169,215,333,715,480,544,110,412, 74)
( 9,287,514,253,213,249,709,284,542,278,409,242)( 10,259,521,225,205,
305,710,256,549,250,401,298)( 11,455,515,449,207,473,711,452,543,474,
403,466)( 12, 91,524, 57,204,697,703,172,551,334,407,494)
( 13,623,531,561,212,753,724,760,534,138,414, 46)( 14,651,527,365,217,
613,706,340,560,166,397,438)( 15,483,516, 85,216, 81,708,676,535,194,
411,326)( 16,735,528,757,198,137,722, 32,545,642,419,578)
( 17,231,513,281,206,277,717,228,541,306,402,270)( 19,315,519,477,208,
109,720, 60,540,698,395,186)( 20, 63,512,673,199,193,719,312,547,502,
404,102)( 21,595,510,337,224,165,705,424,546,670,415,382)
( 22, 35,517,617,223,585,716,732,556,782,394,130)( 23,371,525,589,202,
361,728,144,537,446,406,662)( 24,763,506,113,218, 53,713,620,559,586,
408,746)( 27,567,520,729,220,781,702,116,554, 54,405,634)
( 28,147,509,421,210,669,723,368,553,614,398,354)( 30,125,638, 55,573,
632,755,584,772,730,136,778)( 31,181,635,335,575,492,740,108,776, 58,
120,694)( 33,433,630,671,583,380,749,612,762,338,140,162)
( 34,349,644,167,565,436,742,668,779,366,133,610)( 36,685,619,195,579,
324,743,500,768, 86,132, 78)( 37,293,626,279,577,240,737,304,766,254,
129,246)( 38,265,633,251,569,296,738,276,773,226,121,302)
( 39,461,627,475,571,464,739,472,767,450,123,470)( 40, 97,636, 83,568,
688,731,192,775,310,127,498)( 41,629,643,587,576,744,752,780,758,114,
134, 50)( 42,657,639,391,581,604,734,360,784,142,117,442)
( 43,489,628,111,580, 72,736,696,759,170,131,330)( 44,741,640,783,562,
128,750, 52,769,618,139,582)( 45,237,625,307,570,268,745,248,765,282,
122,274)( 47,321,631,503,572,100,748, 80,764,674,115,190)
( 48, 69,624,699,563,184,747,332,771,478,124,106)( 49,601,622,363,588,
156,733,444,770,646,135,386)( 51,377,637,615,566,352,756,164,761,422,
126,666)( 56,153,621,447,574,660,751,388,777,590,118,358)
( 59,176,691,311,183,495,320, 99,496, 68, 92,692)( 61,428,686,647,191,
383,329,603,482,348,112,160)( 62,344,700,143,173,439,322,659,499,376,
105,608)( 64,680,675,171,187,327,323,491,488, 96,104, 76)
( 65,288,682,255,185,243,317,295,486,264,101,244)( 66,260,689,227,177,
299,318,267,493,236, 93,300)( 67,456,683,451,179,467,319,463,487,460,
95,468)( 70,652,695,367,189,607,314,351,504,152, 89,440)
( 71,484,684, 87,188, 75,316,687,479,180,103,328)( 73,232,681,283,178,
271,325,239,485,292, 94,272)( 77,596,678,339,196,159,313,435,490,656,
107,384)( 79,372,693,591,174,355,336,155,481,432, 98,664)
( 84,148,677,423,182,663,331,379,497,600, 90,356)(145,425,434,658,667,
387,385,609,594,342,364,168)(146,341,448,154,649,443,378,665,611,370,
357,616)(149,285,430,266,661,247,373,301,598,258,353,252)
(150,257,437,238,653,303,374,273,605,230,345,308)(151,453,431,462,655,
471,375,469,599,454,347,476)(157,229,429,294,654,275,381,245,597,286,
346,280)(161,593,426,350,672,163,369,441,602,650,359,392)
(233,289,290,262,269,241)(234,261,297)(235,457,291,458,263,465),
( 1,294,505,291,477,307,197,298, 85,296,309,306)( 2,434,519,235,484,
363,209,270, 93, 44,331,474)( 3,546,528,627,504,419,206,130,101, 72,
313,166)( 4,686,526,375,483,195,208,774,109,716,328,586)
( 5,154,507,543,500,643,224,410, 94,128,325, 82)( 6,742,525,655,495,
615,202,746,105,660,327,614)( 7,182,516,767,501,727,216,578, 88,688,
330,390)( 8,350,517,263,485, 55,219,466, 86,436,323,250)
( 9, 42,527,459,478,447,211,242, 92,352,321,278)( 10,126,521, 67,481,
167,199,550,108,632,336,418)( 11,490,531,207,494,111,212,326,110, 16,
322,530)( 12,770,529,711,496,587,200,690,106,380,315,194)
( 13,266,513, 39,499,475,198,438, 99,240,316,362)( 14,518,515,487,503,
223,214,102,100,324,334, 26)( 15,238,512,347,489,279,205, 46,107,464,
310,446)( 17, 70,509,151,479,559,220,634,112,408,318,138)
( 18, 98,520,319,502, 27,210,522, 95,492,335,222)( 19,602,510,739,497,
671,215,606, 90,744,329,670)( 20,574,508,683,498,391,203,186, 96,772,
333,726)( 21,658,523,599,482,755,217,662,103,604,314,754)
( 22,378,511,179,488,783,221,718,104,576,312,698)( 23,462,506,431,491,
251,204,354, 97,268,317, 54)( 24,630,532,403,486,139,213, 74, 89,156,
311,558)( 25,714,524,571,480,699,218,382, 91,184,320,782)
( 28,406,514,123,493, 83,201,158, 87,548,332,642)( 29,303,449,282,421,
295,225,288,337,293,253,289)( 30,443,463,226,428,351,237,260,345, 41,
275,457)( 31,555,472,618,448,407,234,120,353, 69,257,149)
( 32,695,470,366,427,183,236,764,361,713,272,569)( 33,163,451,534,444,
631,252,400,346,125,269, 65)( 34,751,469,646,439,603,230,736,357,657,
271,597)( 35,191,460,758,445,715,244,568,340,685,274,373)
( 36,359,461,254,429, 43,247,456,338,433,267,233)( 37, 51,471,450,422,
435,239,232,344,349,265,261)( 38,135,465, 58,425,155,227,540,360,629,
280,401)( 40,779,473,702,440,575,228,680,358,377,259,177)
( 45, 79,453,142,423,547,248,624,364,405,262,121)( 47,611,454,730,441,
659,243,596,342,741,273,653)( 48,583,452,674,442,379,231,176,348,769,
277,709)( 49,667,467,590,426,743,245,652,355,601,258,737)
( 50,387,455,170,432,771,249,708,356,573,256,681)( 52,639,476,394,430,
127,241, 64,341,153,255,541)( 53,723,468,562,424,687,246,372,343,181,
264,765)( 56,415,458,114,437, 71,229,148,339,545,276,625)
( 57,285,141,283,533,304,617,308,393,290,113,297)( 59,537,164,619,560,
416,626,140,409, 66,117,157)( 60,677,162,367,539,192,628,784,417,710,
132,577)( 61,145,143,535,556,640,644,420,402,122,129, 73)
( 62,733,161,647,551,612,622,756,413,654,131,605)( 63,173,152,759,557,
724,636,588,396,682,134,381)( 68,761,165,703,552,584,620,700,414,374,
119,185)( 75,593,146,731,553,668,635,616,398,738,133,661)
( 76,565,144,675,554,388,623,196,404,766,137,717)( 77,649,159,591,538,
752,637,672,411,598,118,745)( 78,369,147,171,544,780,641,728,412,570,
116,689)( 80,621,168,395,542,136,633, 84,397,150,115,549)
( 81,705,160,563,536,696,638,392,399,178,124,773)(169,292,757,305,701,
300,561,284,673,302,365,287)(172,684,778,389,707,188,572,760,697,722,
384,567)(174,740,777,669,719,608,566,732,693,666,383,595)
(175,180,768,781,725,720,580,564,676,694,386,371)(187,600,762,753,721,
664,579,592,678,750,385,651)(189,656,775,613,706,748,581,648,691,610,
370,735)(190,376,763,193,712,776,585,704,692,582,368,679)
(286,729,301,645,299,589)(594,734,749,665,663,607)(609,650,747) ] ],
[ 6, 1524096, 0, "4c", [ [ 243, 3 ], [ 54, 1 ] ], 1, "PSL(2, 8)^2.Sym(3)",
[ "L", [ 2, 8 ], 2 ],
[ ( 1,436,540,405,455,157,572,318,640,509,102,246,385,356)( 2,660,536,769,
459,185,579, 38,625, 61, 99,694,370,300)( 3,492,558,265,476,129,587,
598,641,201, 98,750,387,720)( 4,772,543,181,467, 45,569, 66,631,677,
90,302,366,664)( 5,100,554,377,468, 17,576,542,629,453,101,582,374,
636)( 6,296,534,657,452,773,571,178,635, 33, 93, 78,379,692)
( 7,156,544,321,472,521,578,234,637,341, 85,442,372,412)
( 8,408,539,153,460,325,584,514,634,229,105,358,365,440)
( 9, 72,547,685,454,297,562,654,620,761, 95,190,383, 48)
( 10,632,537, 97,470,381,580)( 11,184,551, 41,457, 73,575,682,622,285,
86,666,368,776)( 12,324,556,517,466,241,581,346,617,425, 92,414,371,
160)( 13,464,549,573,458,633,565, 94,638,369,104, 22,380,552)
( 14,744,555,713,451,493,586,262,644,117,111,610,389,216)
( 15,688,538,293,450,661,564,766,627,173,103, 50,373, 76)
( 16,548,545,461,465,577,570,626,621, 89,106,386,384, 20)
( 18,240,553,349,449,437,568,402,623,145, 96,330,388,524)
( 19, 44,541, 69,463,689,566,290,618,649, 88,778,375,188)
( 21,352,533,433,456,409,567,150,628,313,108,526,382,244)
( 23,716,535,489,474,269,588,122,643,593,109,218,378,748)
( 24,520,550,237,469,353,561,430,624,397, 91,162,376,328)
( 25,212,546,741,471,717,563,486,642,257,112,134,391,608)
( 26,268,560,125,475,605,585,206,630,733,107,722,367,496)
( 27,604,557,209,462,745,583,710,619,481,110,274,392,132)
( 28,128,559,601,473,213,574,738,639,705, 87,498,390,272)
( 29,429, 64,407,679,146,292,310,668,508,774,235,189,355)
( 30,653, 60,771,683,174,299)( 31,485, 82,267,700,118,307,590,669,200,
770,739,191,719)( 32,765, 67,183,691, 34,289, 58,659,676,762,291,170,
663)( 35,149, 68,323,696,510,298,226,665,340,757,431,176,411)
( 36,401, 63,155,684,314,304,506,662,228,777,347,169,439)
( 37, 65, 71,687,678,286,282,646,648,760,767,179,187, 47)
( 39,177, 75, 43,681, 62,295,674,650,284,758,655,172,775)
( 40,317, 80,519,690,230,301,338,645,424,764,403,175,159)
( 42,737, 79,715,675,482,306,254,672,116,783,599,193,215)
( 46,233, 77,351,673,426,288,394,651,144,768,319,192,523)
( 49,345, 57,435,680,398,287,142,656,312,780,515,186,243)
( 51,709, 59,491,698,258,308,114,671,592,781,207,182,747)
( 52,513, 74,239,693,342,281,422,652,396,763,151,180,327)
( 53,205, 70,743,695,706,283,478,670,256,784,123,195,607)
( 54,261, 84,127,699,594,305,198,658,732,779,711,171,495)
( 55,597, 81,211,686,734,303,702,647,480,782,263,196,131)
( 56,121, 83,603,697,202,294,730,667,704,759,487,194,271)
(113,447,596,417,203,154,740,331,724,507,494,250,273,364)
(115,503,614,277,224,126,755,611,725,199,490,754,275,728)
(119,167,600,333,220,518,746,247,721,339,477,446,260,420)
(120,419,595,165,208,322,752,527,718,227,497,362,253,448)
(124,335,612,529,214,238,749,359,701,423,484,418,259,168)
(130,251,609,361,197,434,736,415,707,143,488,334,276,532)
(133,363,589,445,204,406,735,163,712,311,500,530,270,252)
(135,727,591,501,222,266,756)(136,531,606,249,217,350,729,443,708,395,
483,166,264,336)(137,223,602,753,219,714,731,499,726,255,504,138,279,
616)(139,615,613,221,210,742,751,723,703,479,502,278,280,140)
(141,432,316,416,511,158,236,329,360,505,438,232,413,343)
(147,152,320,332,528,522,242,245,357,337,421,428,400,399)
(148,404,315,164,516,326,248,525,354,225,441,344,393,427)
(161,348,309,444,512,410,231),
( 1,576,367,621,445,298,594,691,735,245,310,779,552,648)
( 2,772,384,649,421,578,591,635,753,301,314,695,539,228)
( 3,632,389,285,426,690,595,243,730,777,328,667,533,564)
( 4, 16,380,369,425,438,606,607,747,749,329,331,555,536)
( 5,436,382,593,439,746,609,327,751,553,312, 23,548,368)
( 6,688,371,229,422,774,608,663,729,581,311,639,557,284)
( 7,240,366,761,440,662,589,579,731,637,333,303,538,676)
( 8, 44,377,257,434,410,605,103,737,469,335,163,556,480)
( 9,464,391,145,444,494,596, 47,741,273,322,415,549, 88)
( 10,520,379,201,431,354,614, 75,750,721,336,135,544,172)
( 11,352,390, 61,442,718,616,131,740,189,318,527,547,200)
( 12,184,374,509,435,214,599,355,754, 77,330,723,560,116)
( 13,268,378,397,437,102,597,467,755,161,332,499,540, 32)
( 14,408,381, 89,429,466,615,159,752,497,316, 51,545,256)
( 15,212,375,341,446, 74,610,719,756,133,320,191,542,508)
( 17,100,373,453,447,158,612,495,736, 49,321,275,546,396)
( 18,604,383,733,441,326,611,551,732, 21,324,387,537,424)
( 19,744,385,313,443,550,592)( 20,660,365,565,423,634,613,299,734,693,
315,247,534,760)( 22,716,392,117,432,186,598,523,743,217,319,359,558,
60)( 24,492,372, 33,433,270,602,411,745,105,317,471,559,144)
( 25,296,370,677,427,242,590,775,748,665,309,583,535,620)
( 26, 72,386,705,448,130,600,187,738,525,323,219,543,340)
( 27,156,388,481,428, 46,601,271,742,413,325,107,541,452)
( 28,128,376,173,430,522,603,215,739,357,334, 79,554,704)
( 29,573,255,630,417,297, 90,681,455,251,142,780,496,652)
( 30,769,272,658,393,577, 87,625,473,307,146,696,483,232)
( 31,629,277,294,398,689, 91,233,450,783,160,668,477,568)
( 34,685,259,238,394,773,104,653,449,587,143,640,501,288)
( 35,237,254,770,412,661, 85,569,451,643,165,304,482,680)
( 36, 41,265,266,406,409,101, 93,457,475,167,164,500,484)
( 37,461,279,154,416,493, 92)( 38,517,267,210,403,353,110, 65,470,727,
168,136,488,176)( 39,349,278, 70,414,717,112,121,460,195,150,528,491,
204)( 40,181,262,518,407,213, 95,345,474, 83,162,724,504,120)
( 42,405,269, 98,401,465,111,149,472,503,148, 52,489,260)
( 43,209,263,350,418, 73,106,709,476,139,152,192,486,512)
( 45, 97,261,462,419,157,108,485,456, 55,153,276,490,400)
( 48,657,253,574,395,633,109,289,454,699,147,248,478,764)
( 50,713,280,126,404,185, 94,513,463,223,151,360,502, 64)
( 53,293,258,686,399,241, 86,765,468,671,141,584,479,624)
( 54, 69,274,714,420,129, 96,177,458,531,155,220,487,344)
( 56,125,264,182,402,521, 99,205,459,363,166, 80,498,708)
( 57,582,703,644,137,292,174,682,511,239,198,767,356,670)
( 58,778,720,672,113,572,171,626,529,295,202,683,343,250)
( 59,638,725,308,118,684,175,234,506,771,216,655,337,586)
( 62,694,707,252,114,768,188,654,505,575,199,627,361,306)
( 63,246,702,784,132,656,169,570,507,631,221,291,342,698)
( 66,526,715,224,123,348,194)( 67,358,726, 84,134,712,196,122,516,183,
206,515,351,222)( 68,190,710,532,127,208,179,346,530, 71,218,711,364,
138)( 76,666,701,588,115,628,193,290,510,687,203,235,338,782)
( 78,722,728,140,124,180,178,514,519,211,207,347,362, 82)
( 81,302,706,700,119,236,170,766,524,659,197,571,339,642)
(225,562,759,636,669,281,566,675,623,249,282,762,692,651)
(226,758,776,664,645,561,563,619,641,305,286,678,679,231)
(227,618,781,300,650,673,567)(230,674,763,244,646,757,580,647,617,585,
283,622,697,287) ] ],
[ 7, 4572288, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PGammaL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ],
[ ( 1,305,672,689,530,317,402,270,704,227,145,349, 76,218,624,579,763,426)
( 2,501,671,465,516,177,406,606,721,535,155,377, 72, 50,627,131,780,
734)( 3,165,657, 73,526,625,411,774,706)( 4,249,649,353,524,205,
400,578,707,423,141,293, 84,694,642,327,766,258)( 5,361,664,213,512,
569,399,438,701,283,168,685, 82,330,626,271,760,230)( 6, 25,669,661,
521,513,401,410,718,703,143,153, 69, 78,638,635,775,762)
( 7,445,645,297,532,681,418,326,710,255,144,237, 61,358,636,215,764,
566)( 8,585,651,437,505,289,420,690,726,311,150,265, 60,246,621,355,
776,202)( 9,417,662,717,507,149,405, 74,722,619,159,769, 62, 22,641,
663,773,510)( 10,277,648,241,509,345,412,214,708,563,147,433, 57,302,
644,691,782,314)( 11,137,668,745,506,485,419,466,712,171,154,601, 77,
554,631,383,772, 34)( 12,193,658,605,525,541,407,382,716, 31,151,125,
80,750,618,495,783,454)( 13, 81,666,633,523,765,398, 18,725,647,157,
517, 65,414,634,719,759,146)( 14,613,665,549,519,373,408, 46,711,115,
164,741, 58,498,643,467,768,174)( 15,389,660, 45,515,121,416,746,702,
479,167,461, 68,190,630,607,777,538)( 16, 53,655,129,528,737,394,494,
727,451,152,181, 70,610,637,551,771,370)( 17,529,653,409,522,709,395,
158,713, 59,162,629, 75,778,622, 19,781,650)( 20,221,652,577,511,429,
393,298,728,675,166,321, 66,274,620,243,761,342)( 21,557,659,381,520,
37,403,130,724,731,142,489, 83,470,628,187,770,594)( 23,109,667,101,
527, 93,415,102,723, 87,163, 97, 79,106,639,103,779, 90)
( 24,753,646,493,531,457,404,186,714,591,161,545, 71,386,632, 47,767,
118)( 26,333,654,269,508,233,397,354,720,199,148,573, 63,442,617,299,
784,678)( 27,473,656,185,518,597,413,550,715,367,156, 41, 67,134,640,
747,758,482)( 28,697,670,325,514,261,396,242,705,339,160,209, 64,582,
623,439,757,286)( 29,291,140,696,754,310,486,279,452,236,173,350,608,
217,540,575,371,436)( 30,487,139,472,740,170,490,615,469,544,183,378,
604, 49,543,127,388,744)( 32,235,117,360,748,198,484,587,455,432,169,
294,616,693,558,323,374,268)( 33,347,132,220,736,562,483,447,449,292,
196,686,614,329,542,267,368,240)( 35,431,113,304,756,674,502,335,458,
264,172,238,593,357,552,211,372,576)( 36,571,119,444,729,282,504,699,
474,320,178,266,592,245,537,351,384,212)( 38,263,116,248,733,338,496,
223,456,572,175,434,589,301,560,687,390,324)( 39,123,136,752,730,478,
503,475,460,180,182,602,609,553,547,379,380, 44)( 40,179,126,612,749,
534,491,391,464)( 42,599,133,556,743,366,492, 55,459,124,192,742,590,
497,559,463,376,184)( 43,375,128, 52,739,114,500,755,450,488,195,462,
600,189,546,603,385,548)( 48,207,120,584,735,422,477,307,476,684,194,
322,598,273,536,239,369,352)( 51, 95,135,108,751, 86,499,111,471, 96,
191, 98,611,105,555, 99,387,100)( 54,319,122,276,732,226,481,363,468,
208,176,574,595,441,533,295,392,688)( 56,683,138,332,738,254,480,251,
453,348,188,210,596,581,539,435,365,296)( 85,303,112,695,110,331, 94,
275, 88,247, 89,359,104,219, 92,583, 91,443)(197,288,588,679,446,309,
290,280,676,250,313,346,272,200,232,565,343,440)(201,344,580,203,428,
561,287,448,673,306,336,682,278,312,234,257,340,244)(204,568,567,427,
421,281,308,700,698,334,318,262,256,228,229,341,356,216)
(206,260,564,231,425,337,300,224,680,586,315,430,253,284,252,677,362,
328)(222,316,570,259,424,225,285,364,692),
( 1,426,189)( 2,438,177, 13,434,183)( 3,424,175, 10,432,188)
( 4,427,178, 12,440,171)( 5,444,193, 28,437,190)( 6,441,169)
( 7,430,180, 20,423,172)( 8,446,184, 23,447,179)( 9,433,182, 15,
422,186)( 11,428,194, 16,443,195)( 14,435,170, 18,429,181)
( 17,442,173, 24,445,196)( 19,439,187)( 21,421,174)( 22,425,192, 25,
448,185)( 26,436,191, 27,431,176)( 29,202,525,589,454,721)
( 30,214,513,601,462,715)( 31,200,511,598,460,720)( 32,203,514,600,
468,703)( 33,220,529,616,465,722)( 34,217,505,594,469,701)
( 35,206,516,608,451,704)( 36,222,520,611,475,711)( 37,209,518,603,
450,718)( 38,208,524,591,452,707)( 39,204,530,604,471,727)
( 40,216,507,592,455,710)( 41,210,519,590,466,709)( 42,211,506,606,
457,713)( 43,198,522,597,461,714)( 44,219,531,599,456,726)
( 45,218,509,612,473,728)( 46,205,517,602,463,702)( 47,215,523,607,
467,719)( 48,199,508,595,458,712)( 49,197,510,609,449,706)
( 50,201,528,613,476,717)( 51,223,515,596,474,716)( 52,221,532,605,
470,705)( 53,224,521,610,453,724)( 54,212,527,615,459,708)
( 55,207,512,614,464,723)( 56,213,526,593,472,725)( 57,286,413,141,
622,553)( 58,298,401,153,630,547)( 59,284,399,150,628,552)
( 60,287,402,152,636,535)( 61,304,417,168,633,554)( 62,301,393,146,
637,533)( 63,290,404,160,619,536)( 64,306,408,163,643,543)
( 65,293,406,155,618,550)( 66,292,412,143,620,539)( 67,288,418,156,
639,559)( 68,300,395,144,623,542)( 69,294,407,142,634,541)
( 70,295,394,158,625,545)( 71,282,410,149,629,546)( 72,303,419,151,
624,558)( 73,302,397,164,641,560)( 74,289,405,154,631,534)
( 75,299,411,159,635,551)( 76,283,396,147,626,544)( 77,281,398,161,
617,538)( 78,285,416,165,644,549)( 79,307,403,148,642,548)
( 80,305,420,157,638,537)( 81,308,409,162,621,556)( 82,296,415,167,
627,540)( 83,291,400,166,632,555)( 84,297,414,145,640,557)
( 85,566,777,645,314,357)( 86,578,765,657,322,351)( 87,564,763,654,
320,356)( 88,567,766,656,328,339)( 89,584,781,672,325,358)
( 90,581,757,650,329,337)( 91,570,768,664,311,340)( 92,586,772,667,
335,347)( 93,573,770,659,310,354)( 94,572,776,647,312,343)
( 95,568,782,660,331,363)( 96,580,759,648,315,346)( 97,574,771,646,
326,345)( 98,575,758,662,317,349)( 99,562,774,653,321,350)
(100,583,783,655,316,362)(101,582,761,668,333,364)(102,569,769,658,
323,338)(103,579,775,663,327,355)(104,563,760,651,318,348)
(105,561,762,665,309,342)(106,565,780,669,336,353)(107,587,767,652,
334,352)(108,585,784,661,330,341)(109,588,773,666,313,360)
(110,576,779,671,319,344)(111,571,764,670,324,359)(112,577,778,649,
332,361)(113,118,133)(114,130,121,125,126,127)(115,116,119,122,124,
132)(117,136,137,140,129,134)(120,138,128,135,139,123)
(225,734,385,477,678,273)(226,746,373,489,686,267)(227,732,371,486,
684,272)(228,735,374,488,692,255)(229,752,389,504,689,274)
(230,749,365,482,693,253)(231,738,376,496,675,256)(232,754,380,499,
699,263)(233,741,378,491,674,270)(234,740,384,479,676,259)
(235,736,390,492,695,279)(236,748,367,480,679,262)(237,742,379,478,
690,261)(238,743,366,494,681,265)(239,730,382,485,685,266)
(240,751,391,487,680,278)(241,750,369,500,697,280)(242,737,377,490,
687,254)(243,747,383,495,691,271)(244,731,368,483,682,264)
(245,729,370,497,673,258)(246,733,388,501,700,269)(247,755,375,484,
698,268)(248,753,392,493,694,257)(249,756,381,498,677,276)
(250,744,387,503,683,260)(251,739,372,502,688,275)(252,745,386,481,
696,277) ] ],
[ 8, 812851200, 0, "4c",
[ [ 144, 1 ], [ 24, 1 ], [ 225, 1 ], [ 30, 1 ], [ 360, 1 ] ], 1,
"Alt(8) wreath Sym(2)", [ "A", 8, 2 ],
[ ( 1,709,347,743,136,210,415,693)( 2,317,341,491,114,322,397,497)
( 3,625,344,183,124,546,398,581)( 4,373,343,295,138, 42,419,469)
( 5,485,338,323,117,490,394,329)( 6,569,339,631,120,182,404,553)
( 7,289,362, 43,139,462,396,385)( 8,177,348,547,118,574,395,637)
( 9,345,351,127,126,406,413, 21)( 10, 65,349, 99,129,602,417,525)
( 11,737,360,211,135,686,393,721)( 12,541,342,575,115,630,400,189)
( 13, 93,353,603,137,518,402, 77)( 14,401,357, 15,121,350,407,133)
( 16,261,356,155,131,770,420,441)( 17,597,361,519,122, 70,405,105)
( 18,233,358,659,130,238,414,665)( 19,765,364,435,128,266,412,161)
( 20,149,355,771,140,434,408,273)( 22,653,354,239,134,658,410,245)
( 23,681,337,715,123,742,416,217)( 24,205,359,687,113,714,403,749)
( 25,513,346, 71,125, 98,409,609)( 26, 37,363,463,116,378,399,301)
( 27,457,340,379,119,294,418, 49)( 28,429,352,267,132,154,411,777)
( 29,727,459,732,388,203,303,698)( 30,335,453,480,366,315,285,502)
( 31,643,456,172,376,539,286,586)( 32,391,455,284,390, 35,307,474)
( 33,503,450,312,369,483,282,334)( 34,587,451,620,372,175,292,558)
( 36,195,460,536,370,567,283,642)( 38, 83,461, 88,381,595,305,530)
( 39,755,472,200,387,679,281,726)( 40,559,454,564,367,623,288,194)
( 41,111,465,592,389,511,290, 82)( 44,279,468,144,383,763,308,446)
( 45,615,473,508,374, 63,293,110)( 46,251,470,648,382,231,302,670)
( 47,783,476,424,380,259,300,166)( 48,167,467,760,392,427,296,278)
( 50,671,466,228,386,651,298,250)( 51,699,449,704,375,735,304,222)
( 52,223,471,676,365,707,291,754)( 53,531,458, 60,377, 91,297,614)
( 54, 55,475,452,368,371,287,306)( 56,447,464,256,384,147,299,782)
( 57,713, 95,745,612,221,527,682)( 58,321, 89,493,590,333,509,486)
( 59,629, 92,185,600,557,510,570)( 61,489, 86,325,593,501,506,318)
( 62,573, 87,633,596,193,516,542)( 64,181, 96,549,594,585,507,626)
( 66, 69, 97,101,605,613,529,514)( 67,741,108,213,611,697,505,710)
( 68,545, 90,577,591,641,512,178)( 72,265,104,157,607,781,532,430)
( 73,601,109,521,598, 81,517, 94)( 74,237,106,661,606,249,526,654)
( 75,769,112,437,604,277,524,150)( 76,153,103,773,616,445,520,262)
( 78,657,102,241,610,669,522,234)( 79,685, 85,717,599,753,528,206)
( 80,209,107,689,589,725,515,738)( 84,433,100,269,608,165,523,766)
(141,719,767,756,444,212,275,692)(142,327,761,504,422,324,257,496)
(143,635,764,196,432,548,258,580)(145,495,758,336,425,492,254,328)
(146,579,759,644,428,184,264,552)(148,187,768,560,426,576,255,636)
(151,747,780,224,443,688,253,720)(152,551,762,588,423,632,260,188)
(156,271,776,168,439,772,280,440)(158,243,778,672,438,240,274,664)
(159,775,784,448,436,268,272,160)(162,663,774,252,442,660,270,244)
(163,691,757,728,431,744,276,216)(164,215,779,700,421,716,263,748)
(169,712,543,734,584,199,639,680)(170,320,537,482,562,311,621,484)
(171,628,540,174,572,535,622,568)(173,488,534,314,565,479,618,316)
(176,180,544,538,566,563,619,624)(179,740,556,202,583,675,617,708)
(186,236,554,650,578,227,638,652)(190,656,550,230,582,647,634,232)
(191,684,533,706,571,731,640,204)(192,208,555,678,561,703,627,736)
(197,723,683,729,724,207,751,696)(198,331,677,477,702,319,733,500)
(201,499,674,309,705,487,730,332)(214,247,694,645,718,235,750,668)
(218,667,690,225,722,655,746,248)(219,695,673,701,711,739,752,220)
(226,330,649,494)(229,498,646,326)(242,246,666,662)(310,313,481,478),
( 1,578,692,549,473,497)( 2,326,679,297,470,777)( 3,382,677,521,467,
665)( 4,634,684,157,458,413)( 5,522,691,661,451,385)
( 6,718,683,269,457,357)( 7,298,694,773,450,329)( 8,130,686, 73,
472,217)( 9,354,678,717,459,273)( 10,410,676,633,460,161)
( 11,270,681,353,454,721)( 12,158,682,409,452,637)( 13,102,700,437,
471,245)( 14, 74,696,213,456,133)( 15,186,688,745,474, 49)
( 16,746,698, 45,463,189)( 17,466,693)( 18,690,689,465,469, 21)
( 19,662,675,381,453,525)( 20,550,697,493,449,581)( 22,774,674,325,
455,301)( 23,242,685,101,476,441)( 24,214,680,129,462, 77)
( 25,494,673,577,468,553)( 26, 46,687,185,464,749)( 27,606,699,605,
475,609)( 28,438,695,241,461,105)( 29,575,188,548,753,502)
( 30,323,175,296,750,782)( 31,379,173,520,747,670)( 32,631,180,156,
738,418)( 33,519,187,660,731,390)( 34,715,179,268,737,362)
( 35,295,190,772,730,334)( 36,127,182, 72,752,222)( 37,351,174,716,
739,278)( 38,407,172,632,740,166)( 39,267,177,352,734,726)
( 40,155,178,408,732,642)( 41, 99,196,436,751,250)( 42, 71,192,212,
736,138)( 43,183,184,744,754, 54)( 44,743,194)( 47,659,171,380,733,
530)( 48,547,193,492,729,586)( 50,771,170,324,735,306)
( 51,239,181,100,756,446)( 52,211,176,128,742, 82)( 53,491,169,576,
748,558)( 55,603,195,604,755,614)( 56,435,191,240,741,110)
( 57,584,216,540,137,490)( 58,332,203,288,134,770)( 59,388,201,512,
131,658)( 60,640,208,148,122,406)( 61,528,215,652,115,378)
( 62,724,207,260,121,350)( 63,304,218,764,114,322)( 64,136,210)
( 65,360,202,708,123,266)( 66,416,200,624,124,154)( 67,276,205,344,
118,714)( 68,164,206,400,116,630)( 69,108,224,428,135,238)
( 70, 80,220,204,120,126)( 75,668,199,372,117,518)( 76,556,221,484,
113,574)( 78,780,198,316,119,294)( 79,248,209, 92,140,434)
( 81,500,197,568,132,546)( 83,612,223,596,139,602)( 84,444,219,232,
125, 98)( 85,588,440,555,249,489)( 86,336,427,303,246,769)
( 87,392,425,527,243,657)( 88,644,432,163,234,405)( 89,532,439,667,
227,377)( 90,728,431,275,233,349)( 91,308,442,779,226,321)
( 93,364,426,723,235,265)( 94,420,424,639,236,153)( 95,280,429,359,
230,713)( 96,168,430,415,228,629)( 97,112,448,443,247,237)
(103,672,423,387,229,517)(104,560,445,499,225,573)(106,784,422,331,
231,293)(107,252,433)(109,504,421,583,244,545)(111,616,447,611,251,
601)(141,570,412,536,641,488)(142,318,399,284,638,768)
(143,374,397,508,635,656)(144,626,404)(145,514,411,648,619,376)
(146,710,403,256,625,348)(147,290,414,760,618,320)(149,346,398,704,
627,264)(150,402,396,620,628,152)(151,262,401,340,622,712)
(159,654,395,368,621,516)(160,542,417,480,617,572)(162,766,394,312,
623,292)(165,486,393,564,636,544)(167,598,419,592,643,600)
(253,569,356,538,725,487)(254,317,343,286,722,767)(255,373,341,510,
719,655)(257,513,355,650,703,375)(258,709,347)(259,289,358,762,702,
319)(261,345,342,706,711,263)(271,653,339,370,705,515)
(272,541,361,482,701,571)(274,765,338,314,707,291)(277,485,337,566,
720,543)(279,597,363,594,727,599)(281,582,776,534,333,483)
(282,330,763)(283,386,761,506,327,651)(285,526,775,646,311,371)
(287,302,778,758,310,315)(299,666,759,366,313,511)(300,554,781,478,
309,567)(305,498,757,562,328,539)(307,610,783,590,335,595)
(365,565,524,551,669,479)(367,369,509,523,663,647)(383,649,507)
(384,537,529,495,645,563)(389,481,505,579,664,535)(391,593,531,607,
671,591)(477,561,580,552,557,501)(496,533,585)(503,589,587,608,559,
613) ] ],
[ 9, 1625702400, 0, "4c",
[ [ 144, 1 ], [ 24, 1 ], [ 225, 1 ], [ 30, 1 ], [ 360, 1 ] ], 1,
"Alt(8)^2.2^2", [ "A", 8, 2 ],
[ ( 1,229,419,221,458,566, 68,298,633,446,159, 51,175,498)( 2,509,420,389,
472,706, 64,270,620,614,143,667,183,358)( 3,649,407,361,450,510, 84,
382,640,726,148,275,172,610)( 4,593,395,669,463,342, 58,522,644,390,
164,723,176,274)( 5,397,417,473,454, 62, 74,634,642,166,163,191,190,
22)( 6, 61,410,641,474,146, 79,186,638, 26,145,415,193,470)
( 7,481,393,249,475,202, 66,578,628,306,157,443,187, 50)
( 8,257,396,613,451,650, 71,354,618,530,168,387,192,722)
( 9, 89,403,781,468,734, 77,130,629,334,154,555,184,694)
( 10,565,404,305,465,426, 75, 46,623,502,141,247,195,218)
( 11,761,412,753,469,118, 69,326,630,558,156,695,177,106)
( 12,285,409,445,467, 34, 63,494,617,250,167,219,178,582)
( 13,313,406,557,464,678, 65,102,627,782,160,751,189,134)
( 14,537,408,697,457, 90, 67,774,636,754,161,135,181,330)
( 15,341,394,529,476,370, 80,718,624,278,144,611,171,666)
( 16,677,401,109,459,762, 76,746,637,138,153,331,182,554)
( 17,425,411, 53,455,482, 57,242,643,222,150,583,180,302)
( 18,621,418,165,471,174, 78)( 19, 33,399,501,449,230, 83,214,626,586,
152,303,185,442)( 20,733,413,137,461,314, 70,550,632,698,149,107,179,
778)( 21,117,405,333,462,538, 72,690,625,110,151,779,188,750)
( 23,173,414, 25,453,398, 81,466,622, 82,158,639,194,162)
( 24,705,400,277,452,594, 59,662,631,362,142,527,196,386)
( 27,201,402,585,460,286, 73,438,635, 54,147,499,169,246)
( 28,369,416,725,456,258, 60,606,619,670,155,359,170,526)
( 29,231,503,197,234,587,208,290,577,432,299, 45,427,495)
( 30,511,504,365,248,727,204,262,564,600,283,661,435,355)
( 31,651,491,337,226,531,224,374,584,712,288,269,424,607)
( 32,595,479,645,239,363,198,514,588,376,304,717,428,271)
( 35,483,477,225,251,223,206,570,572,292,297,437,439, 47)
( 36,259,480,589,227,671,211,346,562,516,308,381,444,719)
( 37, 91,487,757,244,755,217,122,573,320,294,549,436,691)
( 38,567,488,281,241,447,215)( 39,763,496,729,245,139,209,318,574,544,
296,689,429,103)( 40,287,493,421,243, 55,203,486,561,236,307,213,430,
579)( 41,315,490,533,240,699,205, 94,571,768,300,745,441,131)
( 42,539,492,673,233,111,207,766,580,740,301,129,433,327)
( 43,343,478,505,252,391,220,710,568,264,284,605,423,663)
( 44,679,485, 85,235,783,216,738,581,124,293,325,434,551)
( 48,735,497,113,237,335,210,542,576,684,289,101,431,775)
( 49,119,489,309,238,559,212,682,569, 96,291,773,440,747)
( 52,707,484,253,228,615,199,654,575,348,282,521,448,383)
( 56,371,500,701,232,279,200,598,563,656,295,353,422,523)
( 86,515,784,384,752,721,120,265,312,602,535,660,687,345)
( 87,655,771,356,730,525,140,377,332,714,540,268,676,597)
( 88,599,759,664,743,357,114,517,336,378,556,716,680,261)
( 92,263,760,608,731,665,127,349,310,518,560,380,696,709)
( 93, 95,767,776,748,749,133,125,321,322,546,548,688,681)
( 97,319,770,552,744,693,121)( 98,543,772,692,737,105,123,769,328,742,
553,128,685,317)( 99,347,758,524,756,385,136,713,316,266,536,604,675,
653)(100,683,765,104,739,777,132,741,329,126,545,324,686,541)
(108,711,764,272,732,609,115,657,323,350,534,520,700,373)
(112,375,780,720,736,273,116,601,311,658,547,352,674,513)
(254,508,616,367,668,715,344)(255,648,603,339,646,519,364,366,528,728,
372,276,704,596)(256,592,591,647,659,351,338,506,532,392,388,724,708,
260)(267,340,590,507,672,379,360,702,512,280,368,612,703,652),
( 1,370,193,605,524,435, 85,376,641,610,720,431,673,385,137,592,664,
427,449,390,333,597,272,438,225,366,221,604,356,430)( 2,202,184,353,
514, 15, 90,180,633,526,715, 95,684,637,134,704,655,679,469,138,312,
653,259,466,250,310,205,268,354,234)( 3,398,191,745,528, 43, 89,488,
629,162,703,403,695,749,136, 32,649,483,461,166,311,401,275,746,248,
30,201,492,349,150)( 4,650,175,465,530,323, 93,264,634,246,702,207,
688,357,122)( 5,482,181,157,507,407,107,740,640, 50,705,487,685,161,
115,396,667,735,472, 54,313,485,265,158,227,394,219,744,360, 38)
( 6,174,185,521,519, 99, 96,628,638,722,711,683,693,133,116,648,651,
455,474,334,317,261,270,242,226,198,212,352,346, 10)( 7,454,194,325,
513,267,102,236,618,218,716,347,682, 21,118,172,661,511,463,110,320,
625,274,718,235,674,217,128,340,654)( 8,762,182,577,523,547,111,292,
644, 78,708,767,686,581,131,536,671,287,476, 82,316,765,266,578,243,
534,223,296,364, 66)( 9,258,186,241,506,211,100,348,626, 22,706,179,
689,525,127, 88,656,623,470,726,319,681,273,130,228,646,203,464,362,
318)( 11,678,189,129,508,659, 91,460,642,330,709,263,690,245,114,200,
660,343,458, 26,314,177,269,522,239, 86,208,632,358,710)
( 12,622,190,717,515,687,105,124,620,666,707,459,698,329,121,256,662,
231,450,222,324,345,262, 18,230,170,213,520,351, 94)( 13,146,171,409,
527,743,108, 40,621,498,713,151,675,413,135,732,668, 35,453,502,321,
149,255,410,247,730,220, 44,341,486)( 14,566,187,549,531,295,112, 68,
624,778,714,571,691,553,139,284,672, 63,456,782,322,569,271,550,251,
282,224, 72,344,766)( 16,342,178, 17,510,183,101,516,631,106,712,627,
694,721,123,676,665,119,452,670,315,457,278,326,233,254,214,240,338,
206)( 19,538,195,297,532, 71, 92,768,630,582,719,543,699,301,140, 60,
652,763,462,586,327,541,279,298,252, 58,204,772,350,570)
( 20,426,169,381,529,603,104,432,617,386,725,599,692,441,113,368,669,
595,468,446,309,373,277,606,244,422,197,380,361,598)( 23,734,192, 45,
509,491, 97,152,619,414,723,739,696, 49,117,480,657,147,451,418,331,
737,276, 46,229,478,209,156,339,402)( 24, 34,173,493,517,155, 87,404,
639,750,724, 39,677,497,125,144,647,399,471,754,332, 37,257,494,237,
142,199,408,359,738)( 25,594,188,437,505,379,109,600,636,442,701,375,
697,609,132,424,645,371,473,614,328,429,253,382,249,590,216,436,337,
374)( 27,286,196, 73,512,771, 98,572,635,554,727,291,700, 77,120,760,
658,567,467,558,335,289,280, 74,232,758,210,576,355,542)
( 28, 62,176,773,518,575,103,544,643,302,728, 67,680,777,126,564,663,
539,475,306,336, 65,260,774,238,562,215,548,363,290)( 29,369,501,601,
160,423,393,387,753,612, 48,425,477,377,165,591,412,443,729,388, 53,
593,496,433,141,367,417,611,748,444)( 31,397,499,741,164)
( 33,481,489,153,143,395,415,751,752, 52)( 36,761,490,573,159,535,419,
303,756, 80)( 41,145,479,405,163,731,416, 51,733,500)
( 42,565,495,545,167,283,420, 79,736,780)( 47,537,503,293,168, 59,400,
779,742,584)( 55,285,504, 69,148,759,406,583,747,556)
( 56, 61,484,769,154,563,411,555,755,304)( 57,372,781,602,580,439,533,
391,305,616, 76,428,757,378,585,607,552,447,281,392, 81,596,776,434,
561,383,557,615,300,448)( 64,764,770,574,579,551,559,307,308, 84)
( 70,568,775,546,587,299,560, 83,288,784)( 75,540,783,294,588)
(365,389,613,608,440,421)(384,445,589) ] ],
[ 10, 1625702400, 0, "4c",
[ [ 144, 1 ], [ 24, 1 ], [ 225, 1 ], [ 30, 1 ], [ 360, 1 ] ], 1,
"Alt(8)^2.4", [ "A", 8, 2 ],
[ ( 1,468,435,333,617,452,575,310)( 2, 20,440,445,641,620,564,562)
( 3,552,432,109,627,172,576,758)( 4,580,422, 25,636,424,585,618)
( 5,412,425,417,621,396,565,394)( 6,692,427,221,625,480,568, 30)
( 7,216,429,501,624, 32,566,674)( 8, 48,426,697,623,200,569,478)
( 9,496,428, 53,622,676,567,198)( 10,132,437,361,640,144,581,590)
( 11,188,436,781,619,536,572, 86)( 12,104,431,193,632,760,563,534)
( 13,524,433,529,629,508,573,506)( 14, 76,447,277,630, 60,587,254)
( 15,328,421,473,631,312,561,450)( 16,776,423,557,628, 88,571,170)
( 17,356,444,165,637,592,570,114)( 18,384,442,753,644,704,586,226)
( 19,300,443,669,635,284,583,646)( 21,608,430,137,633,340,584,142)
( 22,748,448,725,642,228,578,366)( 23,664,439,305,639,648,579,282)
( 24,160,441,613,626,116,577,338)( 26,244,438,389,638,732,588,702)
( 27,272,434, 81,643,256,574, 58)( 28,720,446,249,634,368,582,730)
( 29,454,687,315,197,457,491,316)( 31,538,684, 91,207,177,492,764)
( 33,398,677,399,201,401,481,400)( 34,678,679,203,205,485,484, 36)
( 35,202,681,483,204, 37,482,680)( 38,118,689,343,220,149,497,596)
( 39,174,688,763,199,541,488, 92)( 40, 90,683,175,212,765,479,540)
( 41,510,685,511,209,513,489,512)( 42, 62,699,259,210, 65,503,260)
( 43,314,673,455,211,317,477,456)( 44,762,675,539,208, 93,487,176)
( 45,342,696,147,217,597,486,120)( 46,370,694,735,224,709,502,232)
( 47,286,695,651,215,289,499,652)( 49,594,682,119,213,345,500,148)
( 50,734,700,707,222,233,494,372)( 51,650,691,287,219,653,495,288)
( 52,146,693,595,206,121,493,344)( 54,230,690,371,218,737,504,708)
( 55,258,686, 63,223,261,490, 64)( 56,706,698,231,214,373,498,736)
( 57,475,267,322)( 59,559,264, 98, 67,195,268,770)( 61,419,257,406)
( 66,139,269,350, 80,167,273,602)( 68,111,263,182, 72,783,255,546)
( 69,531,265,518)( 70, 83,279,266)( 71,335,253,462)( 73,363,276,154,
77,615,262,126)( 74,391,274,742, 84,727,278,238)( 75,307,275,658)
( 78,755,280,714, 82,251,270,378)( 79,671,271,294)( 85,459,183,324,
757,451,547,320)( 87,543,180,100,767,171,548,768)( 89,403,173,408,
761,395,537,404)( 94,123,185,352,780,143,553,600)( 95,179,184,772,
759,535,544, 96)( 97,515,181,520,769,507,545,516)( 99,319,169,464,
771,311,533,460)(101,347,192,156,777,591,542,124)(102,375,190,744,
784,703,558,236)(103,291,191,660,775,283,555,656)(105,599,178,128,
773,339,556,152)(106,739,196,716,782,227,550,376)(107,655,187,296,
779,647,551,292)(108,151,189,604,766,115,549,348)(110,235,186,380,
778,731,560,712)(112,711,194,240,774,367,554,740)(113,465,351,332,
141,469,603,318)(117,409,341,416,145,413,593,402)(122,129,353,360,
164,161,609,598)(125,521,349,528,153,525,601,514)(127,325,337,472,
155,329,589,458)(130,381,358,752,168,721,614,234)(131,297,359,668,
159,301,611,654)(133,605,346,136,157,357,612,150)(134,745,364,724,
166,245,606,374)(135,661,355,304,163,665,607,290)(138,241,354,388,
162,749,616,710)(140,717,362,248,158,385,610,738)(225,466,379,330,
729,476,715,334)(229,410,369,414,733,420,705,418)(237,522,377,526,
741,532,713,530)(239,326,365,470,743,336,701,474)(242,382,386,750,
756,728,726,250)(243,298,387,666,747,308,723,670)(246,746,392,722,
754,252,718,390)(247,662,383,302,751,672,719,306)(281,471,659,327)
(285,415,649,411)(293,527,657,523)(295,331,645,467)(299,303,667,663)
(309,449,463,323)(313,393,453,407)(321,505,461,519)(405,509),
( 1,435, 76,233,193,138,449,427,160,228,221,118,673,430,748,240,333,
114, 85,431,300,246,641,124)( 2, 99, 67,289,190,642,460, 7,155, 60,
205,174,698,458,735,156,312,198, 90,683,290,750,632,320)
( 3,407, 75,485,182,586,456, 35,143,396,215,482,686,570,736, 44,311,
394,103,487,294,582,624, 40)( 4,211, 62,681,178,754,464,315,142, 88,
207,286,694,626,740, 16,323, 58, 93,179,306,470,623,152)
( 5,547, 80,765,173,558,472,763,145,536,220,762,677,542,752,772,313,
534,108,767,285,554,640,768)( 6,687, 66,737,184,334,450, 91,151,284,
218,622,684, 10,743, 72,317,170,110,459,287,162,620,208)
( 8, 43, 59,401,187,502,462,567,148, 32,199,398,691,486,742,576,316,
30, 87,403,299,498,630,572)( 9,183, 82,457,175,166,452,203,146,676,
206,734,688,318,730,100,319,282,106,627,292, 22,631, 68)
( 11,295, 78,625,180, 26,463, 63,149,172,222,454,679,150,732,212,314,
674, 94,739,296,330,618, 96)( 12, 15, 71, 65,177,194,474,455,147,144,
200,202,678,682,738,744,324,310, 86, 95,291,302,638,628)
( 13,351, 79,709,196,670,475,259,153,340,219,706,700,654,755,268,321,
338,107,711,308,666,643,264)( 14,575, 64, 37,171,418,467,483,154,564,
204, 34,675,402,747,492,322,562, 92, 39,283,414,635,488)
( 17,379, 77,597,186,530,465,371,161,592,214,510,689,374,749,604,326,
506,101,375,301,610,634,516)( 18,519, 73,373,189,614,466,511,157,368,
217,594,690,514,745,380,329,590,102,515,297,386,637,600)
( 19,491, 70,569,176, 54,451,399,159,480,210,566,680, 38,731,408,327,
478, 98,571,288, 50,619,404)( 20,239, 81,121,169,446,468,231,165,116,
197,426,692,234,753,128,309,422,104,235,305,134,617,432)
( 21,603, 74,513,185,390,469,595,158,508,213,370,693,598,746,520,325,
366,105,599,298,526,633,376)( 23,715, 84,653,195,278,461,343,163,704,
224,650,699,262,741,352,331,702,112,655,307,274,629,348)
( 24,771, 61,541,192,782,453,539,164,760,201,538,696,766,733,548,332,
758, 89,543,304,778,621,544)( 25,127, 57,429,188,250,473,119,141,424,
216,230,697,122,729,436,328,226,109,123,281,442,636,236)
( 27,267, 69,345,191,726,476,651,167,256,209,342,695,710,756,660,335,
254, 97,347,303,722,644,656)( 28,659, 83,261,181,362,471,707,168,648,
223,258,685,346,751,716,336,646,111,263,293,358,639,712)
( 29,423,412,243,501,126,561,428, 48,227,417,131,477,434,580,232, 53,
115,393,439,496,238,585,120)( 31,395,411,495,490,574,568, 36)
( 33,535,416,775,481,546,584,764)( 41,339,415,719,504,658,587,260)
( 42,563,400, 47,479,406,579,484)( 45,367,413,607,494,518,577,372, 49,
591,410,523,493,378,581,596, 46,507,409,383,497,602,578,512)
( 51,703,420,663,503,266,573,344)( 52,759,397,551,500,770,565,540)
( 55,255,405,355,499,714,588,652)( 56,647,419,271,489,350,583,708)
(113,421,440,244,249,137)(117,533,444,776,229,557,136,757,425,552,248,
781)(125,337,443,720,252,669,139,253,433,356,247,725,140,645,447,272,
237,361,135,701,448,664,251,277)(129,365,441,608,242,529)
(130,505,437,384,245,613)(132,225,445)(133,589,438,524,241,389)
(257,545,360,779,705,560,668,783)(265,349,359,723,728,672,671,279)
(269,377,357,611,718,532,661,391,273,601,354,527,717,392,665,615,270,
517,353,387,721,616,662,531)(275,713,364,667,727,280,657,363)
(276,769,341,555,724,784,649,559)(369,553,612,774,509,549,388,777,593,
550,528,773)(381,385,609,606,522,521)(382,525,605)(537,556,780,761)
] ],
[ 11, 3251404800, 0, "4c",
[ [ 144, 1 ], [ 24, 1 ], [ 225, 1 ], [ 30, 1 ], [ 360, 1 ] ], 1,
"Sym(8) wreath Sym(2)", [ "A", 8, 2 ],
[ ( 1, 72,207,363,478,248, 25,660,202,755,491,612)( 2,240,221,671,482,752,
15,604,197, 83,487,360)( 3,464,200,111,485,780)( 4,100,205,783,479,
472)( 5,632,224,699,498, 52)( 6,744,211,615,477, 80, 11,352,198,
251,501,668)( 7,380,217,307,486,724, 12,128,214,279,502,164)
( 8,436,213,419,495,584)( 9,772,199,475,480,108)( 10,716,208,139,
494,276, 26,156,203,391,497,304)( 13,548,210,335,499,192)
( 14,324,219,195,489,556)( 16,212,223,503,500, 24)( 17,408,215,587,
484,444)( 18,268,222,167,483,388, 21,296,206,727,488,136)
( 19,576,204,447,493,416)( 20,520,216,531,496,528)( 22, 44,201,643,
504,696)( 23,184,209,559,490,332)( 27,492,220)( 28,688,218, 55,481,
640)( 29, 61,627,364,674,246, 53,649,622,756,687,610)
( 30,229,641,672,678,750, 43,593,617, 84,683,358)( 31,453,620,112,681,
778)( 32, 89,625,784,675,470)( 33,621,644,700,694, 50)
( 34,733,631,616,673, 78, 39,341,618,252,697,666)( 35,369,637,308,682,
722, 40,117,634,280,698,162)( 36,425,633,420,691,582)
( 37,761,619,476,676,106)( 38,705,628,140,690,274, 54,145,623,392,693,
302)( 41,537,630,336,695,190)( 42,313,639,196,685,554)
( 45,397,635,588,680,442)( 46,257,642,168,679,386, 49,285,626,728,684,
134)( 47,565,624,448,689,414)( 48,509,636,532,692,526)
( 51,173,629,560,686,330)( 56,677,638)( 57, 67,347,338,226,249,669,
650,734,743,603,589)( 58,235,361,646,230,753,659,594,729, 71,599,337)
( 59,459,340, 86,233,781,647,454,732, 99,597,757)( 60, 95,345,758,227,
473,648, 90,737,771,591,449)( 62,739,351,590,225, 81,655,342,730,239,
613,645)( 63,375,357,282,234,725,656,118,746,267,614,141)
( 64,431,353,394,243,585,652,426,745,407,607,561)( 65,767,339,450,228,
109,653,762,731,463,592, 85)( 66,711,348,114,242,277,670,146,735,379,
609,281)( 68,123,354,254,250,165,651,370,749,295,598,701)
( 69,543,350,310,247,193,657,538,742,323,611,169)( 70,319,359,170,237,
557,658,314,751,183,601,533)( 73,403,355,562,232,445,661,398,747,575,
596,421)( 74,263,362,142,231,389,665,286,738,715,600,113)
( 75,571,344,422,241,417,663,566,736,435,605,393)( 76,515,356,506,244,
529,664,510,748,519,608,505)( 77,291,346,702,236,137,662,258,754,155,
595,365)( 79,179,349,534,238,333,667,174,741,547,602,309)
( 82,151,343,366,245,305,654,706,740,127,606,253)( 87,457,760)
( 88, 93,765,759,451,452)( 91,373,777,283,458,704, 96,121,774,255,474,
144)( 92,429,773,395,467,564)( 94,709,768,115,466,256,110,149,763,
367,469,284)( 97,541,770,311,471,172)( 98,317,779,171,461,536)
(101,401,775,563,456,424)(102,261,782,143,455,368,105,289,766,703,460,
116)(103,569,764,423,465,396)(104,513,776,507,468,508)
(107,177,769,535,462,312)(119,382,273,306,150,707,376,133,298,262,726,
152)(120,438,269,418,159,567,372,441,297,402,719,572)
(122,718,264,138,158,259,390,161,287,374,721,292)(124,130,270,278,166,
147,371,385,301,290,710,712)(125,550,266,334,163,175,377,553,294,318,
723,180)(126,326,275,194,153,539,378,329,303,178,713,544)
(129,410,271,586,148,427,381,413,299,570,708,432)(131,578,260,446,157,
399,383,581,288,430,717,404)(132,522,272,530,160,511,384,525,300,514,
720,516)(135,186,265,558,154,315,387,189,293,542,714,320)
(176,433,549,406,327,583)(181,545,546,322,331,191)(182,321,555)
(185,405,551,574,316,443)(187,573,540,434,325,415)(188,517,552,518,
328,527)(400,439,577)(409,411,579,568,428,437)(412,523,580,512,440,
521), ( 1,134, 62,179,693,381,516,621,478,336,726,210,776,435)
( 2,330, 82,207,692,437,505,117,482,196,721,378,768,631)
( 3,554, 69,655,679,465,508,145,495,420,718,602,772,743)
( 4,162, 75,403,690,605,520,733,479,560,713,658,763,463)
( 5,498, 84,711,686,773,519)( 6,190, 77,375,684,633,506,313,502,224,
720,434,757,127)( 7,470, 60,151,691,409,522,593,492,756,703,546,769,
659)( 8,582, 80, 39,682,101,529,229,485,308,727,266,779,351)
( 9,302, 83,263,695,353,512,565,500, 56,710, 98,781,239)
( 10,106, 81,235,681,297,531,257,499,364,708,574,780, 43)
( 11,694, 73,515,677,493,532,705,490,784,715, 14,778, 71)
( 12,638, 58,319,698,213,524,425,477,140,706,182,777,379)
( 13,666, 63,459,676,157,523,397,494,616,716,742,759,547)
( 15, 22, 78, 67,683,689,521,509,481,504,728,714,770,771)
( 16,750, 59,543,685,661,511,453,480,168,719,406,774,603)
( 17,526, 61,487,700,717,518,761,491, 28,722, 70,767,687)
( 18,610, 72,739,675,549,517,649,483,476,704,154,775,407)
( 19,414, 74,599,688,745,507,537,489,672,707,462,760,155)
( 20,442, 57,123,678,185,525,369,488,644,702,322,782,211)
( 21,386, 68,627,674,325,530,201,496,448,701,126,762,183)
( 23,358, 64,571,696, 45,514, 89,501,252,709,294,783,267)
( 24, 50, 66, 95,697,241,513,285,503,280,723,350,764,575)
( 25,246, 65,291,699,269,527,341,484,588,724, 42,766, 99)
( 26,218, 76,431,673,129,510,173,497,392,712,630,758,323)
( 27,274, 79,347,680,577,528, 33,486,112,725,238,765,295)
( 29,122, 90,193,245,373,292,643,254,331,362,204,580,444)
( 30,318,110,221,244,429,281,139,258,191,357,372,572,640)
( 31,542, 97,669,231,457,284,167,271,415,354,596,576,752)
( 32,150,103,417,242,597,296,755,255,555,349,652,567,472)
( 34,178,105,389,236,625,282,335,278,219,356,428,561,136)
( 35,458, 88,165,243,401,298,615,268,751,339,540,573,668)
( 36,570,108, 53,234, 93,305,251,261,303,363,260,583,360)
( 37,290,111,277,247,345,288,587,276, 51,346, 92,585,248)
( 38, 94,109,249,233,289,307,279,275,359,344,568,584, 52)
( 40,626, 86,333,250,205,300,447,253,135,342,176,581,388)
( 41,654, 91,473,228,149,299,419,270,611,352,736,563,556)
( 44,738, 87,557,237,653,287,475,256,163,355,400,578,612)
( 46,598,100,753,227,541,293,671,259,471,340,148,579,416)
( 47,402,102,613,240,737,283,559,265,667,343,456,564,164)
( 48,430, 85,137,230,177,301,391,264,639,338,316,586,220)
( 49,374, 96,641,226,317,306,223,272,443,337,120,566,192)
( 54,206,104,445,225,121,286,195,273,387,348,624,562,332)
( 55,262,107,361,232,569,304)(113,118,174,189,385,376,628,618,310,334,
222,216,440,421)(114,314,194,217,384,432,617)(115,538,181,665,371,
460,620,142,327,418,214,608,436,729)(116,146,187,413,382,600,632,730,
311,558,209,664,427,449)(119,454,172,161,383,404,634,590,324,754,199,
552,433,645)(124,622,170,329,390,208,636,422,309,138,202,188,441,365)
(125,650,175,469,368,152,635,394,326,614,212,748,423,533)
(128,734,171,553,377,656,623,450,312,166,215,412,438,589)
(130,594,184,749,367,544,629,646,315,474,200,160,439,393)
(131,398,186,609,380,740,619,534,321,670,203,468,424,141)
(132,426,169,133,370,180,637,366,320,642,198,328,446,197)
(143,551,405,662,595,464,732)(144,159,411,410,606,604,744,731,535,545,
657,651,455,452)(147,467,396,158,607,408,746,591,548,741,647,539,461,
648)(153,663,399,466,592,156,747,395,550,601,660,735,451,536) ] ],
[ 12, 73156608, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSU(3, 3) wreath 2",
[ "2A", [ 2, 3 ], 2 ],
[ ( 1,202,155,460,537,770,507,442, 2,207,165,461,533,762,519,432, 5,210,
143,470,534,767,529,433)( 3,218,142,459,557,769,505,426, 15,208,145,
462,535,778,506,431, 25,209,141,454,547,768,509,434)( 4,216,148,467,
539,783,521,444, 10,214,156,457,536,776,512,439, 7,223,157,472,542,
774,520,429)( 6,211,152,453,546,759,526,422, 11,221,153,449,538,771,
516,425, 14,199,162,450,543,781,517,421)( 8,215,147,475,549,780,514,
438, 16,205,144,468,540,775,511,447, 17,220,150,466,548,765,508,440)
( 9,200,160,456,551,763,531,437, 24,206,158,464,541,760,524,428, 19,
203,167,465,556,766,522,436)( 12,201,154,451,554,758,515,445, 13,197,
146,463,544,761,518,423, 22,198,151,473,545,757,510,435)
( 18,212,149,452,552,764,523,427, 27,213,164,458,550,772,513,424, 20,
204,159,455,559,773,528,430)( 21,219,166,469,555,782,525,443, 26,217,
163,474,553,779,530,441, 23,222,161,471,558,777,527,446)
( 28,224,168,476,560,784,532,448)( 29,594,743,236, 61,378, 87,190, 30,
599,753,237, 57,370, 99,180, 33,602,731,246, 58,375,109,181)
( 31,610,730,235, 81,377, 85,174, 43,600,733,238, 59,386, 86,179, 53,
601,729,230, 71,376, 89,182)( 32,608,736,243, 63,391,101,192, 38,606,
744,233, 60,384, 92,187, 35,615,745,248, 66,382,100,177)
( 34,603,740,229, 70,367,106,170, 39,613,741,225, 62,379, 96,173, 42,
591,750,226, 67,389, 97,169)( 36,607,735,251, 73,388, 94,186, 44,597,
732,244, 64,383, 91,195, 45,612,738,242, 72,373, 88,188)
( 37,592,748,232, 75,371,111,185, 52,598,746,240, 65,368,104,176, 47,
595,755,241, 80,374,102,184)( 40,593,742,227, 78,366, 95,193, 41,589,
734,239, 68,369, 98,171, 50,590,739,249, 69,365, 90,183)
( 46,604,737,228, 76,372,103,175, 55,605,752,234, 74,380, 93,172, 48,
596,747,231, 83,381,108,178)( 49,611,754,245, 79,390,105,191, 54,609,
751,250, 77,387,110,189, 51,614,749,247, 82,385,107,194)
( 56,616,756,252, 84,392,112,196)(113,706,351,404,621,294,479,666,114,
711,361,405,617,286,491,656,117,714,339,414,618,291,501,657)
(115,722,338,403,641,293,477,650,127,712,341,406,619,302,478,655,137,
713,337,398,631,292,481,658)(116,720,344,411,623,307,493,668,122,718,
352,401,620,300,484,663,119,727,353,416,626,298,492,653)
(118,715,348,397,630,283,498,646,123,725,349,393,622,295,488,649,126,
703,358,394,627,305,489,645)(120,719,343,419,633,304,486,662,128,709,
340,412,624,299,483,671,129,724,346,410,632,289,480,664)
(121,704,356,400,635,287,503,661,136,710,354,408,625,284,496,652,131,
707,363,409,640,290,494,660)(124,705,350,395,638,282,487,669,125,701,
342,407,628,285,490,647,134,702,347,417,629,281,482,659)
(130,716,345,396,636,288,495,651,139,717,360,402,634,296,485,648,132,
708,355,399,643,297,500,654)(133,723,362,413,639,306,497,667,138,721,
359,418,637,303,502,665,135,726,357,415,642,301,499,670)
(140,728,364,420,644,308,504,672)(253,566,267,572,257,574,255,582,254,
571,277,573)(256,580,260,579,259,587,269,584,262,578,268,569)
(258,575,264,565,266,563,274,562,263,585,265,561)(261,564,272,568,271,
567,279,577,276,570,270,576)(273,583,278,581,275,586)(280,588)
(309,314,323,320,313,322,311,330,310,319,333,321)(312,328,316,327,315,
335,325,332,318,326,324,317)(329,331,334)(673,678,687,684,677,686,
675,694,674,683,697,685)(676,692,680,691,679,699,689,696,682,690,688,
681)(693,695,698), ( 1,506,579,647,428,319,127,598,368,401,208, 73,
713,746,307,490)( 2,562,563,423,431,123,122,374,373,205,213,717,718,
298,294, 14)( 3,422,571,115,430,375,121,206,381,709,214,297,714, 18,
282,574)( 4,394,572, 59,433,739,139,486,365,513,215,661,708,326,295,
602)( 5,170,565,171,425,179,117,178,369,177,201,185,705,186,285,182)
( 6,758,582, 87,426,767,134, 94,370,765,218,101,706,774,302, 98)
( 7,338,583,619,444,683,140, 38,380,541,217,465,720,242,306,154)
( 8,310,575,591,424,403,124, 66,377,737,223,493,701,522,299,658)
( 9,198,577,703,438,291,126, 10,366,569,199,437,711,130,290,378)
( 11,114,570,367,429,207,129,710,382,289,210, 17,702,578,283,434)
( 12, 58,573,731,447,487,113,514,383,653,204,325,715,606,284,406)
( 13,730,587,479,421,515,131,654,372,317,211,605,704,410,292, 70)
( 15,590,564,395,432, 67,125,738,391,485,197,521,719,662,288,322)
( 16,534,581,451,440,235,138,150,371,345,219,633,724,690,308, 42)
( 19,646,568,311,435,599,116,402,376, 65,209,745,727,494,281,518)
( 20,226,586,143,427,347,135,626,388,681,224, 45,716,550,301,462)
( 21,450,580,227,446,151,119,346,387,625,220,689,728, 46,296,546)
( 22, 86,566,759,442, 95,118,766,386, 93,202,773,722,102,286,770)
( 23,618,584,675,448, 39,128,542,385,457,216,241,726,158,287,350)
( 24,674,588, 31,436,543,133,458,384,233,222,157,707,354,303,630)
( 25,254,585,255,445,263,137,262,389,261,221,269,725,270,305,266)
( 26,142,567,339,443,627,136,682,392, 37,212,549,721,466,300,238)
( 27,478,561,507,439,655,120,318,379,597,200,409,712, 74,293,742)
( 28, 30,576,535,441,459,132,234,390,149,203,353,723,634,304,686)
( 29,520,551,665,456,328,239,614,144,399,348, 79,629,752,699,504)
( 32,408,544, 77,461,748,251,502,141,511,355,667,624,332,687,616)
( 33,184,537,189,453,188,229,194,145,175,341,191,621,192,677,196)
( 34,772,554,105,454,776,246,110,146,763,358,107,622,780,694,112)
( 35,352,555,637,472,692,252, 54,156,539,357,471,636,248,698,168)
( 36,324,547,609,452,412,236, 82,153,735,363,499,617,528,691,672)
( 40, 72,545,749,475,496,225,530,159,651,344,331,631,612,676,420)
( 41,744,559,497,449,524,243,670,148,315,351,611,620,416,684, 84)
( 43,604,536,413,460, 76,237,754,167,483,337,527,635,668,680,336)
( 44,548,553,469,468,244,250,166,147,343,359,639,640,696,700, 56)
( 47,660,540,329,463,608,228,418,152, 63,349,751,643,500,673,532)
( 48,240,558,161,455,356,247,642,164,679,364, 51,632,556,693,476)
( 49,464,552,245,474,160,231,362,163,623,360,695,644, 52,688,560)
( 50,100,538,777,470,104,230,782,162, 91,342,779,638,108,678,784)
( 53,268,557,273,473,272,249,278,165,259,361,275,641,276,697,280)
( 55,492,533,525,467,664,232,334,155,595,340,415,628, 80,685,756)
( 57,517,747,671,484,309,519,607,648,400,320, 71,601,732,419,488)
( 60,405,740, 83,489,729,531,495,645,512,327,659,596,312,407,600)
( 61,181,733,195,481,169,509,187,649,176,313,183,593,172,397,180)
( 62,769,750,111,482,757,526,103,650,764,330, 99,594,760,414, 96)
( 64,321,743,615,480,393,516, 75,657,736,335,491,589,508,411,656)
( 68, 69,741,755,503,477,505,523,663,652,316,323,603,592,396,404)
( 78, 97,734,783,498, 85,510,775,666, 92,314,771,610, 88,398,768)
( 81,265,753,279,501,253,529,271,669,260,333,267,613,256,417,264)
( 89,174,761,190)( 90,762,778,106)(109,258,781,274)(193,257) ] ],
[ 13, 146313216, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSU(3, 3)^2.2^2",
[ "2A", [ 2, 3 ], 2 ],
[ ( 1,227,190,491,445,534,517, 63,355,264,605,331,408,108)( 2,507,175,351,
432,590,527,399,360, 12,591,191,407,444)( 3,171,183,435,422,506,511,
343,348,600,611,415,416, 24)( 4,563,176,155,446,702,531, 35,342,740,
608,219,403,388)( 5,759,177,631,430,450,522,679,364,656,602,135,413,
304)( 6,731,188,211,431,366,508,567,344,152,614,723,419, 52)
( 7,339,180,603,443,394,528)( 8,143,194,715,447, 30,510,735,356,208,
599,387,396,584)( 9,619,178,463,438,674,532,651,350,124,609,303,397,
780)( 10,451,186,687,448,646,518,119,357,292,593,779,401,640)
( 11,367,172,575,428,142,530,707,363, 40,594,751,412,220)
( 13, 59,187,267,437,310,520, 91,337,236,610,499,417,556)
( 14,115,189,295,425,758,513,623,346,460,606,695,420,668)
( 15,423,170,519,427,338,516,595,359,404,612, 23,395,192)
( 16, 87,169,239,442,478,529,539,349, 68,607,275,409,332)
( 17,311,184, 99,421,226,526,483,361,544,601, 79,411,276)
( 18,675,196,659,434,114,525,287,341,768,597,639,402,472)
( 19,255,185,323,436, 86,505,231,358,488,613,555,405, 80)
( 20,199,179,379,424,562,512,147,362,712,615, 51,398,752)
( 21,283,173,771,429,618,514,455,354,684,616,667,406,136)
( 22,479,193,547,433, 58,523,259,353,320,604,107,393,248)
( 25,535,181, 71,439,254,521,315,352, 96,589,247,414,500)
( 26,703,195, 43,426,730,524,203,347,376,592,583,400,164)
( 27, 31,174,743,440,198,515,371,340,572,596,163,418,724)
( 28,647,182,127,441,282,509,763,345,628,598,471,410,696)
( 29,230,750,496,221,543,377, 60,579,260,157,334,716,111)
( 32,566,736,160,222,711,391)( 33,762,737,636,206,459,382,676,588,652,
154,138,721,307)( 34,734,748,216,207,375,368,564,568,148,166,726,727,
55)( 36,146,754,720,223, 39,370,732,580,204,151,390,704,587)
( 37,622,738,468,214,683,392,648,574,120,161,306,705,783)
( 38,454,746,692,224,655,378,116,581,288,145,782,709,643)
( 41, 62,747,272,213,319,380, 88,561,232,162,502,725,559)
( 42,118,749,300,201,767,373,620,570,456,158,698,728,671)
( 44, 90,729,244,218,487,389,536,573, 64,159,278,717,335)
( 45,314,744,104,197,235,386,480,585,540,153, 82,719,279)
( 46,678,756,664,210,123,385,284,565,764,149,642,710,475)
( 47,258,745,328,212, 95,365,228,582,484,165,558,713, 83)
( 48,202,739,384,200,571,372,144,586,708,167, 54,706,755)
( 49,286,733,776,205,627,374,452,578,680,168,670,714,139)
( 50,482,753,552,209, 67,383,256,577,316,156,110,701,251)
( 53,538,741, 76,215,263,381,312,576, 92,141,250,722,503)
( 56,650,742,132,217,291,369,760,569,624,150,474,718,699)
( 57,243,274,493,333,548, 97)( 61,775,261,633,318,464,102,673,252,666,
490,137,553,293)( 65,635,262,465,326,688,112,645,238,134,497,305,537,
769)( 66,467,270,689,336,660, 98,113,245,302,481,781,541,629)
( 69, 75,271,269,325,324,100, 85,225,246,498,501,557,545)
( 70,131,273,297,313,772, 93,617,234,470,494,697,560,657)
( 72,103,253,241,330,492,109,533,237, 78,495,277,549,321)
( 73,327,268,101,309,240,106,477,249,554,489, 81,551,265)
( 74,691,280,661,322,128,105,281,229,778,485,641,542,461)
( 77,299,257,773,317,632, 94,449,242,694,504,669,546,125)
( 84,663,266,129,329,296, 89,757,233,638,486,473,550,685)
(117,777,289,621,766,457,634,682,476,662,686,140,665,294)
(121,637,290,453,774,681,644,654,462,130,693,308,649,770)
(122,469,298,677,784,653,630)(126,133,301,285,761,765,625,626,458,466,
690,700,672,658), ( 1,394,317,280,507,439,356,380,152,483,769,465,
543,581,613, 64)( 2,310,336,532,523,355,352,156,147,763,773,549,553,
609,596, 8)( 3,422,328,392,516,495,349,464,151,567,781, 73,533,413,
597,260)( 4,226,326,700,519,131,342, 44,163,707,782,213,554,105,598,
652)( 5,730,332,308,509,747,360,296,145,735,780,297,537,749,612,288)
( 6, 30,331,728,530,215,358,100,150,651,760,241,550,693,603,120)
( 7,758,325,560,525,607,344, 16,142,315,784,521,551,357,604,148)
( 9,254,311,448,524,383,348,492,153,455,767,577,557, 77,589,400)
( 10,646,312,252,522,691,351,128,146, 35,779,717,558,217,610, 92)
( 11,562,333, 84,505,411,345,268,143,427,776,381,544,497,601,456)
( 12,478,321,476,515,579,361, 72,141,399,765,269,535,441,608,372)
( 13,450,319,588,529, 75,337,408,149,259,759,437,552,385,600,484)
( 14,170,322,196,518,187,350,184,154,175,770,185,546,189,602,176)
( 15,114,314, 56,527,719,362,212,162, 91,766,661,536,245,606,680)
( 17,534,329,616,512, 19,338,324,168,511,775,353,548,161,595,764)
( 18,674,323,140,510, 47,359,716,166,203,778,101,542,665,592,232)
( 20,366,320,504,517,467,347,576,165, 63,757,409,541,273,591,428)
( 21,590,316, 28,506,327,364,520,159,343,772,157,539,777,605,540)
( 22, 86,318,672,508,243,354,688,155,119,762, 45,555,721,614,204)
( 23,702,334,224,526,103,346,660,144,231,774,689,547,133,594, 36)
( 24,282,313,756,528,299,341,744,164,287,761,745,556,301,593,736)
( 25, 58,309,420,513,271,339,436,160,371,768,493,545,469,599,568)
( 26,198,330,112,514,663,340,240,158,679,771,129,538, 49,611,708)
( 27,618,335,644,531,635,363,632,167,623,783,633,559,637,615,624)
( 29,415,709,278,199,442,104,374,656,480,237,466,683,575,137, 62)
( 31,443,720,390,208,498, 97,458,655,564,249, 74,673,407,121,258)
( 32,247,718,698,211,134, 90, 38,667,704,250,214,694, 99,122,650)
( 33,751,724,306,201,750,108,290,649,732,248,298,677,743,136,286)
( 34, 51,723,726,222,218,106, 94,654,648,228,242,690,687,127,118)
( 37,275,703,446,216,386, 96,486,657,452,235,578,697, 71,113,398)
( 39,583,725, 82,197,414, 93,262,647,424,244,382,684,491,125,454)
( 40,499,713,474,207,582,109, 66,645,396,233,270,675,435,132,370)
( 41,471,711,586,221, 78, 85,402,653,256,227,438,692,379,124,482)
( 42,191,714,194,210,190, 98,178,658,172,238,186,686,183,126,174)
( 43,135,706, 54,219,722,110,206,666, 88,234,662,676,239,130,678)
( 46,695,715,138,202, 50,107,710,670,200,246,102,682,659,116,230)
( 48,387,712,502,209,470, 95,570,669, 60,225,410,681,267,115,426)
( 52,303,705,754,220,302, 89,738,668,284,229,746,696,295,117,734)
( 53, 79,701,418,205,274, 87,430,664,368,236,494,685,463,123,566)
( 55,639,727,642,223,638,111,626,671,620,251,634,699,631,139,622)
( 57,393,401,261,255,423,440,384,376,488,489,461,459,571,585, 81)
( 59,421,412,373,264,479,433,468,375,572,501, 69,449,403,569,277)
( 61,729,416,289,257,731,444,300,369,740,500,293,453,739,584,305)
( 65,253,395,429,272,367,432,496,377,460,487,573,473, 67,561,417)
( 68,477,405,457,263,563,445, 76,365,404,485,265,451,431,580,389)
( 70,169,406,177,266,171,434,188,378,180,490,181,462,179,574,193)
( 80,281,397,737,276,283,425,748,388,292,481,741,472,291,565,753)
( 83,617,419,625,279,619,447,636,391,628,503,629,475,627,587,641)
(173,742,192,294)(195,630)(285,733,752,304)(307,621,755,640) ] ],
[ 14, 146313216, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSU(3, 3)^2.4",
[ "2A", [ 2, 3 ], 2 ],
[ ( 1,736,215,185,720,784,650,324)( 2,735,201,183,703,765,667,332)
( 3,737,219,192,702,763,649,323)( 4,750,214,179,727,770,657,334)
( 5,743,199,177,723,780,646,315)( 6,744,197,176,719,773,664,336)
( 7,733,211,171,709,779,668,310)( 8,747,213,188,728,762,660,309)
( 9,751,220,170,707,761,659,311)( 10,753,217,180,710,781,665,320)
( 11,755,210,181,726,760,666,326)( 12,738,221,189,712,766,669,329)
( 13,754,200,190,718,767,671,322)( 14,741,222,172,722,774,655,335)
( 15,731,205,191,724,758,651,313)( 16,729,204,187,717,776,672,314)
( 17,748,224,174,716,757,652,327)( 18,739,223,182,713,782,648,330)
( 19,745,216,196,706,772,645,316)( 20,756,202,184,701,764,663,325)
( 21,740,206,193,721,768,654,333)( 22,746,207,195,714,769,670,312)
( 23,752,198,175,705,771,647,317)( 24,730,203,173,715,759,653,331)
( 25,749,208,178,725,777,656,318)( 26,732,218,186,711,783,658,321)
( 27,742,209,194,704,778,662,319)( 28,734,212,169,708,775,661,328)
( 29,120,383,493,692,476,426,548)( 30,119,369,491,675,457,443,556)
( 31,121,387,500,674,455,425,547)( 32,134,382,487,699,462,433,558)
( 33,127,367,485,695,472,422,539)( 34,128,365,484,691,465,440,560)
( 35,117,379,479,681,471,444,534)( 36,131,381,496,700,454,436,533)
( 37,135,388,478,679,453,435,535)( 38,137,385,488,682,473,441,544)
( 39,139,378,489,698,452,442,550)( 40,122,389,497,684,458,445,553)
( 41,138,368,498,690,459,447,546)( 42,125,390,480,694,466,431,559)
( 43,115,373,499,696,450,427,537)( 44,113,372,495,689,468,448,538)
( 45,132,392,482,688,449,428,551)( 46,123,391,490,685,474,424,554)
( 47,129,384,504,678,464,421,540)( 48,140,370,492,673,456,439,549)
( 49,124,374,501,693,460,430,557)( 50,130,375,503,686,461,446,536)
( 51,136,366,483,677,463,423,541)( 52,114,371,481,687,451,429,555)
( 53,133,376,486,697,469,432,542)( 54,116,386,494,683,475,434,545)
( 55,126,377,502,676,470,438,543)( 56,118,380,477,680,467,437,552)
( 57,568,243,157, 76,588,230,156)( 58,567,229,155, 59,569,247,164)
( 60,582,242,151, 83,574,237,166)( 61,575,227,149, 79,584,226,147)
( 62,576,225,148, 75,577,244,168)( 63,565,239,143, 65,583,248,142)
( 64,579,241,160, 84,566,240,141)( 66,585,245,152)( 67,587,238,153,
82,564,246,158)( 68,570,249,161)( 69,586,228,162, 74,571,251,154)
( 70,573,250,144, 78,578,235,167)( 71,563,233,163, 80,562,231,145)
( 72,561,232,159, 73,580,252,146)( 77,572,234,165)( 81,581,236,150)
( 85,288,607,269,412,364,622,520)( 86,287,593,267,395,345,639,528)
( 87,289,611,276,394,343,621,519)( 88,302,606,263,419,350,629,530)
( 89,295,591,261,415,360,618,511)( 90,296,589,260,411,353,636,532)
( 91,285,603,255,401,359,640,506)( 92,299,605,272,420,342,632,505)
( 93,303,612,254,399,341,631,507)( 94,305,609,264,402,361,637,516)
( 95,307,602,265,418,340,638,522)( 96,290,613,273,404,346,641,525)
( 97,306,592,274,410,347,643,518)( 98,293,614,256,414,354,627,531)
( 99,283,597,275,416,338,623,509)(100,281,596,271,409,356,644,510)
(101,300,616,258,408,337,624,523)(102,291,615,266,405,362,620,526)
(103,297,608,280,398,352,617,512)(104,308,594,268,393,344,635,521)
(105,292,598,277,413,348,626,529)(106,298,599,279,406,349,642,508)
(107,304,590,259,397,351,619,513)(108,282,595,257,407,339,625,527)
(109,301,600,262,417,357,628,514)(110,284,610,270,403,363,630,517)
(111,294,601,278,396,358,634,515)(112,286,604,253,400,355,633,524),
( 1,511,407,360,103,693,757,514,491,354,327,683)( 2, 63,415,472,100,
609,769,178,501,746,334,207)( 3,147,400, 52,112,441,778,654,481,130,
312,571)( 4,567,395,164, 92, 49,784,430,498,662,313,123)
( 5,119,396,584, 87,161,764, 38,504,438,330,655)( 6,371,401,304,111,
245,776,626,493,270,320,543)( 7,399,416,108,105,777,766,486,494,326,
319, 11)( 8, 35,420,444,106,665,761,122,480,578,311,151)
( 9,287,419,248,104,637,773,262,488,550,314,375)( 10,483,410,332, 95,
21,763,402,500,102,329,767)( 12,539,398,388, 93,301,783,234,496,634,
325,263)( 13,175,417,752,110,217,758, 66,499,466,324,599)
( 14,707,406,724, 98,721,770,710,490,718,322,711)( 15,343,411,696, 85,
525,771,346,495,690,309,515)( 16,595,405,192,109,749,782,206,478, 74,
331,459)( 17,259,404,556, 90,385,765,290,503,242,328,627)
( 18,315,403, 24, 91,413,780, 94,497,774,318,487)( 19,679,393,528, 99,
357,775,682,477,522,323,347)( 20,623,409,276, 96,553,762,374,485,298,
335,235)( 22,651,397,136, 88,581,759,150,484, 46,336,431)
( 23,455,408,612, 97,189,781,738,502,214,310, 67)( 25,735,418,220, 86,
77,779,458,492,606,321,179)( 26,203,394, 80,107,469,772,598,489,186,
333,739)( 27,231,412,640,101,273,768,542,482,382,317,291)
( 28,427,414,668, 89,133,760,570,479,158,316, 39)( 29,532,435,358,663,
677,113,508,575,339,159,680)( 30, 84,443,470,660,593,125,172,585,731,
166,204)( 31,168,428, 50,672,425,134,648,565,115,144,568)
( 32,588,423,162,652, 33,140,424,582,647,145,120)( 34,392,429,302,671,
229,132,620,577,255,152,540)( 36, 56,448,442,666,649,117,116,564,563,
143,148)( 37,308,447,246,664,621,129,256,572,535,146,372)
( 40,560,426,386,653,285,139,228,580,619,157,260)( 41,196,445,750,670,
201,114, 60,583,451,156,596)( 42,728,434,722,658,705,126,704,574,703,
154,708)( 43,364,439,694,645,509,127,340,579,675,141,512)
( 44,616,433,190,669,733,138,200,562, 59,163,456)( 45,280,432,554,650,
369,121,284,587,227,160,624)( 47,700,421,526,659,341,131,676,561,507,
155,344)( 48,644,437,274,656,537,118,368,569,283,167,232)
( 51,476,436,610,657,173,137,732,586,199,142, 64)( 53,756,446,218,646,
61,135,452,576,591,153,176)( 54,224,422, 78,667,453,128,592,573,171,
165,736)( 55,252,440,638,661,257,124,536,566,367,149,288)
( 57,527,463,352,607,685,169,529,743,362,215,674)( 58, 79,471,464,604,
601,181,193,753,754,222,198)( 62,387,457,296,615,237,188,641,745,278,
208,534)( 65,303,475,240,608,629,185,277,740,558,202,366)
( 68,555,454,380,597,293,195,249,748,642,213,254)( 69,191,473,744,614,
209,170, 81,751,474,212,590)( 70,723,462,716,602,713,182,725,742,726,
210,702)( 71,359,467,688,589,517,183,361,747,698,197,506)
( 72,611,461,184,613,741,194,221,730, 82,219,450)( 73,275,460,548,594,
377,177,305,755,250,216,618)( 75,695,449,520,603,349,187,697,729,530,
211,338)( 76,639,465,268,600,545,174,389,737,306,223,226)
( 83,247,468,632,605,265,180,557,734,390,205,282)(225,524,631,353,271,
684,533,510,379,345,299,699)(230,384,625,297,279,236,552,622,381,261,
292,559)(233,300,643,241,272,628,549,258,376,541,286,391)
(238,720,630,717,266,712,546,706,378,709,294,727)(239,356,635,689,253,
516,547,342,383,681,281,531)(243,692,617,521,267,348,551,678,365,513,
295,363)(244,636,633,269,264,544,538,370,373,289,307,251)
(337,523,687)(350,719,686,701,518,715)(351,355,691,673,505,519) ] ],
[ 15, 292626432, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PGammaU(3, 3) wreath Sym(2)", [ "2A", [ 2, 3 ], 2 ],
[ ( 1,494,132, 93, 23,578,116,317, 10,438,133,149, 24,410,126,653)
( 2, 46,114, 37)( 3,550,134,261, 7,634,137,345, 13,214,117,289, 26,
74,118,513)( 4,326,122,429, 21,158,136,401, 14,662,113,485, 20,102,
135,569)( 5,298,138, 65, 6,522,115,541, 22,270,119,625, 25,354,125,
205)( 8,382,127,681, 28,242,124,737, 17,186,139,709, 16,606,131,457)
( 9, 18,130,121)( 11,774,123,765)( 12,746,129,177, 27,718,128,597,
19,466,120,373, 15,690,140,233)( 29,478, 48, 86, 51,562, 32,310, 38,
422, 49,142, 52,394, 42,646)( 31,534, 50,254, 35,618, 53,338, 41,198,
33,282, 54, 58, 34,506)( 36,366, 43,674, 56,226, 40,730, 45,170, 55,
702, 44,590, 47,450)( 39,758)( 57,482,524, 87,555,582,256,315,626,
445,357,153,220,397,294,670)( 59,538,526,255,539,638,277,343,629,221,
341,293,222, 61,286,530)( 60,314,514,423,553,162,276,399,630,669,337,
489,216, 89,303,586)( 62,510,507,535,554,274,259,623,641,361,349,209,
201,285,306, 82)( 63,622,529,339,545,218,257,287,642, 81,342,517,199,
537,302,278)( 64,370,519,675,560,246,264,735,633,193,363,713,212,593,
299,474)( 66,426,525,143,556,414,266,651,617,501,356, 97,219,565,284,
334)( 67,762,515,759,543,778,263,763,627,781,347,769,207,761,291,782)
( 68,734,521,171,559,722,268,595,635,473,344,377,211,677,308,250)
( 69,202,509,283,558, 78,258,511,619,557,358,265,203,621,305,362)
( 70,650,505,479,552,106,275,567,620,333,346,433,217,145,304,418)
( 71,678,532,227,544,750,269,175,643,725,352,601,215,453,288,390)
( 72,594,523,451,540,386,267,679,644,249,348,741,213,173,307,726)
( 73,174,531,703,548,610,271,455,624,389,351,685,224,229,292,754)
( 75,454,512,367,547,694,280,231,628,753,353,181,223,705,296,614)
( 76, 90,527,563,536,330,262,427,637,165,360,405,210,649,281,502)
( 77,146,528,395,546,666,253,483,636,109,359,573,200,313,290,446)
( 79,566,508,311,542,442,273,147,640,417,350,657,197,481,300,110)
( 80,398,518,647,533,498,272, 91,639,585,340,321,206,425,301,166)
( 83,706,520,591,551,470,260,371,631,697,364,237,208,733,297,194)
( 84,230,516,731,549,190,279,707,632,613,355,461,204,369,295,698)
( 85,499,580, 88,331,570,424,329,150,444,413,154,668,393,490,664)
( 92,387,575,676,336,234,432,749,157,192,419,714,660,589,495,468)
( 94,443,581,144,332,402,434,665,141,500,412, 98,667,561,480,328)
( 95,779,571,760,319,766,431,777,151,780,403,770,655,757,487,776)
( 96,751,577,172,335,710,436,609,159,472,400,378,659,673,504,244)
( 99,695,588,228,320,738,437,189,167,724,408,602,663,449,484,384)
(100,611,579,452,316,374,435,693,168,248,404,742,661,169,503,720)
(101,191,587,704,324,598,439,469,148,388,407,686,672,225,488,748)
(103,471,568,368,323,682,448,245,152,752,409,182,671,701,492,608)
(104,107,583,564,312,318,430,441,161,164,416,406,658,645,477,496)
(105,163,584,396,322,654,421,497,160,108,415,574,648,309,486,440)
(111,723,576,592,327,458,428,385,155,696,420,238,656,729,493,188)
(112,247,572,732,325,178,447,721,156,612,411,462,652,365,491,692)
(176,391,715,688,616,243,460,736,381,183,699,728,240,600,747,465)
(179,783,711,772,599,775,459,764,375,771,683,784,235,768,739,773)
(180,755,717,184,615,719,464,596,383,463,680,392,239,684,756,241)
(185,195,727,716,604,607,467,456,372,379,687,700,252,236,740,745)
(187,475,708,380,603,691,476,232,376,743,689,196,251,712,744,605),
( 1,779,614,465, 59,149,188, 5,767,604,450, 63,141,191, 26,773,591,
457, 76,145,179, 16,758,595,449, 79,166,185, 3,765,608,453, 67,156,
170, 7,757,611,474, 73,143,177, 20,761,599,464, 58,147,169, 23,782,
605,451, 65,160,173, 11,772,590,455, 57,163,194, 17,759,597,468, 61,
151,184, 2,763,589,471, 82,157,171, 9,776,593,459, 72,142,175)
( 4,778,607,466, 80,168,195, 14,762,601,463, 64,144,190, 19,774,612,
476, 83,154,174, 13,771,596,452, 78,159,186, 24,784,615,462, 62,153,
183, 8,760,610,467, 74,164,196, 27,770,594,461, 71,148,172, 22,775,
606,472, 84,167,182, 6,769,603,456, 60,162,187, 18,780,616,475, 70,
146,181, 15,764,592,470, 75,158,192, 28,783,602,454, 69,155,176)
( 10,777,613,458, 77,165,178, 21,781,598,469, 81,150,189, 25,766,609,
473, 66,161,193)( 12,768,600,460, 68,152,180)( 29,359,558,269,563,
205,496, 33,347,548,254,567,197,499, 54,353,535,261,580,201,487, 44,
338,539,253,583,222,493, 31,345,552,257,571,212,478, 35,337,555,278,
577,199,485, 48,341,543,268,562,203,477, 51,362,549,255,569,216,481,
39,352,534,259,561,219,502, 45,339,541,272,565,207,492, 30,343,533,
275,586,213,479, 37,356,537,263,576,198,483)( 32,358,551,270,584,224,
503, 42,342,545,267,568,200,498, 47,354,556,280,587,210,482, 41,351,
540,256,582,215,494, 52,364,559,266,566,209,491, 36,340,554,271,578,
220,504, 55,350,538,265,575,204,480, 50,355,550,276,588,223,490, 34,
349,547,260,564,218,495, 46,360,560,279,574,202,489, 43,344,536,274,
579,214,500, 56,363,546,258,573,211,484)( 38,357,557,262,581,221,486,
49,361,542,273,585,206,497, 53,346,553,277,570,217,501)
( 40,348,544,264,572,208,488)( 85,751,446,661,619,709,524, 89,739,436,
646,623,701,527,110,745,423,653,636,705,515,100,730,427,645,639,726,
521, 87,737,440,649,627,716,506, 91,729,443,670,633,703,513,104,733,
431,660,618,707,505,107,754,437,647,625,720,509, 95,744,422,651,617,
723,530,101,731,429,664,621,711,520, 86,735,421,667,642,717,507, 93,
748,425,655,632,702,511)( 88,750,439,662,640,728,531, 98,734,433,659,
624,704,526,103,746,444,672,643,714,510, 97,743,428,648,638,719,522,
108,756,447,658,622,713,519, 92,732,442,663,634,724,532,111,742,426,
657,631,708,508,106,747,438,668,644,727,518, 90,741,435,652,620,722,
523,102,752,448,671,630,706,517, 99,736,424,666,635,718,528,112,755,
434,650,629,715,512)( 94,749,445,654,637,725,514,105,753,430,665,641,
710,525,109,738,441,669,626,721,529)( 96,740,432,656,628,712,516)
(113,331,306,381,227,401,692,117,319,296,366,231,393,695,138,325,283,
373,244,397,683,128,310,287,365,247,418,689,115,317,300,369,235,408,
674,119,309,303,390,241,395,681,132,313,291,380,226,399,673,135,334,
297,367,233,412,677,123,324,282,371,225,415,698,129,311,289,384,229,
403,688,114,315,281,387,250,409,675,121,328,285,375,240,394,679)
(116,330,299,382,248,420,699,126,314,293,379,232,396,694,131,326,304,
392,251,406,678,125,323,288,368,246,411,690,136,336,307,378,230,405,
687,120,312,302,383,242,416,700,139,322,286,377,239,400,676,134,327,
298,388,252,419,686,118,321,295,372,228,414,691,130,332,308,391,238,
398,685,127,316,284,386,243,410,696,140,335,294,370,237,407,680)
(122,329,305,374,245,417,682,133,333,290,385,249,402,693,137,318,301,
389,234,413,697)(124,320,292,376,236,404,684) ] ],
[ 16, 4213820620800, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSp(6, 2) wreath Sym(2)", [ "B", [ 3, 2 ], 2 ],
[ ( 1,280,506, 64,246, 12,279,510, 73,247, 24,277,505, 84,226, 8,274,516,
83,230, 17,275,528, 81,225, 28,254,512, 78,236, 27,258,521, 79,248,
25,253,532, 58,232, 22,264,531, 62,241, 23,276,529, 57,252, 2,260,
526, 68,251, 6,269,527, 80,249)( 3,270,511, 71,227, 18,259,519, 59,
242, 7,267,507, 74,231, 15,255,522, 63,239)( 4,268,509, 76,238, 26,
256,520, 61,244, 14,278,508, 72,229, 20,266,530, 60,240, 5,272,518,
82,228, 16,257,524, 70,250)( 9,261,513, 65,233)( 10,265,515, 77,
234, 13,263,525, 66,237, 11,273,514, 69,235, 21,262,517, 67,245)
( 19,271,523, 75,243)( 29,308,422,680,582,656,783,398,157,611,220,333,
533,756,450, 36,302,432,699,566,661,779,416,165,589,224,310,540,750,
460, 55,286,437,695,584,669,757,420,142,596,218,320,559,734,465, 51,
304,445,673,588,646,764,414,152,615,202,325,555,752,473)
( 30,288,442,684,587,650,773,415,164,613,197,336,534,736,470, 40,307,
426,689,583,668,781,393,168,590,204,330,544,755,454, 45,303,444,697,
561,672,758,400,162,600,223,314,549,751,472, 53,281,448,674,568,666,
768,419,146,605,219,332,557,729,476)( 31,298,427,687,563,662,763,407,
143,606,203,323,535,746,455, 43,283,438,679,575,647,774,399,155,591,
214,315,547,731,466, 35,295,423,690,567,659,759,410,147,603,199,326,
539,743,451, 46,287,435,675,578,651,771,395,158,595,211,311,550,735,
463)( 32,296,425,692,574,670,760,408,145,608,210,334,536,744,453, 48,
294,446,676,576,649,776,406,166,592,212,313,552,742,474)
( 33,300,434,698,564,660,761,412,154,614,200,324,537,748,462, 54,284,
436,677,580,658,782,396,156,593,216,322,558,732,464)( 34,297,443,696,
585,645,784,394,148,610,208,335,538,745,471, 52,305,421,700,562,652,
778,404,167,594,213,331,556,753,449, 56,282,428,694,572,671,762,409,
163,612,221,309,560,730,456, 50,292,447,678,577,667,780,417,141,616,
198,316,554,740,475)( 37,289,429,681,569,653,765,401,149,597,205,317,
541,737,457)( 38,293,431,693,570,657,767,413,150,601,207,329,542,741,
459, 49,290,433,683,581,654,769,403,161,598,209,319,553,738,461, 39,
301,430,685,571,665,766,405,151,609,206,321,543,749,458, 41,291,441,
682,573,655,777,402,153,599,217,318,545,739,469)( 42,306,424,688,565,
664,770,418,144,604,201,328,546,754,452, 44,285,440,686,586,648,772,
397,160,602,222,312,548,733,468)( 47,299,439,691,579,663,775,411,159,
607,215,327,551,747,467)( 85,504,366, 92,498,376,111,482,381,107,500,
389)( 86,484,386, 96,503,370,101,499,388,109,477,392)
( 87,494,371, 99,479,382, 91,491,367,102,483,379)( 88,492,369,104,490,
390)( 89,496,378,110,480,380)( 90,493,387,108,501,365,112,478,372,
106,488,391)( 93,485,373)( 94,489,375,105,486,377, 95,497,374, 97,
487,385)( 98,502,368,100,481,384)(103,495,383)(113,728,338,176,638,
124,727,342,185,639,136,725,337,196,618,120,722,348,195,622,129,723,
360,193,617,140,702,344,190,628,139,706,353,191,640,137,701,364,170,
624,134,712,363,174,633,135,724,361,169,644,114,708,358,180,643,118,
717,359,192,641)(115,718,343,183,619,130,707,351,171,634,119,715,339,
186,623,127,703,354,175,631)(116,716,341,188,630,138,704,352,173,636,
126,726,340,184,621,132,714,362,172,632,117,720,350,194,620,128,705,
356,182,642)(121,709,345,177,625)(122,713,347,189,626,125,711,357,
178,629,123,721,346,181,627,133,710,349,179,637)(131,719,355,187,635)
, ( 1,715,377,314,695,753, 18,239,365,706,685,333, 23,743,382,230,
673,725, 13,323,387,734,690,249)( 2, 99,381,538,699,137, 28,575,388,
62,681,305, 16,211,376,650,698,165, 22,183,384,454,675,529)
( 3,519,366, 90,689,557, 27,127,392,566,696, 81, 9,295,380,202,684,
669, 26,155,386,174,692,473)( 4,267,378,762,682,417)
( 5,631,372,594,677,641, 8,603,369,622,680,613)( 6,687,389)
( 7,435,385,342,683,501, 19, 43,371,426,693,361, 11,491,383, 34,679,
445, 21,351,375,482,691, 53)( 10,407,368,258,686,781)
( 12,659,390,146,694,193, 20,463,367,510,674,109, 17,547,391,118,700,
585, 24, 71,373,286,688,221)( 14,771,374,398,676,277)
( 15,379,370,678,697, 25)( 29,707,433,329,359,739,494,243)
( 30, 91,437,553,363,123,504,579, 52, 63,429,301,352,207,488,663, 54,
147,442,189,356,459,479,523)( 31,511,422,105,353,543,503,131, 56,567,
444, 77,345,291,492,215, 40,651,446,161,358,179,496,467)
( 32,259,434,777,346,403,480,271, 42,763,430,413,340,263,490,775, 38,
399,424,273,350,767,486,411)( 33,623,428,609,341,627,484,607)
( 35,427,441,357,347,487,495, 47)( 36,595,425,637,344,599,481,635)
( 37,287,436,217,348,655,502,159, 50,175,440,469,339,515,478,103, 45,
539,447,133,364,571,500, 75)( 39,483,439, 49,343,431,497,355)
( 41,315,443,749,354,235,477,719)( 44,203,432,665,362,151,498,187, 48,
455,423,525,338, 95,493,551, 55,119,448,581,360, 67,485,299)
( 46,231,421,721,349,319,499,747)( 51,735,438,245,337,711,489,327)
( 57,709,293,324,219,740,662,250,141,722,181,328,471,731,522,226, 85,
717,545,335,135,756,578,248)( 58, 93,297,548,223,124,672,586,164, 78,
177,300,464,199,516,646,110,157,554,195,132,476,563,528)
( 59,513,282,100,213,544,671,138,168,582,192, 76,457,283,520,198, 96,
661,558,167,134,196,580,472)( 60,261,294,772,206,404,648,278,154,778,
178,412,452,255,518,758, 94,409,536,279,126,784,570,416)
( 61,625,288,604,201,628,652,614,145,638,176,608,453,619,512,590, 89,
633,540,615,117,644,568,612)( 64,597,285,632,204,600,649,642,148,610,
173,636,456,591,509,618, 92,605,537,643,120,616,565,640)
( 65,289,296,212,208,656,670,166,162,190,188,468,451,507,506, 86,101,
549,559,139,140,588,584, 80)( 66,401,284,268,210,768,654,418,144,274,
182,776,458,395,508,254, 98,773,542,419,116,280,574,780)
( 68,653,306,156,218,180,664,474,143,526,170,104,465,535,531,114,112,
577,556, 83,121,308,576,220)( 69,317,303,744,214,236,645,726,153,330,
191,748,466,227,505,702, 97,325,555,755,130,252,561,724)
( 70,765,290,408,200,264,658,782,150,414,172,272,462,759,514,394, 88,
269,546,783,122,420,564,276)( 72,205,292,660,222,152,666,194,160,470,
171,524,450, 87,521,534,111,129,560,587,136, 84,569,304)
( 73,541,307,128,224,572,668, 82,149,302,184,216,460,647,530,142,106,
185,552,475,115,532,562,108)( 74,233,281,716,209,320,667,754,158,246,
169,720,461,311,527,730,102,241,533,727,125,336,583,752)
( 79,737,298,240,197,712,657,334,163,750,186,244,449,703,517,310,107,
745,550,251,113,728,573,332)(225,701,713,321,331,751,746,242)
(228,253,714,769,318,415,732,270,238,757,710,405,312,275,742,774,234,
393,704,265,322,779,738,410)(229,617,708,601,313,639,736,606)
(232,589,705,629,316,611,733,634)(237,309,723,741,326,247,729,718)
(256,266,770,766,402,396)(257,630,764,598,397,620,260,602,761,626,400,
592)(262,406,760)(593,621,624,596) ] ],
[ 17, 46478451340035594117247487634202747771193131008000000000000, 0, "4c",
[ [ 729, 1 ], [ 54, 1 ] ], 1, "Alt(28) wreath Sym(2)", [ "A", 28, 2 ],
[ ( 1,783,677, 2,671,676,338,655,256,348,179,267,600,182,323,614,154,311,
474,156,479,455,632,477,763,621)( 3,475,688,478,651,620,337,767,257,
12,195,687,590,658,312,362,151,255,460,184,491,595,630,309,782,145)
( 4,363,683,254,656,172,351,599,266,320,194,155,591,462,324,502,147,
619,449,772,481, 7,643,673,758,649)( 5, 27,699,674,646,648,340,347,
263,264,180,183,603,602,322,334,166,143,451,464,492,483,623,617,757,
761)( 6, 83,696,394,663,116,361,291,274, 96,191,715,596,378,326,530,
153,199,465,436,497,231,636,533,765,733, 28,587,682, 30,650, 60,360,
403,271,124,193,295,610, 98,331,726,148,367,466,520,489,203,633,421,
777,229, 20,559,681,730,672,564,346, 39,258, 68,192,407,607,126,333,
306,162, 87,471,716,484,371,634,505,769,201, 17,447,693,226,664,536,
345,739,280,572,178, 43,594, 70,332,418,159,115,473,296,498, 91,639,
701,764,369, 18,531,685,198,661,424,357,235,272,544,177,743,616,574,
318, 54,146, 59,472,408,495,119,641,281,778, 89, 23,727,680,366,662,
508,349,207,269,432,189,239,608,546,317,754,168,563,458, 44,482, 63,
640,393,775,117, 25,307,694, 86,667,704,344,375,270,516,181,211,605,
434,329,250,160,535,457,744,504,567,626, 29,762, 61, 24,419,691,114,
669,284,358, 95,275,712,176,379,606,518,321,222,157,423,469,240,496,
539,625,729,784,565, 10, 55,678, 58,668,396,355,123,277,292,190, 99,
611,714,316,390,158,507,461,212,493,427,637,225,776,537, 9,755,700,
562,654, 32,342, 67,276,404,187,127,613,294,330,110,163,703,456,380,
494,511,629,197,773,425, 21,251,692,534,653,732,364,571,262, 40,174,
71,612,406,327,138,165,283,470,100,499,707,624,365,774,509, 13,223,
689,422,665,228,356,543,261,740,196,575,598, 42,314, 82,164,395,467,
128,501,287,638, 85,779,705, 8,391,690,506,657,200,353,431,273,236,
188,547,597,742,336,586,150, 31,454, 72,500,399,635,113,781,285, 22,
111,695,702,652,368,354,515,265,208,185,435,609,238,328,558,149,731,
476,576,486, 35,622, 57,780,397, 19,139,697,282,666, 88,359,711,260,
376,186,519,601,210,325,446,161,227,468,548,485,735,644,561,766, 33)
( 11,279,684,170,659,592,350,319,278,152,171,463,604,490,315,642,141,
759,453, 16,503,679,618,645,760,341)( 14,335,698,142,647,452,352,487,
259,628,169,771,593)( 15,615,686,310,670,144,339,459,268,488,175,631,
589,770,313, 26,167,675,450,660,480,343,627,253,768,173)
( 34, 62, 80,416,411,131,137,305,302,106,107,723,708,372,382,522,517,
209,213,437,441,245,244,552,541,737,756,588,570, 38)( 36,370, 74,528,
405,215,129,445,301,246,104,555,709,736,392,578,514, 41,202, 73,444,
413,243,132,557,289,750,112,583,710)( 37,734, 84,584,402, 47,118, 81,
304,414,103,135,725,288,386,102,527,713,204,381,438,525,237,216,549,
429,749,252,580,542)( 45,426, 77,248,412,551,121,753,308,582, 94, 51,
706, 64,388,410,523,125,221,297,442,105,247,720,540,373,746,532,573,
206)( 46,510, 69,220,409,439,133,249,300,554, 93,751,728,568,374)
( 48,538, 65,752,420,579,122, 53,286, 78,108,415,719,120,389,298,526,
97,219,717,428,385,242,524,545,205,745,448,581,234)( 49,230, 76,556,
401,747,140,585,290, 50, 90, 79,724,400,383,130,529,293,218,101,443,
721,232,384,550,513,741,224,577,430)( 52,398, 75,136,417,299,134,109,
303,722, 92,387,718,512,377,214,521,433,217,241,440,553,233,748,560,
569,738, 56,566, 66),
( 1, 55,482, 63,640,701, 36,370, 74,220,717,120,390,746,221,269,124,
194,743,473,268,404,187,519,461,352,403,299,526,153,339,767,285, 22,
167,479,763,621)( 2,447,497, 91,639,533, 37,594, 70,332,728,568,374,
690,198,437,133,110,751,557,261,600,182,323,476,576,402,691,506,433,
357, 95,303,554,149,591,770,313, 28,587,486,679,618,421, 49, 90, 79,
556,709,596,378,326,224,577,122,698,730,445,273, 96,191,547,457,604,
406,327,532,573,346,683,282,442,161, 87,779,537, 9,615,490,315,644,
561, 38,678, 58,444,721, 92,387,550,205,605,126,334,756,585,262,684,
170,435,469,100,415,551,513,601,350,319,308,582,150,675,758,425, 21,
111,499,539,625,589, 42,314, 84,584,710,680,366,438,217,101,135,558,
737,613,266,320,196,575,458,688,394,439,525, 97,359,543,289,610,154,
311,784,565, 10,699,478,427,637, 85, 51,538, 65,612,714,316,392,578,
206,689,114,446,749,109,275,544,177,603,462,324,420,579,514,685,338,
431,301,106,163,535,765,593, 14,335,504,567,626,673, 30,426, 77,108,
723,540,373,606,210,325,140,586,738,697,254,432,189, 99,471,548,401,
607,518,321,364,571,290,694,142,423,777, 89, 23,559,485,595,630,309,
56,566, 66,696,702,428,385,102,219,549,121,614,742,333,280,572,178,
687,450,436,413,103,527,545,345,599,294,330,168,563,766,677)
( 3,783,481, 7,643,477, 35,622, 57, 52,706, 64,388,718,204,381,130,
222,745,137,278,740,193,267,460,184,407,467,520,405,355,515,293,358,
151,283,778,145)( 4,671,480,651,620,645, 32,650, 60,668,704,652,368,
662,200,661,116,670,732,669,256,656,172,659,452,660,396,663,508,657,
340,655,284,666,144,647,760,649)( 5, 27,503,483,623,617, 29, 34, 62,
80,724,708,372,382,214,213,129,138,754,753,277,264,180,183,463,464,
408,411,523,517,349,347,291,302,162,143,759,761)( 6, 83,500,707,624,
365, 46,202, 73,136,726,736,389,270,208,185,127,474,744,417,271,516,
181,351,459,296,414,159,507,769,341, 11,307,498,147,619,757, 33)
( 8,391,494,203,633,113, 54,734, 81,276,712,176,379,466,212,409,131,
530,741,361,263,292,190,155,451,772,397, 19,531,489,343,627,281, 50,
146, 59,780,705)( 12,195,491,455,632,393, 47,510, 69,360,711,288,386,
158,199,773,117, 26,755,501,259,628,169, 43,454, 72,416,719,512,377,
354,207,297,134,166,731,781,257)( 13,363,487,287,638,141, 31,762, 61,
24,727,484,371,634,197, 45,118, 82,752,725,260,376,186,211,465,128,
418,747,529,265,348,179,295,470,156,395,775,509)( 15,475,492,399,635,
505, 41,342, 67,304,722,148,367,774,201, 17,139,502,735,641,253, 40,
174, 71,472,716,400,383,522,209,353,123,306,750,165,255,768,173)
( 16,419,495,511,629,337, 39,286, 78,164,703,764,369, 18,223,493,119,
642,729, 53,258, 68,192,715,456,380,410,215,521,125,362,739,305,274,
152,171,771,453)( 20,251,496,231,636,225, 48,230, 76,248,720,232,384,
242,216,241,132,250,748,249,272,236,188,239,468,240,412,243,524,237,
356,235,300,246,160,227,776,229)( 25,279,488,175,631,449, 44,398, 75,
528,713,344,375,298,218,157,115,782,733)( 86,443,553, 93,611,546,317,
616,574,318,700,562,430,693)( 88,667,536,653,592,658,312,672,564,654,
676,646,424,665)( 94,695,534,429,609, 98,331,560,569,598,686,310,448,
581)(104,247,552,233,608,238,328,252,580,234,692,226,440,245)
(105,107,555,541,597,602,322,336,588,570,682,674,422,441)
(112,583,542,681,590,434,329)(228,664) ] ],
[ 18, 92956902680071188234494975268405495542386262016000000000000, 0, "4c",
[ [ 729, 1 ], [ 54, 1 ] ], 1, "Alt(28)^2.2^2", [ "A", 28, 2 ],
[ ( 1,766,608,508, 92,576,115,553,180, 22,430,590,200,102,632,137,665,175,
470,443,674,224,158,635,305,657,483,454,247,696, 84,157,355,295, 41,
490,706,235,388, 65,269,341,743, 54,322,701,767,384,513,260,565,731,
558,320)( 2,206,606,620,109,660,119,469,191,694,448,142,215,298,629,
501,650,231,472, 79,689,364,155, 47,294,713,487,370,233,276, 61,745,
362,323, 29,770,720,515,372,569,255,537,740, 26,318,589,760,104,520,
120,581,171,554,432)( 3,542,600, 4, 94,604,116,105,184,134,441,170,
218,438,618,221,662,623,473,667,679,476,163,691,308,153,495,286,237,
500, 62,241,360, 71, 45,350,715, 39,378,709,263,369,737,278,313,729,
782,328,505,764,580,507,540,572)( 5,738,614,312, 85,772,132,525,176,
582,423,534,208, 18,626,613,648, 91,464,135,693,196,162,439,282,209,
494,622,249,668, 63,465,359,687, 56,154,719,291,377,485,258,229,752,
82,325,337,771, 48,518,708,571,367,541,264)( 6,234,612, 60,101,352,
127, 49,182,722,431,366,205,270,621,753,670,315,449,779,692,532,148,
579,283,545,488)( 7,458,611,676,112,156,131,301,181,498,426,226,220,
74,633,361,659, 35,462,723,683,392,149,271,285,741,502,314,225,780,
76,521,344,575, 31,546,712, 11,374,597,256, 89,744,138,329,169,778,
440,506,204,578,619,557,656)( 8,570,591,536, 96, 16,122,609,172,106,
436,114,217,186,638,445,646,203,466,639,697,672,147,467,303,685,504,
146,243,304, 69,493,342,239, 52, 70,717,347,379, 37,266,705,739,390,
317,253,761,748,530,316,561,759,552,516)( 9,262,593,732,110,324,113,
777,188,526,428,562,199,550,628, 25,654,595,452,107,688,140,161,187,
302,433,478,202,242,640, 81,661,343,463, 51,686,728,151,383,289,265,
481,734,250,332, 57,773,356,519, 36,574,703,543,376)( 10,598,592, 88,
100,128,133,189,190,442,422,198,214,634,641,669,651,455,471,695,700,
168,159,299,293,489,482,230,248, 80, 73,353,351, 43, 42,714,711,375,
373,261,257,733,754,334,309,757,776,524,512,568,563,535,544, 12)
( 13,486,594,228,108, 72,129,357,183, 50,434,702,207,382,625,277,649,
735,474,331,673,784,160,523,288,573,479,538,236, 24, 66,605,340, 99,
44,126,721,179,386,429,254,201,746,642,333,645,763,468,527,680,588,
143,551,292)( 14,710,599,368, 93,268,117,749,194,330,421,758,216,522,
624,585,647,539,460, 23,682,616,144,103,296,125,497,174,246,444, 58,
213,354,631, 53,658,707,459,387,681,280,145,747,306,321,477,762,244,
528, 64,577,339,547, 40)( 15, 38,602,704, 95,380,121,273,173,750,446,
310,197,774,636,529,652,567,451,555,684, 28,150,607,284, 97,492,118,
245,192, 78,437,338,211, 46,630,725,655,371,457,275,677,756,166,327,
281,769,496,510,232,584, 59,549,348)( 17,346,603, 32, 98,716,123,385,
177,274,425,730,222,326,617,781,664,511,456,583,675,560,152, 19,290,
601,480, 90,240,136, 77,185,358,435, 30,210,718,627,389,653,259,453,
751,698,336,141,775,300,517,484,566,227,556, 68)( 20,514,596,564, 87,
548,124, 21,178,610,424, 86,212,130,637,193,666,427,450,219,690,644,
165,663,287,461,499,678,252,164, 75,297,349,491, 34,238,724, 67,381,
345,267, 33,742,726,319,365,765,272,509,736,586,311,533,768)
( 27,402,615,396,111,408,139,413,195,414,447,394,223,410,643,417,671,
399,475,415,699,420,167,411,307,405,503,398,251,416, 83,409,363,407,
55,406,727,403,391,401,279,397,755,418,335,393,783,412,531,400,587,
395,559,404), ( 1, 12, 40, 44,156,161,217,216,552,546,742,756,196,
192,108,102,662,653,289,295, 71, 75,327,313,761,778,470,473,697,674,
226,250,362,353,381,375,403,393)( 2,236, 54,352,157,385,207,412,533,
14,740, 56,184,164,105,214,664,541,294,743, 84,187,332, 89,774,666,
457,305,687, 58,243,334,341,773,386,459,417,673)( 3,572, 32,128,163,
721,209,524,542,630,755,448,171,584, 88,130,667,709,293,519, 66,635,
335,425,759,582,452,137,695,702,237,530,346,633,391,431,395,561, 4,
124, 51,716,153,525,206,636,559,434,731,588,172,136,107,718,657,513,
290,631, 83,439,311,565,760,134,471,725,685,506,234,642,363,437,367,
571,396,113, 23,712, 41,520,150,637,223,440,535,574,732,140,191,724,
97,522,654,625,307,435, 59,579,312,117,779,722,461,529,682,618,251,
446,339,577,368,123,415,701, 13,516, 38,632,167,441,199,580,536,126,
751,728,181,528, 94,634,671,429,283,575, 60,131,331,705,769,526,458,
641,699,422,227,586,340,129,387,711,405,505, 10,628, 55,436,143,581,
200,132,555,714,741,532,178,640,111,438,647,569,284,127, 79,719,321,
509,766,638,475,445,675,562,228,138,359,717,377,515,402,617, 27,432,
31,576,144,133,219,720,545,518,738,644,195,444, 87,578,648,121,303,
715, 69,523,318,621,783,442,451,585,676,114,247,726,349,521,374,627,
419,421)( 5,768, 50,464,165,693,198,244,558,350,745,392,179,416, 85,
18,656, 37,296,155, 77,215,328,537,770,750,476,193,696, 86,242,670,
345,297,379, 67,411,309)( 6,264, 34,268,146,273,202,272,538,266,734,
280,174,276, 90,270,650,261,286,267, 62,271,314,257,762,274,454,277,
678,254,230,278,342,269,370,263,398,253)( 7,488, 36,604,147,497,204,
608,539,490,736,616,175,500, 92,606,651,485,288,603, 63,495,316,593,
763,498,456,613,679,478,232,614,343,493,372,599,399,477, 8,600, 35,
492,148,609,203,496,540,602,735,504,176,612, 91,494,652,597,287,491,
64,607,315,481,764,610,455,501,680,590,231,502,344,605,371,487,400,
589)( 9,292, 43, 72,159,329,201,776,554,462,753,700,170,248,110,354,
661,373,291,407, 57, 19,320, 33,772,162,469,221,692,534,238,754,364,
185,388, 95,410,645)( 11,404, 29, 16,152, 49,212,160,553,210,748,560,
182,752,112,186,668, 93,298,659, 65,299,323, 61,775,330,453,781,694,
450,249,698,338,241,390,347,409,365)( 15, 68, 47,324,145,777,218,468,
557,686,730,252,194,360,101,382,655,401,281)( 17,376, 39,408,141, 21,
208, 48,548,154,749,224,188,556, 98,746,672,177,304, 99, 74,663,317,
285,771, 78,467,333,677,758,246,474,361,689,366,235,418,337)
( 20,544, 42,744,168,189,220,104,550,658,737,308,183, 80,103,326,649,
765,302,463, 81,691,310,229,782,358,465,389,683,394,225, 26,348, 45,
380,151,413,197)( 22,460, 53,688,142,245,222,356,549,378,739,420,169,
24, 96, 46,660,149,301,211, 76,551,322,733,784,190,472,109,690,646,
233,306,351, 73,383,319,397,757)( 25,684, 30,240,166,357,213,384,543,
406,729, 28,180, 52,100,158,665,205,300,547, 70,747,336,173,780,106,
466,669,681,282,239, 82,355,325,369,767,414,449)(115,583,704,125,527,
710,629,531,430,619,587,424)(116,135,723,713,517,514,626,643,447,423,
563,564)(118,275,706,265,510,262,622,279,426,255,566,256)
(119,499,708,601,511,486,624,615,427,479,568,592)(120,611,707,489,512,
598,623,503,428,591,567,480)(122,639,727,433,507,570,620,139,443,703,
573,508)(259,482,260,594)(483,484,596,595) ] ],
[ 19, 92956902680071188234494975268405495542386262016000000000000, 0, "4c",
[ [ 729, 1 ], [ 54, 1 ] ], 1, "Alt(28)^2.4", [ "A", 28, 2 ],
[ ( 1,640, 90,764,686,369,128,361,614,544,263,327,517,730, 21,304, 85,624,
678,761,126,389,604,348,278,551,515,310, 13,752,105,288,673,621,118,
781,602,376,268,355,530,534, 11,332, 97,736,693,285,113,641,594,768,
266,383,520,338, 26,556, 95,316,685,733,133,305,589,628,258,775,518,
366, 16,360,110,540,683,313,125,753,609,292,253,635,510,758, 14,388,
100,344,698,537,123,333,601,740,273,299,505,618, 6,780, 98,372,688,
341,138,557,599,320,265,747,525,282)( 2, 24,108, 92,680,677,117,137,
613,600,264,271,523,506)( 3,724, 91,484,675,705,119,501,591,712,259,
495,507,702, 7,500, 87,708,679,481,115,725,595,488,255,719,511,478)
( 4, 80, 88, 64,676, 61,116, 81,592, 68,256, 75,508, 58)
( 5,136,109,596,684,257,131,529,590, 12,276,103,512,674)
( 8,696, 89,120,697,593,124,277,607,516,254, 19,528, 86)
( 9,164,111,456,690,229,129,585,603,404,262,215,532,170, 20, 52, 93,
148,699,453,130,249,605,572,267,411,514,198, 28,192,104, 36,681,145,
139,473,606,236,269,579,519,394, 10,220,112,176,692, 33,121,165,615,
460,270,243,521,562, 15,416, 94,204,700,173,132, 53,597,152,279,467,
522,226, 17,584, 99,400,682,201,140,193,608, 40,261,159,531,450, 18,
248,101,568,687,397,122,221,616,180,272, 47,513,142, 27,472,102,232,
689,565,127,417,598,208,280,187,524, 30)( 22,444,106,428,694,425,134,
445,610,432,274,439,526,422)( 23,668,107,652,695,649,135,669,611,656,
275,663,527,646)( 25,612, 96,260,691,509,114)( 29,625,146,783,462,
382,240,353,586,547,403,318,209,756,189,300)( 31,709,147,503,451,718,
231,493,563,715,399,486,199,728,175,496)( 32, 65,144, 83,452, 74,228,
73,564, 71,396, 66,200, 84,172, 76)( 34,765,154,391,464,354,250,549,
571,323,405,738,217,308,169,636)( 35,485,143,727,455,494,227,717,567,
491,395,710,203,504,171,720)( 37,149,167,475,466,242,241,577,575,407,
402,206,224,196,188, 48)( 38,205,168,195,468, 46,233,157,587,463,410,
234,213,588,183,412)( 39,317,153,755,469,298,225,633,566,771,406,374,
212,364,194,552)( 41,737,161,307,449,634,230,773,574,379,408,346,222,
560,179,328)( 42,373,156,363,474,550,235,325,573,743,413,290,197,644,
174,776)( 43,401,150,223,476,186,244, 45,569,155,419,458,214,252,185,
580)( 44,345,166,559,459,326,237,745,581,295,393,626,202,784,182,384)
( 49,289,141,643,454,774,238,381,576,351,418,542,207,336,181,748)
( 50,429,162,447,470,438,246,437,582,435,414,430,218,448,190,440)
( 51,653,163,671,471,662,247,661,583,659,415,654,219,672,191,664)
( 54,541,151,335,461,746,245,297,561,631,398,766,210,392,184,356)
( 55,457,158,251,465,578,239,409,570,211,420,178,216, 56,177,160)
( 57,620, 62,760, 70,368, 72,340, 82,536, 67,312, 69,732, 77,284)
( 59,704, 63,480)( 78,424)( 79,648)(281,617,622,762,770,378,380,352,
362,558,543,319,321,741,749,301)(283,701,623,482,759,714,371,492,339,
726,539,487,311,713,735,497)(286,757,630,370,772,350,390,548,347,334,
545,739,329,293,729,637)(287,477,619,706,763,490,367,716,343,502,535,
711,315,489,731,721)(291,309,629,734,777,294,365,632,342,782,546,375,
324,349,754,553)(296,337,642,538,767,322,377,744,357,306,533,627,314,
769,742,385)(302,421,638,426,778,434,386,436,358,446,554,431,330,433,
750,441)(303,645,639,650,779,658,387,660,359,670,555,655,331,657,751,
665)(423,722,427,498)(443,666)(479,703,707,483)(499,647,723,651),
( 1,641,594,767,321,740,275,664, 50,428,698,537,122,223,472,101,567,
490,367,715,396, 65,161,308,169,635,510,758, 13,753,611,655,330,432,
278,552, 38,204,696, 89,119,503,451,717,564, 70,385,295,393,625,146,
784,181,747,527,646, 22,445,614,543,318,208,276,104, 35,484,675,705,
116, 83,469,297,561,630,370,771,405,737,163,672,190,439,530,534, 10,
221,612, 95,315,488,255,720, 32, 64,693,285,113,643,454,773,573,742,
387,659,414,429,166,560,178,215,528, 86, 7,501,591,711,312, 68,273,
300, 29,624,678,761,125,755,471,661,582,434,390,547,402,205,164,112,
175,495,507,702, 4, 81,609,291,309,628,258,776, 41,736,695,649,134,
447,474,549,570,210,388, 99,399,485,143,728,172, 75,525,282)
( 2, 25,613,599,319,320,264,272, 48, 36,680,677,117,139,475,465,577,
574,378,379,407,401,149,168,196,187,523,506)( 3,725,592, 67,329,292,
253,636, 34,764,685,733,135,671,470,437,586,546,374,211,416, 93,147,
504,171,719,508, 58, 21,305,589,627,314,768,265,748, 51,652,694,425,
138,559,458,213,584, 98,371,491,395,709,144, 84,189,299,505,618, 6,
781,601,739,331,656,274,440, 54,540,682,201,136,111,455,493,563,714,
368, 71,413,289,141,644,174,775,517,730, 23,669,610,431,334,544,262,
216, 52, 92,679,481,115,727,452, 73,581,294,365,631,398,765,153,756,
191,663,526,422, 26,557,598,207,332, 96,259,496, 31,708,676, 61,133,
307,449,633,566,770,377,743,415,653,162,448,194,551,514,198, 24,109,
595,487,311,712,256, 76, 49,288,673,621,118,783,461,745,583,658,386,
435,418,541,150,224,192,103,511,478)( 5,137,615,459,325,572,266,384,
43,400,681,145,140,195,467,521,562, 14,389,603,403,317,152,280,188,
47,512,674)( 8,697,593,123,335,460,269,580, 42,372,687,397,121,167,
476,185,579,518,366, 15,417,597,151,336,180,271,524, 30)
( 9,165,616,179,327,516,254, 20, 53,596,683,313,124,279,468, 45,568,
686,369,127,419,457,157,588,182,383,519,394)( 11,333,600,263,328, 40,
260,692, 33,120,699,453,129,587,462,381,575,406,373,155,420,177,159,
532,170, 19,529,590)( 12,277,608, 39,316,684,257,132, 55,456,689,565,
126,391,463,409,569,154,392,183,411,513,142, 28,193,607,515,310)
( 16,361,606,235,324,348,270,244, 44,344,690,229,128,363,466,241,576,
350,382,239,408,345,158,252,184,355,522,226)( 17,585,602,375,323,404,
261,160, 56,176,691,509,114, 27,473,605,571,322,376,267,412, 37,148,
700,173,131,531,450)( 18,249,604,347,326,236,268,356, 46,232,688,341,
130,251,464,353,578,238,380,351,410,233,156,364,186,243,520,338)
( 57,637,286,757,629,734,779,657,750,443,670,554,430,222,556, 94,203,
500, 87,707,480, 59,721,284)( 60, 77,301,281,617,622,762,769,741,751,
667,666,442,446,558,542,206,220,108, 91,483,479,703,704)
( 62,777,293,729,639,650,778,433,754,555,654,218,444,110,539,486,199,
724, 88, 63,497,283,701,620)( 66,217,304, 85,623,482,759,713,732, 79,
665,302,421,642,538,766,209,752,107,651,498,423,726,536)
( 69,749,303,645,638,426,782,545,738,219,668,106,427,502,535,710,200,
80,105,287,477,619,706,760)( 72,357,298,225,632,342,774,237,744,359,
662,246,436,362,550,234,212,360,102,231,492,339,718,228)
( 74,245,296,337,634,230,772,349,746,247,660,358,438,250,548,346,214,
248,100,343,494,227,716,340)( 78,441,306,533,626,202,780, 97,735,499,
647,722,424, 82,553,290,197,640, 90,763,489,731,723,648)
(240,352,354,242) ] ],
[ 20, 185913805360142376468989950536810991084772524032000000000000, 0, "4c",
[ [ 729, 1 ], [ 54, 1 ] ], 1, "Sym(28) wreath Sym(2)", [ "A", 28, 2 ],
[ ( 1,719,544,580,145,655,388,353,681,107,186,250,420,473,204,759,743,626,
324,508,254,139,594, 41,421,714, 68,582,481,665,304,343, 9,103,550,
244,168,459,372,773,687,639,184,530,394,137,202, 31,729,710,320,564,
257,671,612,349,429, 98, 74,246,504,469,288,763, 15,635,548,524,142,
123,370, 45,673,723,180,586,397,669,220,339,737, 94,326,228,280,475,
596,769,435,630, 72,526,478,133,286, 35)( 2,131,538, 48,141,711,376,
577,677,667,192,362,401,109,214,227,756,458,316,760,267,643,604,517,
422,126, 62, 50,477,721,292,567, 5,663,556,356,149, 95,382,241,700,
471,176,782,407,641,212,507,730,122,314, 32,253,727,600,573,425,658,
80,358,485,105,298,231, 28,467,540,776,155,627,380,521,674,135,174,
54,393,725,208,563,733,654,332,340,261,111,606,237,448,462, 64,778,
491,637,296,511)( 3,747,542,328,144,263,391,605,685,443,182, 82,414,
501,217,283,735, 10,327,536,272,167,599,377,437,686, 79,190,502,413,
305,203)( 4,271,559,608,153,431,378, 73,694,499,189,306,399, 25,215,
535,748,150,319,368,269,699,611,181,446,406, 81,218,479,749,290,315)
( 6, 47,533,720,152,571,369,661,696,359,177,110,410,249,224,451,736,
766,323,620,268,531,590,125,426, 42, 57,722,488,581,285,651, 24,355,
541,104,158,235,392,465,680,779,183,642,408,529,198,115,734, 38,309,
704,264,587,593,657,444,350, 65,106,494,245,308,455, 8,775,547,636,
156,515,366,129,678, 51,169,726,404,585,201,647,752,346,317, 88,270,
251,616,461,428,770, 71,638,492,525,282,119)( 7, 19,551,552,160,151,
375,381,689,695,191,194,418,417,221,199,731,738,318,312,256,279,615,
601,433,434, 70, 78,498,497,301,287)( 11,383,549,692,163,179,390,409,
697,219,171,754,402,333,200,255,755,598,321,424,266, 83,610,489,441,
294, 63, 22,495,553,300,147)( 12,579,537,664,164,347,373,101,690,247,
196,474,400,781,211,619,744,514,310,116,258, 55,589,713,432,574, 61,
666,500,357,289, 91, 18,243,560,468,148,767,379,633,688,527,170,138,
398, 53,197,703,740,570,313,648,276,363,597, 97,438,238, 84,470,484,
777,295,623, 16,523,534,132,146, 39,365,717,684,583,173,670,416,361,
205, 87,746,234,336,452,260,783,603,629,436,518, 58,134,482, 49,281,
707)( 13,439,546, 76,162,487,385,297,679, 23,187,558,412,165,207,367,
745,682,331,172,278,419,613,209,423,742, 66,330,480,273,307,595)
( 14, 75,554,496,161,291,371, 17,691,555,188,166,403,389,213,675,751,
178,334,396,277,223,591,741,430,322, 60,274,503,609,293,427)
( 20,159,543,384,157,683,387,185,698,415,193,222,395,753,206,311,732,
262,335,592,265,447,602, 69,442,490, 77,302,483, 21,299,539)
( 26,411,557,216,143,739,374,325,676,275,195,614,405,445,210, 59,750,
486,329,284,259, 27,607,545,440,154, 67,386,493,693,303,175)
( 29,701,712,572,565,649,668,360,345, 93,102,242,252,476,456,764,771,
631,632,520,506,114,118, 34)( 30,113,706, 40,561,705,656,584,341,653,
108,354,233,112,466,232,784,463,624,772,519,618,128,510)
( 33,645,724,348,569, 89,662,248,364,457, 92,774,239,644,464,512,758,
127,622, 44,505,702,124,566)( 36,757,715,628,576,509,646,136,342, 37,
85,718,236,588,453,652,780,351,625,100,522,226,140,454)
( 43,617,716,516,562,117,650, 52,337,709, 96,578,229,672,472,344,765,
99,634,240,532,450,120,762)( 46,225,728,460,568,761,659,640,352,513,
86,130,230, 56,449,708,768,575,621,660,528,338,121, 90),
( 1,720,153,432,575,621,661,697,220,340,262,336,449,709, 97,439,547,
637,297,680,752,347,374,326,225,706,769,436,519,619, 45,674,136,343,
10,328,141,712,573,425,659,641,213,676,276,364,458,317, 85,719,545,
441,295,624,745,683,388,354,234,314,757,716,517,423, 43,618,129,679,
24,356,150,320,561,705,657,445,211,620,269,700,472,345, 94,327,533,
721,293,428,743,627,381,690,248,342,766,324,505,703, 41,422,127,623,
17,692,164,348,570,313,645,725,209,424,267,644,465,681,108,355,542,
329,281,708,741,431,379,634,241,678,780,352,514,311, 29,702,125,427,
15,636,157,684,584,341,654,333,197,704,265,448,463,625,101,691,556,
357,290,316,729,711,377,438,239,622,773,688,528,339, 38,310,113,707,
13,440,155,628,577,677,668,361,206,312,253,728,461,429, 99,635,549,
693,304,344,738,319,365,718,237,426,771,632,521,675, 52,338,122,315)
( 2,132,147, 12,580,145,656,585,201,648,277,224,452,261,112,467,541,
105,299,540,749,291,372,746,235,370,774,240,510,759, 44,506,115, 35)
( 3, 48,142,124,567, 5,664,165,208,564,257,672,473,205, 88,271,560,
469,289, 92,747,543,385,298,232,734,767,380,522,227, 34,758,128,511)
( 4,272,168,460,569, 89,663,557,217,284,260,756,459,373,102,243,538,
777,296,512,731, 39,366,130,231, 6,776,156,516,563, 33,646,137,203)
( 7, 20,160,152,572,565,649,669,221,200,256,280,476,457, 93,103,551,
553,301,288,736,739,375,382,242,230,762,772,520,507, 31, 30,114,119)
( 8,748,151,376,578,229,650,781,212,508,255, 56,450,121, 91, 19,552,
161,292,568,733,655,389,214,228,258,784,464,513, 87, 47,534,133,287)
( 9,104,159,544,581,285,652,753,207,368,270,252,454,765,100,523,535,
49,282,120,735, 11,384,158,236,566,761,660,529,199, 32,254,140,455)
( 14, 76,163,180,587,593,658, 81,219,172,279,616,462, 65,107,187,559,
609,294, 64,751,179,391,606,238, 62,779,184,531,591, 42, 58,135,175,
27,608,154, 68,583,173,671,613,210, 60,275,196,475,597, 98, 75,555,
189,307,596,742, 67,387,186,251,594,770, 72,527,171, 55,590,126, 63,
23,188,167,600,574, 61,667,193,223,592,266, 84,471,177,111,607,546,
77,303,176,755,599,378, 74,247,174,783,604,518, 59, 51,170,139,595)
( 16,524,143, 40,562,117,651, 25,216,144,264,588,453,653,109,215,536,
273,308,456,737, 95,383,550,245,286,764,744,515,367, 46,226,118,763)
( 18,244,146,768,576,509,647, 53,198,116,259, 28,468,149, 96,579,537,
665,305,204,732,263,392,466,233, 90,775,548,525,283, 36,730,123,371)
( 21,300,148,740,571,369,662,249,202,760,268,532,451, 37, 86,131,539)
( 22,496,162,488,582,481,666,501,218,480,274,504,470,485,106,495,554,
497,302,484,750,487,386,494,246,482,778,492,526,479, 50,478,134,483)
( 26,412,166,404,586,397,670,417,222,396,278,420,474,401,110,411,558,
413,306,400,754,403,390,410,250,398,782,408,530,395, 54,394,138,399)
( 57,723,181,447,603,630, 73,695,192,363,598,322)( 66,331,169,727,601,
434, 71,639,185,699,612,350)( 69,443,183,643,605,686, 80,359,178,335,
589,714)( 70, 79,191,195,615,602)( 78,499,190,503,610,490)
( 82,415,194,419,614,406)( 83,611,182)(309,701,713,433,435,631,633,
689,696,360,346,318)(321,421,715,629,437,687,640,353,682,332,337,710)
(323,617,717,685,444,351,626,325,673,724,349,430)(330,477,722,489,442,
491,638,493,694,500,358,486)(334,393,726,405,446,407,642,409,698,416,
362,402)(414,502) ] ],
[ 21, 193179168, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,155,705,440, 92,318, 59,600,686,360,672,585, 39,129,734,522,457,758,
265,228,383,638,483,195,303,413)( 2,267,704,384,106,486, 83,292,693,
24,659,725, 48,101,738, 74,460,674,276,648,389, 50,493,755,298,469)
( 3,603,714,356,112,570, 67,124,678,528,653,781, 41,241,747,634,455,
170,275,396,365,162,481,447,288,329)( 4,379,722,496,111,290, 77, 12,
687,724,664,109, 38, 73,740,690,472,646,277, 32,381,750,494,475,282,
273)( 5,435,708,328, 87,598, 70,348,700,584,655,137, 34,521,737,774,
461,226,271,620,371,190,499,419,281,161)( 6,519,709,776, 97,234, 75,
628,679,192,667,417, 29,157,733,438,456,310,255,592,378,358,504,587,
291,133)( 7,183,723,412, 85,150, 61,432,680,332,647,613, 42,353,756,
578,459,114,258,508,373,778,489,251,299,637)( 8,323,703,608, 98,346,
84,572,683,136,650,529, 37,773,741,242,467,618,259,172,387,414,477,
167,285,441)( 9,771,713,244,103,626, 63,180,695,416,645,165, 33,437,
736,326,451,590,266,340,392,582,487,139,286,525)( 10, 71,712,692,108,
654, 81, 40,689,752,662,473, 30,269,732,382,470,478,279,284,385, 22,
491,727,300,105)( 11,127,706,524, 93,766, 69,236,691,640,651,193, 51,
409,729,158,453,422,260,312,367,610,490,363,308,581)( 13,239,719,636,
91,178, 79,404,673,164,649,445, 36,325,731,606,462,338,280,564,375,
134,482,531,289,777)( 14,351,728,580, 95,122, 62,516,681,780,657,249,
47,633,735,186,471,394,253,144,369,442,484,335,283,609)
( 15,715,720,104, 94, 66, 68,684,696,668,669, 53, 45,745,746,466,450,
254,256,368,386,498,503,307,301, 21)( 16,211,716,216,100,206, 72,208,
688,220,660,221, 44,213,744,214,464,198,268,200,380,218,492,223,296,
217)( 17,743,718,468, 86,262, 60,376,694,500,671,305, 49)
( 18,463,702,272, 88,374, 78,488,699,304,665, 25, 43,717,748,102,458,
58,264,676,388,666,501, 55,297,749)( 19,631,707,188,107,402, 57,152,
677,444,652,333, 31,605,742,354,476,562,263,116,370,526,485,783,293,
245)( 20, 99,710, 76, 96,682, 80,656,697, 52,661,753, 46,465,730,270,
452,366,274,480,391,302,497, 27,295,721)( 23,407,701,160, 89,430, 64,
320,675,612,658,361, 56,577,739,130,454,506,261,760,377,246,495,643,
287,189)( 26,547,726,552,110,542, 82,544,698,556,670,557, 54,549,754,
550,474,534,278,536,390,554,502,559,306,553)( 28,575,711,132, 90,514,
65,768,685,248,663,641, 35,185,751,410,449,142,257,424,372,330,479,
615,294,357)(113,146,509,429,764,321,227,607,630,343,196,583,403)
(115,594,518,345,784,573,235,131,622,511,177,779,405,225,159,621,427,
176,331,395,589,154,341,448,568,319)(117,426,512,317,759,601,238,355,
644,567,179,135,398,505,149,761,433,232,327,619,595,182,359,420,561,
151)(118,510,513,765,769,237,243,635,623,175,191,415,393,141,145,425,
428,316,311,591,602,350,364,588,571,123)(119,174,527,401,757,153,229,
439,624,315,171,611,406,337,168,565,431,120,314,507,597,770,349,252,
579,627)(121,762,517,233,775,629,231,187,639,399,169,163,397,421,148,
313,423,596,322,339,616,574,347,140,566,515)(125,230,523,625,763,181,
247,411,617,147,173,443,400,309,143,593,434,344,336,563,599,126,342,
532,569,767)(128,202,520,205,772,209,240,215,632,203,184,219,408,197,
156,201,436,204,324,199,604,210,352,224,576,207)(138,538,530,541,782,
545,250,551,642,539,194,555,418,533,166,537,446,540,334,535,614,546,
362,560,586,543)(222,548),
( 1,522,156,402,182,344, 90, 23,523,160,418,172,341, 85, 18,520,150,
406,176,342,107, 19,524,166,396,173,337,102, 16,514,154,400,174,359,
103, 20,530,144,397,169,354,100, 10,518,148,398,191,355,104, 26,508,
145,393,186,352, 94, 14,512,146,415,187,356,110, 4,509,141,410,184,
346, 98, 8,510,163,411,188,362, 88, 5,505,158,408,178,350, 92, 6,
527,159,412,194,340, 89)( 2,515,164,399,180,353,112, 13,526,155,395,
189,345, 86, 11,528,147,404,185,364, 97, 22,519,143,413,177,338, 95,
24,511,152,409,196,349,106, 15,507,161,401,170,347,108, 7,516,157,
420,181,358, 99, 3,525,149,394,179,360, 91, 12,521,168,405,190,351,
87, 21,513,142,403,192,343, 96, 17,532,153,414,183,339,105, 9,506,
151,416,175,348,101, 28,517,162,407,171,357, 93)( 25,529,165,417,193,
361,109)( 27,531,167,419,195,363,111)( 29,606, 72,486,210,120,650,
51,607, 76,502,200,117,645, 46,604, 66,490,204,118,667, 47,608, 82,
480,201,113,662, 44,598, 70,484,202,135,663, 48,614, 60,481,197,130,
660, 38,602, 64,482,219,131,664, 54,592, 61,477,214,128,654, 42,596,
62,499,215,132,670, 32,593, 57,494,212,122,658, 36,594, 79,495,216,
138,648, 33,589, 74,492,206,126,652, 34,611, 75,496,222,116,649)
( 30,599, 80,483,208,129,672, 41,610, 71,479,217,121,646, 39,612, 63,
488,213,140,657, 50,603, 59,497,205,114,655, 52,595, 68,493,224,125,
666, 43,591, 77,485,198,123,668, 35,600, 73,504,209,134,659, 31,609,
65,478,207,136,651, 40,605, 84,489,218,127,647, 49,597, 58,487,220,
119,656, 45,616, 69,498,211,115,665, 37,590, 67,500,203,124,661, 56,
601, 78,491,199,133,653)( 53,613, 81,501,221,137,669)
( 55,615, 83,503,223,139,671)(225,718,324,458,434,624,734,247,719,328,
474,424,621,729,242,716,318,462,428,622,751,243,720,334,452,425,617,
746,240,710,322,456,426,639,747,244,726,312,453,421,634,744,234,714,
316,454,443,635,748,250,704,313,449,438,632,738,238,708,314,471,439,
636,754,228,705,309,466,436,626,742,232,706,331,467,440,642,732,229,
701,326,464,430,630,736,230,723,327,468,446,620,733)(226,711,332,455,
432,633,756,237,722,323,451,441,625,730,235,724,315,460,437,644,741,
246,715,311,469,429,618,739,248,707,320,465,448,629,750,239,703,329,
457,422,627,752,231,712,325,476,433,638,743,227,721,317,450,431,640,
735,236,717,336,461,442,631,731,245,709,310,459,444,623,740,241,728,
321,470,435,619,749,233,702,319,472,427,628,745,252,713,330,463,423,
637,737)(249,725,333,473,445,641,753)(251,727,335,475,447,643,755)
(253,382,576,542,686,288,762,275,383,580,558,676,285,757,270,380,570,
546,680,286,779,271,384,586,536,677,281,774,268,374,574,540,678,303,
775,272,390,564,537,673,298,772,262,378,568,538,695,299,776,278,368,
565,533,690,296,766,266,372,566,555,691,300,782,256,369,561,550,688,
290,770,260,370,583,551,692,306,760,257,365,578,548,682,294,764,258,
387,579,552,698,284,761)(254,375,584,539,684,297,784,265,386,575,535,
693,289,758,263,388,567,544,689,308,769,274,379,563,553,681,282,767,
276,371,572,549,700,293,778,267,367,581,541,674,291,780,259,376,577,
560,685,302,771,255,385,569,534,683,304,763,264,381,588,545,694,295,
759,273,373,562,543,696,287,768,269,392,573,554,687,283,777,261,366,
571,556,679,292,773,280,377,582,547,675,301,765)(277,389,585,557,697,
305,781)(279,391,587,559,699,307,783) ] ],
[ 22, 386358336, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2:2^2",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,319,340,557,147,614,672,723,370,771,190,216,521,229,111, 68,634,752,
485,115,271,408, 42,581,674,461,428,290)( 2,321,344,542,141,599,648,
725,371,782,196,219,510,239,106, 76,633,733,503,124,270,416, 37,563,
691,464,434,301)( 3,327,352,546,161,590,657,708,374,757,179,200,529,
231,110, 84,639,734,491,134,272,409, 33,587,684,466,444,289)
( 4,333,343,558,168,611,650,715,386,776,185,201,531,236,102, 80,625,
731,495,128,266,413, 30,573,680,458,421,291)( 5,335,348,550,164,597,
647,719,380,770,189,198,517,232, 94, 57,627,732,501,119,278,420, 51,
566,687,470,440,297)( 6,323,358,552,157,593,671,712,382,780,177,199,
523,240, 98, 77,618,741,484,122,253,403, 32,585,679,474,448,303)
( 7,334,364,555,146,603,666,720,381,761,195,208,522,248, 93, 59,635,
744,490,133,254,405, 36,570,673,459,424,305)( 8,318,337,543,144,613,
651,726,392,779,174,211,526,244,101, 61,643,740,494,136,261,395, 47,
576,686,469,422,293)( 9,311,355,548,154,609,646,713,372,766,169,207,
508,249, 91, 82,644,751,482,127,274,412, 45,565,699,460,438,304)
( 10,309,347,536,165,595,670,728,387,762,183,218,524,241, 89, 83,628,
746,500,121,255,411, 44,574,693,450,433,288)( 11,312,361,539,166,616,
667,706,379,778,188,213,509,251, 96, 74,640,737,479,131,268,406, 49,
562,685,456,430,281)( 12,326,360,541,143,607,660,714,385,758,181,204,
514,225, 95, 60,641,735,502,140,275,398, 43,582,692,465,425,307)
( 13,316,346,533,151,592,669,707,390,784,191,202,519,246,104, 73,621,
755,488,130,276,401, 31,579,688,462,441,282)( 14,329,338,545,148,598,
645,711,368,781,175,222,532,247, 90, 71,638,748,493,117,279,404, 46,
584,681,451,439,296)( 15,330,356,549,145,615,656,718,388,765,171,215,
520,238,105, 58,629,736,486,113,263,396, 53,567,698,476,443,286)
( 16,322,357,534,153,596,654,701,375,760,193,203,530,252,107, 62,631,
750,496,129,257,419, 40,578,696,457,423,299)( 17,313,363,544,158,612,
653,703,383,772,182,217,506,237, 92, 66,617,739,480,137,259,418, 56,
583,678,463,442,300)( 18,332,345,535,159,604,658,721,366,769,176,206,
505,235, 88, 81,623,754,504,135,258,407, 50,580,689,453,447,292)
( 19,324,350,553,142,601,652,710,365,767,172,221,511,250,112, 79,622,
743,498,132,269,397, 55,572,690,472,429,283)( 20,325,341,559,152,606,
668,709,367,775,184,210,525,226, 97, 64,626,729,487,116,277,399, 54,
588,695,454,435,302)( 21,310,349,540,150,589,655,704,389,763,194,224,
527,230, 99, 78,636,745,481,139,264,410, 52,569,675,467,436,294)
( 22,328,353,537,167,600,662,724,373,759,187,212,518,245, 86, 69,624,
738,477,123,256,417, 35,586,700,471,426,295)( 23,314,351,554,160,605,
649,727,376,774,192,205,507,243,100, 70,637,730,489,120,262,393, 39,
564,697,455,446,308)( 24,317,339,551,156,602,665,702,377,764,178,197,
515,228,109, 63,642,756,499,118,267,414, 48,577,677,475,432,298)
( 25,315,362,560,163,594,659,722,384,773,173,223,516,242,108, 65,619,
747,492,126,273,394, 41,568,682,449,431,284)( 26,336,359,538,155,610,
664,717,369,783,180,214,528,233, 87, 75,632,742,497,114,265,400, 38,
561,683,452,445,287)( 27,320,354,556,149,591,663,716,378,777,170,209,
512,234, 85, 67,620,753,483,138,280,415, 34,575,694,468,437,285)
( 28,331,342,547,162,608,661,705,391,768,186,220,513,227,103, 72,630,
749,478,125,260,402, 29,571,676,473,427,306),
( 1,462,522,752, 87,583,341,645,457,634,740,535,581,173,655,233,641,
40,536,273,184, 11,238,529, 52, 88,275,352)( 2,154,512,696, 91,135,
353,701,463,774,755,395,566,313,664,289,626,376,551,217,190,487,250,
613, 56, 60,265,436)( 3,574,509,668, 93,639,348,533,469,186,739,227,
585, 33,648,261,632, 12,546,525,192, 95,247,361, 29,452,270,744)
( 4,266,520, 24, 98,527,360, 85,471,354,729,451,578,733,647,569,621,
656,541,637,180,543,245,193, 39,228,277, 44)( 5,658,513,640, 96,555,
357,169,459,242,753, 31,564,257,660, 9,630,516,556,105,191,347,225,
473, 46,732,255,576)( 6,322,524,304, 94,387,355,197,470,494,754,591,
588, 61,657,429,618,152,540,693,175,123,241,725, 43,760,279,408)
( 7,126,521,724, 99,779,363,393,454,326,748,283,570,369,663,205,638,
488,558,609,196, 67,237,445, 30,144,260,688)( 8,686,511,136,101,723,
351,757,475,410,734,311,580,285,654,373,635,208,554,497,194,599,252,
81, 41,424,254,156)( 10,378,523,220,106,499,362,589,476, 74,741,423,
562,145,652,681,623,124,549,721,183,767,251,417, 34,312,272,296)
( 13,434,506,164, 92,695,343,113,465,718,743,759,587,397,650,317,636,
292,542,385,187,207,246,501, 54,592,280, 72)( 14,518,528,108,107,359,
337,449,466,746,731,563,565,649,653,625,628,544,553,189,179,235,249,
53, 32,256,268, 16)( 15,770,531,416, 90,331,356,281,458,382,747,199,
582,481,670,597,644, 68,545,441,170,151,232,697, 35,116,269,716)
( 17,714,519,780,111,415,342,309,468,298,738,367,579,201,666,485,642,
600,560, 77,181,431,226,165, 36,676,259,128)( 18,742,507,584, 89,667,
345,617,460,550,749,171,571,229,669, 37,620,264,548, 21,182,515,248,
109, 51,340,253,464)( 19,210,526,500,110,611,364, 57,461,438,730,143,
568,677,651,121,633,712,547,777,195,403,230,333, 48,284,262,380)
( 20,294,514,388,103,219,358,477,474,606,756, 59,573,425,646,149,624,
684,539,133,185,711,239,781, 55,396,258,324)( 22,490,530,612,112, 79,
349,421,450,158,736,675,567,117,661,709,631,768,559,413,174,319,244,
305, 38,368,271,212)( 23,350,505,472,102,751,339,561,453,662,737,619,
572,537,665,177,627,236,557, 49,172,263,240, 25, 42,508,276,100)
( 26,602,532, 80, 97,443,338,141,456,690,735,115,577,705,659,765,643,
404,538,329,188,291,234,389, 47,200,274,492)( 27,406,510,332,104,303,
346,365,467,214,750,479,586,593,672, 65,629,432,534,161,176,683,231,
137, 45,704,267,772)( 28, 70,517,444, 86,163,344,673,455,130,745,703,
575,761,671,401,622,320,552,301,178,375,243,221, 50,480,278,604)
( 58,153,428,674,147,120,689,707,127,773,727,407,762,335,412,286,318,
384,299,206,386,495,222,610,504, 82,601,448)( 62,321,440,282,150,372,
691,203,134,493,726,603,784, 83,405,426,310,160,288,682,371,131,213,
722,491,782,615,420)( 63,125,437,702,155,764,699,399,118,325,720,295,
766,391,411,202,330,496,306,598,392, 75,209,442,478,166,596,700)
( 64,685,427,114,157,708,687,763,139,409,706,323,776,307,402,370,327,
216,302,486,390,607,224, 78,489,446,590,168)( 66,377,439,198,162,484,
698,595,140, 73,713,435,758,167,400,678,315,132,297,710,379,775,223,
414,482,334,608,308)( 69,433,422,142,148,680,679,119,129,717,715,771,
783,419,398,314,328,300,290,374,383,215,218,498,502,614,616, 84)
( 71,769,447,394,146,316,692,287,122,381,719,211,778,503,418,594,336,
76,293,430,366,159,204,694,483,138,605,728) ] ],
[ 23, 386358336, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.4",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,756,128,169,784,576,617, 28,744,113,196,772,561,644, 16,729,140,184,
757,588,632)( 2,736,122,170,764,570,618, 8,738,114,176,766,562,624,
10,730,120,178,758,568,626)( 3,739,133,171,767,581,619, 11,749,115,
179,777,563,627, 21,731,123,189,759,571,637)( 4,734,124,172,762,572,
620, 6,740,116,174,768,564,622, 12,732,118,180,760,566,628)
( 5,751,136,173,779,584,621, 23,752,117,191,780,565,639, 24,733,135,
192,761,583,640)( 7,735,119,175,763,567,623)( 9,746,131,177,774,
579,625, 18,747,121,186,775,569,634, 19,737,130,187,765,578,635)
( 13,754,126,181,782,574,629, 26,742,125,194,770,573,642, 14,741,138,
182,769,586,630)( 15,750,129,183,778,577,631, 22,745,127,190,773,575,
638, 17,743,134,185,771,582,633)( 20,755,137,188,783,585,636, 27,753,
132,195,781,580,643, 25,748,139,193,776,587,641)( 29,700,240,449,504,
156,533, 56,688,225,476,492,141,560, 44,673,252,464,477,168,548)
( 30,680,234,450,484,150,534, 36,682,226,456,486,142,540, 38,674,232,
458,478,148,542)( 31,683,245,451,487,161,535, 39,693,227,459,497,143,
543, 49,675,235,469,479,151,553)( 32,678,236,452,482,152,536, 34,684,
228,454,488,144,538, 40,676,230,460,480,146,544)( 33,695,248,453,499,
164,537, 51,696,229,471,500,145,555, 52,677,247,472,481,163,556)
( 35,679,231,455,483,147,539)( 37,690,243,457,494,159,541, 46,691,233,
466,495,149,550, 47,681,242,467,485,158,551)( 41,698,238,461,502,154,
545, 54,686,237,474,490,153,558, 42,685,250,462,489,166,546)
( 43,694,241,463,498,157,547, 50,689,239,470,493,155,554, 45,687,246,
465,491,162,549)( 48,699,249,468,503,165,552, 55,697,244,475,501,160,
559, 53,692,251,473,496,167,557)( 57,728,212,589,280,296,505, 84,716,
197,616,268,281,532, 72,701,224,604,253,308,520)( 58,708,206,590,260,
290,506, 64,710,198,596,262,282,512, 66,702,204,598,254,288,514)
( 59,711,217,591,263,301,507, 67,721,199,599,273,283,515, 77,703,207,
609,255,291,525)( 60,706,208,592,258,292,508, 62,712,200,594,264,284,
510, 68,704,202,600,256,286,516)( 61,723,220,593,275,304,509, 79,724,
201,611,276,285,527, 80,705,219,612,257,303,528)( 63,707,203,595,259,
287,511)( 65,718,215,597,270,299,513, 74,719,205,606,271,289,522, 75,
709,214,607,261,298,523)( 69,726,210,601,278,294,517, 82,714,209,614,
266,293,530, 70,713,222,602,265,306,518)( 71,722,213,603,274,297,519,
78,717,211,610,269,295,526, 73,715,218,605,267,302,521)
( 76,727,221,608,279,305,524, 83,725,216,615,277,300,531, 81,720,223,
613,272,307,529)( 85,420,380,337,672,436,309,112,408,365,364,660,421,
336,100,393,392,352,645,448,324)( 86,400,374,338,652,430,310, 92,402,
366,344,654,422,316, 94,394,372,346,646,428,318)( 87,403,385,339,655,
441,311, 95,413,367,347,665,423,319,105,395,375,357,647,431,329)
( 88,398,376,340,650,432,312, 90,404,368,342,656,424,314, 96,396,370,
348,648,426,320)( 89,415,388,341,667,444,313,107,416,369,359,668,425,
331,108,397,387,360,649,443,332)( 91,399,371,343,651,427,315)
( 93,410,383,345,662,439,317,102,411,373,354,663,429,326,103,401,382,
355,653,438,327)( 97,418,378,349,670,434,321,110,406,377,362,658,433,
334, 98,405,390,350,657,446,322)( 99,414,381,351,666,437,323,106,409,
379,358,661,435,330,101,407,386,353,659,442,325)(104,419,389,356,671,
445,328,111,417,384,363,669,440,335,109,412,391,361,664,447,333),
( 1,566,255, 13,398,270,349,411,662,345,607,671,737,616,223,733,448,
208,229,435,712,241,127,716,493,122, 44,490,542, 52,154,553,696,147,
329,695, 63,319,471, 81,179,470,529,172,106,512,284, 86,764,281,562,
759)( 2,762,253,573,395, 18,342,271,657,401,606,363,747,672,205,593,
447,740,252,211,705,437,124,240,491,710, 45,126,548,500,150, 49,686,
539,332,163, 77,683,455,333,191, 78,515,452,109,176,302,506,760, 85,
568,283)( 3, 6,258,265,405,410,354,355,663,653,597,615,755,756,224,
201,425,432,236,239,715,717,129,128,492,486, 38, 42,546,556,164,161,
693,679,315,331, 79, 67,459,473,193,190,526,508, 88, 92,288,282,758,
757,561,563)( 4, 90,260,293,394,774,337,579,647, 9,594,279,741,420,
214,341,439,656,233,603,727,745,140,212,481,430, 40,238,547,724,157,
133,688,483,318, 51, 70,543,472,165,189,694,511,312,107, 64,291,450,
781,169,582,507)( 5,426,264,237,407,718,353,131,660,485,598, 55,742,
560,220,145,441,684,231,323,723, 73,123,464,501,178, 50,518,536,108,
148,301,674,763,309,583, 59, 11,454,277,181,414,522,340,103,652,289,
590,783,729,588,199)( 7,314,275, 69,403,466,361,187,666,513,592,111,
736,308,198,761,421,572,227, 15,706,269,125,408,494,346, 47,658,541,
612,167,749,700,203,313,443, 68,235,463,725,185,134,520,480, 94, 36,
294,534,780,141,581,675)( 8,286,254,769,393,578,339, 19,650,261,601,
419,746,364,215,649,429,600,251,743,728,213,117,436,488,234, 43,714,
549,136,156,497,682, 35,322,555, 80,151,469,697,175,330,527, 60, 95,
456,305,170,778,505,564, 87)( 10, 34,266,545,416,158,357,691,651,317,
611, 83,739,476,221,173,442,516,228, 99,708,297,114,772,477,570, 31,
14,538,276,153,413,690,343,327,667, 65,599,475,753,196,218,509,424,
96,232,295,702,773,113,576,479)( 12,230,267,713,409,130,352,495,654,
37,602,559,752,168,217,677,427,320,247, 71,711,465,137,184,498,514,
32, 98,540,304,142,777,673,567,311, 23, 62,263,461,417,186,358,523,
648, 93,596,307,730,784,197,565,423)( 16,482,262, 41,406,550,360,159,
665,681,595,335,751, 84,207,453,445,180,246,519,704,101,120,296,478,
766, 29,574,535, 24,146,273,685,399,326,359, 75,655,457,613,195,750,
532,200, 89,428,292,226,771,701,577,115)( 17,118,268,489,402, 46,350,
551,668,149,609,699,735,336,219, 61,431,460,249,183,722,521,116,100,
484,290, 30,770,533,584,143, 21,678,259,321,415, 74,347,467,669,177,
610,531,732,112,204,285,422,768,225,575,703)( 20,622,272,629,412,634,
356,635,664,625,608,643,748,644,216,621,440,628,244,631,720,633,132,
632,496,626, 48,630,552,640,160,637,692,623,328,639, 76,627,468,641,
188,638,524,620,104,624,300,618,776,617,580,619)( 22,510,256, 97,400,
298,338,775,645,569,591, 27,734,280,209,397,438,348,243,659,709,605,
139,744,504,206, 33,434,544,248,155,721,689,119,324,499, 66, 39,462,
557,192,162,525,676, 91,316,303, 58,767,449,585,171)( 25,174,274,517,
396,102,344,299,646,765,589,587,731, 28,202,257,433,404,242,351,719,
661,121,604,503,738, 56,210,537,444,152,245,687,707,325,135, 72,487,
458, 53,182,554,528,144,105,680,287,310,779, 57,571,451)
( 26,370,278,377,418,382,362,383,670,373,614,391,754,392,222,369,446,
376,250,379,726,381,138,380,502,374, 54,378,558,388,166,385,698,371,
334,387, 82,375,474,389,194,386,530,368,110,372,306,366,782,365,586,
367)(384,642) ] ],
[ 24, 579537504, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.Sym(3)",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,686, 35,512,720,252, 86, 59,443)( 2,675, 51,505,714,231, 92, 76,448)
( 3,695, 29,518,707,232,104, 84,422)( 4,683, 37,530,706,243, 89, 83,
444)( 5,699, 52,508,711,233,110, 62,439)( 6,691, 33,531,724,228,
95, 65,446)( 7,680, 48,532,702,227,107, 57,434)( 8,692, 56,506,
703,247, 85, 70,427)( 9,698, 34,523,705,251,108, 60,431)
( 10,688, 50,519,712,242,109, 69,441)( 11,681, 54,510,719,229,111, 80,
424)( 12,690, 53,517,721,234,100, 78,435)( 13,693, 38,520,722,239,
96, 74,445)( 14,679, 36,524,728,226, 87, 79,421)( 15,684, 46,529,
713,245, 94, 72,442)( 16,694, 43,516,718,249, 97, 77,430)
( 17,689, 45,521,717,241,101, 73,437)( 18,697, 41,525,710,240,106, 71,
432)( 19,677, 55,528,704,235, 93, 82,426)( 20,700, 30,507,723,225,
98, 63,428)( 21,682, 44,526,715,236,102, 81,433)( 22,687, 40,522,
725,237,105, 66,436)( 23,673, 42,511,708,244,112, 58,423)
( 24,676, 39,513,726,230,103, 61,447)( 25,685, 49,514,716,246, 99, 68,
438)( 26,678, 47,509,727,248, 88, 67,429)( 27,696, 32,515,709,250,
90, 75,425)( 28,674, 31,527,701,238, 91, 64,440)(113,350,483,176,
608,280,646,283,163)(114,339,499,169,602,259,652,300,168)
(115,359,477,182,595,260,664,308,142)(116,347,485,194,594,271,649,307,
164)(117,363,500,172,599,261,670,286,159)(118,355,481,195,612,256,
655,289,166)(119,344,496,196,590,255,667,281,154)(120,356,504,170,
591,275,645,294,147)(121,362,482,187,593,279,668,284,151)
(122,352,498,183,600,270,669,293,161)(123,345,502,174,607,257,671,304,
144)(124,354,501,181,609,262,660,302,155)(125,357,486,184,610,267,
656,298,165)(126,343,484,188,616,254,647,303,141)(127,348,494,193,
601,273,654,296,162)(128,358,491,180,606,277,657,301,150)
(129,353,493,185,605,269,661,297,157)(130,361,489,189,598,268,666,295,
152)(131,341,503,192,592,263,653,306,146)(132,364,478,171,611,253,
658,287,148)(133,346,492,190,603,264,662,305,153)(134,351,488,186,
613,265,665,290,156)(135,337,490,175,596,272,672,282,143)
(136,340,487,177,614,258,663,285,167)(137,349,497,178,604,274,659,292,
158)(138,342,495,173,615,276,648,291,149)(139,360,480,179,597,278,
650,299,145)(140,338,479,191,589,266,651,288,160)(197,406,455,764,
552,392,310,563,751)(198,395,471,757,546,371,316,580,756)
(199,415,449,770,539,372,328,588,730)(200,403,457,782,538,383,313,587,
752)(201,419,472,760,543,373,334,566,747)(202,411,453,783,556,368,
319,569,754)(203,400,468,784,534,367,331,561,742)(204,412,476,758,
535,387,309,574,735)(205,418,454,775,537,391,332,564,739)
(206,408,470,771,544,382,333,573,749)(207,401,474,762,551,369,335,584,
732)(208,410,473,769,553,374,324,582,743)(209,413,458,772,554,379,
320,578,753)(210,399,456,776,560,366,311,583,729)(211,404,466,781,
545,385,318,576,750)(212,414,463,768,550,389,321,581,738)
(213,409,465,773,549,381,325,577,745)(214,417,461,777,542,380,330,575,
740)(215,397,475,780,536,375,317,586,734)(216,420,450,759,555,365,
322,567,736)(217,402,464,778,547,376,326,585,741)(218,407,460,774,
557,377,329,570,744)(219,393,462,763,540,384,336,562,731)
(220,396,459,765,558,370,327,565,755)(221,405,469,766,548,386,323,572,
746)(222,398,467,761,559,388,312,571,737)(223,416,452,767,541,390,
314,579,733)(224,394,451,779,533,378,315,568,748)(617,630,623,624,
636,644,618,619,639)(620,627,625,642,622,635,621,643,640)
(626,632,638,631,628,634,641,629,637),
( 1,120,289,343,691,413, 58,480,436,742,379,722,235,583,202,524,458,
89,558,277,606,657, 31,157,196,768)( 2,484,296,735,687,721, 67,564,
426,518,374,106,250,275,214,664,451,145,560,781,589,125, 37,353,187,
404)( 3,148,308,763,673,133, 65,340,439,406,366,498,240,751,211,720,
459,565,538,529,598, 97, 54,269,186,656)( 4,428,294,371,694,245, 79,
200,440,462,369,554,249,611,209, 48,465,173,544, 25,596,293, 35,689,
189, 68)( 5,540,305,595,685, 49, 73,172,432, 14,372,302,231,695,217,
76,452,425,546,389,610,237, 51,213,188,460)( 6,512,290, 91,698,273,
74,648,423,154,392,778,225,135,205,356,467,397,534,501,604,741, 43,
717,179,572)( 7,680,301, 63,676,441, 70,368,442,238,387,218,244,471,
201,552,473,593,545, 53,605,181, 40, 17,176,292)( 8,288,287,679,693,
77, 60,424,434,378,386,246,247,219,216,468,453,537,557,613,601, 41,
45,185,180, 12)( 9,344,299,399,674,497, 72,732,435,714,375,582,230,
527,206,104,474,257,550,669,591,153, 56,773,169,124)( 10, 92,306,259,
690,665, 59,144,448,770,365,134,233,359,215,412,450,481,548,753,603,
713, 39,577,174,516)( 11,568,286,511,682,105, 82,256,438,658,367,162,
252,779,197,132,457,341,551,417,590,489, 44,745,183,712)
( 13, 36,297,175,684, 21, 64,284,427,686,385, 78,228,443,210,384,470,
229,555,221,608,461, 33,549,193,600)( 15,708,291,567,678,525, 66, 88,
446,266,382,666,227,163,224,776,449,117,541,361,607,405, 30,493,184,
740)( 16,736,295,707,683,581, 62,508,430, 98,390,274,242,667,199,160,
476,761,533,137,597,349, 47,409,170,488)( 18,652,283,147,700,777, 57,
116,429,350,383,414,226,499,212,748,463,705,543,585,594,517, 38,101,
194,264)( 19,400,282,483,688,749, 71,704,431,574,370,526,234,107,222,
272,466,649,535,165,616,769, 29,129,177,348)( 20,456,285,539,697,609,
69, 32,437,182,376, 22,232,303,203,692,469, 61,536,445,602,377, 50,
241,191,208)( 23,204,300,455,677,553, 81,592,433, 42,381,190,236)
( 24,316,304,315,696,329, 80,312,444,322,388,330,248,331,220,328,472,
313,556,333,612,321, 52,325,192,320)( 26,260,298,651,675,161, 84,760,
421,126,373,358,243,415,198,496,464,733,547,725,599,573, 34,521,178,
96)( 27,624,307,623,699,637, 83,620,447,630,391,638,251,639,223,636,
475,621,559,641,615,629, 55,633,195,628)( 28,764,281,119,681,357, 75,
396,422,490,380,750,239,723,207,580,454,509,542,109,614,265, 46,661,
171,152)( 85,138,261,354,663,395,142,504,772,729,127,709,347,579,398,
506,486,100,754,267,718,655,563,146,532,766)( 86,502,268,746,659,703,
151,588,762,505,122, 93,362,271,410,646,479,156,756,771,701,123,569,
342,523,402)( 87,166,280,774,645,115,149,364,775,393,114,485,352,747,
407,702,487,576,734,519,710, 95,586,258,522,654)( 90,530,262,102,670,
255,158,672,759,141,140,765,337,131,401,338,495,408,730,491,716,739,
575,706,515,570)( 94,110,278,270,662,647,143,168,784,757,113,121,345,
355,411,394,478,492,744,743,715,711,571,566,510,514)( 99,726,263,578,
650,507,150,112,782,253,130,653,339,159,420,758,477,128,737,351,719,
403,562,482,520,738)(103,418,254,494,660,731,155,728,767,561,118,513,
346)(108,334,276,326,668,311,164,336,780,309,136,317,360,327,416,310,
500,324,752,323,724,319,584,314,528,318)(111,642,279,634,671,619,167,
644,783,617,139,625,363,635,419,618,503,632,755,631,727,627,587,622,
531,626)(335,640) ] ],
[ 25, 579537504, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.6",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,576,306, 42,596,482,262,152,455,693,557, 67,765,117,251,107,730,532)
( 2,520,281,574,614, 34,260,488,458,161,539,683,781, 61,233,135,755,
112)( 3,716,297,350,601,650,276,208,452,413,547,375,776,425,243,191,
750,644)( 4,408,295,378,608,426,271,180,470,637,535,711,773,341,237,
667,752,224)( 5,240,303,742,616, 6,268,292,462,609,538,263,768,453,
245,555,739,784)( 7,688,305, 70,597,118,279, 96,450,525,533,571,782,
33,232,499,738,168)( 8,492,290,154,595,678,277, 68,457,133,559, 95,
758,509,225,583,754, 56)( 9,128,307, 98,590,510,253,572,474, 49,540,
487,766,145,231,695,753, 84)( 10,156,287,686,613, 62,261,124,475,105,
534,515,757,565,250, 51,736,504)( 11,772,285,238,611,734,280, 12,464,
301,546,599,762,257,236,471,749,560)( 13,660,304,210,592,398,267,376,
468,441,551,179,778,621,227,723,745,364)( 14,604,286,266,600,454,273,
544,459,777,537,235,779,733,252, 23,744,308)( 15,380,300,434,607,174,
274,628,451,721,549,347,769,649,248,219,732,420)( 16,296,294,602,594,
258,264,460,469,553,543,767,761,229,247,751,756, 28)( 17,352,293,658,
612,202,256,404,463,385,552,431,775,173,246,639,731,728)
( 18,324,298,322,606,314,270,320,466,329,550,319,774,313,242,331,746,
336)( 19,184,302,630,591,706,269,348,461,665,556,207,760,397,239,387,
748,448)( 20,436,299,182,610,622,255,712,465,357,545,655,780,201,228,
415,743,392)( 21,548,291,770,593,230,275,740,476)( 22,632,283,714,
605,342,265,656,472,217,536,403,771,369,244,443,747,196)
( 24,212,284,406,603,370,272,432,467,189,554,627,759,705,241,359,741,
672)( 25, 72,289,126,615, 90,254,516,449,581,558, 39,764,481,234,163,
735,700)( 26, 44,288,490,598,146,259,684,473, 77,541,123,783, 89,226,
527,729,588)( 27,100,282,518,589,566,278, 40,456,497,542,151,763,677,
249, 79,737,140)( 29,568,502, 38,148,483,682,165, 63,681,137, 83, 93,
114,531, 85,562,530)( 30,512,477,570,166, 35,680,501, 66,149,119,699,
109, 58,513,113,587,110)( 31,708,493,346,153,651,696,221, 60,401,127,
391,104,422,523,169,582,642)( 32,400,491,374,160,427,691,193, 78,625,
115,727,101,338,517,645,584,222)( 36,484,486,150,147,679,697, 81, 65,
121,139,111, 86,506,505,561,586, 54)( 37,120,503, 94,142,511,673,585,
82)( 41,652,500,206,144,399,687,389, 76,429,131,195,106,618,507,701,
577,362)( 43,372,496,430,159,175,694,641, 59,709,129,363, 97,646,528,
197,564,418)( 45,344,489,654,164,203,676,417, 71,373,132,447,103,170,
526,617,563,726)( 46,316,494,318,158,315,690,333, 74,317,130,335,102,
310,522,309,578,334)( 47,176,498,626,143,707,689,361, 69,653,136,223,
88,394,519,365,580,446)( 48,428,495,178,162,623,675,725, 73,345,125,
671,108,198,508,393,575,390)( 50,624,479,710,157,343,685,669, 80,205,
116,419, 99,366,524,421,579,194)( 52,204,480,402,155,371,692,445, 75,
177,134,643, 87,702,521,337,573,670)( 53, 64,485,122,167, 91,674,529,
57,569,138, 55, 92,478,514,141,567,698)(171,722,633,339,713,661,360,
209,648,416,211,368,412,435,383,188,442,635)(172,414,631,367,720,437,
355,181,666,640,199,704,409,351,377,664,444,215)(183,386,636,423,719,
185,358,629,647,724,213,340,405,659,388,216,424,411)(186,330,634,311,
718,325,354,321,662,332,214,312,410,323,382,328,438,327)
(187,190,638,619,703,717,353,349,657,668,220,200,396,407,379,384,440,
439)(192,218,620,395,715,381,356,433,663),
( 1,269,290,144,548,191,472,127,209,428,697,395, 77,729,258, 10,157,
296,172,556,135,461,435,221,400,693,731, 62)( 2,325,299,228,559,499,
453,771,210, 36,684,367, 63,337,280,654,160,604,179,640,138,517,429,
725,414,105,746,566)( 3, 73,281,256,542,163,464,183,220,120,685,423,
81,393,273,738,146, 16,185,304,116,545,443,473,407,217,736,678)
( 4,549,303,452,547,219,456,687,199, 64,673,255, 66,141,268,178,164,
128,181,444,137,405,441,753,398, 21,745,286)( 5,773,294, 32,544,387,
455,351,224,652,692,591, 67,617,278,514,149,716,190,108,130,573,422,
333,411,245,755,482)( 6, 17,297,284,536,555,471,463,211,204,680,675,
59, 57,253,262,150,156,184,192,136,125,433,445,417,413,749,734)
( 7,353,308,648,552,611,459,631,222,512,681,703, 78, 85,270,570,142,
324,187,248,139,489,425,781,406, 49,740,370)( 8,689,283, 60,533,275,
458,155,212,176,696,115, 69,421,277,402,161,744,174, 24,129,293,424,
557,415,469,743,202)( 9,717,302, 88,550,583,450,323,215,232,699,479,
61,757,266, 38,152,380,175,360,140,657,440,613,403,637,754,510)
( 11,633,306,508,541,723,470, 99,214,568,674,311, 75,225,279,486,145,
772,182, 52,124,377,427,361,420,665,748,594)( 12,381,287,340,560,667,
468,603,207,624,698,507, 65,701,274, 94,158,576,170,332,131,237,447,
501,397,777,742, 34)( 13,437,305,396,553,751,454, 15,213,288,676,535,
79,449,267,206,148,688,171, 80,113,265,430,165,408,189,752,118)
( 14, 45,292,368,539,359,476,659,216,596,683,619, 82,505,261,710,162,
100,186,584,114,321,439,249,419,497,733,762)( 18,577,282,312,551,247,
475,491,201,764,686, 31, 68,365,259,346,168,660,188,612,123,629,446,
529,401,721,750, 90)( 19,241,307,480,537,779,462, 43,208,372,679,339,
84,645,272,598,151,632,194,528,121,713,442,109,410,581,730,314)
( 20,605,291,620,558,527,457,715,218, 92,690,563, 58,309,271,234,167,
492,173,780,126, 41,432,389,399,357,756,650)( 22,101,298,564,534,331,
467,239,223,484,677,759, 70, 29,264,374,147,352,196,668,132,601,431,
641,418,525,737,706)( 23,465,295,200,540,695,451, 71,197,260,682,143,
72,169,276,122,153,436,193,416,133,741,426, 25,409,301,732,538)
( 26,521,289,704,554,107,466,575,198,316,691,227, 83,477,257,766,154,
44,180,388,119,349,448,669,412,609,739,622)( 27,493,285,760,546, 51,
460,379,203,344,700,647, 76,589,263,626,166,520,177,724,134, 97,438,
585,394,329,747,230)( 28,661,300,592,543,639,474,519,205,708,694, 87,
74,561,254,318,159,240,195,500,117,769,434, 53,404,385,735,342)
( 30,320,383,231,363,504,649,776,602, 39,628,390,511,345,728,666,104,
606,571,618,334,523,233,727,498, 89,774,574)( 33,768,378, 35,348,392,
651,356,616,655,636,614,515,625,726,526, 93,718,582, 86,326,579,226,
335,495,229,783,490)( 37,712,386, 91,354,588,646,328,607,235,643,502,
509,765,714, 50, 96,382,567,338,336,663,244,615,487,621,782,518)
( 40,376,371,343,364,672,664,608,599,627,642,530,513,709,722,106,102,
578,562,310,327,243,251,503,481,761,770, 42)( 46,572,366,315,355,252,
671,496,593,767,630, 54,516,373,707,358,112,662,580,590,319,635,250,
531,485,705,778, 98)( 47,236,391,483,341,784,658, 48,600,375,623,362,
532,653,720,610, 95,634,586,506,317,719,246,111,494,565,758,322)
( 55,488,369,763,350, 56,656,384,595,347,644,670,524,597,711,638,110,
522,569,702,330,103,242,587,478,313,775,238) ] ],
[ 26, 772716672, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PGL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,623,191,525,143,598,398,327,767,351,586, 44, 58,365,629,695,521,227,
592,706,317,739,348,474, 48,534,378,433,699,213,252,480,724,289,733,
656,470,132,540, 98,438,279,221, 28,483,192,301,145,654,414,131,764,
99,578,268, 81)( 2,371,181,693,157,234,396,719,765,743,572,464, 76,
533,630,443,531,199,616,482,332,291,341,670, 50,114,372, 97,690,269,
249, 4,707,177,749,152,458,412,551,770,435,587,212, 84,477,640,303,
509,647,610,118,316, 95,354,278, 53)( 3,595,174,329,151,346,418, 47,
758,379,573,688, 73,225,620,723,513,731,600,454,328,543,350,446, 55,
198,392,489,696,297,229,648,722,121,736, 96,466,272,557, 14,427,195,
217,168,486,416,299,761,659,582,128, 64, 85,634,275,529)
( 5,651,190,133,148, 94,410,271,781, 15,567,184, 77,141,626,415,523,
759,603,566,324, 67,337,642, 51,506,367,601,678,325,235,340,726, 37,
730,376,461,692,549,238,424,727,205,756,488,472,300,537,658,442,139,
204,112,494,276,305)( 6,315,179,357,166, 38,394,383,769,687,577,240,
60,701,625,751,516,451,608,538,322,431,363,222, 56,478,388,293,677,
661,246,116,708, 93,746,264,473, 20,539,182,441,167,206,420,495,780,
295,565,660, 78,113,624,107,522,255,613)( 7,175,189,161,150,402,411,
775,771,575,576, 72, 57,617,639,527,507,591,594,314,319,347,362, 54,
30,366,377,685,689,241,228,704,709,737,740,460,468,552,546,434,447,
223,224,504,500,304,285,649,666,134,120, 92,102,270,277, 25)
( 8, 91,186,273,165, 10,399,187,777,155,570,408, 75,757,631,583,520,
59,589,622,331,515,339,614, 34,310,375,349,698, 45,226,368,713,681,
745,236,452,720,541,742,432,475,216,560,490,444,307,201,672,498,136,
288, 89,662,274,137)( 9,735,180,469,160,542,406,439,783,211,588,492,
80,281,621,667,526,115,596, 90,326,263,361, 26, 35,170,385,153,682,
409,243,760,715,569,744, 68,449,636,555,518,423,615,202,336,487,360,
306, 33,646,386,125,680,101,242,256,725)( 11,343,194, 49,142,374,405,
691,773,239,564,716, 65,729,628,471,524,535,602,426,335,207,364,502,
52,282,369,657,694,129,232, 88,718,261,753, 12,455,188,553,154,430,
419,215,784,491,584,296, 61,645,638,135,512, 87,606,258,333)
( 13,679,185,245,144,710,401,747,768,463,580,548, 70,421,643,219,532,
479,612,286,313,655,358,138, 36, 86,382,265,697, 17,231,172,721,149,
738,404,467,776,547,574,436, 83,197,644,499,528,283,593,650,330,123,
344,110, 46,254,389)( 16, 63,169,637,163,514,395,607,762,323,571,352,
82, 29,618,387,517,675,605,230,312,711,345,754, 40,450,384,545,686,
437,251,200,728,485,752,292,453,664,554,126,428,111,214,280,501, 24,
287,173,665,162,122,400,103,774,267,585)( 18,259,193, 21,147,178,413,
159,766,407,579,772, 71,561,632, 79,505,619,611,510,311,599,342,334,
39,338,390, 41,674,381,237,676,717,233,732,712,457,748,544,462,440,
559,210,448,503,220,308,481,668,302,117,652,106,130,260,109)
( 19,763,183,581,156, 66,393,635,779,519,563,604, 62,309,627,359,530,
31,590,370,321,683,353,250, 32,702,373,741,684,465,244,536,714,429,
755,208,476,496,556,294,425,671,218,140,484,108,298,257,669, 22,119,
176,105,158,262,417)( 23,511,171,609,146,318,403,355,782, 43,562,380,
69,673,633,247,508,703,597,734,320,459,356,558, 42,422,391,209,700,
493,248,284,705,653,750,124,456,104,550,266,445, 27,203,196,497,164,
290,397,663,778,127,568,100, 74,253,641),
( 1,188,771,640,550,502,118,105,725,674,317,253,195, 43,630, 18,496,
762,108,557,698,121,273,727, 30,322)( 2,328,757,192,547,642,130,497,
706, 86,333,673,177,267,643, 46,490, 6,104,781,696,541,278,139, 49,
714)( 3,356,775,304,554,222,120,385,707,562,324,393,179,239,629,438,
493,594,107,529,682,457,280,755, 40, 70)( 4,664,760,668,536,670,116,
665,704,646,312,645,172,659,620,662,480,650, 88,669,676,653,256,671,
32,658)( 5,160,761,164,537,166,117,161,705,142,313,141,173,155,621,
158,481,146, 89,165,677,149,257,167, 33,154)( 7,580,772,416,543,250,
125,441,717,590,331,505,178,463,644,746,488, 62, 87,361,691,289,274,
223, 36,378)( 8,384,763,584,548,418,123,245,713,422,325,589,191,519,
626,466,504,734, 96, 81,675,345,271,307, 50,210)( 9,272,783, 52,546,
26,132,777,724,534,334,113,189,715,618,326,477,174, 99,641,690,485,
258,111, 53,686)( 10,468,784,752,544, 82,115,357,719,282,330,197,176,
379,623,578,492,398, 95,249,685,429,269,615, 51,518)( 11,244,769,444,
549,614,135,525,710,450,336,729,180, 71,619,354,495,286,106,221,680,
373,259,587, 44,406)( 12, 76,759,360,551,306,134,217,708,366,315,561,
184,407,627,242,489,426,101,613,695,513,262,475, 56,742)
( 13,440,773,612,555,530,122,469,728,730,320, 57,171,351,635,298,498,
202, 92,389,679,569,268,419, 39,238)( 14, 20,776,780,556,558,138,133,
721,702,310,309,169,183,631,634,494,482, 90,109,697,681,261,279, 55,
42)( 15,636,774,500,538,110,137,693,709,254,335, 29,182)
( 16,412,767,248,545,446,129,609,723,506,318,449,196,743,628, 74,479,
342,103,305,694,205,260,391, 35,574)( 17,608,779,528,542,474,140,749,
712, 58,311,337,187,295,638,214,484,370, 91,585,688,401,263,251, 41,
434)( 19,300,778,220,540,390,119,581,716,394,319,225,181,435,633,606,
499,510, 94,473,700,737,264, 83, 31,350)( 21,720,758,332,533,194,127,
637,718,478,314, 85,193,687,625,270,503, 34, 98, 25,692,765,276,559,
54,126)( 22,216,764,388,539,586,128,413,711,226,321,421,185,603,639,
522,486,454,112,753,684, 65,255,363, 47,294)( 23,524,766,472,560,754,
124, 77,703,338,327,281,190,211,624,382,483,566,100,417,683,233,265,
447, 45,602)( 24,552,782,136,553,726,114,329,701,170,323,617,186,491,
622,102,501,678, 93,277,699, 37,266, 27, 48,770)( 28,748,768, 80,535,
362,131,301,722,198,316,365,175,575,632,410,487,230, 97,445,689,597,
275,531, 38,462)( 59,339,355,299,302,218,204,372,371,567,576,408,403,
235,237,433,437,605,611,527,514,458,476,756,740, 68)( 60,647,340,663,
284,666,200,652,368,651,564,660,396,655,228,657,424,661,592,667,508,
654,452,672,732,656)( 61,143,341,159,285,162,201,148,369,147,565,156,
397,151,229,153,425,157,593,163,509,150,453,168,733,152)
( 63,563,352,411,291,246,209,428,381,595,583,520,402,459,252,741,432,
73,591,359,523,290,470,224,736,376)( 64,367,343,579,296,414,207,232,
377,427,577,604,415,515,234,461,448,745,600, 79,507,346,467,308,750,
208)( 66,451,364,747,292, 78,199,344,383,287,582,212,400,375,231,573,
436,409,599,247,517,430,465,616,751,516)( 67,227,349,439,297,610,219,
512,374,455,588,744,404)( 69,423,353,607,303,526,206,456,392,735,572,
72,395,347,243,293,442,213,596,387,511,570,464,420,739,236)
( 75,283,358,215,288,386,203,568,380,399,571,240,405,431,241,601,443,
521,598,471,532,738,460, 84,731,348)(144,649) ] ],
[ 27, 1159075008, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 27)^2.(2 x 6)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,132,571,455, 94,501, 84,330,602,307,648,171,558,718,740,444,213,245)
( 2,356,579,371, 89,697, 79,274,597,167,660,395,540,634,743, 52,209,
777)( 3,552,578,735,108,221, 77, 22,608,587,651, 87,557, 74,750,612,
223,665)( 4,188,586,707, 96,445, 73,246,589,139,655,451,542,494,756,
332,210,301)( 5,692,583,259, 93,165, 72,414,596,643,659, 31,545,774,
730,360,215,385)( 6,524,566,511, 90,529, 62,526,594,531,650,507,538,
522,734,528,202,525)( 7,104,585, 63,106,613, 83,666,591,559,662,731,
556,214,749, 24,216,581)( 8,636,575, 35, 97,781, 58,358,607,391,649,
675,555,270,737,164,212,413)( 9,160,576,399, 92,641, 71, 50,601,783,
646,339,551,382,733,696,219,273)( 10,496,588,315, 98,305, 60,190,614,
727,656,423,549,242,729,136,207,469)( 11,468,570,483,112,333, 70,302,
592,195,670,703,544,438,745,248,197,133)( 12,440,577,231, 85,137, 67,
470,598,503,672,311,546,298,732,192,222,721)( 13,776,562,343,103,389,
61,694,611,279,653,143,548,410,736,640,211, 49)( 14,300,564,175,110,
725, 68,442,605,251,645,115,543,466,738,500,224,329)( 15, 48,573,763,
86,361, 75,386,593,699,667,255,541,158,744,416,204,637)
( 16,412,568,623, 99, 53, 69,778,590,363,663,367,537,690,751,276,205,
161)( 17,244,561,119, 95,473, 66,498,616,335,658,283,536,186,754,724,
208,441)( 18,748,584,203,105, 25, 76,582,595,111,669, 59,554,606,755,
668,199,553)( 19,384,565,679,107,277, 65,162,604,419,652,619,547, 46,
741,780,198,357)( 20,580,567, 91,109, 81, 78,610,615,671,647,535,550,
746,752,220,217, 21)( 23,272,569,147,100,417, 64,638,603, 55,657,759,
534,354,747,388,201,693)( 26,720,572,427,101,249, 57,134,599,475,654,
479,560,326,742,304,200,189)( 27,664,563,539,102,753, 80,218,609)
( 28,328,574,287, 88,193, 82,722,600,447,661,227,533,130,739,472,206,
497)( 29,125,767,450,346,495,392,313,686,303,256,177,166,716,404,428,
633,239)( 30,349,775,366,341,691,387,257,681,163,268,401,148,632,407,
36,629,771)( 32,181,782,702,348,439,381,229,673,135,263,457,150,492,
420,316,630,295)( 33,685,779,254,345,159,380,397,680,639,267, 37,153,
772,394,344,635,379)( 34,517,762,506,342,523,370,509,678,527,258,513,
146,520,398,512,622,519)( 38,489,784,310,350,299,368,173,698,723,264,
429,157,240,393,120,627,463)( 39,461,766,478,364,327,378,285,676,191,
278,709,152,436,409,232,617,127)( 40,433,773,226,337,131,375,453,682,
499,280,317,154,296,396,176,642,715)( 41,769,758,338,355,383,369,677,
695,275,261,149,156,408,400,624,631, 43)( 42,293,760,170,362,719,376,
425,689,247,253,121,151,464,402,484,644,323)( 44,405,764,618,351, 47,
377,761,674,359,271,373,145,688,415,260,625,155)( 45,237,757,114,347,
467,374,481,700,331,266,289,144,184,418,708,628,435)( 51,265,765,142,
352,411,372,621,687)( 54,713,768,422,353,243,365,117,683,471,262,485,
168,324,406,288,620,183)( 56,321,770,282,340,187,390,705,684,443,269,
233,141,128,403,456,626,491)(113,123,459,458,486,504,336,322,294,284,
172,194,726,712,432,437,241,225)(116,179,474,710,488,448,325,238,281)
(118,515,454,514,482,532,314,518,286,508,174,530,706,516,426,521,230,
505)(122,487,476,318,490,308,312,182,306,704,180,446,717,236,421,129,
235,449)(124,431,465,234,477,140,319,462,290,480,196,334,714,292,424,
185,250,701)(126,291,452,178,502,728,320,434,297,228,169,138,711,460,
430,493,252,309), ( 1,363,653,537, 15,139,650,565, 25,503,670,677)
( 2,195,652, 61, 21,419,663,369, 20, 55,661,425)( 3,111,654,313, 16,
475,667,285, 13,167,655,593)( 4,531,651,257)( 5, 27,671,649)
( 6,587,669,481, 26,699,645,341, 9,559,659,117)( 7,279,648,509)
( 8, 83,665,397, 19,391,664, 33, 17,447,646,173)( 10,335,660,453, 23,
307,657,145, 11,615,647, 89)( 12,251,668,733, 22,727,662,621, 28,223,
658,761)( 14,783,656,229, 24,755,666,705, 18,643,672,201)
( 29,353,429,534,183,120, 62,581,417,495,390,692)( 30,185,428, 58,189,
400, 75,385,412, 47,381,440)( 31,101,430,310,184,456, 79,301,405,159,
375,608)( 32,521,427,254,172,512, 63,273,396,523,371,272)
( 34,577,445,478,194,680, 57,357,401,551,379,132)( 35,269,424,506,175,
260, 60,525,399,271,368,524)( 36, 73,441,394,187,372, 76, 49,409,439,
366,188)( 37,549,435,114,174,568, 81,497,418,691,365,356)
( 38,325,436,450,191,288, 69,161,403,607,367,104)( 39,605,423, 86,178,
316, 72,469,415,299,377,160)( 40,241,444,730,190,708, 74,637,420,215,
378,776)( 41,157,431,590,171, 92, 66,329,408,467,387,300)
( 42,773,432,226,192,736, 78,721,410,635,392,216)( 43,129,426,562,193,
484, 82,693,393,355,373,552)( 44,465,443,282,181,148, 67,609,395,103,
374,328)( 45,437,422,170,176, 64, 77,413,411,383,384, 48)
( 46,633,448,198,182,764, 68,245,416,747,386,720)( 50,717,438,618,196,
204, 70,777,404,243,388,748)( 51,297,433,142,179,596, 59,105,402,327,
380,468)( 52,745,442,702,186,624, 84,217,406,775,376,244)
( 53,493,446,674,169,344, 65,553,407,131,370,580)( 54,689,421,338,177,
540, 71,133,398,579,389,496)( 56,213,434,758,180,232, 80,749,414,719,
382,636)( 85,346,317,548,463,135,286,573,165,487,614,675)
( 87, 94,318,324,464,471,303,293,153,151,599,591)( 88,514,315,268,452,
527,287,265,144,515,595,255)( 90,570,333,492,474,695,281,349,149,543,
603,115)( 91,262,312,520,455,275,284,517,147,263,592,507)
( 93,542,323,128,454,583,305,489,166,683,589,339)( 95,598,311,100,458,
331,296,461,163,291,601,143)( 96,234,332,744,470,723,298,629,168,207,
602,759)( 97,150,319,604,451,107,290,321,156,459,611,283)
( 98,766,320,240,472,751,302,713,158,627,616,199)( 99,122,314,576,473,
499,306,685,141,347,597,535)(102,626,336,212,462,779,292,237,164,739,
610,703)(106,710,326,632,476,219,294,769,152,235,612,731)
(108,738,330,716,466,639,308,209,154,767,600,227)(109,486,334,688,449,
359,289,545,155,123,594,563)(110,682,309,352,457,555,295,125,146,571,
613,479)(112,206,322,772,460,247,304,741,162,711,606,619)
(113,342,569,557,491,138,678,561,361,485,558,687)(116,510,567,277,480,
530,679,253,340,513,539,267)(118,566,585,501,502,698,673,337,345,541,
547,127)(119,258,564,529,483,278,676,505,343,261,536,519)
(121,538,575,137,482,586,697,477,362,681,533,351)(124,230,584,753,498,
726,690,617,364,205,546,771)(126,762,572,249,500,754,694,701,354,625,
560,211)(130,622,588,221,490,782,684,225,360,737,554,715)
(134,706,578,641,504,222,686,757,348,233,556,743)(136,734,582,725,494,
642,700,197,350,765,544,239)(140,202,574,781,488,250,696,729,358,709,
550,631)(200,518,763,264,228,528,735,274,704,522,623,280)
(203,266,760,516,231,276,732,526,707,270,620,532)(208,238,780,740,246,
724,746,638,728,214,630,784)(210,770,768,236,248,752,750,722,718,634,
644,224)(218,714,774,628,252,220,742,778,712,242,640,756)
(256,508,511,259) ] ],
[ 28, 1159075008, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.D_12",
[ "L", [ 2, 27 ], 2 ],
[ ( 1, 49,617, 39,701, 34,449, 31,253, 40, 57, 55,589, 51,673, 45,505, 52,
393, 50, 85, 43,421, 54,113, 46)( 2,497,618,487,702,482,450,479,254,
488, 58,503,590,499,674,493,506,500,394,498, 86,491,422,502,114,494)
( 3,273,628, 67,727,594,471,675,269,516, 80,419,610,107,687,437,530,
136,410, 22,105,631,431,726,118,466)( 4,749,635,151,728,370,473,563,
272,544, 66,335,601,359,677,297,520,668,401,246, 91,183,434,222,120,
774)( 5,301,632,655,709,230,455,171,266,208, 64,783,592,751,691,157,
532,388,417,582,104,547,430,334,125,354)( 6,469,619,263,712, 62,475,
591,275,684, 73,531,612,415,694,101,519,444,418,134,102, 15,441,642,
123,718)( 7,189,630,207,708,762,452,731,271,152, 84,391,613,583,692,
549,514,332,405,358, 89,295,436,670,121,242)( 8,777,620,739,719,146,
476,367,277,572, 76,559,598,331,685,353,509,304,408,666, 93,239,427,
194,126,214)( 9,245,623,179,714,202,456,759,256,740, 75,167,616,387,
697,577,524,556,402,330, 97,351,425,306,128,662)( 10,329,629,347,705,
286,464,647,261,236, 63,195,602,219,680,773,508,752,411,162,112,379,
445,586,132,550)( 11,721,622,459,703,258,460, 59,279,600, 79,699,605,
527,696,409,526,108,407,442,110,127,438, 26,133,634)( 12, 77,643,599,
723,678,465,507,276,404, 78,111,603,443,698,129,522, 24,413,638, 95,
715,426,474,115,270)( 13,357,621,291,716,650,457,227,259,180, 70,223,
596,779,676,745,523,164,420,386,109,575,440,558,122,326)
( 14,217,624,767,704,734,467,143,280,376, 81,587,608,555,682,325,517,
360,397,302,100,659,429,250,119,186)( 16,665,625,235,707,174,462,199,
260,768, 60,755,607,163,700,381,529,584,412,554, 94,323,433,362,117,
298)( 17,525,640,403,722, 90,463,423,278,124, 74, 27,609,639,683,717,
510,472,395,274, 96, 71,447,614,135,690)( 18, 21,637,627,711,706,454,
451,255,264, 68, 83,615,611,695,689,521,528,416,414,106, 99,435,446,
138,130)( 19,161,644,375,725,566,468,535,262,320, 69,363,593,303,688,
661,513,248,399,190, 98,211,428,782,116,746)( 20,553,626,319,713,342,
453,283,268,656, 65,251,595,191,686,213,512,780,396,750,103,155,448,
390,137,578)( 23,693,633,515,724,398,470, 87,267,432, 82,139,606)
( 25,581,636,543,710,314,461,339,257,292, 72,671,597,247,679,185,518,
220,400,778, 88,743,439,166,140,382)( 28,385,641,571,720,538,458,311,
265,348, 61,307,604,667,681,241,511,192,406,218, 92,771,424,754,131,
158)( 30,477)( 32,729, 47,141, 56,365, 53,561, 48,533, 38,309, 41,
337, 33,281, 44,645, 37,225, 35,169, 42,197, 36,757)(142,504,366,501,
562,496,534,486,310,489,338,481,282,492,646,485,226,483,170,490,198,
484,758,480,730,495)(144,756,383,165,588,384,557,570,328,545,346,313,
293,352,649,289,240,651,177,238,203,176,770,200,736,775)
(145,308,380,669,569,244,539,178,322,209,344,761,284,744,663,149,252,
371,193,574,216,540,766,312,741,355)(147,196,378,221,568,776,536,738,
327,153,364,369,305,576,664,541,234,315,181,350,201,288,772,648,737,
243)(148,784,368,753,579,160,560,374,333,573,356,537,290,324,657,345,
229,287,184,658,205,232,763,172,742,215)(150,336,377,361,565,300,548,
654,317,237,343,173,294,212,652,765,228,735,187,154,224,372,781,564,
748,551)(156,672,373,249,567,188,546,206,316,769,340,733,299)
(159,168,392,389,585,580,552,542,318,321,349,341,285,296,660,653,233,
231,175,182,210,204,764,760,732,747),
( 1,455,569,482,337,259, 9,454,561,483,345,258)( 2,453,582,484,350,
270, 4,476,584,491,359,263)( 3,467,573,502,353,262, 12,468,587,497,
361,268)( 5,470,568,490,354,256, 28,472,575,499,347,254)
( 6,449,567,485,342,253, 7,457,566,477,343,261)( 8,462,578,480,364,
276, 15,471,571,478,341,274)( 10,460,580,503,357,277, 16,451,579,489,
362,269)( 11,450,565,498,344,266, 18,452,588,500,351,275)
( 13,474,577,486,348,272, 27,469,585,492,339,271)( 14,466,564,504,360,
267, 23,459,562,481,358,260)( 17,458,572,496,363,273, 25,464,563,495,
349,278)( 19,461,586,493,346,264, 20,475,581,501,352,255)
( 21,473,576,479,355,265, 26,465,570,488,356,279)( 22,456,574,494,340,
280, 24,463,583,487,338,257)( 29,735, 65,286,113,203, 37,734, 57,287,
121,202)( 30,733, 78,288,126,214, 32,756, 80,295,135,207)
( 31,747, 69,306,129,206, 40,748, 83,301,137,212)( 33,750, 64,294,130,
200, 56,752, 71,303,123,198)( 34,729, 63,289,118,197, 35,737, 62,281,
119,205)( 36,742, 74,284,140,220, 43,751, 67,282,117,218)
( 38,740, 76,307,133,221, 44,731, 75,293,138,213)( 39,730, 61,302,120,
210, 46,732, 84,304,127,219)( 41,754, 73,290,124,216, 55,749, 81,296,
115,215)( 42,746, 60,308,136,211, 51,739, 58,285,134,204)
( 45,738, 68,300,139,217, 53,744, 59,299,125,222)( 47,741, 82,297,122,
208, 48,755, 77,305,128,199)( 49,753, 72,283,131,209, 54,745, 66,292,
132,223)( 50,736, 70,298,116,224, 52,743, 79,291,114,201)
( 85, 91, 93, 90)( 86, 89,106, 92, 98,102, 88,112,108, 99,107, 95)
( 87,103, 97,110,101, 94, 96,104,111,105,109,100)(141,595,513,314,701,
427,149,594,505,315,709,426)(142,593,526,316,714,438,144,616,528,323,
723,431)(143,607,517,334,717,430,152,608,531,329,725,436)
(145,610,512,322,718,424,168,612,519,331,711,422)(146,589,511,317,706,
421,147,597,510,309,707,429)(148,602,522,312,728,444,155,611,515,310,
705,442)(150,600,524,335,721,445,156,591,523,321,726,437)
(151,590,509,330,708,434,158,592,532,332,715,443)(153,614,521,318,712,
440,167,609,529,324,703,439)(154,606,508,336,724,435,163,599,506,313,
722,428)(157,598,516,328,727,441,165,604,507,327,713,446)
(159,601,530,325,710,432,160,615,525,333,716,423)(161,613,520,311,719,
433,166,605,514,320,720,447)(162,596,518,326,704,448,164,603,527,319,
702,425)(169,175,177,174)(170,173,190,176,182,186,172,196,192,183,
191,179)(171,187,181,194,185,178,180,188,195,189,193,184)
(225,399,625,762,365,539,233,398,617,763,373,538)(226,397,638,764,378,
550,228,420,640,771,387,543)(227,411,629,782,381,542,236,412,643,777,
389,548)(229,414,624,770,382,536,252,416,631,779,375,534)
(230,393,623,765,370,533,231,401,622,757,371,541)(232,406,634,760,392,
556,239,415,627,758,369,554)(234,404,636,783,385,557,240,395,635,769,
390,549)(235,394,621,778,372,546,242,396,644,780,379,555)
(237,418,633,766,376,552,251,413,641,772,367,551)(238,410,620,784,388,
547,247,403,618,761,386,540)(241,402,628,776,391,553,249,408,619,775,
377,558)(243,405,642,773,374,544,244,419,637,781,380,535)
(245,417,632,759,383,545,250,409,626,768,384,559)(246,400,630,774,368,
560,248,407,639,767,366,537)(645,679,653,678)(646,677,666,680,658,
690,648,700,668,687,667,683)(647,691,657,698,661,682,656,692,671,693,
669,688)(649,694,652,686,662,676,672,696,659,695,655,674)
(650,673,651,681)(654,684,664,699,665,697,660,675,663,685,670,689) ]
],
[ 29, 1159075008, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.12",
[ "L", [ 2, 27 ], 2 ],
[ ( 1, 4, 2, 25, 23, 20)( 3, 22, 19, 21, 26, 28)( 5, 17, 24, 12, 15, 16
)( 6, 27, 11, 8, 7, 18)( 10, 13)( 29,620,142,501,135,300)
( 30,641,163,496,113,284)( 31,638,159,497,138,308)( 32,618,165,499,
132,281)( 33,633,164,488,127,296)( 34,643,151,484,119,298)
( 35,634,146,503,123,288)( 36,623,158,482,139,291)( 37,625,149,485,
121,289)( 38,629,150,489,122,293)( 39,624,147,494,118,307)
( 40,631,156,481,129,304)( 41,626,153,486,125,290)( 42,630,154,490,
126,294)( 43,632,145,493,136,292)( 44,621,157,500,124,295)
( 45,640,152,491,128,285)( 46,622,167,487,120,287)( 47,637,166,504,
115,302)( 48,617,144,478,137,303)( 49,642,168,479,134,299)
( 50,635,161,502,140,283)( 51,636,141,480,114,305)( 52,628,155,492,
117,297)( 53,639,160,477,116,282)( 54,644,143,498,131,301)
( 55,627,148,483,130,286)( 56,619,162,495,133,306)( 57,452,590,529,
107,692)( 58,473,611,524, 85,676)( 59,470,607,525,110,700)
( 60,450,613,527,104,673)( 61,465,612,516, 99,688)( 62,475,599,512,
91,690)( 63,466,594,531, 95,680)( 64,455,606,510,111,683)
( 65,457,597,513, 93,681)( 66,461,598,517, 94,685)( 67,456,595,522,
90,699)( 68,463,604,509,101,696)( 69,458,601,514, 97,682)
( 70,462,602,518, 98,686)( 71,464,593,521,108,684)( 72,453,605,528,
96,687)( 73,472,600,519,100,677)( 74,454,615,515, 92,679)
( 75,469,614,532, 87,694)( 76,449,592,506,109,695)( 77,474,616,507,
106,691)( 78,467,609,530,112,675)( 79,468,589,508, 86,697)
( 80,460,603,520, 89,689)( 81,471,608,505, 88,674)( 82,476,591,526,
103,693)( 83,459,596,511,102,678)( 84,451,610,523,105,698)
(169,396,646,221,275,748)(170,417,667,216,253,732)(171,414,663,217,
278,756)(172,394,669,219,272,729)(173,409,668,208,267,744)
(174,419,655,204,259,746)(175,410,650,223,263,736)(176,399,662,202,
279,739)(177,401,653,205,261,737)(178,405,654,209,262,741)
(179,400,651,214,258,755)(180,407,660,201,269,752)(181,402,657,206,
265,738)(182,406,658,210,266,742)(183,408,649,213,276,740)
(184,397,661,220,264,743)(185,416,656,211,268,733)(186,398,671,207,
260,735)(187,413,670,224,255,750)(188,393,648,198,277,751)
(189,418,672,199,274,747)(190,411,665,222,280,731)(191,412,645,200,
254,753)(192,404,659,212,257,745)(193,415,664,197,256,730)
(194,420,647,218,271,749)(195,403,652,203,270,734)(196,395,666,215,
273,754)(225,312,702,781,583,440)(226,333,723,776,561,424)
(227,330,719,777,586,448)(228,310,725,779,580,421)(229,325,724,768,
575,436)(230,335,711,764,567,438)(231,326,706,783,571,428)
(232,315,718,762,587,431)(233,317,709,765,569,429)(234,321,710,769,
570,433)(235,316,707,774,566,447)(236,323,716,761,577,444)
(237,318,713,766,573,430)(238,322,714,770,574,434)(239,324,705,773,
584,432)(240,313,717,780,572,435)(241,332,712,771,576,425)
(242,314,727,767,568,427)(243,329,726,784,563,442)(244,309,704,758,
585,443)(245,334,728,759,582,439)(246,327,721,782,588,423)
(247,328,701,760,562,445)(248,320,715,772,565,437)(249,331,720,757,
564,422)(250,336,703,778,579,441)(251,319,708,763,578,426)
(252,311,722,775,581,446)(337,368,338,389,359,384)(339,386,355,385,
362,392)(340,366,361,387,356,365)(341,381,360,376,351,380)
(342,391,347,372,343,382)(344,371,354,370,363,375)(345,373)(346,377)
(348,379,352,369,353,388)(349,374)(350,378)(357,390,364,367,358,383)
(533,536,534,557,555,552)(535,554,551,553,558,560)(537,549,556,544,
547,548)(538,559,543,540,539,550)(542,545),
( 1,472,286,210, 75,320,671,415)( 2,136,297,742, 72,348,659,583)
( 3,780,285,546, 69, 40,670,191)( 4,696,287,154, 77,600,654,247)
( 5,556,293, 42, 82,180,647,779)( 6,220,299,322, 83,404,645,471)
( 7,164,301,602, 66,236,648,695)( 8,276,289,490, 76, 96,662,723)
( 9,500,300, 98, 74,712,652,275)( 10,248,284,686, 63,152,665,611)
( 11,388,305,434, 84,516,666,639)( 12,668,303, 14, 80,292,658, 79)
( 13, 52,306,182, 59,768,649,555)( 15,584,282,126, 73,740,660,359)
( 16,360,295,574, 58,124,661,751)( 17,752,296,350, 71,572,646,135)
( 18,724,288,266, 65,488,664,107)( 19,332,307,406, 57,460,650,219)
( 20,108,298,714, 64,264,653,499)( 21,612,290,238, 60,684,651,163)
( 22,640,291,378, 81,432,672,527)( 23, 24,304,294, 70, 68,656,667)
( 25,444,308,518, 78,628,655,387)( 26,192,283,770, 61,544,657, 51)
( 27,416,281,462, 62,208,663,331)( 28,528,302,630, 67,376,669,443)
( 29,474,174,199,775,313,559,405)( 30,138,185,731,772,341,547,573)
( 31,782,173,535,769, 33,558,181)( 32,698,175,143,777,593,542,237)
( 34,222,187,311,783,397,533,461)( 35,166,189,591,766,229,536,685)
( 36,278,177,479,776, 89,550,713)( 37,502,188, 87,774,705,540,265)
( 38,250,172,675,763,145,553,601)( 39,390,193,423,784,509,554,629)
( 41, 54,194,171,759,761,537,545)( 43,586,170,115,773,733,548,349)
( 44,362,183,563,758,117,549,741)( 45,754,184,339,771,565,534,125)
( 46,726,176,255,765,481,552, 97)( 47,334,195,395,757,453,538,209)
( 48,110,186,703,764,257,541,489)( 49,614,178,227,760,677,539,153)
( 50,642,179,367,781,425,560,517)( 53,446,196,507,778,621,543,377)
( 55,418,169,451,762,201,551,321)( 56,530,190,619,767,369,557,433)
( 85,466,706,204,271,317,503,412)( 86,130,717,736,268,345,491,580)
( 88,690,707,148,273,597,486,244)( 90,214,719,316,279,401,477,468)
( 91,158,721,596,262,233,480,692)( 92,270,709,484,272, 93,494,720)
( 94,242,704,680,259,149,497,608)( 95,382,725,428,280,513,498,636)
( 99,578,702,120,269,737,492,356)(100,354,715,568,254,121,493,748)
(101,746,716,344,267,569,478,132)(102,718,708,260,261,485,496,104)
(103,326,727,400,253,457,482,216)(105,606,710,232,256,681,483,160)
(106,634,711,372,277,429,504,524)(109,438,728,512,274,625,487,384)
(111,410,701,456,258,205,495,328)(112,522,722,624,263,373,501,440)
(113,465,734,212,355,323,587,394)(114,129,745,744,352,351,575,562)
(116,689,735,156,357,603,570,226)(118,213,747,324,363,407,561,450)
(119,157,749,604,346,239,564,674)(122,241,732,688,343,155,581,590)
(123,381,753,436,364,519,582,618)(127,577,730,128,353,743,576,338)
(131,325,755,408,337,463,566,198)(133,605,738,240,340,687,567,142)
(134,633,739,380,361,435,588,506)(137,437,756,520,358,631,571,366)
(139,409,729,464,342,211,579,310)(140,521,750,632,347,379,585,422)
(141,469,594,206,243,312,699,399)(144,693,595,150,245,592,682,231)
(146,217,607,318,251,396,673,455)(147,161,609,598,234,228,676,679)
(151,385,613,430,252,508,694,623)(159,329,615,402,225,452,678,203)
(162,637,599,374,249,424,700,511)(165,441,616,514,246,620,683,371)
(167,413,589,458,230,200,691,315)(168,525,610,626,235,368,697,427)
(197,467,314,223,411,309,475,398)(202,215,327,335,419,393,449,454)
(207,383,333,447,420,505,470,622)(218,635,319,391,417,421,476,510)
(221,439,336,531,414,617,459,370)(224,523,330,643,403,365,473,426)
(375,389,445,448,532,526,638,627)(386,641,431,392,529,442,644,515) ]
],
[ 30, 1159075008, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.Q_12",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,154,431,290,450, 68, 51,328,340,233,193,484,716,274,670,393,145,683,
299,618, 74,387,315,200,239,529,493,100,265,138,416,537,699,747,644,
606,367, 7,210,435,514,465, 96, 41,132,360,541,195,736,728,610,647)
( 2, 70,443,318,452,236, 53,496,352,261,194,400,705,694,663,617,158,
375,287,198, 71,527,325, 88,237,137,500,548,279,754,420,593,675, 19,
630,438,374,455,208, 43,524,353, 93,181,120,724,554,671,729,168,599,
283)( 3, 14,434,430,458,460, 40, 48,356,345,177,176,708,722,666,645,
141,151,291,282, 58, 79,331,312,228,249,501,492,268,278,418,397,677,
691,635,634,382,371,203,211,519,521,101, 97,125,136,556,559,755,756,
616,591)( 4,238,445,486,464,264, 54,412,341,681,187,624,718,386,651,
197,155,515,297, 86, 69,135,332,536,251,753,504,604,255, 26,406,425,
682,467,628, 46,384,343,205,183,512,717,106,657,113,164,543,307,730,
84,611,311)( 5,686,439,626,466,376, 35,216,351,513,185, 92,713,134,
668,533,167,739,308,590, 59, 23,322,424,234,473,488, 44,272,362,401,
173,680,719,638,662,365,147,207,295,506, 73,107,321,116,248,557,503,
744,280,614,395)( 6,574,426,570,454,572, 34,580,342,569,174,568,706,
582,650,561,146,571,286,562, 62,583,314,564,230,585,482,576,258,586,
398,565,678,579,622,578,370,567,202,575,510,577, 90,573,118,584,538,
587,734,588,594,563)( 8,714,442,654,449,152, 39,300,338, 65,191,316,
704,246,669,477,156,263,306,394, 61,695,327,620,242,389,483,212,267,
530,409, 89,685,131,640,550,391,735,224,603,507, 17, 98,433,122,472,
544, 55,748,364,597,171)( 9,182,428,710,470,656, 29,160,347,289,170,
64,723,330,648,225,165,487,296,254, 82,415,313,676,243,641,494,380,
259,222,407,509,689,103,629,130,388,539,223,743,532,605, 87, 13,126,
444,542,475,740, 56,608,339)( 10,462,432, 38,468,348, 37,188,344,709,
190,652,701,162,655,281,142, 67,303,310, 60,247,333,480,240,277,502,
408,257,698,411,621,690,383,623,214,379,511,213, 99,517,129,108,545,
139,752,560,615,731, 28,602,423)( 11,294,422, 66,471,320, 32,244,361,
485,184,260,726,414,649,673,159,627,298,366, 63,219,323,508,241,109,
489,128,276,558,419,733,700,607,619, 18,378,427,206,463,516, 45,104,
349,121,192,540,727,750,672,589,143)( 12, 42,440,346,457,180, 36,720,
358,653,169,148,711,302,646, 57,163,319,284,226, 81,499,324,256,250,
417,481,688,271,642,410,369,679,215,631,522,381, 91,209,127,528,549,
111,741,140,612,535, 27,742,448,598,451)( 15,518,437, 94,461,124, 52,
552,363,737,196,596,703, 22,658,421,150,459,292, 30, 76,359,317,172,
232,725,498,660,253,166,403,285,674, 75,639,326,368,231,221,491,520,
269,110,405,117,696,551,643,746,392,595,199)( 16,266,446,402,453,684,
47,636,354,373,175,204,715,526,661, 85,153,123,304,534, 83,751,336,
592,227, 25,490,436,262,474,404, 33,692,355,625,186,372,707,218,659,
505,157, 95,293,114, 80,555,335,732,252,613,479)( 20,350,429,178,456,
712, 50,664,337,149,179,288,702, 78,667,309,144,235,305,478, 72,275,
334,396,229,697,495,632,270,390,399,201,687,523,633,102,377,119,220,
547,531,745,112,601,115, 24,546,447,738,476,600, 31)( 21,770,441,766,
469,768, 49,776,357,765,189,764,721,778,665,757,161,767,301,758, 77,
779,329,760,245,781,497,772,273,782,413,761,693,775,637,774,385,763,
217,771,525,773,105,769,133,780,553,783,749,784,609,759)(581,762),
( 1,124,701,348,645, 68,533,516,477, 12,113,712,337,656, 57,544,505,488
)( 2,126,715,339,660, 84,534,518,491, 3,128,728,338,658, 71,535,
520,504)( 4,138,721,341,666, 75,536,530,497, 5,134,719,340,670, 77,
537,526,495)( 6,119,711,359,664, 83,538,511,487, 23,132,727,342,651,
67,555,524,503)( 7,123,723,356,671, 62,539,515,499, 20,139,706,343,
655, 79,552,531,482)( 8,130,713,360,654, 65,540,522,489, 24,122,709,
344,662, 69,556,514,485)( 9,120,718,349,668, 66,541,512,494, 13,136,
710,345,652, 74,545,528,486)( 10,121,708,354,657, 80,542,513,484, 18,
125,724,346,653, 64,550,517,500)( 11,135,720,363,650, 63,543,527,496,
27,118,707,347,667, 76,559,510,483)( 14,127,703,352,672, 58,546,519,
479, 16,140,702,350,659, 59,548,532,478)( 15,115,716,364,646, 70,547,
507,492, 28,114,714,351,647, 72,560,506,490)( 17,137,717,361,661, 81,
549,529,493, 25,129,725,353,669, 73,557,521,501)( 19,116,726,357,649,
78,551,508,502, 21,117,722,355,648, 82,553,509,498)( 22,131,704,362,
665, 61,554,523,480, 26,133,705,358,663, 60,558,525,481)
( 29,236,757,264, 85,432,673,628,309, 40,225,768,253, 96,421,684,617,
320)( 30,238,771,255,100,448,674,630,323, 31,240,784,254, 98,435,675,
632,336)( 32,250,777,257,106,439,676,642,329, 33,246,775,256,110,441,
677,638,327)( 34,231,767,275,104,447,678,623,319, 51,244,783,258, 91,
431,695,636,335)( 35,235,779,272,111,426,679,627,331, 48,251,762,259,
95,443,692,643,314)( 36,242,769,276, 94,429,680,634,321, 52,234,765,
260,102,433,696,626,317)( 37,232,774,265,108,430,681,624,326, 41,248,
766,261, 92,438,685,640,318)( 38,233,764,270, 97,444,682,625,316, 46,
237,780,262, 93,428,690,629,332)( 39,247,776,279, 90,427,683,639,328,
55,230,763,263,107,440,699,622,315)( 42,239,759,268,112,422,686,631,
311, 44,252,758,266, 99,423,688,644,310)( 43,227,772,280, 86,434,687,
619,324, 56,226,770,267, 87,436,700,618,322)( 45,249,773,277,101,445,
689,641,325, 53,241,781,269,109,437,697,633,333)( 47,228,782,273, 89,
442,691,620,334, 49,229,778,271, 88,446,693,621,330)( 50,243,760,278,
105,425,694,635,312, 54,245,761,274,103,424,698,637,313)
(141,292,729,180,561,208,449,600,393,152,281,740,169,572,197,460,589,
404)(142,294,743,171,576,224,450,602,407,143,296,756,170,574,211,451,
604,420)(144,306,749,173,582,215,452,614,413,145,302,747,172,586,217,
453,610,411)(146,287,739,191,580,223,454,595,403,163,300,755,174,567,
207,471,608,419)(147,291,751,188,587,202,455,599,415,160,307,734,175,
571,219,468,615,398)(148,298,741,192,570,205,456,606,405,164,290,737,
176,578,209,472,598,401)(149,288,746,181,584,206,457,596,410,153,304,
738,177,568,214,461,612,402)(150,289,736,186,573,220,458,597,400,158,
293,752,178,569,204,466,601,416)(151,303,748,195,566,203,459,611,412,
167,286,735,179,583,216,475,594,399)(154,295,731,184,588,198,462,603,
395,156,308,730,182,575,199,464,616,394)(155,283,744,196,562,210,463,
591,408,168,282,742,183,563,212,476,590,406)(157,305,745,193,577,221,
465,613,409,165,297,753,185,585,213,473,605,417)(159,284,754,189,565,
218,467,592,418,161,285,750,187,564,222,469,593,414)(162,299,732,194,
581,201,470,607,396,166,301,733,190,579,200,474,609,397)(365,376)
(366,378,379,367,380,392)(368,390,385,369,386,383)(370,371,375,387,
384,391)(372,382,377,388,374,373)(381,389) ] ],
[ 31, 1738612512, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSigmaL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,243,163,626,207,783,469, 90,448,746,484,292,694,257, 81,194,573, 44)
( 2,131,164,374,211,671,465,706,429,550,483,600,675,509, 76,418,574,
352)( 3,523,160,402,210,363,450,118,444,382,491,656,689,705, 65,558,
567,604)( 4,327,144,318,200,335,452,314,424,326,480,320,676,313, 60,
334,564,324)( 5, 75,166,570,212, 27,467,146,430,214,503,460,678,425,
74,502,572,688)( 6,439,158,486,208,699,453, 62,446,578,492, 12,691,
145, 66,222,587,464)( 7,607,143,514,216,419,462,342,422,130,500,376,
687,649, 73,726,569,548)( 8,299,162,262,221,195,461, 34,421,242,499,
628,683,761, 77,110,588,744)( 9,551,147,598,199,531,468,398,434,354,
478,124,696,369, 71,670,577,716)( 10,215,167,458,202,447,466,482,432,
690,481, 68,698,565, 72, 26,579,156)( 11,775,161, 94,224,755,456,286,
442,270,501,180,685, 33, 57,250,583,632)( 13, 47,141,234,219,643,459,
762,441,102,504,740,680,285, 78,278,585,184)( 14,355,142,122,220,391,
463,650,437,718,485,544,679,593, 59,530,580,408)( 15,663,157,710,205,
559,455,594,423,522,496,404,686,341, 58,138,584,380)( 16, 19,159,150,
206,223,475,454,426,438,494,488,684,677, 61, 82,586,576)
( 17,719,149,542,203,615,451,510,440,410,490,348,674,117, 80,390,575,
660)( 18,495,152,682,201, 83,474,566,436)( 20,411,154,346,198,139,
472,370,435,662,493,712,681,537, 63,614,563,520)( 21,103,168,738,204,
307,470,258,445,186,489, 40,673,229, 79,642,571,772)( 22,271,165,178,
209, 55,449,230,443,634,487,768,693, 89, 84,754,568,296)
( 23,635,151,766,217,111,476,734,428,298,498,264,697,173, 69, 54,561,
240)( 24,383,155,654,213,727,457,538,427,606,479,516,692,397, 70,362,
562,128)( 25,187,153, 38,197,251,471,622,431,774,497, 96,700,733, 64,
306,582,268)( 28,747,148,290,218,279,473,174,433, 46,477,236,695,621,
67,782,581,100)( 29,225,247,639,627,767,777,105,112,756,736,288,302,
274,277,193,181, 41)( 30,113,248,387,631,655,773,721, 93,560,735,596,
283,526,272,417,182,349)( 31,505,244,415,630,347,758,133,108,392,743,
652,297,722,261,557,175,601)( 32,309,228,331,620,319,760,329, 88,336,
732,316,284,330,256,333,172,321)( 35,589,227,527,636,403,770,357, 86,
140,752,372,295,666,269,725,177,545)( 36,281,246,275,641,179,769, 49,
85,252,751,624,291,778,273,109,196,741)( 37,533,231,611,619,515,776,
413, 98,364,730,120,304,386,267,669,185,713)( 39,757,245,107,644,739,
764,301,106,280,753,176,293, 50,253,249,191,629)( 42,337,226,135,640,
375,771,665,101,728,737,540,287,610,255,529,188,405)( 43,645,241,723,
625,543,763,609, 87,532,748,400,294,358,254,137,192,377)
( 45,701,233,555,623,599,759,525,104,420,742,344,282,134,276,389,183,
657)( 48,393,238,359,618,123,780,385, 99,672,745,708,289,554,259,613,
171,517)( 51,617,235,779,637, 95,784,749, 92,308,750,260,305,190,265,
53,169,237)( 52,365,239,667,633,711,765,553, 91,616,731,512,300,414,
266,361,170,125)( 56,729,232,303,638,263,781,189, 97)
(114,136,388,379,659,661,717,709,541,539,595,591,507,524,412,406,350,
338)(115,528,384,407,658,353,702,121,556,371,603,647,521,720,401,546,
343,590)(116,332,368,323,648,325,704,317,536,315,592,311,508,328,396,
322,340,310)(119,612,367,519,664,409,714,345,534)(126,360,366,127,
668,381,715,653,549,707,597,535,511,608,395,518,356,394)
(129,724,373,547,651,605,703,513,552,399,602,339,506,132,416,378,351,
646), ( 1,446,215,665,744,728,134,153,347,294,458,367)
( 2,558,213,693,730,560,129,685,338,546,465,675)( 3, 26,222,217,749,
756,140,125,349,350,462,451)( 4,614,216,329,755,196,136,237,361, 70,
453,507)( 5,530,200,609,748,336,139,181,360,238,473, 59)
( 6,418,214, 49,740,112,120,629,359,574,463,759)( 7,278,205,497,735,
280,121,489,343,266,457,479)( 8,642,219,581,743,784,118,405,354, 42,
460, 87)( 9,502,203,273,737,504,119,265,345,490,455,255)
( 10,390,197,441,747,672,128,713,358,154,459,283)( 11,306,206,385,729,
448,131,657,352,714,470,143)( 12,110,204,637,751,588,127,769,342,406,
466, 31)( 13,362,210,469,731, 28,138,209,357,742,476,115)
( 14,474,199, 21,754,224,133,741,364,126,461,339)( 15,782,202,413,746,
56,124, 97,344,630,471,563)( 16,726,218,161,739,308,122,377,337,434,
467,647)( 17,698,198,553,745,700,114,545,353,686,450,535)
( 18, 54,208,105,736,644,135,573,351,770,454,395)( 19,670,212,721,750,
168,123,293,346,378,449,423)( 20,334,223,189,752,252,137, 69,341,518,
452,591)( 22,166,207,301,738,392,113,433,355,658,464,703)
( 23,586,211,777,734,420,130, 41,348, 98,456,619)( 24,250,221, 77,733,
532,116,601,356,322,475,171)( 25, 82,201,525,732,616,132,321,363,182,
472,227)( 27,194,220,245,753, 84,117,517,340,602,468,311)
( 29,432,103,652,632,723,582,155,767,286,402,382)( 30,544,101,680,618,
555,577,687,758,538,409,690)( 32,600,104,316,643,191,584,239,781, 62,
397,522)( 33,516, 88,596,636,331,587,183,780,230,417, 74)
( 34,404,102, 36,628,107,568,631,779,566,407,774)( 35,264, 93,484,623,
275,569,491,763,258,401,494)( 37,488, 91,260,625,499,567,267,765,482,
399,270)( 38,376, 85,428,635,667,576,715,778,146,403,298)
( 39,292, 94,372,617,443,579,659,772,706,414,158)( 40, 96, 92,624,639,
583,575,771,762,398,410, 46)( 43,768, 90,400,634, 51,572, 99,764,622,
415,578)( 44,712,106,148,627,303,570,379,757,426,411,662)
( 45,684, 86,540,633,695,562,547,773,678,394,550)( 47,656,100,708,638,
163,571,295,766,370,393,438)( 48,320,111,176,640,247,585, 71,761,510,
396,606)( 50,152, 95,288,626,387,561,435,775,650,408,718)
( 52,236,109, 64,621,527,564,603,776,314,419,186)( 53, 68, 89,512,620,
611,580,323,783,174,416,242)( 55,180,108,232,641, 79,565,519,760,594,
412,326)( 57,425,523,648,604,720,330,167,179,304,234,389)
( 58,537,521,676,590,552,325,699,170,556,241,697)( 60,593,524,312,615,
188,332,251,193, 80,229,529)( 61,509,508,592,608,328,335,195,192,248,
249, 81)( 63,257,513,480,595,272,317,503,175,276,233,501)
( 65,481,511,256,597,496,315,279,177,500,231,277)( 66,369,505,424,607,
664,324,727,190,164,235,305)( 67,285,514,368,589,440,327,671,184,724,
246,165)( 72,705,526,144,599,300,318,391,169,444,243,669)
( 73,677,506,536,605,692,310,559,185,696,226,557)( 75,649,520,704,610,
160,319,307,178,388,225,445)( 76,313,531,172,612,244,333, 83,173,528,
228,613)( 78,145,515,284,598,384,309,447,187,668,240,725)
(141,431,299,654,380,701,442,159,655,296,710,386)(142,543,297,682,366,
533,437,691,646,548,717,694)(147,263,289,486,371,253,429,495,651,268,
709,498)(149,487,287,262,373,477,427,271,653,492,707,274)
(150,375,281,430,383,645,436,719,666,156,711,302)(151,291,290,374,365,
421,439,663,660,716,722,162)(157,683,282,542,381,673,422,551,661,688,
702,554)(254,541,493,679)(259,261,485,483)(269,681,478,539)
(534,549,689,674) ] ],
[ 32, 2318150016, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1, "PSL(2, 27)^2.3:D_8",
[ "L", [ 2, 27 ], 2 ],
[ ( 1,646,483,630, 83,360, 9,662,481,641, 71,359)( 2,651,490,643, 80,345,
18,649,501,631, 79,337)( 3,655,482,632, 60,353, 20,670,495,624, 84,
349)( 4,661,496,642, 75,344, 28,657,479,627, 62,352)
( 5,669,491,639, 57,338, 7,658,503,640, 65,354)( 6,660,480,633, 76,
362, 19,652,504,629, 59,347)( 8,672,489,619, 67,342, 16,648,493,636,
82,355)( 10,665,488,638, 66,357, 12,666,486,637, 68,358)
( 11,650,492,620, 73,356, 26,663,484,644, 69,339)( 13,647,487,622, 72,
340, 17,664,502,635, 64,364)( 14,671,500,625, 74,341, 25,659,499,617,
58,343)( 15,667,477,618, 63,350, 27,668,485,634, 61,361)
( 21,656,498,626, 77,348, 22,654,497,628, 78,346)( 23,645,478,623, 70,
363, 24,653,494,621, 81,351)( 29,394,595,266,475,388, 37,410,593,277,
463,387)( 30,399,602,279,472,373, 46,397,613,267,471,365)
( 31,403,594,268,452,381, 48,418,607,260,476,377)( 32,409,608,278,467,
372, 56,405,591,263,454,380)( 33,417,603,275,449,366, 35,406,615,276,
457,382)( 34,408,592,269,468,390, 47,400,616,265,451,375)
( 36,420,601,255,459,370, 44,396,605,272,474,383)( 38,413,600,274,458,
385, 40,414,598,273,460,386)( 39,398,604,256,465,384, 54,411,596,280,
461,367)( 41,395,599,258,464,368, 45,412,614,271,456,392)
( 42,419,612,261,466,369, 53,407,611,253,450,371)( 43,415,589,254,455,
378, 55,416,597,270,453,389)( 49,404,610,262,469,376, 50,402,609,264,
470,374)( 51,393,590,259,462,391, 52,401,606,257,473,379)
( 85,758,511,126,587,556, 93,774,509,137,575,555)( 86,763,518,139,584,
541,102,761,529,127,583,533)( 87,767,510,128,564,549,104,782,523,120,
588,545)( 88,773,524,138,579,540,112,769,507,123,566,548)
( 89,781,519,135,561,534, 91,770,531,136,569,550)( 90,772,508,129,580,
558,103,764,532,125,563,543)( 92,784,517,115,571,538,100,760,521,132,
586,551)( 94,777,516,134,570,553, 96,778,514,133,572,554)
( 95,762,520,116,577,552,110,775,512,140,573,535)( 97,759,515,118,576,
536,101,776,530,131,568,560)( 98,783,528,121,578,537,109,771,527,113,
562,539)( 99,779,505,114,567,546,111,780,513,130,565,557)
(105,768,526,122,581,544,106,766,525,124,582,542)(107,757,506,119,574,
559,108,765,522,117,585,547)(141,282,147,294,167,304,149,298,145,305,
155,303)(142,287,154,307,164,289,158,285,165,295,163,281)
(143,291,146,296,144,297,160,306,159,288,168,293)(148,308,153,283,151,
286,156,284,157,300,166,299)(150,301,152,302)(161,292,162,290)
(169,730,315,238,223,724,177,746,313,249,211,723)(170,735,322,251,220,
709,186,733,333,239,219,701)(171,739,314,240,200,717,188,754,327,232,
224,713)(172,745,328,250,215,708,196,741,311,235,202,716)
(173,753,323,247,197,702,175,742,335,248,205,718)(174,744,312,241,216,
726,187,736,336,237,199,711)(176,756,321,227,207,706,184,732,325,244,
222,719)(178,749,320,246,206,721,180,750,318,245,208,722)
(179,734,324,228,213,720,194,747,316,252,209,703)(181,731,319,230,212,
704,185,748,334,243,204,728)(182,755,332,233,214,705,193,743,331,225,
198,707)(183,751,309,226,203,714,195,752,317,242,201,725)
(189,740,330,234,217,712,190,738,329,236,218,710)(191,729,310,231,210,
727,192,737,326,229,221,715)(421,674,427,686,447,696,429,690,425,697,
435,695)(422,679,434,699,444,681,438,677,445,687,443,673)
(423,683,426,688,424,689,440,698,439,680,448,685)(428,700,433,675,431,
678,436,676,437,692,446,691)(430,693,432,694)(441,684,442,682),
( 1,131, 36,472, 66,692,358,586,143,312, 91,784,559,705,295,510,186,
9,411, 53,752, 73,664,357,642,142,480, 98,616,548,425,303,258,181,
373,404,249,739,213,645,133,624,450,486,686,610,576,423,331,259,769,
391,712,239,515,214)( 2,495, 42,612, 72,440,359,278,153,368, 96,252,
543,201,281,118,176,457,402,697,750,577,647,329,623,758,503,714,603,
520,438, 23,271, 41,388, 68,244,347,222,141,116, 92,476,542,677,302,
566,171,317,399,781,755,717,659,525,634)( 3,327, 35,780, 83,720,351,
530,158, 4,103, 56,556, 61,300,342,194,149,396,109,756,549,649,301,
622,170,485,406,613,744,437,667,273,629,366,488,238,599,212,421,135,
260,461,374,684,246,571,199,309,119,764,475,710,687,526,578)
( 5,299, 34,192, 65,412,361,754,157,648,105,644,534,481,294,594,184,
429,415,277,741,381,656,245,627,198,477,126,596,464,430,695,274,573,
367,320,231,767,223,701,127,512,466, 10,691, 50,584, 59,328,343,782,
167,704, 99,532,550)( 6,187, 37,416, 81,748,353,670,161,620, 86,504,
546,593,296,426,191,261,405,389,740,241,655,217,617,114,484,462,598,
688,442,583,255,321,371,768,251,711,211,505,130, 8,467, 38,696, 78,
580,339,334,147,760,111,728,547,509,298)( 7,775, 55,724, 71,524,354,
26,159, 32,108, 84,552,341,306,146,172, 93,420,557,733,297,650,189,
625,394,501,742,605,660,441,639,254,489,378,600,240,431,219,253,125,
372,460,234,683,218,561,115,316,455,766,699,722,575,507,326)
( 11,215, 29,136, 64,468,346,698,162,564, 87,336,539,761,307,706,183,
513,410, 25,747, 45,668, 77,636,338,502,154,592,100,448,555,257,293,
370,180,233,403,221,729,129,652,469,626,674,498,574,591,324,427,779,
279,713,379,516,242)( 12,243, 39,220, 57,132,344,474,150,676,106,588,
535,313,287,762,195,709,407,529,746, 17,663, 49,640, 58,496,350,614,
156,424,107,280,545,369,292,230,179,205,393,137,736,465,654,693,638,
562,479,322,595,772,447,723,267,517,382)( 13,383, 40,248, 67,216,337,
138,148,452, 94,700,554,565,283,314,175,765,419,725,743,521,662, 21,
635, 30,500, 70,608,352,446,163,256, 97,392,544,229,291,202,169,121,
400,473,738,689,666,581,619,310,483,770,615,716,435,527,270)
( 14,607, 44,444, 79,272,349,390,152,228, 95,224,533,117,288,454,178,
681,414,585,731,325,651,777,643,702,491,518,606, 16,439, 51,276, 69,
384,348,250,151,200, 85,140,540,453,290,678,190,569,395,333,735,773,
671,721,631,506,494)( 15,523, 46, 24, 75, 48,360, 82,160,340,110,168,
536, 89,308,538,173,289,398,193,737,409,669,749,633,646,497,630,590,
492,434,611,268,433,387,264,237,375,208,225,123,204,449,122,680,470,
570,675,330,567,759,335,707,771,531,718)( 18, 19, 47, 52, 80, 76,356,
362,166,144, 88,112,560,537,285,286,174,177,401,417,753,745,661,665,
637,618,478,490,602,604,436,443,275,265,377,376,236,235,207,197,113,
120,456,458,682,694,582,563,311,315,763,783,727,715,519,522)
( 20,355, 54,164, 60,104,364,558,145,284, 90,196,541,397,305,734,185,
653,413,641,730,493,658,609,632,422,499,266,601,380,432,247,263,209,
365,124,232,459,206,673,134,568,451,318,679,778,587,703,323,511,774,
27,719, 43,528, 74)( 22,579, 31,332, 63,776,363,726,155,508,102, 28,
551, 33,304, 62,188,345,418,165,732,101,672,553,621,282,482,182,597,
408,445,751,269,657,385,628,226,487,210,589,128,428,471,262,685,386,
572,227,319,203,757,139,708,463,514,690) ] ],
[ 33, 2318150016, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 27)^2.(3 x D_8)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,238,723,286,312,103,516, 31,184,587,558,148,661,756,636,478,125,470)
( 2,126,722, 6,322,719,510,311,187,531,535,176,671,560,624,646,140,
638)( 3,182,727,538,316,663,532,619,170,139,554, 8,658,728,622,310,
131,526)( 4, 98,712, 34,324,579,530,143,185,755,552,484,657,476,617,
226,135,302)( 5,378,718,398,319,607,514,423,177,783,539,680,665, 84,
640,198,127,358)( 7,686,721, 62,332,215,519,339,173,391,550,400,655,
616,626,422,121,778)( 9,770,707,678,329, 75,528,199,183,363,537,372,
662,420,627,590,122,442)( 10,434,709,762,315,691,525, 59,192,223,547,
344,649,392,634,394,123,610)( 11,602,710,426,317,775,511,675,189, 83,
556,204,659,364,621,366,130,414)( 12, 42,716,566,334,159,521,731,188,
503,545,456,645,252,639,282,116,106)( 13,462,701,230,331,299,508, 87,
180, 55,548,568,670,168,633,730,132,498)( 14,714,706,314,327,523,507,
171,195,559,540,652,672,644,618,114,134, 22)( 15,350,705,370,326,411,
515,591,178,447,541,764,651,700,637, 58,136,218)( 16,574,726,146,325,
747,524,479,181,475,533,232,667,308,620, 86,124, 50)( 17,742,720,482,
321,467,505,227,191,307,536, 92,656, 56,632,562,138,162)
( 18,406,711,594,318,439,513,759,175,699,553, 64,668,224,631,338,117,
386)( 19,518,703,174,335,551,512,647,196,643,534,120,666, 28,630,702,
118,330)( 20,490,713,454,309,243,527,283,172,111,544, 36,660,588,642,
142,129,750)( 21, 70,724,202,323,355,509,367,186,419,543,596,654,448,
625,758,119,694)( 23,294,704, 90,320, 47,520,563,194,167,549,736,664,
504,629,450,113,246)( 24,210,715,342,313,383,522,395,179,615,542,428,
653,784,623,674,133, 78)( 25,266,725,258,333,271,529,255,193,279,557,
260,669,280,641,254,137,274)( 26,154,717,734,328,495,517,451,169,251,
555,288,648,112,628, 30,128,582)( 27,546,708,650,336,635,506,115,190)
( 29,240,583,306,144,101,740, 48,492,573,474,141,241,751,300,480, 97,
460)( 32,100,572, 54,156,577,754,160,493,741,468,477,237,471,281,228,
107,292)( 33,380,578,418,151,605,738,440,485,769,455,673,245, 79,304,
200, 99,348)( 35,688,581, 82,164,213,743,356,481,377,466,393,235,611,
290,424, 93,768)( 37,772,567,698,161, 73,752,216,491,349,453,365,242,
415,291,592, 94,432)( 38,436,569,782,147,689,749, 76,500,209,463,337,
229,387,298,396, 95,600)( 39,604,570,446,149,773,735,692,497, 69,472,
197,239,359,285,368,102,404)( 40, 44,576,586,166,157,745,748,496,489,
461,449,225,247,303,284, 88, 96)( 41,464,561,250,163,297,732,104,488)
( 43,352,565,390,158,409,739,608,486,433,457,757,231,695,301, 60,108,
208)( 45,744,580,502,153,465,729,244,499,293,452, 85,236, 51,296,564,
110,152)( 46,408,571,614,150,437,737,776,483,685,469, 57,248,219,295,
340, 89,376)( 49, 72,584,222,155,353,733,384,494,405,459,589,234,443,
289,760, 91,684)( 52,212,575,362,145,381,746,412,487,601,458,421,233,
779,287,676,105, 68)( 53,268,585,278,165,269,753,272,501,265,473,253,
249,275,305,256,109,264)( 61,388,214,407,347,593,374,438,401,767,595,
682,441, 65,780,203,687,357)( 63,696,217, 71,360,201,379,354,397,375,
606,402,431,597,766,427,681,777)( 66,444,205,771,343,677,385, 74,416,
207,603,346,425,373,774,399,683,609)( 67,612,206,435,345,761,371,690,
413)( 77, 80,220,211,351,341,369,382,410,403,599,598,430,429,765,763,
679,693)( 81,276,221,267,361,257,389,270,417,263,613,262,445,261,781,
259,697,273), ( 1,336,513, 92,421,310,233, 91,757,332,485,103)
( 2,252,511,764,444,478,243, 7,784,528,484,439)( 3,224,514,400,434,
618,235,567,777,724,503,691)( 4,616,522,120,445, 58,240,343,771,556,
498, 47)( 5,308,524,372,446,730,236,259,762,472,489,663)
( 6,476,517,652,425,282,244,371,782,752,488,271)( 8,448,506,232,427,
758,248,483,775, 24,504,523)( 9,112,505,316,429, 86,225,315,765,108,
477,327)( 10,420,518,624,431,562,245,707,783,696,479,215)
( 11,588,525,708,447,674,227,203,766,416,490,635)( 12,280,510,456,433,
646,229,287,776,388,502,747)( 13,672,509,288,440,366,250,735,768,276,
482,467)( 14,644,515,568,441,702,251,679,759,220,486,411)
( 15,560,526, 36,424,590,242,119,781, 80,492,355)( 16,364,519,540,442,
30,228,595,774,136,501, 75)( 17,196,521,176,437,170,241,175,773,192,
493,187)( 18,140,529, 64,436,338,239,539,778, 52,480,607)
( 19, 28,532,512,428,422,226,231,763,780,500,495)( 20,392,530,736,432,
254,230,455,769,668,481,299)( 21,728,531,680,423,198,234,399,770,640,
487,579)( 22, 56,508,596,438,114,249, 63,772,360,491,551)
( 23,168,527,148,443,142,247,147,779,164,499,159)( 25, 84,520,344,435,
534,246, 35,760,612,494,131)( 26,756,516,260,426,450,237,651,761,304,
496,383)( 27,700,507,204,430,394,238,623,767,584,497,719)
( 29,312,597,102,113,333, 65,100,337,323,541,106)( 31,200,598,410,126,
641, 67,576,357,715,559,694)( 32,592,606,130,137, 81, 72,352,351,547,
554, 50)( 33,284,608,382,138,753, 68,268,342,463,545,666)
( 34,452,601,662,117,305, 76,380,362,743,544,274)( 37, 88,589,326,121,
109, 57,324,345, 99,533,330)( 38,396,602,634,123,585, 77,716,363,687,
535,218)( 39,564,609,718,139,697, 59,212,346,407,546,638)
( 40,256,594,466,125,669, 61,296,356,379,558,750)( 41,648,593,298,132,
389, 82,744,348,267,538,470)( 42,620,599,578,133,725, 83,688,339,211,
542,414)( 43,536,610, 46,116,613, 74,128,361, 71,548,358)
( 44,340,603,550,134, 53, 60,604,354,127,557, 78)( 45,172,605,186,129,
193, 73,184,353,183,549,190)( 48,368,614,746,124,277, 62,464,349,659,
537,302)( 49,704,615,690,115,221, 66,408,350,631,543,582)
( 51,144,611,158,135,165, 79,156,359,155,555,162)( 54,732,600,270,118,
473, 69,660,341,295,552,386)( 55,676,591,214,122,417, 70,632,347,575,
553,722)( 85,309,317, 93)( 87,197,318,401, 98,617,319,569,105,701,
335,681)( 89,281,328,373,110,729,320,261, 90,449,321,653)
( 94,393,322,625, 95,561,329,709,111,673,311,205)( 96,253,314,457, 97,
645,313,289,104,365,334,737)(101,169,325,177)(107,141,331,149)
(143,219,150,415,154,639,151,583,161,723,167,695)(145,303,160,387,166,
751,152,275,146,471,153,667)(157,191)(171,213,178,409,182,633,179,
577,189,717,195,689)(173,297,188,381,194,745,180,269,174,465,181,661)
(199,206,402,406,630,627,571,581,721,727,699,675)(201,290,412,378,642,
739,572,273,706,475,685,647)(202,458,405,658,621,291,580,385,726,755,
684,255)(207,570,413,714,643,683,563,217,710,419,686,619)
(208,262,398,462,629,655,565,301,720,391,698,731)(209,654,397,294,636,
375,586,749,712,279,678,451)(210,626,403,574,637,711,587,693,703,223,
682,395)(216,374,418,742,628,263,566,469,713,671,677,283)
(222,738,404,266,622,459,573,665,705,307,692,367)(257,286,468,377,670,
733,292,272,370,474,741,656)(258,454,461,657,649,285,300,384,390,754,
740,264)(265,650,453,293,664,369,306,748,376,278,734,460) ] ],
[ 34, 3477225024, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 27)^2.(6 x Sym(3))", [ "L", [ 2, 27 ], 2 ],
[ ( 1,507,436,349,616,748, 27,526,441,350,592,737, 5,510,422,343,613,746,
17,516,439,347,614,751, 8,514,421,339,604,741, 28,524,447,358,609,
742, 4,513,425,342,590,735, 25,522,437,348,607,739, 26,527,428,346,
589,731, 16,517,448,356,615,750, 21,518,424,345,593,734, 2,511,445,
354,605,740, 19,515,446,359,596,738)( 3,520,433,364,608,755, 22,525,
434,340,597,733, 6,506,427,361,606,745, 12,523,431,362,611,736, 10,
505,423,352,601,756, 20,531,442,357,602,732, 9,509,426,338,595,753,
18,521,432,355,599,754, 23,512,430,337,591,744, 13,532,440,363,610,
749, 14,508,429,341,594,730, 7,529,438,353,600,747, 11,530,443,344,
598,729)( 15,519,435,351,603,743)( 24,528,444,360,612,752)
( 29,703,100,237,168,692, 55,722,105,238,144,681, 33,706, 86,231,165,
690, 45,712,103,235,166,695, 36,710, 85,227,156,685, 56,720,111,246,
161,686, 32,709, 89,230,142,679, 53,718,101,236,159,683, 54,723, 92,
234,141,675, 44,713,112,244,167,694, 49,714, 88,233,145,678, 30,707,
109,242,157,684, 47,711,110,247,148,682)( 31,716, 97,252,160,699, 50,
721, 98,228,149,677, 34,702, 91,249,158,689, 40,719, 95,250,163,680,
38,701, 87,240,153,700, 48,727,106,245,154,676, 37,705, 90,226,147,
697, 46,717, 96,243,151,698, 51,708, 94,225,143,688, 41,728,104,251,
162,693, 42,704, 93,229,146,674, 35,725,102,241,152,691, 39,726,107,
232,150,673)( 43,715, 99,239,155,687)( 52,724,108,248,164,696)
( 57,395,296,461,336,664, 83,414,301,462,312,653, 61,398,282,455,333,
662, 73,404,299,459,334,667, 64,402,281,451,324,657, 84,412,307,470,
329,658, 60,401,285,454,310,651, 81,410,297,460,327,655, 82,415,288,
458,309,647, 72,405,308,468,335,666, 77,406,284,457,313,650, 58,399,
305,466,325,656, 75,403,306,471,316,654)( 59,408,293,476,328,671, 78,
413,294,452,317,649, 62,394,287,473,326,661, 68,411,291,474,331,652,
66,393,283,464,321,672, 76,419,302,469,322,648, 65,397,286,450,315,
669, 74,409,292,467,319,670, 79,400,290,449,311,660, 69,420,300,475,
330,665, 70,396,289,453,314,646, 63,417,298,465,320,663, 67,418,303,
456,318,645)( 71,407,295,463,323,659)( 80,416,304,472,332,668)
(113,255,772,573,644,216,139,274,777,574,620,205,117,258,758,567,641,
214,129,264,775,571,642,219,120,262,757,563,632,209,140,272,783,582,
637,210,116,261,761,566,618,203,137,270,773,572,635,207,138,275,764,
570,617,199,128,265,784,580,643,218,133,266,760,569,621,202,114,259,
781,578,633,208,131,263,782,583,624,206)(115,268,769,588,636,223,134,
273,770,564,625,201,118,254,763,585,634,213,124,271,767,586,639,204,
122,253,759,576,629,224,132,279,778,581,630,200,121,257,762,562,623,
221,130,269,768,579,627,222,135,260,766,561,619,212,125,280,776,587,
638,217,126,256,765,565,622,198,119,277,774,577,628,215,123,278,779,
568,626,197)(127,267,771,575,631,211)(136,276,780,584,640,220)
(169,479,184,489,196,496,195,498,189,490,172,485,173,482,170,483,193,
494,185,488,187,487,194,499,176,486)(171,492,181,504,188,503,190,497,
182,480,177,481,174,478,175,501,186,493,180,495,179,502,191,484,178,
477)(183,491)(192,500)(365,367,380,377,392,384,391,386,385,378,368,
373,369,370,366,371,389,382,381,376,383,375,390,387,372,374)
(533,535,548,545,560,552,559,554,553,546,536,541,537,538,534,539,557,
550,549,544,551,543,558,555,540,542),
( 1,345,596,460,287,744,196,518,664,251, 81,329,674,633,726,556,767,153
)( 2,625,614,544,291,156,169,350,652,475, 63,749,700,521,720,248,
781,321)( 3, 37,607,404,302,212,186,126,649,503, 60,581,678,101,723,
444,766,377)( 4,569,594, 96,303,436,178,378,647, 55, 75,413,694,213,
718,136,761,489)( 5,485,592,572,286,100,191,434,654,391, 59, 49,691,
409,722,220,774,125)( 6, 93,611,432,290,380,171, 42,663,419, 78,217,
690,129,705,500,760,573)( 7,737,616,516,300,240,193,322,646,643, 82,
553,683,157,701,360,764,461)( 8,457,595,740,308,520,188,238,669,335,
58,637,698,549,711,164,757,349)( 9,597,600,292,296,184,182,658,671,
83, 77,693,689,717,724,780,769, 13)( 10,373,591, 40,299,408,190,210,
662,139, 61,497,676,577,706,108,779,433)( 11,149,589,348,288,464,175,
742,672,531, 76,245,697,325,702,640,782,545)( 12,289,604,180,294,660,
195, 70,665,699, 73,721,696,773,713, 24,765,601)( 14,653,615, 68,301,
688,185,714,668,783, 69, 21,681,605,712,304,772,181)( 15,261,603,264,
295,268,183,266,659,279, 71,273,687,269,715,276,771,265)
( 16,177,602,656,307, 72,189,686,661,727, 80,777,685, 17,709,612,768,
293)( 18,121,593,488,284,576,174, 98,667,447, 66,385,675, 45,719,416,
778,209)( 19,401,610,208,298,128,173,490,648,587, 62,105,695,437,710,
388,759, 41)( 20,233,613,320,282,632,194,546,655,167, 57,357,680,465,
707,752,784,517)( 22,205,606,124,285,492,172,574,650,111, 79,441,682,
381,703, 52,775,405)( 23,429,598,376,283, 44,187,406,666,223, 74,133,
677,493,704,584,762, 97)( 25,317,590,628,306,548,179,154,645,363, 64,
469,679,745,728,528,776,237)( 26,541,599,152,281,352,176,462,651,755,
84,525,692,241,725,332,758,629)( 27, 65,609,684,297,716,192,770,657)
( 28,513,608,236,305,324,170,630,670,559, 67,161,673,353,708,472,763,
741)( 29,355,400,470,203,746,140,509,496,228,585,314, 86,639,446,542,
375,143)( 30,635,418,554,207,158,113,341,484,452,567,734,112,527,440,
234,389,311)( 31, 47,411,414,218,214,130,117,481,480,564,566, 90,107,
443,430,374,367)( 32,579,398,106,219,438,122,369,479)
( 33,495,396,582,202,102,135,425,486,368,563, 34,103,415,442,206,382,
115)( 35,747,420,526,216,242,137,313,478,620,586,538, 95,163,421,346,
372,451)( 36,467,399,750,224,522,132,229,501,312,562,622,110,555,431,
150,365,339)( 38,383,395, 50,215,410,134,201,494,116,565,482, 88,583,
426, 94,387,423)( 39,159,393,358,204,466,119,733,504,508,580,230,109,
331,422,626,390,535)( 43,271,407,274,211,270,127,257,491,256,575,258,
99,275,435,262,379,255)( 46,131,397,498,200,578,118, 89,499,424,570,
370, 87, 51,439,402,386,199)( 48,243,417,330,198,634,138,537,487,144,
561,342, 92,471,427,738,392,507)( 53,327,394,638,222,550,123,145,477,
340,568,454, 91,751,448,514,384,227)( 54,551,403,162,197,354,120,453,
483,732,588,510,104,247,445,318,366,619)( 56,523,412,246,221,326,114,
621,502,536,571,146, 85,359,428,458,371,731)(141,337,344,456,455,735,
756,532,524,244,249,333,310,618,642,558,543,151)(142,617,362,540,459,
147,729,364,512,468,231,753,336,506,636,250,557,319)(148,449,343,736,
476,511,748,252,529,328,226,641,334,534,627,166,533,347)
(155,253,351,260,463,259,743,280,519,272,239,277,323,254,631,278,547,
263)(160,225,361,316,450,623,754,560,515)(165,309,338,624,474,539,
739,168,505,356,232,473,315,730,644,530,552,235) ] ],
[ 35, 3477225024, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PSL(2, 27)^2.(3 x Q_12)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,416,538, 3,192,553,703,194,329,709, 54,313,373, 48,733,372,160,738,
624,142,430,632,646,434,128,659,266,135,211,256,527,208,452,517,600,
459, 69,613,291, 73,109,299,577, 91,775,582,343,774,694,337,410,678)
( 2,444,548,647,182,133,715,278,331,205, 32,509,376,468,741,596,151,
66,641,282,437,100,663,574,119,771,274,359,214,676,505,404,454, 13,
612,543, 59,193,301,717,110,327,569, 35,761,386,356,746,680,141,402,
622)( 4,528,544,451,181,609,711, 82,333,289, 45, 89,383,580,735,764,
162,346,634,674,421,408,650, 14,136,547,255,191,217,704,530,320,457,
41,593,375, 76,753,288,157, 94,635,562,427,772,666,350,130,687,253,
415,202)( 5,388,552,731,176,161,710,642,310,429, 44,649,378,132,743,
260,163,206,620,506,432,464,657,602,123, 71,277,303,213, 88,523,572,
455,769,610,347, 74,697,281,409, 90, 19,584,539,759,190,357,718,698,
309,401, 34)( 6, 24,556,535,171,189,721,726,334,317, 37, 33,369,384,
748,736,148,150,626,618,422,436,660,658,126,127,267,275,219,200,508,
516,460,461,601,599, 67, 81,305,297,101,103,579,567,763,778,358,354,
690,673,393,398)( 7,780,554,339,186,693,701,418,314, 9, 52,537,367,
188,749,708,166,318,625, 30,425,380,664,742,120,155,262,639,198,424,
520,656,462,125,603,263, 79,221,284,521, 96,467,573,595,767, 78,361,
298,689, 85,411,566)( 8,164,542,619,170,441,716,670,322,121, 43,257,
387,216,732,512,152,458,629,590,431, 72,669,294,129, 99,271,583,203,
760,526,348,466,685,589,403, 62, 25,304,549, 87,187,581,707,782,330,
345, 46,677,365,412,734)( 10,640,534,423,184,665,714,138,323,261, 51,
201,368,524,740,456,153,598,627, 58,445,296,661, 98,131,575,259,779,
218,340,522,684,449,405,594, 11, 80,557,283,185,105,719,586,315,765,
50,341,382,692,729,400,146)( 12,472,545,591,179, 77,725,306,325, 93,
47,565,371,776,750,344,158,682,617,394,426, 16,668,546,115,183,273,
723,222,312,513, 40,453,377,608,739, 64,165,290,633, 86,439,576,651,
770,134,351,270,695,197,396,510)( 15,276,555,199,172,525,712,474,321,
597, 39, 61,389,300,745, 92,159,570,623,758,442,352,662,686,113,407,
258, 23,220,536,507,180,469,713,614,319, 65, 53,285,381,104,747,568,
147,766,638,338,438,688,645,406,118)( 17,108,551,563,175,777,722,362,
326,681, 29,397,370, 20,752,540,143,178,637,702,446,324,653, 42,117,
379,272,751,204,144,514,628,450,433,604,655, 70,137,295,269,107,215,
564,511,768,470,349,606,683, 57,417,286)( 18,696,533,395,174, 21,724,
558,311,177, 49,705,390,328,737, 36,145,374,636,730,428,156,654,630,
114,435,268,667,210,116,519,264,471,209,592,515, 68,473,293,605, 95,
75,585,287,773,106,355,578,679,757,414,342)( 22,360,550,675,169,413,
706, 26,332,541, 31,173,385,720,754,316,149, 38,621,366,440,744,652,
154,122,631,254,443,212,648,518,124,463,265,611,207, 60,529,292,465,
97,607,571, 63,781,302,353,102,691,561,399,762)( 27,248,559,227,195,
245,727,250,335,233, 55,229,391,244,755,232,167,234,643,226,447,240,
671,238,139,239,279,247,223,228,531,236,475,237,615,235, 83,249,307,
241,111,243,587,231,783,246,363,242,699,225,419,230)( 28,500,560,479,
196,497,728,502,336,485, 56,481,392,496,756,484,168,486,644,478,448,
492,672,490,140,491,280,499,224,480,532,488,476,489,616,487, 84,501,
308,493,112,495,588,483,784,498,364,494,700,477,420,482)(252,503),
( 1,211, 96,134,388,761,271,671, 16,155, 86, 78,382,229,265,643, 14,
547,110,414,381,705,259,587)( 2, 71,102,246,377,621,266,559, 26,407,
101,722,371,565,253,223, 12,127,108,778,383,649,268,167)
( 3,743,107,442,370,481,263,531, 25,687,104,302,374,341,273,615, 8,
463,112,190,373,313,256, 55)( 4, 43, 87,750,387,425,258,503, 11,519,
109,694,384,285,262,363, 21,603, 92,470,392,173,261,335)
( 5,267,111, 22,379, 89,274,391)( 6,491, 95,526,389,677,272,307, 10,
351,105,610,372,453,280,195, 9,323, 88, 50,367,733,275,447)
( 7,575, 85,218,376,117,276,783, 19,659,100,162,366, 61,270,251, 13,
631, 98,554,390,397,269,727)( 15, 99,106,386,369,257,279, 27)
( 17,715, 91,582,365,201,264,139, 24,771,103,666,380,145,254, 83, 18,
239, 97,638,378,537,278,419)( 20,295, 94,358,385,593,260,475, 28,183,
93,330,368, 33,255,755, 23,435, 90,498,375,509,277,699)
( 29,199,740,135,444,762,495,655,520,165,674, 76,298,234,349,637,602,
540,474,420,185,709,315,564)( 30, 59,746,247,433,622,490,543,530,417,
689,720,287,570,337,217,600,120,472,784,187,653,324,144)
( 31,731,751,443,426,482,487,515,529,697,692,300,290,346,357,609,596,
456,476,196,177,317,312, 32)( 34,479,739,527,445,678,496,291,514,361,
693,608,288,458,364,189,597,316,452, 56,171,737,331,424)
( 35,563,729,219,432,118,500,767,523,669,688,160,282, 66,354,245,601,
624,462,560,194,401,325,704)( 36,451,756,191,429,314,480, 39,507,753,
695,440,286,486,347,525,613,680,468,308,178,345,329,592)
( 37,311,732, 51,423,734,499,431,510,501,683,524,305,682,356,301,598,
344,469,616,176,457,336,172)( 38,339,749,611,428,454,504,179,513,333,
676, 48,283,738,359,441,594,484,459,532,193,681,328,284)
( 40,115,752,779,439,650,492,151,506, 81,690,244,293,626,350,553,614,
400,465,728,175,569,309,200)( 41,619,742,555,446,398,493,711,511,585,
673,216,292,122,360,777,607,652,464,168,170, 65,326,228)
( 42,535,754,415,437,706,483,571,505,221,684,132,304,766,355,665,604,
148,450, 84,186,233,321,620)( 44,143,730, 79,438,230,489,627,518,557,
698,412,297,710,343,581,589,204,460,140,192,765,327,648)
( 45,703,735,583,421,202,488,123,528,781,691,664,296,150,338, 77,606,
232,461,644,182,541,334,396)( 46,227,741,639,434,538,502,403,521,725,
679,580,281,206,348,133,612,764,467,672,184,149,310, 60)
( 47,647,744,163,422, 62,494,235,517,641,686,552,306,402,353,721,595,
568,449,224,180,121,332,760)( 49,591,736,471,448,174,485,319,508, 53,
675,748,303,430,342,497,599,512,473,700,188,289,318,340)
( 52,759,747,667,436,146,478, 67,522,249,685,636,294,542,362,413,605,
708,455,588,169,205,320,116)( 54,395,745,723,427,566,477,207,516,137,
696,776,299,654,352,161,590, 64,466,252,181,625,322,536)
( 57,214,236,125,640,770,551,670,408,157,702, 63,578,225,209,628,126,
556,782,411,661,716,147,562)( 58, 74,242,237,629,630,546,558,418,409,
717,707,567,561,197,208,124,136,780,775,663,660,156,142)
( 68,130,248,769,635,658,548,166,394, 73,718,231,573,617,210,544,138,
416,773,719,651,576,141,198)( 69,634,238,545,642,406,549,726,399,577,
701,203,572,113,220,768,131,668,772,159,646, 72,158,226)
( 70,550,250,405,633,714,539,586,393,213,712,119,584,757,215,656,128,
164,758, 75,662,240,153,618)( 80,774,243,657,632,154,534, 82,410,241,
713,623,574,533,222,404,129,724,763,579,645,212,152,114) ] ],
[ 36, 6954450048, 0, "4c", [ [ 729, 1 ], [ 54, 1 ] ], 1,
"PGammaL(2, 27) wreath Sym(2)", [ "L", [ 2, 27 ], 2 ],
[ ( 1,264, 55,527,424,377,650,100,150,722,123,687,749,176,476,406,333, 17,
572, 35,359,438,237,649,296,142,638,121,771,747, 64,468,210,332,549,
586,595,339,494,225,257,307,506,620,373,762,103, 66,720,207,696,553,
194,616,395,501)( 2,628, 37,779,439, 69,664,212,164,554,138,603,731,
484,449,266,335,521,564,371,342,102,234,705,291,674,637,177,784,411,
81, 20,208, 52,555,446,601,647,492,141,274,139,519,732,372,454, 98,
318,717,571,679,357,186,252,397,305)( 3,488, 29,275,447,517,648,380,
146,106,122,715,739,680,469,182,336,409,585, 7,348, 46,247,425,293,
646,632,149,778,131, 71,748,204,472,546,334,605,563,483,337,270,251,
509,284,366,622, 93,766,719, 67,692,217,192,560,418,613)
( 4,376, 34,107,430,713,655,688,161,190,140,407,753, 8,460, 42,331,
437,573,651,352,158,246,117,295,730,624,457,770,327, 73,580,203,360,
550,250,593,283,478,617,261,783,523, 60,384,202,108,542,726,599,675,
497,169,280,419,529)( 5,292, 30,639,429,769,663, 72,160,218,136,547,
754,596,451,490,309,269,587,511,340,382,230, 89,290,702,627,681,777,
187, 84,412,221, 24,544, 54,611,423,489,645,268,167,526,116,379,734,
92,458,714,319,689,581,175,364,410,249)( 6, 96, 38,723,431,685,665,
184,168,414,137, 15,740, 36,471,434,321,661,576,147,358,130,239,733,
288,450,630,317,773,579, 63,356,214,248,537,306,590,619,485,757,271,
83,524,200,388,538,110,598,703,487,673,273,195,532,396,389)
( 9,768, 47, 79,440,209,668,548,166,610,115,491,729,260,475,518,312,
381,566, 91,346,718,235,677,301,170,644,401,781, 19, 68, 48,219,444,
545,670,604,143,498,113,267,755,512,452,378,314,101,570,707,347,690,
245,173,308,394,641)( 10,712, 39,695,441,181,672,408,165, 22,124, 43,
751,428,461,658,324,157,582,119,351,746,232,453,294,310,633,569,763,
355, 74,244,201,304,534,642,597,759,495, 57,272,223,528,536,390,594,
87,486,701,263,699,525,172,392,398,109)( 11,684, 49,191,448,405,669,
16,152, 50,135,435,741,652,464,154,330,129,575,735,344,466,238,313,
297,562,623,345,774,243, 61,300,198,640,541,782,607, 59,496,197,276,
559,530,592,367,482, 85,262,727,515,676,385,174,112,402,725)
( 12, 40, 51,443,433,657,660,156,162,134,127,743,736,456,462,322,325,
577,567,343,354,242,229,285,282,618,625,765,775, 75, 76,216,220,556,
558,614,591,479,477,253,279,531,508,368,370, 90, 94,710,711,683,693,
189,196,420,417, 25)( 13,656, 44,163,442,125,659,744,148,470,126,323,
745,568,455,350,326,241,565,287,338,634,233,761,299, 58,636,205,780,
551, 82,608,199,500,533,278,615,507,480,365,258,111,514,704,375,678,
105,178,728,403,697, 21,180, 56,415,445)( 14,320, 45,583,427,349,662,
240,145,302,114,631,737,764,467, 70,328,213,584,539,362,606,227,481,
281,254,643,513,760,383, 62,104,206,724,543,698,609,171,504,393,277,
27,516, 32,387,426, 97,654,716,151,694,133,183,756,400,473)
( 18,236, 33,303,422,629,653,772,159, 78,132,211,752,540,474,602,311,
493,561,259,363,522,228,369,286, 86,626,709,767,691, 77,188,224,416,
557, 26,600, 31,499,421,265,671,520,144,386,118, 99,738,708,459,686,
329,185,588,399,361)( 23,432, 41,667,436,153,666,128,155,750,120,463,
742,316,465,574,315,353,578,231,341,298,226,621,289,758,635, 65,776,
215, 80,552,222,612,535,502,589,255,503,505,256,391,510, 88,374,706,
95,682,721,179,700,413,193, 28,404, 53),
( 1,667,457,581,148,190,389, 26,499,475,357,141,666,373,586,484,195,361
)( 2,219,467, 77,143,750,370,530,480,279,350,617,654,681,573,232,
185,725)( 3,751,454,525,144,274,378,642,486,699,349,225,661,709,562,
204,187, 81)( 4,275,462,637,150,694,377,250,493,727,338,197,663, 65,
563,736,174,529)( 5,107,459,413,164,330,392,446,494,559,348,113,660,
289,575, 36,175,781)( 6,527,452,273,154,638,374,698,489,251,353,701,
646,205,579, 64,171,753)( 7,779,453,105,151,414,388,334,504,447,354,
533,656,121,576,288,183, 53)( 8,191,473, 21,163,470,385,166,498,391,
362,477,671,345,561,652,177,585)( 9,583,456,189,165, 22,387,474,497,
167,358,365,670,485,587,344,169,669)( 10,695,461,245,157,722,366,222,
495, 83,339,729,650,513,564,260,182,641)( 11,415,472,329,168,442,382,
558,488,139,352,281,659, 37,567,764,173,109)( 12,135,464,301,155, 50,
371,782,481,111,347,393,668,317,588,428,186,557)( 13,247,465,721,142,
218,383, 82,479,755,342,505,648,261,574,624,178,697)( 14,639,458,693,
153,246,381,726,478,223,355, 57,647,737,566,512,172,277)
( 15, 51,455,777,145,106,375,418,500,335,364,421,662,541,572,120,184,
305)( 16,303,463, 49,147,778,369,110,487,419,360,309,672,429,578,540,
180,137)( 17,723,450,217,159, 78,367,754,482,531,340,253,658,625,570,
680,181,249)( 18,555,460,133,156,302,379, 54,483,783,341, 85,655,401,
584,316,196,445)( 19, 79,451,749,146,526,368,278,490,643,346,673,657,
233,577,708,170,221)( 20,611,468,609,160,610,384,614,496,615,356,589,
664,597,580,596,188,613)( 23,471,469,161,162,386,390,502,503,363,337,
645,653,569,568,176,193, 25)( 24,331,476,441,158,554,376,138,492,307,
351, 29,651,765,565, 92,179,417)( 27,359,449,665,149,582,372,194,501)
( 28,443,466,553,152,134,380,306,491, 55,343,757,649, 93,571,400,192,
333)( 30,203,775, 61, 87,739,398,528,312,280,434,634,542,684,125,240,
297,715)( 31,735,762,509, 88,263,406,640,318,700,433,242,549,712,114,
212,299, 71)( 32,259,770,621, 94,683,405,248,325,728,422,214,551, 68,
115,744,286,519)( 33, 91,767,397,108,319,420,444,326,560,432,130,548,
292,127, 44,287,771)( 34,511,760,257, 98,627,402,696,321,252,437,718,
534,208,131, 72,283,743)( 35,763,761, 89, 95,403,416,332,336,448,438,
550,544,124,128,296,295, 43)( 38,679,769,229,101,711,394,220,327, 84,
423,746,538,516,116,268,294,631)( 39,399,780,313,112,431,410,556,320,
140,436,298,547, 40,119,772,285, 99)( 41,231,773,705, 86,207,411, 80,
311,756,426,522,536,264,126,632,290,687)( 42,623,766,677, 97,235,409,
724,310,224,439, 74,535,740,118,520,284,267)( 45,707,758,201,103, 67,
395,752,314,532,424,270,546,628,122,688,293,239)( 46,539,768,117,100,
291,407, 52,315,784,425,102,543,404,136,324,308,435)( 47, 63,759,733,
90,515,396,276,322,644,430,690,545,236,129,716,282,211)
( 48,595,776,593,104,599,412,612,328,616,440,606,552,600,132,604,300,
603)( 56,427,774,537, 96,123,408,304,323)( 58,199,747, 62,507,732,
258,518,620,262,686,629,234,689,713,226,213,719)( 59,731,734,510,508,
256,266,630,626,682,685,237,241,717,702,198,215, 75)( 60,255,742,622,
514,676,265,238,633,710,674,209,243, 73,703,730,202,523)
( 66,675,741,230,521,704,254,210,635)( 69,227,745,706,506,200,271, 70,
619,738,678,517,228,269,714,618,206,691)( 76,591,748,594,524,592,272,
602,636,598,692,601,244,605,720,590,216,607) ] ],
[37, Factorial(784)/2,1,"2",[[783,1]],782, "Alt(784)", ["A",784, 1], "Alt"],
[38, Factorial(784),0,"2",[[783, 1]],784, "Sym(784)", ["A",784, 1], "Sym"]];
PRIMGRP[785]:=
[[1, Factorial(785)/2,1,"2",[[784,1]],783, "Alt(785)", ["A",785, 1], "Alt"],
[2, Factorial(785),0,"2",[[784, 1]],785, "Sym(785)", ["A",785, 1], "Sym"]];
PRIMGRP[786]:=
[[1, Factorial(786)/2,1,"2",[[785,1]],784, "Alt(786)", ["A",786, 1], "Alt"],
[2, Factorial(786),0,"2",[[785, 1]],786, "Sym(786)", ["A",786, 1], "Sym"]];
PRIMGRP[787]:=
[[1, Factorial(787)/2,1,"2",[[786,1]],785, "Alt(787)", ["A",787, 1], "Alt"],
[2, Factorial(787),0,"2",[[786, 1]],787, "Sym(787)", ["A",787, 1], "Sym"],
[ 3, 787, 3, "1", [ [ 1, 786 ] ], 1, "C(787)", [ "Z", 787, 1 ], [ ] ],
[ 4, 1574, 2, "1", [ [ 2, 393 ] ], 1, "D(2*787)", [ "Z", 787, 1 ],
[ [ [ Z(787)^393 ] ] ] ],
[ 5, 2361, 2, "1", [ [ 3, 262 ] ], 1, "787:3", [ "Z", 787, 1 ],
[ [ [ Z(787)^262 ] ] ] ],
[ 6, 4722, 2, "1", [ [ 6, 131 ] ], 1, "787:6", [ "Z", 787, 1 ],
[ [ [ Z(787)^131 ] ] ] ],
[ 7, 103097, 2, "1", [ [ 131, 6 ] ], 1, "787:131", [ "Z", 787, 1 ],
[ [ [ Z(787)^6 ] ] ] ],
[ 8, 206194, 2, "1", [ [ 262, 3 ] ], 1, "787:262", [ "Z", 787, 1 ],
[ [ [ Z(787)^3 ] ] ] ],
[ 9, 309291, 2, "1", [ [ 393, 2 ] ], 1, "787:393", [ "Z", 787, 1 ],
[ [ [ Z(787)^2 ] ] ] ],
[ 10, 618582, 2, "1", [ [ 786, 1 ] ], 2, "AGL(1, 787)", [ "Z", 787, 1 ],
[ [ [ Z(787) ] ] ] ]];
PRIMGRP[788]:=
[[ 1, 243721308, 1, "2", [ [ 787, 1 ] ], 2, "PSL(2, 787)",
[ "L", [ 2, 787 ], 1 ], "psl" ],
[ 2, 487442616, 0, "2", [ [ 787, 1 ] ], 3, "PGL(2, 787)",
[ "L", [ 2, 787 ], 1 ], "pgl" ],
[3, Factorial(788)/2,1,"2",[[787,1]],786, "Alt(788)", ["A",788, 1], "Alt"],
[4, Factorial(788),0,"2",[[787, 1]],788, "Sym(788)", ["A",788, 1], "Sym"]];
PRIMGRP[789]:=
[[1, Factorial(789)/2,1,"2",[[788,1]],787, "Alt(789)", ["A",789, 1], "Alt"],
[2, Factorial(789),0,"2",[[788, 1]],789, "Sym(789)", ["A",789, 1], "Sym"]];
PRIMGRP[790]:=
[[1, Factorial(790)/2,1,"2",[[789,1]],788, "Alt(790)", ["A",790, 1], "Alt"],
[2, Factorial(790),0,"2",[[789, 1]],790, "Sym(790)", ["A",790, 1], "Sym"]];
PRIMGRP[791]:=
[[1, Factorial(791)/2,1,"2",[[790,1]],789, "Alt(791)", ["A",791, 1], "Alt"],
[2, Factorial(791),0,"2",[[790, 1]],791, "Sym(791)", ["A",791, 1], "Sym"]];
PRIMGRP[792]:=
[[ 1, 239500800, 1, "2",
[ [ 210, 1 ], [ 35, 1 ], [ 350, 1 ], [ 21, 1 ], [ 175, 1 ] ], 1, "Alt(12)",
[ "A", 12, 1 ],
[ ( 1, 2, 4, 7, 12, 20, 31, 49, 74,110)( 3, 5, 9, 16, 26, 40, 62, 92,
137,201)( 6, 11, 19, 27, 42, 65, 97,145,202,290)( 8, 14, 24, 36,
57, 85,126,185,264,365)( 10, 18, 29, 45, 68,101,151,219,310,415)
( 13, 22, 34, 54, 81,120,175,250,347,358)( 15, 25, 38, 60, 90,134,186,
266,368,485)( 17, 28, 44, 67, 99,148,216,309,366,482)
( 21, 32, 51, 77,114,167,237,331,438,285)( 23, 35, 55, 82,121,177,251,
348,463,473)( 30, 47, 72,106,159,174,249,345,460,589)
( 33, 53, 80,119,168,239,334,443,570,392)( 37, 59, 88,131,193,277,381,
503,564,685)( 39, 61, 91,135,198, 56, 84,124,182,259)
( 41, 64, 95,142,209,298,332,440,566,687)( 43, 66, 98,146,213,122,179,
254,351,466)( 46, 70,104,156,222,315,420,543,596,706)
( 48, 73,108,162,230,118,173,247,344,458)( 50, 75,111,164,232,325,429,
147,214,306)( 52, 79,117,172,246,343,456,453,584,699)
( 58, 87,129,190,273,377,497,628,725,697)( 63, 94,140,206,296,404,528,
654,430,553)( 69,102,153,221,313,418,541,567,688,758)
( 71,105,157,223,316,422,544,665,467,595)( 76,113,165,234,328,434,559,
215,308,320)( 78,116,170,242,337,447,575,693,307,226)
( 83,123,180,256,354,235,329,435,560,680)( 86,128,188,269,371,488,552,
671,748,550)( 89,132,195,281,387,245,342,454,585,700)
( 93,139,204,293,326,431,554,673,749,217)( 96,143,211,302,411,457,587,
449,578,672)(100,149,208,152,220,311,416,538,555,674)
(103,155,205,295,403,437,563,683,756,785)(107,161,228,262,363,479,611,
713,759,786)(109,163,231,323,196,283,390,513,635,705)
(112,166,236,330,436,562,632,282,389,512)(115,169,241,336,445,494,626,
724,774,509)(125,183,261,361,476,374,492,624,722,754)
(127,187,268,370,486,619,238,333,441,506)(130,191,274,378,498,558,679,
753,428,551)(133,197,284,388,510,171,244,341,452,582)
(136,199,286,393,517,402,526,561,681,755)(138,203,292,399,524,651,581,
696,761,154)(141,207,297,405,529,655,675,576,150,218)
(144,212,304,412,487,588,702,338,448,577)(158,225,317,424,547,583,698,
762,787,792)(160,227,319,426,549,670,539,661,678,752)(176,252)
(178,253,350,465,594,240,335,444,571,689)(181,257,355,470,340,451,580,
694,322,305)(184,263,364,477,608,270,373,491,623,721)
(189,271,375,493,569,682,382,280,386,507)(192,276,379,500,400,433,557,
677,324,427)(194,279,385,272,376,495,406,442,568,504)
(200,288,396,518,642,294,401,525,652,739)(210,300,409,446,573,490,622,
720,750,425)(224,303,413,536,660,744,233,327,432,556)
(229,321,258,357,471,601,243,339,450,579)(248,346,462,591,704,598,708,
766,511,634)(255,352,468,597,707,384,505,516,640,730)
(260,359,474,603,709,408,531,572,690,728)(265,367,483,616,607,496,627,
532,657,741)(267,369,421,545,666,349,464,593,609,712)
(275,380,502,289,397,522,649,738,508,633)(278,383,391,515,639,353,469,
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(291,398,523,650,664,592,606,711,643,732)(299,407,530,656,636,360,475,
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(312,417,540,662,684,439,565,394,519,644)(314,419,542,663,691,625,723,
773,789,641)(356,472,602,461,590,703,765,770,731,777)
(362,478,610,501,630,527,653,740,760,776)(414,484,617,718,714,727,757,
648,737,780)(423,546,667,745,600,455,586,701,763,779)
(459,481,615,604,710,768,535,659,743,782)(480,613,716,638,729,614,717,
771,514,637)(499,629,726,775,790,767,534,658,742,781)
(521,647,736,537,618,719,772,769,631,686)(548,668,746,783,734,669,747,
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( 9, 17, 19)( 12, 21, 33)( 14, 25, 39)( 16, 27, 43)( 18, 30, 48)
( 22, 35, 56)( 24, 37, 38)( 26, 41, 42)( 29, 46, 71)( 31, 50, 76)
( 32, 52, 53)( 34, 55, 83)( 36, 58, 60)( 40, 63, 65)( 45, 69,103)
( 47, 73,109)( 51, 78, 80)( 54, 82,122)( 57, 86, 90)( 59, 89,133)
( 62, 93, 97)( 64, 96,144)( 67,100,150)( 70,105,158)( 72,107,108)
( 75,112,113)( 77,115,119)( 79,118,174)( 81,121,178)( 84,125,184)
( 85,127,134)( 87,130,192)( 91,136,200)( 92,138,145)( 94,141,208)
( 98,147,215)(101,152,207)(102,154,155)(104,157,224)(106,160,162)
(111,165,235)(114,168,240)(116,171,245)(120,176,177)(123,181,258)
(126,186,267)(128,189,272)(131,194,280)(132,196,197)(137,202,291)
(139,205,153)(142,210,301)(143,148,212)(149,217,218)(156,223,216)
(159,226,230)(161,229,322)(164,233,234)(167,238,239)(170,243,340)
(173,248,249)(175,251,349)(179,255,353)(182,260,360)(183,262,263)
(185,265,266)(188,270,374)(191,275,276)(193,278,384)(195,282,284)
(198,285,392)(199,287,288)(201,289,290)(204,294,402)(209,299,408)
(211,303,304)(213,305,321)(214,307,308)(220,312,297)(221,314,295)
(222,316,423)(225,318,425)(227,320,306)(231,324,428)(232,326,328)
(237,332,334)(242,338,449)(244,342,455)(247,345,461)(250,348,254)
(257,356,357)(259,358,473)(261,362,364)(264,366,368)(269,372,490)
(271,376,496)(274,379,501)(277,382,504)(279,386,508)(281,388,511)
(283,391,516)(286,394,396)(293,400,498)(298,406,493)(300,410,534)
(302,412,535)(309,414,537)(311,405,377)(313,403,527)(315,421,422)
(325,430,434)(327,433,558)(330,437,418)(331,439,443)(333,442,569)
(336,446,574)(339,451,581)(341,453,454)(343,457,588)(344,459,460)
(347,463,592)(351,467,596)(352,469,464)(355,471,465)(359,475,606)
(361,477,609)(363,480,614)(365,481,485)(367,484,618)(370,487,411)
(373,492,625)(375,494,495)(378,499,500)(383,505,632)(385,506,507)
(387,509,510)(390,514,638)(393,518,643)(395,521,648)(401,526,629)
(407,531,626)(409,532,533)(416,539,529)(420,544,591)(424,548,669)
(427,550,551)(429,552,559)(431,555,675)(435,561,525)(438,564,570)
(440,567,683)(444,572,530)(447,576,674)(448,488,578)(450,580,695)
(452,583,585)(458,482,589)(468,598,599)(470,600,601)(474,604,605)
(476,607,608)(479,612,597)(489,621,622)(491,624,547)(503,631,727)
(513,636,728)(515,640,731)(517,641,642)(520,646,603)(538,655,654)
(541,563,684)(543,664,665)(553,672,577)(556,676,750)(557,678,679)
(562,682,568)(565,686,757)(573,691,692)(579,694,752)(582,697,700)
(584,623,722)(587,651,702)(595,705,706)(611,714,769)(613,717,708)
(617,703,719)(620,696,720)(637,729,776)(639,689,730)(645,734,778)
(647,737,710)(649,718,772)(652,681,725)(656,690,760)(668,747,723)
(677,751,753)(680,754,721)(688,759,756)(698,739,755)(701,764,746)
(707,738,715)(709,767,735)(716,770,771)(736,779,780)(758,785,792)
(783,788,790) ] ],
[ 2, 479001600, 0, "2",
[ [ 210, 1 ], [ 35, 1 ], [ 350, 1 ], [ 21, 1 ], [ 175, 1 ] ], 1, "Sym(12)",
[ "A", 12, 1 ],
[ ( 1, 2, 4, 7, 10, 15, 23, 33, 45, 60, 81,111)( 3, 6, 9, 14, 21, 30,
42, 56, 76,103,140,186)( 5, 8, 12, 18, 26, 37, 50, 68, 91,124,167,
218)( 11, 17, 25, 36, 49, 66, 89,121,163,213,272,339)
( 13, 20, 29, 40, 54, 73, 99,134,178,231,289,357)( 16, 24, 34, 47, 62,
84,115,155,202,255,318,391)( 19, 28, 39, 53, 72, 97,132,175,227,284,
340,419)( 22, 32, 44, 59, 80,109,148,161,211,268,335,412)
( 27, 38, 51, 70, 93,127,154,201,254,317,390,468)( 31, 43, 57, 78,105,
143,187,240,256,319,392,470)( 35, 48, 64, 86,118,159,208,264,329,404,
482,553)( 41, 55, 74,101,136,181,222,281,348,425,469,541)
( 46, 61, 82,113,151,197,248,308,378,452,523,587)( 52, 71, 95,129,172,
207,263,328,403,481,551,613)( 58, 79,107,145,190,241,300,330,405,483,
554,615)( 63, 85,116,157,204,259,322,394,472,524,588,646)
( 65, 88,120,162,212,270,337,414,491,561,622,674)( 67, 90,122,165,215,
262,327,401,453,525,589,568)( 69, 92,125,168,219,277,309,379,454,526,
590,428)( 75,102,138,183,236,283,350,426,499,552,614,667)
( 77,104,141,171,224,249,310,380,456,529,594,652)( 83,114,153,199,252,
313,384,461,534,601,659,706)( 87,119,160,210,266,333,408,485,556,617,
647,698)( 94,128,170,223,282,349,395,473,543,591,648,699)
( 96,131,174,226,269,336,413,490,560,621,673,715)( 98,133,176,229,286,
353,402,480,527,592,649,501)(100,135,179,232,290,358,431,455,528,593,
650,352)(106,144,188,235,295,323,396,474,545,595,653,701)
(108,147,192,244,303,371,415,492,562,623,675,716)(110,149,193,117,158,
206,261,326,399,477,548,602)(112,150,195,245,304,373,446,515,578,635,
685,194)(123,166,217,275,305,374,448,518,581,639,497,565)
(126,169,221,279,346,385,462,535,603,660,342,420)(130,173,225,246,306,
375,450,521,584,642,692,730)(137,182,234,294,363,437,508,544,609,651,
700,736)(139,185,238,297,239,298,365,439,510,573,630,680)
(142,156,203,257,314,386,463,516,579,636,687,725)(146,191,242,302,369,
409,486,557,618,670,702,737)(152,198,250,311,381,457,530,596,654,686,
724,707)(164,214,267,334,410,447,517,580,638,689,729,750)
(177,230,288,355,429,449,520,583,641,691,421,496)(180,233,292,360,434,
504,536,604,661,708,273,341)(184,237,296,320,393,471,542,585,643,693,
731,752)(189,209,265,331,400,478,549,611,637,688,727,749)
(196,247,307,376,361,435,505,569,606,662,697,734)(200,253,315,387,464,
433,503,567,600,658,705,738)(205,260,324,397,475,546,597,655,703,726,
216,274)(220,278,344,382,458,531,598,656,345,422,460,533)
(228,285,351,411,488,519,582,640,690,566,626,678)(243,271,338,416,489,
559,620,672,714,728,751,765)(251,312,383,459,280,347,423,465,537,605,
645,696)(258,321,388,466,538,506,570,627,663,709,735,755)
(276,343,377,451,291,359,432,502,532,599,657,704)(287,354,427,325,398,
476,547,610,424,498,540,607)(293,362,436,507,571,608,664,710,739,757,
769,779)(299,366,440,511,574,631,681,720,746,762,774,783)
(301,368,406,484,555,616,669,694,732,753,766,777)(316,389,467,539,356,
430,500,522,586,644,695,733)(332,407,479,550,612,666,628,679,719,745,
756,768)(364,438,509,572,629,668,712,740,758,771,780,787)
(367,441,512,575,632,682,721,747,763,775,784,789)(370,443,487,558,619,
671,713,665,711,741,759,770)(372,445,493,563,624,676,717,743,754,767,
778,786)(417,494,418,495,564,625,677,718,744,761,772,781)
(442,513,576,633,683,722,742,760,773,782,788,791)(444,514,577,634,684,
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( 10, 16)( 12, 19)( 14, 22)( 18, 27)( 21, 31)( 24, 35)( 29, 41)
( 33, 46)( 38, 52)( 43, 58)( 47, 63)( 48, 65)( 49, 67)( 50, 69)
( 55, 75)( 56, 77)( 61, 83)( 64, 87)( 70, 94)( 71, 96)( 72, 98)
( 73,100)( 78,106)( 79,108)( 80,110)( 81,112)( 85,117)( 90,123)
( 92,126)( 95,130)(101,137)(102,139)(104,142)(107,146)(113,152)
(114,154)(115,156)(119,161)(121,164)(124,166)(128,171)(133,177)
(135,180)(138,184)(140,173)(144,189)(149,194)(150,196)(153,200)
(157,205)(158,207)(159,209)(165,216)(168,220)(169,222)(175,228)
(178,230)(182,235)(186,239)(187,237)(191,243)(195,246)(197,249)
(198,251)(202,256)(203,258)(206,262)(210,267)(211,269)(212,271)
(213,268)(214,273)(217,276)(221,280)(223,250)(224,283)(229,287)
(232,291)(233,293)(240,299)(241,301)(245,305)(248,309)(252,314)
(253,316)(255,317)(257,320)(259,323)(260,325)(264,330)(265,332)
(272,340)(274,342)(278,345)(285,352)(288,356)(292,361)(294,324)
(295,364)(300,367)(302,370)(303,372)(307,377)(311,382)(313,385)
(315,388)(322,395)(326,400)(327,402)(329,403)(331,406)(333,409)
(334,411)(337,415)(338,417)(339,418)(343,421)(347,424)(354,428)
(359,433)(369,442)(371,444)(373,447)(374,449)(378,453)(379,455)
(383,460)(387,465)(390,469)(397,457)(399,456)(401,479)(408,450)
(410,487)(412,489)(414,490)(416,493)(422,497)(430,501)(435,506)
(446,516)(448,519)(451,522)(452,524)(454,527)(458,532)(461,518)
(462,536)(467,540)(473,544)(476,531)(481,552)(498,566)(503,568)
(510,560)(521,585)(526,591)(529,595)(530,597)(533,600)(534,602)
(535,583)(537,606)(541,608)(570,628)(573,631)(579,637)(587,645)
(588,647)(593,651)(598,654)(603,652)(605,644)(607,663)(609,665)
(614,668)(635,686)(643,694)(646,697)(648,692)(653,702)(655,689)
(657,703)(659,707)(661,701)(678,719)(679,718)(681,721)(687,726)
(688,728)(699,735)(700,731)(705,724)(710,740)(712,742)(727,750)
(732,754)(736,756)(741,753)(746,758)(747,764)(757,770)(759,772)
(763,773)(771,777)(782,786) ] ],
[3, Factorial(792)/2,1,"2",[[791,1]],790, "Alt(792)", ["A",792, 1], "Alt"],
[4, Factorial(792),0,"2",[[791, 1]],792, "Sym(792)", ["A",792, 1], "Sym"]];
PRIMGRP[793]:=
[[1, Factorial(793)/2,1,"2",[[792,1]],791, "Alt(793)", ["A",793, 1], "Alt"],
[2, Factorial(793),0,"2",[[792, 1]],793, "Sym(793)", ["A",793, 1], "Sym"]];
PRIMGRP[794]:=
[[1, Factorial(794)/2,1,"2",[[793,1]],792, "Alt(794)", ["A",794, 1], "Alt"],
[2, Factorial(794),0,"2",[[793, 1]],794, "Sym(794)", ["A",794, 1], "Sym"]];
PRIMGRP[795]:=
[[1, Factorial(795)/2,1,"2",[[794,1]],793, "Alt(795)", ["A",795, 1], "Alt"],
[2, Factorial(795),0,"2",[[794, 1]],795, "Sym(795)", ["A",795, 1], "Sym"]];
PRIMGRP[796]:=
[[1, Factorial(796)/2,1,"2",[[795,1]],794, "Alt(796)", ["A",796, 1], "Alt"],
[2, Factorial(796),0,"2",[[795, 1]],796, "Sym(796)", ["A",796, 1], "Sym"]];
PRIMGRP[797]:=
[[1, Factorial(797)/2,1,"2",[[796,1]],795, "Alt(797)", ["A",797, 1], "Alt"],
[2, Factorial(797),0,"2",[[796, 1]],797, "Sym(797)", ["A",797, 1], "Sym"],
[ 3, 797, 3, "1", [ [ 1, 796 ] ], 1, "C(797)", [ "Z", 797, 1 ], [ ] ],
[ 4, 1594, 2, "1", [ [ 2, 398 ] ], 1, "D(2*797)", [ "Z", 797, 1 ],
[ [ [ Z(797)^398 ] ] ] ],
[ 5, 3188, 2, "1", [ [ 4, 199 ] ], 1, "797:4", [ "Z", 797, 1 ],
[ [ [ Z(797)^199 ] ] ] ],
[ 6, 158603, 2, "1", [ [ 199, 4 ] ], 1, "797:199", [ "Z", 797, 1 ],
[ [ [ Z(797)^4 ] ] ] ],
[ 7, 317206, 2, "1", [ [ 398, 2 ] ], 1, "797:398", [ "Z", 797, 1 ],
[ [ [ Z(797)^2 ] ] ] ],
[ 8, 634412, 2, "1", [ [ 796, 1 ] ], 2, "AGL(1, 797)", [ "Z", 797, 1 ],
[ [ [ Z(797) ] ] ] ]];
PRIMGRP[798]:=
[[ 1, 253130388, 1, "2", [ [ 797, 1 ] ], 2, "PSL(2, 797)",
[ "L", [ 2, 797 ], 1 ], "psl" ],
[ 2, 506260776, 0, "2", [ [ 797, 1 ] ], 3, "PGL(2, 797)",
[ "L", [ 2, 797 ], 1 ], "pgl" ],
[3, Factorial(798)/2,1,"2",[[797,1]],796, "Alt(798)", ["A",798, 1], "Alt"],
[4, Factorial(798),0,"2",[[797, 1]],798, "Sym(798)", ["A",798, 1], "Sym"]];
PRIMGRP[799]:=
[[1, Factorial(799)/2,1,"2",[[798,1]],797, "Alt(799)", ["A",799, 1], "Alt"],
[2, Factorial(799),0,"2",[[798, 1]],799, "Sym(799)", ["A",799, 1], "Sym"]];
PRIMGRP[800]:=
[[1, Factorial(800)/2,1,"2",[[799,1]],798, "Alt(800)", ["A",800, 1], "Alt"],
[2, Factorial(800),0,"2",[[799, 1]],800, "Sym(800)", ["A",800, 1], "Sym"]];
PRIMGRP[801]:=
[[1, Factorial(801)/2,1,"2",[[800,1]],799, "Alt(801)", ["A",801, 1], "Alt"],
[2, Factorial(801),0,"2",[[800, 1]],801, "Sym(801)", ["A",801, 1], "Sym"]];
PRIMGRP[802]:=
[[1, Factorial(802)/2,1,"2",[[801,1]],800, "Alt(802)", ["A",802, 1], "Alt"],
[2, Factorial(802),0,"2",[[801, 1]],802, "Sym(802)", ["A",802, 1], "Sym"]];
PRIMGRP[803]:=
[[1, Factorial(803)/2,1,"2",[[802,1]],801, "Alt(803)", ["A",803, 1], "Alt"],
[2, Factorial(803),0,"2",[[802, 1]],803, "Sym(803)", ["A",803, 1], "Sym"]];
PRIMGRP[804]:=
[[1, Factorial(804)/2,1,"2",[[803,1]],802, "Alt(804)", ["A",804, 1], "Alt"],
[2, Factorial(804),0,"2",[[803, 1]],804, "Sym(804)", ["A",804, 1], "Sym"]];
PRIMGRP[805]:=
[[1, Factorial(805)/2,1,"2",[[804,1]],803, "Alt(805)", ["A",805, 1], "Alt"],
[2, Factorial(805),0,"2",[[804, 1]],805, "Sym(805)", ["A",805, 1], "Sym"]];
PRIMGRP[806]:=
[[ 1, 7254000000, 1, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5)",
[ "L", [ 4, 5 ], 1 ],
[ ( 1,410,522,792,545,608, 55,742,253,142,328,395,747,380,302,421,468, 54,
235,527,520,648,763,263,632,521,575,714, 98,778,458)( 2,587,291,761,
76,171,270,516, 39,241,695,570,504, 69,180,694,169,276,234,777,535,
509,350, 91, 73,372,662,749,166,446,323)( 3,565, 60,524,719,668,540,
602,572,481,723,498,704, 43,318,449, 52,135, 84, 83,564,106,244,610,
32,414,205,702,674,776,599)( 4,657, 86,219,408, 50,772,643,356,186,
208,430,717, 71,258,515, 19,601,316,361,339,285,164,726, 56, 74,487,
330,412,207, 35)( 5,319,635,389,569,789,280,191,779, 22,733,800,269,
68,204,242,211,252,433,399,146,194,184,566,765,392,584,213,119,594,
739)( 6, 41,494,622,351,672,368,398,308,579,467,218,179,543,637,315,
116,649,558,457,744,454,782,130,751,246, 24,459,631, 82,438)
( 7,192,275, 95,332, 13,268,686,105, 58,162,532,768,788,613,780,140,
423,729,519,512, 87,531,595,588,781,462,455,740,369,158)
( 8,709,168,461,511,727, 37,639, 26,295,746,757,267, 15,334, 53,139,
589,712,111,785,299,300,731,364,314,165,745,721,394,604)
( 9,274,160,606, 49,138,680,450,651, 38,255,658,581,348,203,100,403,
210,163,444,189,337,598, 79, 78, 97,136, 33,120,592,497)
( 10,715,411,493,473,391,703,251,214,713,618,215, 48,407,612,478,224,
333,155,374,131,600, 11,442,240,193,201,102,176,310,432)
( 12,634,748,322,437,547,718, 80, 29,607,567,264,441,663,402,646,426,
470,685,453,624,577,452,526,585, 93,320,358, 77,762,206)
( 14,266,367,149,490,217,301,338,223,750, 66,590,347,250,706,692,124,
654,198, 62,773,644,673,645,340,756, 63,474,699,344,614)
( 16,245,230,159,578,260,533,482,195,173,271,227,784,806,261,544, 34,
787, 42,491,682,555,237, 96,282,507,666,325,471,428,273)
( 17,771,582,341, 59,774,728,636,630,114,133,693,363,170,388,596,126,
737,349,220,383,225,665,791,152,736,766,502,797,265,573)
( 18,486,500,279,284,463, 65,104,281,720,216, 47,233,659,427,107,370,
615,769,523,384, 92,424,443,221,701,190,226,445, 30,597)
( 20,174,231,754,611,621,196,619,154,488,134,799,626,642,623,722,801,
477,620,353,312,112,382,145, 44,409,355,752,247,501,212)
( 21,118,303,396,362,113,420,735,381,661, 99,306,129,202,593,342,178,
283,561,345,641,209,539,546,617,386,103,346,586,530,552)
( 23,696,571,434,753,537,404,228,793,549,732,489,385,476,609,513,157,
707,764,153,675,480,466,172,326,354,429,415,697,795,128)
( 25,448,492,393,376,670,123,758,286,794,803,132,390,309,439,656,324,
440,755,688,317,199,117,248,628,397,534,197,605,479,557)
( 27,563,616,257,456, 64,151,553,331,297,229,167,541,767,379,417,406,
329,538, 94,371,804,182,311,422, 88,629,431,288,290,559)
( 28,691,413,495,200,484,262,366,770,238,529, 45,542,679,716,633,710,
365,451,503,292,278,181,741,802,528,485,110,510,690,147)
( 31,307,760,436,336,277,759, 40,653,667,378,293,638,700,122,222,551,
352,418,101,254,419,464,148,671,647,550,305,580,576,343)
( 36,185,156,177,603,144,296,287,125,137,289,805,298,187,664,108,294,
321,259,141,360,121,684, 85,525,711,568,256, 90,517,496)
( 46,681,109,689,591,783,377,127,669, 81,560, 89,640,249,508,518,469,
683,472,183,786,698, 72,387,304,738,677,175,574,460,734)
( 51,232,416,687,548,660,798,796, 70,627,475,161,239, 67, 57,562, 61,
743,556,150,425,115,705,790,505,327,678,499,514,775,483)
( 75,655,236,143,725,357,583,554,625,401,465,359,650,272,676,724,435,
400,506,536,652,335,708,313,188,447,405,730,243,375,373),
( 1,507,464,270,376, 55,264,763,569,519,378, 65,281,408,612,107,636,
412,296,799, 71, 82,805,561)( 2,450,253, 78,550,534,388,348,545,241,
631,159,314,480,153, 23,596,700,783,538,629,564, 84,352)
( 3,137, 45,476,175,436,720, 94,133,104,315, 11,157,531,339,210,204,
372,708,423,655,552,417,610)( 4, 13, 28, 87,128,280,415,410,639,297,
439,698,112,757, 24,632,506,762, 52,124,256, 9, 27,570)
( 5,695,400,751,738,312,262,587,474,710,340,686,180,332,166,699,692,
790,622,599,541,117, 77,350)( 6,430, 21,794,685,542,389,765,681,338,
261, 41,588,152,741,766,473,283,194,384,131,667,370,607)
( 7,539,367, 25, 8,245,171,651,532, 69,671,222,220,428,434,633,796,
615,136,453,239,278,154,300)( 10,161,549,305,753,802,560,689,320, 46,
97,349,623,677,682,679,503, 66,233,465,114, 26,333, 47)
( 12,775,279,551,777,247,396,406,646,289,269,255,271,101,395,559,199,
661,684,219,554,132,791,673)( 14,540,793,187,647,444,443,365,730,452,
282,115,411,797, 88, 44,295, 85,229,331,285,144,512,186)
( 15,393,341,774,323,509,418,198,581,676,435,498,557,145,354,426,209,
491,362,263,729,196,748,420)( 16,242,123,327,250,499,286, 57,477,227,
206,188,518,122,302,472,163,649,251,179,565,168,461,669)
( 17,150,580,598,373,752)( 18,116,236,252,792,183,195, 48,781,160,711,
801,756,105,213,345,265,257,687,177,317,143,100,716)( 19,397,379,703,
609, 53,579,490,211,780,773,608,737,298, 89,502,425,353,301,176,424,
59, 91,713)( 20,103,457,723,336,517,216,625,402,469,600,468,142,208,
592,488,422,182,192,645,511,784,714,266)( 22, 51,650,706,759,108,798,
548,322,523,451,126,656,324,162,440, 99, 50,200,191,234,585,543,328)
( 29,335,527,237,205,742,486,553,764,326, 95,371,709,619,721,329,437,
525, 79,368,705,217, 33,758)( 30, 68,520,334,118,591,165,772,642, 86,
70,405,185,147,630,409, 39,390,594,513,359,399, 75,113)
( 31,743,495,102,446,319,694,235,369,311,590,614,670,556,225, 36,634,
173,482,514,536,605,290,343)( 32,535,293,613,755,744,138,696, 35,274,
497,419,485,478,407,318,304,398,640,364,566,508,197,258)
( 34,736,567,662, 98,445,660,617,374,562,572,574,734,203,215,275,745,
43,733, 38,754,121,141,690)( 37,715,602,310,691, 63,363,109,573,307,
375,606,771,169,214,666,688,158,244,604,151,238,727,484)
( 40,785,641,500,172,693,284,776,701,414,575,806,221,779,501,178,467,
659,571,739, 60,529,455,230)( 42,718,577,492,433,712,259,611,494,654,
496, 92,760,576,702,316,463,804,510,683,582,246,618,207)
( 49,487,321, 67,462,620,458,357,164,232,483,675,657,635,740,668,749,
589,387,254,249,380,358,361)( 54,664, 83,135,678,722,653,416,616,544,
724,672)( 56,768,597,767,732,489,167,515,149,481,391, 93,231,568,294,
288,267,292,190,505,325,111,125,595)( 58, 61,226,228,212,139)
( 62,725,119,526,586,697,218,787,356,181,504,146,643,665,778,761,360,
276,707, 74,726,621,193, 81)( 64,442,342,392,140,528,381,788,680,273,
583, 80,466,299,383,735,431,475,522,243,404,459,728,401)
( 72,403,344,448,521,148,537,351,584,524,555,202,309, 73,184,803, 76,
782,306,624,460,719,637,432)( 90,750,626,134,287,493,129,628,174,120,
533,578,130,441,530,516,601,366,479,272,456,413,547,347)
( 96,593,644,223,470,313,110,155,731,260,382,385,627,330,268,746,308,
337,303,648,449,394,277,291)(106,795,800,558,355,770,438,386,652,427,
127,789)(156,170,224,603,658,201,429,769,377,189,454,563,638,546,471,
674,704,786,747,240,447,248,421,663) ] ],
[ 2, 14508000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).2",
[ "L", [ 4, 5 ], 1 ],
[ ( 1,414,603, 30,486)( 2,264,715,196,154)( 3,411, 54,180,774)
( 4,532,258,181,740)( 5,335,686,279, 37)( 6, 33,272, 16,155)
( 7,732,613,235,429)( 8,701,334,442,290)( 9,270,208,332,798)
( 10,149, 38,676,232)( 11,111,350,397,649)( 12, 29,243,424,197)
( 13,130, 71, 36,497)( 14, 51,333,596,764)( 15,158,291,490,210)
( 17,352,667,619,682)( 18,794,359,736, 43)( 19,438,704,507,409)
( 20, 63,755,653,452)( 21,675, 52,706,598)( 22,377, 49,793,254)
( 23,278,734,743, 61)( 24,347,140,479,144)( 25,260,534, 44,778)
( 26,224,436,443,348)( 27,584,303,151,480)( 28,460, 73,218,275)
( 31,637,302,581,528)( 32,153,714,118,521)( 34,122,694,474,609)
( 35,657,662,404,152)( 39, 48, 92,398,222)( 40,170,696,691,570)
( 41,250,661, 58,252)( 42,384,633,282,644)( 45,594,651,465,168)
( 46,550,353,304,156)( 47,544,556,655,464)( 50,451,408,202,199)
( 53,420,327,648,179)( 55,183,614,489,285)( 56,469,142,351,622)
( 57,110,400,306, 89)( 59,683,754,533,386)( 60, 91,776,403,138)
( 62,551,541,611,253)( 64,656,762,504,629)( 65,119,537,178,441)
( 66,514,191,505,143)( 67,540,205,310,566)( 68,799,590,458,372)
( 69,625,589,470,432)( 70,804,672,523,448)( 72,354,104,636,214)
( 74,671,388,357,317)( 75,167,491,737,539)( 76,374,481,482,160)
( 77,422,695,483,723)( 78,297,511,664,757)( 79,771,522,477,510)
( 80,586,617,295,292)( 81,249,779,693,718)( 82,650,642,390,195)
( 83,439,493,371,530)( 84,378,733,488,688)( 85,745,134,213,654)
( 86,529,679,719,801)( 87,643,241,615,307)( 88,462,761,692,735)
( 90,645,620,239,355)( 93,146,139,381,699)( 94,410,652,710,461)
( 95,583,124,324,459)( 96,519,728,120,182)( 97,698,325,188,772)
( 98,396,236,806,665)( 99,107,255,229,601)(100,450,128,790,476)
(101,440,300,136,478)(102,641,471,233,338)(103,276,209,172,605)
(105,673,712,217,399)(106,280,569,746,125)(108,501,631,185,722)
(109,446,496,547,454)(112,666,487,574,721)(113,426,207,453,681)
(114,747,680,748,475)(115,763,627,770,711)(116,360,727,543,192)
(117,284,288,785,575)(121,738,697,273,206)(123,659,175,713,766)
(126,795,572,582,361)(127,616,602,791,456)(129,768,308,315,137)
(131,499,330,512,468)(132,703,599,262,720)(133,247,535,187,677)
(135,783,173,244,687)(141,524,536,376,345)(145,365,230,513,587)
(147,171,752,607,294)(148,800,568,189,780)(150,242,312,803,383)
(157,787,495,577,669)(159,265,176,579,777)(161,580,271,237,266)
(162,565,228,447,369)(163,660,750,545,393)(164,434,346,658,342)
(165,744,212,670,500)(166,395,246,508,515)(169,595,435,618,444)
(174,428,216,525,769)(177,725,604,624,198)(184,610,274,775,558)
(186,256,375,251,758)(190,518,449,363,597)(193,707,391,419,425)
(194,263,211,286,379)(200,554,668,221,257)(201,366,555,751,311)
(203,301,646,716,526)(204,634,423,516,749)(215,380,227,339,322)
(219,367,678,320,548)(220,531,289,578,784)(223,463,546,364,405)
(225,690,606,612,742)(226,520,640,509,494)(231,805,663,430,781)
(234,412,796,337,358)(238,309,492,267,538)(240,287,385,632,567)
(245,739,705,708,564)(248,344,472,623,437)(259,416,724,506,549)
(261,684,319,729,562)(268,760,392,433,387)(269,318,588,756,792)
(277,296,542,782,638)(281,349,457,591,331)(283,621,321,328,421)
(293,709,552,628,313)(298,340,485,336,765)(299,527,700,406,305)
(314,467,647,553,789)(316,401,786,502,323)(326,576,753,759,402)
(329,560,362,356,407)(341,702,685,773,382)(343,394,415,427,726)
(368,592,370,413,593)(373,557,608,418,741)(389,466,635,788,802)
(417,730,600,639,473)(431,559,573,767,674)(445,571,626,717,585)
(455,630,561,689,731)(484,563,503,498,517),
( 1,104,203,479,207,540,414,113,451,778, 86,259,534,629,447,182,611,
515,173,298,401,590,628,701,642,158,580,234,596,669, 37, 33,287,131,
519,524,411,620,117,710,507, 23,347,251,454, 13,579,363,499,506,329,
58, 47,396,679,605,295,290,674,485,638,340,423, 31,101,762,425,166,
341,303,338,265,677,416,582,586,155,725)( 2,554,222,313,379,607,196,
112,750, 92,604,671,373,676,631, 15,557,102,174,715,165,392,672,792,
667,283,241,409,797,721,343,495,172,418,380,277,144,724,353,633,141,
599,597,209,795, 12, 89,687, 30,555,361, 95,771,190,206,324,694,291,
99,367,202, 66,774,266,468,625, 90,440,326, 25,443,525,169,690,559,
257, 49,776)( 3,171,163,663,327,242,263,218,720,530,272,247,482,575,
481,332,744,470,661,647,431,393,110,302,275,742,274,643,653,210,595,
77,598, 16,176,617,531,270,108,344, 65,632,267, 40,191,318,639,483,
375, 17,583,309, 68,569, 71,585,192,678,310,124,682,546, 7,449,551,
369,536,460,433,570,137, 38, 75,352,427,728,453,434)( 4,154,528,142,
581,282,450,641,278, 21,168,705,252,514,428,439,709,780,467,279,685,
399, 11,751,796,157,437,527,441,719,547, 36,489,188,550,348,114,501,
305,170,164, 55,153,334,564,233, 93,317,134, 81,718,697,666,351, 85,
511, 67,366,426,652,356,420,699,199,219,215, 53,148,731,734,768,783,
490,106,474,457,573, 14)( 5,297,670,612,476,187,412,211,200,407,384,
552,475)( 6,280,572,442,500, 73,455,223,268,246,335,130, 26,584,574,
791,743,381,284, 78,128,314, 91,410,804,606,508,208,256,285,767, 82,
413,400,787,135,541,518,156,178,665,214,405,136,659,315,640,198,695,
432,175,571,654,668, 34,364,345,421, 60, 61,626,116,770,729,296,520,
56,498, 83,378,226,805,726,802,111,370,516,248)( 8,231,733,306,730,
740,368,503, 18,538, 98,376,543,127,602, 24,621,445, 20,281,299,217,
232,244, 29,657,578,204,651,727,760,161,735,544, 35,261,403, 32,461,
221,553,321,613,404,422,194,391,497,386,509,737,656,473,692,636,458,
623, 88,700,680,365,186,627, 45,542,145,646,649,362,704,658, 59,301,
300,140,713, 10,693)( 9,181, 39,517,683,513,630,245,749,773, 97,448,
307,645,493,644, 87,601,799,781,464,722, 94,560,339,806,526,205,759,
385,308,798,446,162,745,322,289,660,772,118,562,512,105,702,262,138,
477,197,736,755,615,213,424,330,323,360,179, 44, 62,228,484,250,529,
253, 57,466,438,505,377,212,784,609,691,790,225, 48,793,600)
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398,122, 69,459,549,462,371,417,387,650,227,319, 64,494, 42,394, 96,
637,766,619,522,568,402,346,686,224,753,732,746, 51,603,486,103,229,
567,336,510, 22,788,435,681,561,539,333,739, 27,184,139,429,152,716,
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504,616,523,502,698,355,239,707,622,240,664,230,260,358, 79, 80,195,
723,785,350,444,415, 46,238,558,201,395,312,123,800,354,673,316,610,
496,372,577,708,591,576,491,565,758,304,765,587,775,714,608,311,480,
328,150,331,548,167,292, 84,258,779,488,337,757,764,634,236,264)
( 50,382,706,794,717,185,397,741,472,563,712,276,754,271,593,249,273,
320,143,132, 63,618,119,738,786,803,235,342,801,478,589, 54,151,487,
129,125,255,120,748,243,254,711,655,592, 74,469,545,177,465,533,288,
789,537,160,756,149,430, 72,159, 70,388,556,269,456,689,614,761,769,
436,359,286,183,782,452,107,703,147,747) ] ],
[ 3, 14508000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).2",
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259,575,606,675,330,782,705,468,530,348,165,346,495,211,440,183, 93)
( 3,377,629,710,712,778, 52,759, 34,403,697,334,294)( 4,234,323,240,
231,472,717, 6,658,229,642,242,295,482,313,155,465,312,494,277,743,
504,221,644,361,407)( 5,645,790,559,767,599,777,687,198,282,395,714,
378,422, 72,432,169,151,479,587,162,366,510, 94,583,789)
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255,498,445,732,605,638, 85,197,520,527,480,663,373,184)
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25,561,333,174,462)( 20,246,450,765,159,388,490,464,396,639,505,405,
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180,572,619,276,491, 75,753,204,311,618)( 33,736,203,237,489,794,297,
531,406,230,371,672,688,352, 88,737,515,581,653,362,265,585,137, 91,
592,640)( 35,110,135,792,402,772,806,150,145,428,549,381,260)
( 37,222,177,764,497,746,188,508,729,111,558,539,776,286,369,149,201,
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507,752,433,447,754, 99,473,544,528,357,125,671, 69,144,667,711,476,
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( 42,774,750,542,132,307,193, 47,394,341,563,582,784,124,324,354,228,
779,421,191,182,702,344,785,682,317)( 49,522,589,553,708,719, 66,322,
623,758,499,664,292,101,127,108,138, 58,308,418,358,595,123,280,541,
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538,272,424,387,283,449)( 62,517,731,673,600,320,355,796, 89,187,269,
64,492,331,518,588,573,141,551,157,252,434,130,801,139,660)
( 63,213,798,802,104,626, 77,526,478,662,400,678,134,579, 82,131,241,
597,648,724, 74,194,460,133,725,570)( 65,631,693,674,474,506,267,467,
199,793,557,452,669)( 73,411,695,751,730,224,795,181,726,239,733,607,
443,552,302,115,160,420,306,216,152,220,763,140,722,484)
( 78,167,502, 83,227,336,347,458,469,723,761,580,756,245,274,565,734,
493,147,195,594,500,656, 81,376,744)( 84,289,113,382,142,288,562,646,
521,215,281,136,803,107,650,262,102,384,441,633,630,602,430,655,748,
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( 1, 65,798,380,658,485, 55,711,550,648,393,427)( 2,657,565, 98,520,
304,722,182,192,747,302,314)( 3,398, 36,119,240,432, 91,222,365,140,
498,294)( 4,564,326,333,352,215,337,205,661,246, 77,715)
( 5,580, 49,649,193, 96,603,625,426,172,364,523)( 6,315,330,324,771,
656,796,439,147,349,577,784)( 7,399,686,688,387, 13,699,768,633,793,
734,343)( 8, 78,220,579,204,378,514,402,145,392,535,540)
( 9, 75,253,766,493,401)( 11,179,151,746,111,121,706,645,624,622,712,
447)( 12,704,262,743,526,167, 46,674,216,574, 68, 69)
( 14,112,299,698,605,247,783,630,677,626,552,210)( 15,759, 87,507,250,
703,578,730,307,259,646,777)( 16,543,787,653,341,522,751,664, 29,353,
350,527)( 17,453,450,224,635,499,218, 94,254,207,434,188)
( 18,558,478,584,437,290,197,683,670,675,321, 84)( 19,293,340,143,480,
86,335,472,157,780,806,306)( 20,720,627,482,442, 85,303,486,280,379,
386,503)( 21,463,724,122,291,735,705,194,368,256,416,504)
( 22,155, 59,144,529,417,282,599,582,663,799,490)( 23,654,178,285,270,
559,786,502, 81,273,412,466)( 24,531,199,316,567,651,409,165, 82,785,
99,547)( 25,708,377,754,497,479,602,533,116,532,464,433)
( 26,424,634,229,360, 90,652,689,473,592,232,183)( 27,710, 73,230,431,
660,419,131,481,665,488,619)( 28,644,782,610,185,518,288,744,376,756,
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348,114)( 34, 39, 74,347)( 35,319,264,474,608,515,413,513,408,168,
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( 38,198,357,600,737,494,212,802,115,563,487,201)( 40,788,272,126,308,
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( 43, 88, 50,613,149,760,248,569, 76, 53,105,669)( 44,691,601,171,732,
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( 48,148,733,425,322,191,790,311,696,372,725,161)( 51,174,118,459,351,
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556,195)( 56,616,542,774,460,748,803,261,356,323,267,772)
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( 64,566,410)( 66,305, 83,278,640,389,549,164,702,680,320,234)
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342,219,690,589,400,113,184)(102,778,775,366,443,555,767,395,420,596,
723,153)(103,137,789,190,739,274,620,718,318,214,446,637)
(107,454,510,797,594,611,647,239,289,325,124,736)(108,404,458,180,650,
363)(110,187,679,445,373,397,541,631,455,283,275,615)(117,666,297,159
)(123,477,591,266,158,228,506,181,139,606,258,762)(129,662,639,693,
301,244,492,329,643,370,146,738)(132,468,374,750,805,642)
(135,381,367,553,721,269,186,692,678,512,457,385)(142,588,346,560,572,
196,742,418,441,562,371,206)(152,607,231,237,475,176,245,741,338,719,
296,659)(163,673,227,345,623,456,173,505,238,534,309,375)
(169,573,361,331,225,428,800,707,701,208,265,211)(200,467,593,575,714,
795)(243,694,609,465,517,731,801,257,271,369,491,773)
(251,570,525,509,641,745,758,411,753,655,717,716)(255,749,794,530)
(295,713,334)(312,461,598,528)(415,557,483,462) ] ],
[ 4, 14508000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).2",
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[ ( 1,610,172,505,308,329,632,262,705,340,161,140,124,484,493,306,442,151,
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650,386,133,581)( 2,557,463, 56,122,352,154,699,435,728,796, 11,457,
126, 10,596,291,738, 57,437,472,121,736,718,794,674,316,390,353,112,
455,698,770,265,687,441,685,198,311)( 3,450,577, 51,641,188,436, 91,
559,174,102,508,734,745, 97,304,565,480,237,512, 69,588,362,482,449,
228,156,723,504, 7, 93,501,108, 95,676,282,447,385,531)
( 4,276, 84,318,211,289,375,426,406,720,254,328,387,330,543,491,215,
275,806,303,155,363,755,350,231,342,657,178,766,597,224,238,793,777,
290,152,537,635,502)( 5,242,729,619,737,444,438, 75,499, 46, 64, 96,
65,663,331,280,226,428,541,335,163,336,553,583,325,255, 90,337,613,
712,461,205,594,381,626,566,744,130,104)( 6,143,684,110,208, 82, 37,
682,251,532,696,368,555,281,686,544,661, 99,274,372,354,113,360,454,
147,664,263,697, 50,630,607,314,765,642,675,730,800,247,333)
( 8,123,805,750,176,288,376, 34,622,250,423,695,204)( 9, 15,624,201,
639,405,488,272,209,680,464,343,556,219,433,563, 54,691,629,146, 35,
60,394,218,478,492,692,514,106,485,189,369,177,727,374,587,706,586,
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252,125,116, 67,524,574,220,673,459,628,713,429,200,550,286,568,804,
536,302,364,466,518,285)( 13,788,522,184,517,715,371,378,234,136, 25,
181,549,496,222,679, 20,410,366,743, 17, 86,523, 73,170,347,669,351,
416, 41,700,439,134, 43,421,495,296,142,187)( 16,652, 28,445,229,615,
137,782,763,440,668,764,759)( 18,284,509,533,671,500,273,332,643,469,
486,305,475,249,389,169,384,119,467,722,175,149,150,645, 70,392,649,
197,196,396,716,525, 47,795,419,483,608, 58,638)( 19,747,528,507,339,
158,313, 77,465,780,115,757,321, 68,373, 24, 26,634,591,293,319,118,
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( 21,157, 59,651,802, 87,741,162,434,349,267,584,801,344,612,779,322,
248,640,546,627,268,598,326,128,458,103,253,223,477,749,599,412,300,
413,409,527,623,100)( 22,206,283, 29,611,666,515,662,408, 55,411,646,
489,448,709,689,105, 48,631,317,246,579,767,790,616,510,526,520,261,
141,618, 61,724,771, 72,621,694,424, 52)( 30,665,708,606,600,166,120,
494,773,481,560,383,774,391,552,193,580,341,382,511,590,516,420,414,
693,397,186,245,490,551,648, 33, 53,111, 36,402,236,194,259)
( 32,786,595,667,144,271,327,380,660,561,190,707,107,370,324,683,781,
473, 92,605,740,677,398,210,735,609,453,542,589,240,702,753, 76,301,
427,203,270,153,401)( 38,185,109,298,678,503,746,260,400,601,367, 42,
535,719,462,114,470,534,672,761,117,432,168,345,506,232,656,545,179,
216,294,540,658, 74,731,395,365,297,754)( 40,567,299,258,287,101, 80,
230,778,207,758,479,129,213,214,338,791,529,266,148,798,474,739,277,
578,751,393,182,160,139,717,278, 71,521,659,356,519,592,783)
( 44, 83, 79,468,792,359,145,538,357,173,233,446,476,573,571,530,593,
670,307,279,633,451,243,604,312,443,199,703,752,202,192,603,159,135,
789,180,227,487,431)( 45,221,460,644,239,721,617,346,132,131,625,748,
138,775,183,564,575, 88,704,785,257,714,264,422, 66,295,377,320,244,
582,572,562,361,570,292,602,776,417,355)( 78,726,772,452,554,256,235,
647,653,425, 85,762,471,710,164,358,430,456,195,498,585, 94,655,711,
348,547,171,797,127,576,654,803,241,404,636,569,497,681,418),
( 1,163,175,596,152, 22,713,194,157,147,177,746,156,291, 88,439,145,
689,548,601,183,150,526,371,238,229)( 2,116,570,140,663,628,401,390,
463,435,442,293,132,543,154, 21,417, 77,767, 97, 56,602,711,320,431,
576)( 3,233,740,137,237,629,336,530,139,227,562,656,176,682,369,253,
659,129,485,117,623, 20,565,214, 47,778)( 4,205,730,354,577,755,397,
244,513,662,766,607,110,497, 58,464,684,213,795,169, 41,338,364,308,
633,173)( 5, 51,677,797,399,105,760,413,121, 80,361,676, 85,200,228,
579,298,725,134, 10,699,707,262,187,495,404)( 6,363,342,743,264,126,
138,372,794,230,571,312,243,545, 46,172,143,535,234,429, 60,664,353,
400,496,575)( 7, 11, 15,388,387,454,215,220,644,348,102, 69,718,739,
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642,423,326,719,101, 66, 70,443, 78, 53, 93,398,322,180,573,327,491,
366, 82,747,762)( 9,333,790,591,599,484,619,804,208,555,165,315,144,
546,715,774,419,334,789,111,392,285,181,430,481,550)( 12,219,697,779,
168,130,466, 24,479, 73,414,476,536,125, 31,260,235,541,319,304,703,
469,279,783,112,698)( 13,639,508,159,477,365,564,424,118,306,468, 63,
383,777,522,528,232, 57,221, 65,745, 44,432,502,446,616)
( 14,268,614,123,386,223,310,729,613,158,292,444,625,297,572,744,650,
627,605,731, 36,679,148,608,164,657)( 16,427,113,106, 59,255,651,784,
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222)( 17, 98,621, 90,367,489,236,721,385, 30,325,594,321,280,531,723,
270,646,635,480,135,225,524,483,259, 27)( 18,271,210,498, 52,294,793,
182,501,666,598,738,347,645,355,357,770,702, 81,196,273,692,166,494,
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42,636,590,295,716,422, 33, 83,624,131, 48)( 25,329,769,161,741,263,
792,660, 39,654,771,600,381,218,589,554, 92,772,488,787,452,216,356,
241,346,211)( 26,732,324,284,278,701,323,592,529,512,693,553,457, 72,
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640,179,103,257,542,604,520,763,803,104,493, 67,124,412,406,433,686,
461,456,737,226)( 34,199,437,499,276,384,420,465,775,785,344,188,678,
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195,307,330,109,626,379,567,207, 79,643,171,754, 55,647,217, 96,149,
516,281, 99,712,574)( 37,374, 75,704,359,440,534,652, 62,256,254,470,
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( 38,802,206,539,311,189,764,370,186,487,671,505,309,151,445,108,391,
540,690,405,473,631,685,761,750,250)( 43,332,558,146,632,185,559,441,
167,593,514,667,549,467,765,620,727,472,272,734,100,449,274,162,393,
350)( 50,507,653,533,700,351,581,409,408,434,142,521,648,582,193,267,
266,153,265,556,728,426,615,756,474,569)( 54,509,673,204,669,665,155,
557,249,504,638,335,438, 89,418,277,296, 64,706,403,421,184,128,791,
523,240)( 71,757,119,286,742,201,407, 95,753,486, 76,568,705,192,127,
287,283,661,788,511,141,358,328,373,246,675)( 74,805,655,583,288,282,
416,425,337,120,343,349,597,341,759,691,305,436,394,290,462,566,641,
606,136,618)( 84,428,375,231,649, 86,451,726,688,360,584,735,300,107,
239,806,318,720,247,518,634,317,115,786,190,178)( 87,658,532,345,748,
696,736,224,313,506,637,694,478,352,269,377,551,203,248,340,302,482,
611,733,752,376)(114,588,585,758,471,724,544,396,378,563,708,160,687,
380,202,773,683,801,672,630,622,316,251,261,515,681) ] ],
[ 5, 29016000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).2^2",
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644,133,610, 18,651,349,720,504,186, 73,278, 29, 37,275,199,648,668,
699,354,438,120,769,263, 78,753,470,777)( 2,213,189,449,535,566,613,
685,241,493,571,146,806,149,677,335, 58,774,308,244,282,370,620,211,
710,295, 70,376,298, 7,477,362,212,603,707,227,681,258,239,421, 96,
573,686,420,598,256,701,261,775,160,605,719,789,431,547,451, 76,661,
237,221,803,653)( 3,372, 5,572,440,314,435,350,334,152, 44, 95,645,
446,136,294,205,773, 53,284, 85,793,309,255,567,652,529,694,502,614,
607,541,398,795,219,179,729,669, 41,487,727,666,367,235,452,524,150,
447,319,296,619,735,671,171,676,450,346,770,491,243,266,617)
( 4,640,495,155,779,124,742, 46,556,641,658,723,329,177,196,611,141,
612,500,416, 66,708, 17, 54,270,453,589,539,467, 79,173,290,533,366,
250,557, 22,801, 63,496,630,459,739,316,625,156,217, 13,380, 14,632,
116,194,325, 23,303, 19,339,161,687, 31, 84)( 6,593,498,185,700,485,
181,474,486,267,763,582,100,505,670,231,230,206,767,601,679,733,740,
234,484,373,292,600, 89,528,157)( 8,359,364,692,106,606,332, 47,287,
691,588,718,623,311,660,172,466,333, 88,154,667,195, 90, 50,360,104,
297,363,330, 56, 51)( 9,336,783,107,352,802,279,590,665,301,621,371,
754,749,697,463,269,747,115,310,326,683,320,788,702,568,553,383,638,
513,134,796,389, 77,721,159,716,432, 69,757,410,714,390,794,210,323,
327,564,798,259,434,142,368, 99,272, 34,481, 20,232, 49,423,214)
( 10,461,209,548,544,262,786,737, 68, 61,521,540,337,602,418,436,581,
404,781,356,706,596,674,386,663,768,348,713,748,760,549, 97,711,583,
62,624,365,344,224,469,465,201,315,101,425,508, 35,274,550,559,743,
183,654,730,689,584, 93,585,384,242,245,562)( 11,216,736, 72,717, 55,
662, 91,318,599,576,526,430,626, 32,542,306,639,388,587,482, 81,123,
439,772,712,127,545,343, 60,208,193,758,731,512,580, 24,780,260,538,
628,738,577,746,429,534,413,220,291,264,703,509, 38,144,178,790, 94,
180,168,476,151,519)( 12,546,575,655,355,328,304,574,409,148,489,254,
604,437, 33,558,586, 80,293,126,650, 45,265,569, 67,218,762,657,561,
59,499,285,634,341,299,456,225,791,527,715,698,288,252,490,551,187,
74,552,400, 40,627,138,503, 26,374,455,277,537,673,704,182,636)
( 15,399,615,401,732,778,751,375,207,766,695,782,331,511,403, 28,280,
787,672,608,163,129,629,649,744,664,117,565,358,523,457,143,578,473,
166,515,281, 48, 92,223,113,642,570,402,415,139,510,448,226,236, 86,
164,246,145,492,131,684,191,427,251,419,506)( 16,525,351,633, 30,114,
65,635,184,247,518,222,480,750,426,132,445,137,479,441,394,175,507,
752,797,271,560,725,109,696,734,188,105,800,200,475,176,240,522,647,
392,122,579,283,257,229, 98,501,682,680, 57,631,128,422,597,745,248,
397,406,759,108,594)( 21,203,369,268,102,428,443,458,342,464,233,646,
391,468,228,622, 36,776,324,563,497,414,424,741,799,488,516,532,792,
393,454,378,382,728, 43,726,385,313, 27,675,361,407,637,595,462, 87,
52,618,433,130,555,471,724,162,147,494,472,771, 42,659,478,755)
( 25,643,340,345,483,405, 75,289,312, 83,722,253,765,761,167,381,591,
536,174,307, 64,460,377,805,322,110,693,756,387,170,395,530,543,353,
286,357, 71,444,417,804,118, 39,517,347,165,190,169,198,276,616,112,
338,554,317,784,379,690,158,531,411,302,202),
( 1,141,530,156,577,783,375,661,178,162,776,223,773,125,295,183,779,
5,465,469, 66,104,769,698, 3,552)( 2,160,623,634,589,475,761,591,
97,787,118,715,188,532, 11, 63,135,536,224,579,111,527, 13,129,565,
282)( 4,204,714,753,744,341,200,558,610,377,210,265,369,650,759,261,
226,505,694,240,169,803,259,512,731,106)( 6, 33,665,116,432,559,708,
762,671,557,473,304,112,697,709, 36,786,472,755,539,387,215,233,491,
663,441)( 7,254,395,804,564,747,456,724,575, 60,535,550,562,366,549,
207,249,208, 26,569,666,114,446,785,128,791)( 8,203,201, 32,692,323,
301,288,155,357, 77,291,123,750,234,359,673,353,373,358,695,609,580,
115,736, 16)( 9,719,385,452,360,603,644,541,775,303,499, 23,429,463,
173,522,419,126,485,109,388,397,150,181,507,496)( 10, 99, 49,540,182,
400,754,245,672,622,797,649,401,604,244,538,414, 14,699,617,516,560,
28, 21,165,777)( 12,771,386,242,770,670,659,687,121,448, 78,186,514)
( 15,795,628,528, 24,354,250,148,428,130,412,285,765)( 17,781, 61,597,
730,466, 81, 65,606,636,574,330,392,467, 31,317,119,316,370,640,276,
789, 89, 93,340,211)( 18,101,199,614,381,712,394,422, 38,108,740,561,
390, 67,309,217,542,136,271,586, 57,180,270,772, 86,227)
( 19,717,492,509,520,685,480,798, 85,364,784,794,494,266,120,214,262,
166,272,733,639,459, 46,403,299,407)( 20,684, 40,701,235, 50,700,192,
461,703,598,476,510)( 22, 52, 69,213,194,146,738,722,161,647,423,122,
693)( 25,764,526,410,682,479, 98,443,706, 41, 48,578,296)
( 27, 70,774,252,209,133,232,257,652,567,518,608,267,191,102, 45,584,
487,605,361,297,668,556,711,594,723)( 29,142,151,127, 75, 44,347,748,
256,222,164,339,468,355,626,444,380,523,548,350,110,493,134,103,633,
602)( 30,737,481,273,402,756,175,332,544,433,660,424,325)
( 34, 95,349,488,760,662,464,145,246,757,171,218,435)( 35, 74,187,362,
318,600,449,275,117, 72,613,484,143,796,368,537,501,716,790,416,638,
247,658,734,286,281)( 37,337,618,376,546,383,571,646,372,642, 80,592,
96)( 39,643,280,237,667,625,426,321,615,576,406,205,163,553,430,531,
174,415,352,107,193,176,149,413,308,495)( 42,742,727,547,195,519,502,
732,573,758,705,657,408,570,583,718,458,310,534,681,319,780,294,581,
269,746)( 43, 87, 94,788,421,239,508,763,356,478,726,782,678,525,329,
632,743,398,545,679,440,168,680,344,445,277)( 47,322, 91,489,212,391,
741,677,293,437,331,333,159)( 51,105,147,305,654,324,805,238,342,268,
84, 92,278,439,138,260,447,425,568,229,284,348,290,144,619, 68)
( 53,292,572,720, 82,624, 90,511,139, 56,669,490,515,529,283,462,676,
311,405,504,287,721,728,379,768,631)( 54,185,533,263,152,346,767,365,
59,167,306,334,451,307, 88,612,686,588,506,345,621,745,327,300,497,
551)( 55,312,274,206,335,696,627,351,655,221,298,190,503,367,374,457,
382,645,216,172,371,554, 79,454,436,236)( 58,595,378,158,243,725,543,
735,411,363,470,220,806,482,688,500,590,656,453,255,749,648,434,800,
566,197)( 62,802,189,801,596,766,691,739,326,799,729,320,704,315,153,
230,471,219,702,521,601,450,196,228,752,258)( 64,563,396,202,289,302,
140,438,132,198,314,599,179,442,629,157,264,389,641, 76,486,689,338,
674,637,582)( 71,616,620,690,778,137, 83,404,710,585,431,675,177)
( 73,251,420,713,231,517,477,393,555,498,635,455,154)(100,653,593,336,
460,343,524,417,793,513,248,751,384,418,225,131,170,607,587,683,630,
483,124,707,399,253)(113,184,611,409,279,664,651,792,313,328,474,241,
427) ] ],
[ 6, 29016000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).4",
[ "L", [ 4, 5 ], 1 ],
[ ( 1,401,568,717,127,241, 33,318,622,171,114,332)( 2,164,768,777,534,561,
619,163,707,654,252,351)( 3,743,193,649,592,636,482,640,485,362,205,
605)( 4,669,197,135,641,242, 80, 41,565,786, 97,738)
( 5,694,406,546,626,149,539,748,336,775,125,800)( 6,497,368,420, 49,
570,803,491,500,681,414,544)( 7,117,304,488,317,437,373,704,791,450,
760,735)( 8,181,301,697,186, 92,679,611,353,302,772,151)
( 9,588,517,223,290,295,214,785,627,545, 74,294)( 10,604,115,728,380,
553,150,271,445,192,364,464)( 11,542,665,727,648,219,267,438,459,635,
528,389)( 12,710, 24,207,472,746,523,194,439,410,480,481)
( 13,548,572,157,499,169, 62,413,549,657,250,515)( 14,706,118,750,521,
55,675, 56,297,645,659,187)( 15, 57,248,385,201,792)( 16,412,136,307,
279,609)( 17,724,446,109,339,116,374,173,715,584, 29,300)
( 18,696,682,771,340,742,723,275,190,278,168,264)( 19,563, 43)
( 20,329,731)( 21, 42,474, 77,749,484,739,651,407, 45,313,233)
( 22,102,419,375,593,587,203,695,516,503,673,435)( 23,103, 79,296,408,
327,257,468,256,581,664, 71)( 25,566,243,402,324,305,668,224,293,357,
72,585)( 26,341,495,784,642,558, 94,152,520,378,218,189)
( 27,411,126,458,160,153,154,235,281,623,730,265)( 28,166,369,747,348,
60,671,602,801,323,779,783)( 30,705,107,105,308,134,726,393,314,244,
677,306)( 31,637,511,395,759,104,674,180,798,647,291,733)
( 32,629, 70,676,799,330,216,429, 35, 85,745,680)( 34,159,454,672,547,
123,436, 68,381,661,583,266)( 36,354,607,131,427,227,200,687,288,638,
461,356)( 37,331,119,486,504, 54,524,237, 87, 90,574,387)
( 38,797,350,183,550,108,392,586,322,466,631,712)( 39,475,141,756,185,
522,670,277,396,451,709,262)( 40,489,646,569,471,538,761, 75,652,543,
576,787)( 44,434,328,178,608,603,667,416,691,442, 58,400)
( 46,421,722,274,580,280,621,359,740,209,161,512)( 47,527,112,177,228,
501,326,610,555,344,780,299)( 48,358,589,352,699,404,662,487,467,463,
752,447)( 50,632,425, 86, 88,320,225,366,226,370,142,321)
( 51,573,372,162,144,391, 83,732,653,774,449,284)( 52,594,110,424,122,
138,101,239,535,579,617,286)( 53,309,431,371,692,578,211,795,229,530,
457,494)( 59,298,790,496,140,802)( 61,744,666,246,770,634,737, 84,
287,100,734,222)( 63,263, 96,376,796,405,202,388,683,276,460,469)
( 64,121,751,781,220,273,432,805,133,767,554,113)( 65,155,316,624,600,
476,433,525, 67,766,232,343)( 66,721,718,234,630,702,452,124,479,175,
76,236)( 69,188,639,206, 78,698,130,453,719,319,259,325)
( 73,518,347,195,399,146,349,444,765,519,552,272)( 81,509,386,367,398,
473)( 82,714,422,342,684,448,462,184,567,493,776,590)
( 89,498,345,708,716,633,773,559,426,456,753,210)( 91,577,403,643,303,
655,502,255,268,148,270,678)( 93,245,240,191,174,390,614,560,720,598,
757,478)( 95,312,285,333,763,179,441,793,238,612,660,253)
( 98,663,625,106, 99,132,261,282,688,470,557,789)(111,615,443,533,505,
199,508,689,618,690,363,394)(120,531,292,377,806,507,616,355,129,213,
465,283)(128,769,564,656,483,551,230,782,254,409,536,526)
(137,599,764,703,418,650,754,529,249,379,145,620)(139,514,360,361,713,
417)(143,513,196,597,762,338)(147,595,156,729,335,601,794,492,221,
382,591,217)(158,212,532,700,755,628,510,397,711,172,571,685)
(165,506,269,346,337,315,260,606,758,176,430,540)(167,658,170,440,725,
693,741,215,415,778,562,804)(182,311,231,428,644,365,423,208,383,613,
310,575)(198,289,686)(204,736,537,701,582,251)(247,384,334,490,258,
556)(477,596,541), ( 1,714,523, 78,630,119,806,368,437,715)
( 2,751,122,582,394, 96,804,668, 34,656,645,530,685, 46,560,393,748,
655,584,390)( 3,771,414,407,758,321,753,511,479,327,621,221,565,785,
120,420,617,385, 21,695)( 4,672,128,416,112,434,506,154,551,170,406,
189,427,546,795,248,559,367,219,671)( 5,662,657,304,401,501, 81,343,
536,202,372,765,578,116,100,270,727,342,478,163)( 6,604,264,104,531,
422, 33,636, 70,564,659,214,243,726,359, 72,488,619,440,354)
( 7,171,663,135,544,136,563,201,220,786)( 8,415,722,775,603,289,769,
27,664,132,532,386,674, 52,239,439,796,558,240,101)( 9,453,757,421,
12,678,199,454,271,651,777,300,297,747, 13,616,438,429,127,222)
( 10,238, 22,211, 92,802,627, 91,344,690,699,780,208,485,133,298, 57,
147, 26,579)( 11,675,553,424,458,329, 23,301,265,350,169,397,276,351,
778, 59,696,794,600,773)( 14,144,228, 58)( 15,259,519,436, 79,801,
197,146,320,606,152, 49, 18,283,461,535,290,543,319,711)
( 16,258,251, 76,583,492,586,272,234,527,140, 50,504,155,774,508,676,
273,162,545)( 17,598, 56,752,125,505,231,288,267,568,190,481,732,768,
580,111,391,515,167,767)( 19,225,728,494,703,622,518,591,379,493,196,
145,490,475,193,626,425,688,322, 67)( 20,168,433,306,252,363,235,378,
601,739,455,581,644,249,175,573, 55,313,159,476)( 24,673,661,256)
( 25,447,633,278)( 28,639)( 29,766,741,445,195,624,413,513,418,686,
181,349,682,237,503,640,446,361,529,310)( 30,743, 75, 66,631,534,137,
307,340,467,588, 68,781,618,723, 32,669,417,788,574)( 31,266, 98,749,
324)( 35, 43, 86,556,491,666,707,315,592,138,308,496,599, 47,448,172,
284,772, 36,700)( 37,408,241,712,291,465,336,242,779,487,109,460,472,
466,335,233,740,480,356,625)( 38,650,760,790,477,426,158,620,129,431,
759,403,371,360,257,326,157,286,607,667)( 39,720,562,520,784, 90,782,
281,423,203,680,230,442,742, 60,585,389,123, 48,205)( 40,577,473,253,
402,456,734,126,293,113,260,555,332,380,314,318,498,198,435,441)
( 41,299,537,542,183, 94,210,484, 99,469,151,716, 63,118,729,510, 42,
194,805,451)( 44,285,186, 61)( 45,375,567,719,110,347,464,643,679,
369,683,311,710, 80,725,382,200,180,400,334)( 51,362,232,207,670,687,
405,623,468,709,174,179,745,634,702,103,462,549,263,184)
( 53,746,575,107,346,209,514,384,353,733,463,614,608,783,352,755,713,
370,204,250)( 54,377)( 62,348,611,721,524,254,612,316,409,763,215,
419,277,381,166,459,605,677,665,648)( 64,470,486,483,635,218,557,482,
689,399,590,141,507,102,756,548,450,803,114,182)( 65,694,217,374,160,
358, 73,718,731,517,589,474,216,191,312,569,547,572,338,787)
( 69,224,653,471)( 71,798,223,744,541,117,261,764,576,305,388,735,754,
303,660,654, 74,339,323,330)( 77,525,566,637, 84,736,571,328,185,130,
587,153,188,708,457,750,317,302,509,613)( 82,610,692,521,173,364,499,
629,206,697,596,274,430,792,213,108,497,387,165,628)( 83,684,539,410,
658,106,428,124,245,396,638,269,615,632,724,355,704, 87,156,791)
( 85,229,187, 88)( 89,642,143,275,502,693,561,383,737, 95,533,105,609,
296,192,432,176,706,449,641)( 93,150,292,595)( 97,602,593,738,516,
376,246,594,178,552,392,236,526,341,705,550,681,309,398,649)
(115,443,452,730)(121,528,131,227,177,366,761,337,701,262,500,164,404,
495,134,776,148,691,333,244)(139,295)(142,357,287,522,412,538,345,
799,268,161)(149,597,294,325,373)(212,793,444,411)(226,331,365,797)
(247,770,789,255)(279,646,698,280,570,800,395,762,652,554)(512,647) ]
],
[ 7, 29016000000, 0, "2", [ [ 180, 1 ], [ 625, 1 ] ], 1, "PSL(4, 5).2^2",
[ "L", [ 4, 5 ], 1 ],
[ ( 1, 68,187, 10,189,692,531,405,372, 80,774, 37,677, 56,594,634,727,530,
513,561, 39, 47,416,669,144,605,589,134,572, 90, 62,625,748,222,601,
714,307,359, 11,700)( 2,249,310,656,136,466,675,426,578,137,115,329,
507,104,431,181,523,452,338,296,670,287,235,117, 58,508,162,468,305,
691,171,435,478,787,252, 79,166,154,737,274)( 3,125,309,156,479,391,
376,592,633,434,202,196,145,777,326,631, 67, 61,150,550,764,355,501,
762, 49,791,403,763,489,411,707,208,744,757,448,404,146,170,224,553)
( 4,690,400,245,796,529,776,635,673,627,579,318,795, 9, 91,628,544,
742, 25, 33, 7,290,299, 12,506,576,469,157,639,175,567,693,603,615,
244,619,112, 42, 93,246)( 5,260,644,322,778,606,207,191,657,450,217,
784,439,106,775, 6,437,433,640,458,283,623,284,177,685,655,140,668,
143,172,740,268,730,768,793,636,549,333,174,180)( 8,721,227, 81,406,
349,725,109)( 13,342,360,758,267,540,361,743, 14,790,297,654,229,645,
221,797,732,602, 51,711,127,560,205,534,410, 24,660,626,546,122, 83,
467,672,308,311,661,269,804,163,417)( 15, 44,231,266, 85,701,265,131,
473,710,604,281,461,384,381,288,398,336,773,126,200,248,454,687,201,
197,133,123,680,490,153, 35,334, 60,270,279,356,582,412,216)
( 16,704,733,345,234,522,331,179,746,499,430,428,173,734,188,587,292,
31,583,389,370,438,317,362, 82,301,789,755, 40,794, 84,554,293,476,
402,277,471,611,185, 78)( 17,341,519,591,124, 36,537,565)
( 18,590,684,358,709,511,432, 41,505,324, 65,759, 92,203,351,747,339,
659,781,107,716,470,598,593,538,766,291,276,396,424,521,798,223,699,
457,325,516,371,719,350)( 19,637,485,142,574,388,295,382,409, 72,726,
425,613,314,569,453,254,373, 98, 66,262,706,723,665,257,148,132,518,
250,502,272,413,408,524,102,294,649,678,313, 46)( 20,330,367,667,394,
535,443,662)( 21,364,374,273,536,708, 73,575)( 22,760,643,306,192,
407,105,487,378,616, 64,803,767,749,159,421,688,528,161,624,263,225,
323,614, 38,121,176,555,566,190,392,488,570,423, 63,580,681,754,612,
728)( 23,420,641,397,353,346,545,543,103,698,135,395,259,184, 75,785,
327,486,357,237,491,344,474,715,731,422, 95,772,571,752,444,111,526,
165,503,238,542,460,168,340)( 26,689,233,548,182,348,515, 97, 52,651,
533,648,414,495,741, 27,695,275,599,210,419,393,609, 53,441,650,632,
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[3, Factorial(812)/2,1,"2",[[811,1]],810, "Alt(812)", ["A",812, 1], "Alt"],
[4, Factorial(812),0,"2",[[811, 1]],812, "Sym(812)", ["A",812, 1], "Sym"]];
PRIMGRP[813]:=
[[1, Factorial(813)/2,1,"2",[[812,1]],811, "Alt(813)", ["A",813, 1], "Alt"],
[2, Factorial(813),0,"2",[[812, 1]],813, "Sym(813)", ["A",813, 1], "Sym"]];
PRIMGRP[814]:=
[[1, Factorial(814)/2,1,"2",[[813,1]],812, "Alt(814)", ["A",814, 1], "Alt"],
[2, Factorial(814),0,"2",[[813, 1]],814, "Sym(814)", ["A",814, 1], "Sym"]];
PRIMGRP[815]:=
[[1, Factorial(815)/2,1,"2",[[814,1]],813, "Alt(815)", ["A",815, 1], "Alt"],
[2, Factorial(815),0,"2",[[814, 1]],815, "Sym(815)", ["A",815, 1], "Sym"]];
PRIMGRP[816]:=
[[ 1, 3201186852864000, 1, "2", [ [ 45, 1 ], [ 455, 1 ], [ 315, 1 ] ], 1,
"Alt(18)", [ "A", 18, 1 ],
[ ( 1, 2, 3, 5, 9, 15, 25, 39, 59, 85,119,161,213,275,349,435)
( 4, 7, 13, 21, 35, 53, 79,111,153,203,265,337,423,521,634,648)
( 6, 11, 19, 31, 49, 73,105,145,195,255,327,411,509,620,436,536)
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( 10, 17, 29, 45, 69, 99,139,187,247,317,401,497,608,438,539,651)
( 12, 20, 33, 50, 75,106,147,196,257,328,413,510,622,733,537,649)
( 16, 27, 43, 65, 95,133,181,239,309,391,487,596,276,351,439,540)
( 18, 30, 47, 70,101,140,189,248,319,402,499,609,721,350,437,538)
( 22, 37, 57, 83,117,159,211,273,347,433,533,646,759,803,652,762)
( 24, 38, 58, 84,118,160,212,274,348,434,534,647,760,816,746,761)
( 26, 41, 63, 91,129,175,233,301,383,477,586,278,354,443,545,657)
( 28, 44, 67, 96,135,182,241,310,393,488,598,709,352,440,542,653)
( 32, 51, 77,109,151,201,263,335,421,519,632,744,621,734,541,654)
( 34, 52, 78,110,152,202,264,336,422,520,633,745,809,748,810,650)
( 40, 61, 89,125,171,227,295,375,469,576,162,215,279,355,445,548)
( 42, 64, 93,130,177,234,303,384,479,587,699,214,277,353,441,544)
( 46, 71,103,143,193,253,325,409,507,618,731,623,735,804,658,765)
( 48, 72,104,144,194,254,326,410,508,619,732,802,522,636,749,763)
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( 60, 87,123,167,223,289,369,461,568,164,218,283,360,451,555,667)
( 62, 90,127,172,229,296,377,470,578,689,216,280,357,446,550,661)
( 66, 97,137,185,245,315,399,495,606,718,412,511,624,736,549,662)
( 68, 98,138,186,246,316,400,496,607,719,796,524,637,750,811,656)
( 74,107,149,199,261,333,419,517,630,742,597,710,356,447,552,664)
( 76,108,150,200,262,334,420,518,631,743,808,722,797,442,546,659)
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(188,249,321,405,503,614,727,579,691,782,292,372,466,573,686,779)
(190,250,322,406,504,615,728,800,478,588,701,366,458,565,677,775)
(206,268,342,428,528,641,754,813,680,222,288,368,460,567,679,776)
(228,297,379,473,582,694,240,311,395,491,602,714,376,471,580,692)
(230,298,380,474,583,695,784,320,404,502,613,726,799,462,570,683)
(242,312,396,492,603,715,794,480,589,702,787,290,371,465,572,685)
(302,385,481,590,703,378,472,581,693,783,304,386,482,591,704,788),
( 2, 4, 8)( 3, 6, 12)( 5, 10, 18)( 7, 14, 24)( 9, 16, 28)
( 11, 20, 34)( 13, 22, 23)( 15, 26, 42)( 17, 30, 48)( 19, 32, 33)
( 21, 36, 56)( 25, 40, 62)( 27, 44, 68)( 29, 46, 47)( 31, 50, 76)
( 35, 54, 55)( 39, 60, 88)( 41, 64, 94)( 43, 66, 67)( 45, 70,102)
( 49, 74, 75)( 53, 80,114)( 59, 86,122)( 61, 90,128)( 63, 92, 93)
( 65, 96,136)( 69,100,101)( 73,106,148)( 79,112,113)( 85,120,164)
( 87,124,170)( 89,126,127)( 91,130,178)( 95,134,135)( 99,140,190)
(105,146,147)(111,154,206)(119,162,216)(121,166,222)(123,168,169)
(125,172,230)(129,176,177)(133,182,242)(139,188,189)(145,196,258)
(153,204,205)(161,214,278)(163,218,284)(165,220,221)(167,224,292)
(171,228,229)(175,234,304)(181,240,241)(187,248,320)(195,256,257)
(203,266,340)(213,276,352)(215,280,358)(217,282,283)(219,286,366)
(223,290,291)(227,296,378)(233,302,303)(239,310,394)(247,318,319)
(255,328,414)(265,338,339)(275,350,438)(277,354,444)(279,356,357)
(281,360,452)(285,364,365)(289,370,464)(295,376,377)(301,384,480)
(309,392,393)(317,402,500)(327,412,413)(337,424,524)(349,436,537)
(351,440,543)(353,442,443)(355,446,551)(359,450,451)(363,456,563)
(369,462,463)(375,470,579)(383,478,479)(391,488,599)(401,498,499)
(411,510,623)(423,522,523)(435,535,648)(437,539,652)(439,541,542)
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(469,577,578)(477,587,700)(487,597,598)(497,609,722)(509,621,622)
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(548,661,767)(554,666,667)(560,673,773)(568,680,681)(576,689,781)
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[ 2, 6402373705728000, 0, "2", [ [ 45, 1 ], [ 455, 1 ], [ 315, 1 ] ], 1,
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[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82)
( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 84, 93,
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150,168,187,210)( 36, 42, 48, 55, 62, 70, 78, 88, 98,110,122,137,152,
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218,244,274,306,339,372,408)( 81, 91,101,113,125,140,156,175,196,220,
246,277,309,343,376,413,449,488)( 83, 92,103,115,128,143,160,179,201,
226,254,285,318,351,386,424,462,317)( 94,105,116,129,144,161,180,202,
227,255,286,319,352,387,425,463,502,542)(102,114,126,141,157,176,197,
222,248,279,312,346,380,417,454,493,532,571)(107,118,132,146,162,181,
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198,223,250,281,314,349,383,421,458,498,537,577,615,655)
(130,145,163,182,205,230,259,290,324,357,393,431,470,509,550,253,284,
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624,663)(147,164,183,206,231,260,291,325,358,394,432,471,510,551,590,
630,582,621)(153,171,191,214,239,268,299,323,356,391,429,467,506,546,
586,625,664,699)(159,178,199,224,251,264,296,331,365,402,441,481,521,
563,603,644,683,720)(167,186,208,232,261,292,326,359,395,433,472,511,
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657,692,727,747,774,793,806,812)(342,375,411,447,485,524,562,602,642,
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( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 73, 83)( 84, 94)( 91,102)( 92,104)( 95,107)(105,117)(108,120)
(114,127)(115,129)(116,130)(118,133)(121,136)(132,147)(134,150)
(137,153)(142,159)(144,162)(149,167)(151,170)(154,173)(163,183)
(164,184)(169,189)(171,192)(174,195)(178,200)(181,204)(186,209)
(191,215)(193,218)(196,221)(206,232)(212,237)(217,243)(219,246)
(222,249)(225,253)(229,258)(233,263)(234,264)(240,270)(245,276)
(247,279)(250,282)(261,293)(266,298)(273,305)(278,311)(280,314)
(284,317)(289,323)(295,330)(301,334)(308,342)(313,348)(315,331)
(327,361)(338,371)(345,379)(350,385)(356,392)(364,401)(367,404)
(375,412)(382,420)(397,436)(407,444)(416,453)(423,461)(430,469)
(440,480)(448,487)(457,497)(475,515)(483,523)(492,531)(501,541)
(508,549)(520,562)(526,566)(536,576)(542,582)(556,596)(570,609)
(581,620)(583,622)(589,629)(602,643)(605,646)(614,654)(623,662)
(630,669)(636,676)(649,686)(660,696)(663,698)(668,704)(670,706)
(682,719)(690,726)(699,733)(707,741)(712,747)(713,738)(722,734)
(731,762)(742,769)(748,774)(753,780)(757,770)(775,794)(786,795) ] ],
[3, Factorial(816)/2,1,"2",[[815,1]],814, "Alt(816)", ["A",816, 1], "Alt"],
[4, Factorial(816),0,"2",[[815, 1]],816, "Sym(816)", ["A",816, 1], "Sym"]];
PRIMGRP[817]:=
[[1, Factorial(817)/2,1,"2",[[816,1]],815, "Alt(817)", ["A",817, 1], "Alt"],
[2, Factorial(817),0,"2",[[816, 1]],817, "Sym(817)", ["A",817, 1], "Sym"]];
PRIMGRP[818]:=
[[1, Factorial(818)/2,1,"2",[[817,1]],816, "Alt(818)", ["A",818, 1], "Alt"],
[2, Factorial(818),0,"2",[[817, 1]],818, "Sym(818)", ["A",818, 1], "Sym"]];
PRIMGRP[819]:=
[[ 1, 9828, 1, "2", [ [ 4, 8 ], [ 6, 3 ], [ 12, 64 ] ], 1, "PSL(2, 3^3)",
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( 54,194, 85,217, 80,653,307)( 55,664,395,295,414, 82,643)
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(250,547,756,474,372,753,522)(262,627,479,412,768,397,713)
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( 12,208,194,379, 71,795, 30,245,159,754,321,502,720)( 13,774,329,765,
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( 17,286,811,362,791,494,730,309,185,368,683,518,659)( 18,273,233,191,
655,776,412,756,736,490,229,497,787)( 21,583,540,386,318,480,596,484,
652,151,307,344,542)( 22, 88,818,358,742,504,272,608,816,252, 65,100,
316)( 23,130, 66,195,601,292,352,606,401,750,654,287,180)
( 24,509,261,373,430,264,638,611,361,335, 41,549,700)( 25,729,472,707,
409,764,276,731,126,196,193, 76,725)( 26,186,500,751, 79,649,384,114,
457,660, 56,479,355)( 27,637,171,356,759,267,224,661,284,456,347,680,
556)( 29,555,692,733,189,447,305,684,761,546,345,469,505)
( 31,726,230,108,570,138,405,436,803,330,510,753,145)( 33,716,141,212,
137,226,431,801,325,590,198,462,249)( 35,651,119,143,758,618,779,306,
704,752,713,455,592)( 37,677,747,665,757,146,667,609,629,789,302,132,
755)( 38,220,591,117,521,375, 91,794,399,783,351,265,528)
( 39,673,322,176,577,152,288,105,312,488,551,628,174)( 40,258, 67,129,
388,714,278, 43, 75,400,485,621,777)( 42,676,371,743,297,182,564,712,
760,701,310,214,672)( 44,140,646,524,796,438,274,643,201,543,471, 93,
418)( 46,315,737,285,558,687,658,153,630,277,582,589,378)
( 47,250,205,385,377,106,581,772,656,199,109,768,657)( 48,433,653,422,
533,443,121,613,228,157,216,123, 58)( 49,771,487,397,568,448,410,526,
181,419,566,617, 83)( 51,476,381,482,223,813,313, 54,798,478,211,473,
203)( 52,710,807,160,365,619,221, 60,122,662,576,370,696)
( 53,718,689, 74,711,634,744,353,580,702, 99,597,327)( 55,616,247,809,
82,517,719,635,295,698,192,259,342)( 59,349, 94,584,607,766,495,167,
474,253,686,627,534)( 62,341,715, 78,522,390,511,650,664,567,343,236,
559)( 63,423,254,239,391,805,144,699,615,681,294,695,594)
( 68,668,723,553,360,334,817,428,255,102,407,784,296)( 72,404,492,483,
328,688,491, 87,769,815,569, 97,467)( 73,128,289,413,449,735,417,357,
326,624,441,183,338)( 77,241,150,693,459,797,539,243,257,612,120,544,
647)( 81,293,781,746,298,135,671,477,225,403,112,464,364)
( 86,251,531,204,339,350,136,461,231,299,648,300,155)( 89,452,389,354,
256,788,697,116,113,434,340,268,640)( 90,537,139,210,749,703,573,219,
810,246,142,554,359)( 92,503,525,734,738,705,161,317,118,595,147,440,
532)( 95,372,184,523,727,387,547,519,169,271,331,561,610)
( 96,465,197,770,374,156,213,514,620,266,421,202,270)( 98,346,406,187,
311,574,481,319,806,571,762,279,148)(101,604,622,623,538,814,804,393,
308,446,190,536,383)(104,450,290,706,240,641,545,560,166,468,435,398,
234)(107,575,633,674,275,717,217,600,444,281,280,314,800)
(115,786,785,557,460,432,437,414,158,188,235,694,486)(127,382,550,207,
728,709,411,454,563,682,260,506,722)(131,425,602,402,168,740,232,429,
366,626,445,439,154) ] ],
[ 2, 19656, 0, "2", [ [ 6, 3 ], [ 8, 4 ], [ 12, 6 ], [ 24, 29 ] ], 1,
"PGL(2, 3^3)", [ "L", [ 2, 27 ], 1 ],
[ ( 1, 32,221,248,565,737,735)( 2,595,309,414,418,362,697)
( 3,527,671,668,776,746,426)( 4, 99,126,323,417,718,692)
( 5,269,143,583,135,157,622)( 6,234,387,284, 30,637,700)
( 7,342,792,428,709,357,310)( 8,523, 56,103,154,567,650)
( 9,115,522,439,621,498,690)( 10,552,456,787,351,703, 61)
( 11,448,134,699,509,624,133)( 12,296,345,119,202,618, 29)
( 13,325,458, 15,341,124,107)( 14,543,462,217,532,538,236)
( 16,717,653,712,506,220,407)( 17,674,508,683,778,765,206)
( 18,150, 58,424,158, 68,767)( 19,449, 60,382, 28,659,589)
( 20, 64,784,603,410,172,736)( 21,156,512,654,166, 67,796)
( 22,566,660,219,171,494,514)( 23,574,204,153,140,371,390)
( 24,606,704,721,386,302,102)( 25,793,445,478, 48,614, 78)
( 26,429,271,507,511,250,425)( 27,757,789,266,471, 55,188)
( 31,232,168,626,108,377,547)( 33,752,267,214,731, 69, 65)
( 34,136,331,484,105,672, 46)( 35,647, 47,814,553,254,179)
( 36,645,548,615,224,187,346)( 37,401,729,684,601,619,733)
( 38,636,687,117,587,147,164)( 39, 95,485,616,559,701, 54)
( 40,602,557,491,564,741, 75)( 41, 97,122,596, 77,580,292)
( 42, 72,524,111,222,585,149)( 43,577,725,211,299,533,518)
( 44,435,132,501,347,178,275)( 45, 80,338,722,554,249,487)
( 49,139,623,183,556,570,440)( 50,490,279, 59,125,695,727)
( 51,526,779,116,185,303,121)( 52,101,403,734,503,175, 81)
( 53,584,790,688,413,372, 98)( 57,430,152,420,682,209,783)
( 62,613,241,203,113,673,801)( 63,194,693,411,174,319,611)
( 66,489,239,151,180, 70,207)( 71,775,664,210,273,281, 86)
( 73,231,667,495, 87,486, 94)( 74,376,213,328,492,356,300)
( 76,769,720,305,597,762,591)( 79,137,252,288,381,461,324)
( 82,815,197,470,223,714,240)( 83,738,368,550,304,576,247)
( 84,402,707,751,772,389,313)( 85,258,610,513, 89,320,768)
( 88,646,466,515,477,301,141)( 90,406,777,245,182,282,334)
( 91,454,348,605,631,481,810)( 92,233,397,160,242,329,326)
( 93,685,285,806,199,446,519)( 96,732,670,774,818,344,109)
(100,396,730,112,537,517,161)(104,380,441,314,661,569,698)
(106,333,438,361,464,391,298)(110,488,237,127,795,669,542)
(114,259,196,343,176,286,268)(118,167,355,128,277,238,811)
(120,817,473,404,748,713,744)(123,191,225,416,761,442,529)
(129,336,678,572,483,366,280)(130,169,335,287,474,680,627)
(131,652,666,788,520,480,216)(138,479,689,756,502,327,457)
(142,173,696,760,374,607,212)(144,536,186,453,165,813,159)
(145,648,604,460,573,716,773)(146,740,593,629,802,743,600)
(148,662,705,516,431,378,218)(155,340,193,544,388,422,198)
(162,625,195,800,753,581,558)(163,655,230,681,803,208,786)
(170,257,608,184,531,676,261)(177,658,726,794,686,804,763)
(181,293,617,353,549,205,711)(189,754,561,665,375,642,766)
(190,419,360,578,291,691,675)(192,758,427,755,651,635,530)
(200,270,332,747,560,437,367)(201,412,764,657,423,447,771)
(215,255,639,780,497,400,525)(226,235,586,819,337,354,408)
(227,719,534,677,575,253,809)(228,588,797,469,263,297,432)
(229,710,385,694,649,352,594)(243,770,805,475,251,632,612)
(244,656,742,392,745,264,599)(246,434,295,272,330,791,812)
(256,781,421,482,283,504,384)(260,312,539,369,535,598,311)
(262,505,528,294,663,546,322)(265,706,563,443,545,444,782)
(274,278,579,393,415,724,739)(276,405,541,452,640,510,363)
(289,571,630,395,590,728,317)(290,592,807,638,379,409,349)
(306,609,708,476,455,643,467)(307,715,679,398,582,551,450)
(308,750,634,798,451,370,702)(315,500,562,633,365,493,521)
(316,459,799,499,339,628,540)(318,463,472,496,383,568,433)
(321,620,373,465,723,641,644)(350,759,399,785,808,468,555)
(358,816,394,359,749,364,436),
( 1,142,540,122,396,311,534,728,184,132, 28,403,263,113,298,127,493,
98, 23,130,148,255,200, 15,632,309)( 2,385,124,660,234,104,457,454,
809,553,121,781,344, 74,351,570,277,727,192,628,617,240,641,566,341,
412)( 3, 45,292, 40,640,125,586, 49,373,472,141,667,609,716,365, 30,
384, 14,179,734,222,305,324,168,766,704)( 4,530,400,189,816, 5,376,
217,751,159,176, 12,787, 89,777,755,372,254,226,433,363,297,773,447,
75,330)( 6,710,415, 37,621,764,644,410,448,105,232, 73,737,383,243,
35, 55, 59,187,562, 48,476,527,506,186, 26)( 7,650,625,349,342,194,
158,274,370,499, 85,490,325, 47,780,605,126,115, 93,611,616,592,442,
291,559, 63)( 8,701,707,261,382,746,443,754,500,260,756, 62,392,770,
508,326, 71,266,683,805,790,424,409,760,636,416)( 9,302, 94,369,355,
458, 61,321,533,337,574,133,518,620,450,398,718,420,602,331,590,736,
682,223,793,316)( 10, 53,456,765, 96,744,670,532,350,218,275,813,563,
114,795,357,394, 54,430, 83,551,624,367,388,512,354)( 11,722,603,697,
796,401,554,724, 82,411,567,267,117, 38,492,529,242,306,475,446,332,
417,139,794,193,681)( 13,526,598,455,665,278,810, 32,441,488,250,801,
407,111,237,634,545,706,637,659,165,797,538,589,700,774)
( 16,426,730, 78,138,783,597,749,555, 29,155,802,183,206,213,244,147,
786,731, 18,720,265,689,435,280,256)( 17, 27,264,313,674,224,664,395,
205,312,568, 24,582,108,577,245,160,310,578,800,131,214,807,685,748,
615)( 19,629,146,299, 31,153,762,229,535,657, 77,228,671)
( 20,173,779, 68,203,655,437,804,705,531,119, 39,304, 86,505,546, 72,
477,613,723,185,690,719,481, 50,434)( 21,353,270,273,276,485,541,123,
97, 22,631,649,642,612,758,241,768,503,672,154,295,693,201,212,729,
272)( 25,177,348,129,596,484, 67,258,601,140,498,803,478,742,750,524,
157,647,561,425,314,468,702,818,614,608)( 33,694,319,517,675,712,452,
497,571,253,346,721,771,799,219,769,558,175,792, 52,656,347,327,399,
537,619)( 34,487,209,303,238,110, 79,717,380,100,375,653,137,643,414,
191,752,607,581,418,486,249, 46,386,246,714)( 36,107,178,610,544,345,
469,120,463,152,230,317,390,510, 43,747,334,673,651,539,812, 76, 91,
65,445,362)( 41,199,696,438,788,281,356,778,482,600,516,287,654,358,
580,542,293,248,791,626,136,440,678,560,711,307)( 42, 92,745,576,239,
95,741,285,338,679,156,318,378,623,204,738,513,732,364,449,680,772,
584,789,515,489)( 44,106,289,519,167, 69,511,161,814,459,635,579,811,
387,630,145,491, 66,180,599,343,709,627,282,340,269)( 51,296,784,431,
423,236,645,686,806,235,708,135,116,572, 80,188,208,322,360,247,638,
556,413,377,669,593)( 56,782, 81,451, 88,569,164,171,290,514,666,815,
573,323,405,715,419,465,329,549,151,483,528,502, 84,284)
( 57,776,473,421,379,259,523,207,361,471,461,366,118,726,231,543,150,
143,251,819,594,198,271,169,128,740)( 58,149,428,294,196,775,389,564,
663,648,757,713,233,202,211,436,552,215,268,588,283,422,521,759,444,
381)( 60,604,676,520,404,761,460,687, 87,753,522,494,739,225,467,216,
646,195,688,587,182,466,725,262,743, 70)( 64,427,134,406,474,547,286,
699,144,368,668,618,257,536,575,507,479,661,633,190,333,163,103,496,
197,181)( 90,565,703, 99,166,470,172,102,279,658,557,692,210,735,464,
393,432,684,639,808,220,591,336,339,622,221)(101,315,462,695,817,677,
170,525,109,335,550,509,397,408,300,763,359,606,320,227,308,112,585,
352,301,371)(162,328,652,480,374,691,174,698,439,252,733,785,595,429,
288,453,391,662,583,504,798,501,767,548,495,402) ] ],
[ 3, 29484, 0, "2", [ [ 4, 2 ], [ 36, 20 ], [ 12, 6 ], [ 18, 1 ] ], 1,
"PSigmaL(2, 3^3)", [ "L", [ 2, 27 ], 1 ],
[ ( 1,632,555)( 2,234,282)( 3,537,776)( 4,660,413)( 5,526,387)
( 6,141,404)( 7,230,401)( 8,595,405)( 9,585,605)( 10,337,259)
( 11,105,102)( 12,542,194)( 13, 81,374)( 14,375, 47)( 15,783,748)
( 16,127,642)( 17,657,148)( 18,435,130)( 19,689,122)( 20,777,126)
( 21,147,578)( 22,205,138)( 23, 97,426)( 24,674,535)( 25, 43,185)
( 26,330, 52)( 27,534,685)( 28,312,720)( 29,597,241)( 30,623,692)
( 31,612,762)( 32,701,592)( 33,331,668)( 34,297,266)( 35,815,177)
( 36,640,740)( 37,242,770)( 38,464,495)( 39,221,447)( 40,603,455)
( 41,703,187)( 42,666,607)( 44, 58, 60)( 45,114,723)( 46, 65,422)
( 48,268,584)( 49,742,475)( 50,552,179)( 51,798,343)( 53,747,772)
( 54,300,617)( 55,249,810)( 56,342,371)( 57,619,429)( 59,225,548)
( 61,691,406)( 62,462,173)( 63,489,704)( 64,116,103)( 66,145,782)
( 67,226,653)( 68,323,450)( 69, 76,803)( 70,277,735)( 71,705,743)
( 72,315,220)( 73,738,536)( 74,439,432)( 75,557,151)( 77,206,731)
( 78,224,228)( 79,218,698)( 80,628,621)( 82,344,486)( 83,713,326)
( 84,356,417)( 85,678,366)( 86,246,457)( 87,373,695)( 88,757,469)
( 89,624,492)( 90,166,283)( 91,717,756)( 92,775,785)( 93,522,505)
( 94,380,355)( 95,159,647)( 96,250,208)( 98,310,212)( 99,590,107)
(100,448,780)(101,572,715)(104,329,290)(106,248,576)(108,649,577)
(109,734,120)(110,613,630)(111,129,261)(112,571,376)(113,403,582)
(115,594,709)(117,301,436)(118,804,368)(119,162,561)(121,706,362)
(123,255,183)(124,251,661)(125,189,480)(128,235,579)(131,154,615)
(132,153,245)(133,407,408)(134,336,625)(135,764,434)(136,167,411)
(137,658,320)(139,732,193)(140,560,170)(142,229,298)(143,767,467)
(144,559,444)(146,263,802)(149,468,618)(150,746,514)(152,490,549)
(155,758,568)(156,390,286)(157,430,367)(158,446,733)(160,730,629)
(161,817,181)(163,317,307)(164,792,750)(165,779,644)(168,483,296)
(169,696,665)(171,506,190)(172,795,500)(174,352,651)(176,479,788)
(178,598,580)(180,614,509)(182,656,544)(184,503,664)(186,321,663)
(188,567,721)(191,516,714)(192,755,202)(195,554,813)(196,606,482)
(197,288,240)(198,739,787)(199,465,481)(200,309,768)(203,346,257)
(204,385,302)(207,527,525)(209,648,231)(210,382,314)(211,233,700)
(213,265,693)(215,793,494)(216,608,351)(217,686,602)(219,239,616)
(222,538,727)(223,573,741)(227,794,575)(232,812,816)(236,531,610)
(237,512,633)(238,699,587)(243,392,811)(244,264,256)(247,381,532)
(252,759,519)(253,284,684)(254,262,550)(258,797,496)(260,416,427)
(267,398,570)(269,507,716)(270,671,729)(271,308,410)(272,299,631)
(273,276,295)(274,402,682)(275,400,369)(278,470,634)(279,627,365)
(280,313,800)(281,600,574)(285,287,641)(289,437,420)(291,754,564)
(293,652,508)(294,655,473)(303,421,348)(304,551,558)(305,440,744)
(306,418,419)(311,395,541)(316,771,637)(318,484,604)(319,521,711)
(322,393,818)(324,620,702)(325,498,601)(327,722,596)(328,358,524)
(332,539,424)(333,394,622)(334,491,639)(335,680,784)(338,515,719)
(339,414,347)(340,443,773)(341,438,546)(345,461,433)(349,611,388)
(350,791,737)(353,493,728)(354,599,497)(357,789,504)(359,662,399)
(360,726,724)(361,449,805)(363,681,428)(364,452,790)(370,781,675)
(372,384,583)(377,799,581)(378,646,669)(379,518,808)(383,425,718)
(386,635,745)(389,528,609)(391,708,643)(396,672,807)(397,589,679)
(409,553,677)(412,445,563)(415,511,670)(423,683,645)(431,499,565)
(441,529,543)(442,814,676)(451,774,466)(454,478,471)(456,487,763)
(458,638,463)(459,659,694)(472,710,769)(474,697,688)(476,501,510)
(477,690,796)(485,540,749)(488,650,593)(502,765,523)(513,545,751)
(517,809,588)(520,801,752)(530,569,547)(533,760,687)(556,626,667)
(566,636,586)(591,778,761)(654,806,725)(673,712,753)(707,736,766),
( 1,521,515,380,589,702,765,240,539)( 2,137,317,502,686,259,748,600,
741)( 3,115, 69,439, 72,215,799, 44,495)( 4,448,537,817,814,784,
19,705,794)( 5,676,200,401,227, 62,638,156,635)( 6,485,816,796,
655,241,491,533,542)( 7,277,775,315,406,632,182,571,466)
( 8, 10,349,407,628,311,665,285,556)( 9,572,745,454,403,631,612,490,
522)( 11,603, 97,576,367, 27,574,658,449)( 12,428,471,404,693,206,
564,412,583)( 13,694,268,395,462,350,650,157,489)( 14, 41,271,377,
372,606, 60,288,479)( 15,776,726,713,110,610,431,265,194)
( 16, 31,712,262, 70,467,801,742,373)( 17,257,682,639,150,468,158, 48,
195)( 18,160,546,171,618,408,720,809,677)( 20,473,552,501,764,118,
55,754,260)( 21,416, 82,812, 64, 94,312,461,193)( 22,803,256,652,
135,134,523,294,457)( 23,553,362,540,514,644,752,512,164)
( 24,811,357,661,488,420,423,207,582)( 25,659,699,551,216,208,548,464,
305)( 26,654,651, 59,604,520,342,221,493)( 28,703,252)
( 29,424,249,301,398,646,292,274, 46)( 30,447,287,411,627,516, 68, 38,
549)( 32,143, 86,579,733,212,319,353,773)( 33,333,782,749,737,696,
341,351,670)( 34,209,343,434,443,740,813,531,154)( 35,567,570,166,
565,602,629,729,772)( 36,732,266,184,476,379,624, 58,144)
( 37,360,756,679,536,140, 80,527,280)( 39,306,731,722, 49,498, 42,295,
761)( 40,123,689,806,344,338,152,560,446)( 43,684,202,418,795,225,
95,136,348)( 45,672,188, 81,680,238,142,178, 87)( 47,605,688, 76,
321,270,354,345,704)( 50,112,701,499,804,619,615,581,444)
( 51,378,594,243,494,663,673,230,383)( 52,308,766,721,329,421,550,614,
747)( 53,397, 61, 71,226,203,700, 56,296)( 54, 84, 92,113,586,800,
592,120,413)( 57,149,255,640,470,218,309,293,545)( 63,393,508,180,
584,486,261,432,199)( 65,532,777,198,510,168,291,316,690)
( 66,771,611,607,738,122,744,781,441)( 67,340,210,666,139,410,734,746,
442)( 73,405,807,645,186,191,214,429,161)( 74,177,580, 79,478,568,
196,597,736)( 75,538,492,791,810,223,438,500,770)( 77,121,381,779,
382,282,374,451,433)( 78,472,415,386,130,361,577,236, 98)
( 83,474,336,477,503,687,636,128,657)( 85,116,649,790,368,396,286, 89,
289)( 88,707,363, 96,625,201,332,647,758)( 90,183,459,578,170,159,
356,426,714)( 91,507,669,789,716,181,675,358,313)( 93,146,422,197,
224,314,335,119,425)( 99,127,284,365,735,275,419,588,730)
(100,653,725,463,566,399,114,623,436)(101,355,371,244,753,231,792,788,
798)(102,254,778,587,106,276,239,330,787)(103,126,251,617,297,633,
272,427,609)(104,541,376,303,808,440,414,400,125)(105,213,339,818,
596,279,325,513,711)(107,155,263,750,456,273,667,561,283)
(108,245,370,229,637,739,562,785,189)(109,235,269,346,719,388,519,219,
674)(111,797,320,662,504,517,328,250,435)(117,437,616,187,310,524,
573,390,608)(124,487,450,575,469,247,392,334,129)(131,563,760,337,
528,228,331,691,511)(132,148,366,151,233,384,232,246,460)
(133,698,727,369,389,394,264,175,757)(138,458,481,267,554,352,300,590,
718)(141,695,671,359,375,484,709,173,710)(145,480,555,717,613,455,
530,685,598)(147,307,793,165,681,763,683,642,304)(153,167,620,767,
755,518,751,706,678)(162,482,601,783,174,453,347,648,253)
(163,780,759,708,557,769,558,220,534)(169,281,569,622,234,192,204,496,
483)(172,559,497,543,190,805,526,205,298)(176,278,326,692,211,506,
290,402,762)(179,591,505,387,728,544,391,324,327)(185,599,715,525,
774,802,595,217,664)(222,385,815,668,430,409,786,465,626)
(237,242,302)(248,529,819,593,322,743,724,452,643)(258,445,323)
(299,364,768,417,509,318,630,723,475)(535,641,656,585,621,660,697,547,
634) ] ],
[ 4, 58968, 0, "2", [ [ 18, 1 ], [ 36, 2 ], [ 72, 9 ], [ 24, 3 ], [ 8, 1 ] ],
1, "PGammaL(2, 3^3)", [ "L", [ 2, 27 ], 1 ],
[ ( 1,244,280,586,530,386,681,499,308)( 2,585,418,213,109, 60,655,286,645)
( 3,380,604,609,211,145,600,297,307)( 4,114,536,768,764,315,319,574,
752)( 5,266,150,801,303,359,419,229,549)( 6, 54, 23,810,271,631,
241,119,259)( 7, 92, 58,611,491,353,320,568,409)( 8,591, 30,705,
464, 78,444,103, 40)( 9, 90,102,446,463,674,322, 24,406)
( 10,197,214,742,136,364,709, 28,550)( 11,683,662,331,483,540,815,127,
782)( 12,474,397,333,443,612,100,498,619)( 13,557, 82,360,212,675,
673,433,448)( 14,563,227,592,519,792,766,690,258)( 15,376, 48,356,
32,775,814,230,173)( 16,648,513)( 17,461, 71,191,467, 49,777, 79,696
)( 18,789,158,304,679,289,749,121, 67)( 19, 53,727,252,365,745,636,
260,616)( 20,744,311,736,339,480, 70,635,584)( 21,486,695,528,110,
181,247,641,264)( 22,544,352,456,398,471,253,757,594)
( 25,689,496,284,625,522,101,141,770)( 26,348,177,147, 95,804,678,112,
688)( 27,298,139, 45,149, 86,388,176,168)( 29,575,254,370,434,283,
438,566,393)( 31,725,269,784, 66,190,231,432,240)( 33, 46,692,420,
800,719,186,629, 85)( 34,117,490,593,455, 91,659,669,700)
( 35,435,686,399,187,755,761, 37,413)( 36,411,179,256,200,579,362,405,
785)( 38,807,806,548,236,327,449,538,569)( 39,390, 84,345,203, 80,
537,481,188)( 41, 57,721, 69,819,722,797,735,750)( 42,572,561,391,
587,299,762,795,104)( 43,730,791,242,196,488,171,605, 87)
( 44, 73,228,781,623,207,346,232,172)( 47,428,193,608,809,535,341,552,
582)( 50,184,288,485,647,589,454,416,740)( 51, 99,385,715,174,442,
773,276,759)( 52,639,123,157,349,116,793,617,245)( 55,128,137,649,
223,643,402,309,687)( 56,301,277,335,375,595, 76,756,163)
( 59,300,503,741,458,403,497,140,387)( 61,465,504,559,198,553,392,556,
492)( 62,224,487,622,250,570, 81,401,422)( 63,466,534,310,421,718,
459,275,170)( 64,517,270,180,296,693,667,161,218)( 65,106,314,292,
343, 83,682,396,505)( 68,306,672,166,381,105,512,146,753)
( 72,798,658,597,389,790,539,567,520)( 74,363,451,153,291,154,221,126,
361)( 75,699,205,279,640,394,637,437,758)( 77,243,111,803,233,562,
235,383,813)( 88,475,338,162,663,313,724,728,634)( 89,357,407,610,
656,210,342,799,717)( 93,159,769,706,500,169,748,144,573)
( 94,135,369,723,712,305,183,445,551)( 96,178,743,222,462,138,165,515,
527)( 97,373,788,588,131,817,410,155,726)( 98,630,565,358,638,201,
493,532,774)(107,580,668,323,226,685,578,209,404)(108,708,431,238,
426,751,786,321,555)(113,199,427,371,661,816,325,262,372)
(115,541,702,546,367,618,805,452,129)(118,167,633,273,506,524,220,583,
312)(120,598,290,651,340,255,794,216,189)(122,624,234,603,739,613,
547,558,175)(124,666,581,257,776,484,417,473,133)(125,248,156,780,
204,576,293,412,767)(130,760,479,526,440,802,716,249,195)
(132,477,523,733,543,545,632,642,287)(134,620,468,691,746,332,510,652,
378)(142,453,215,602,152,533,614,732,754)(143,379,208,714,571,596,
355,424,377)(148,518,151,194,525,812,316,329,495)(160,374,441,601,
554,263,494,704,738)(164,509,457,425,560,285,615,274,671)
(182,737,808,779,670,278,627,430,747)(185,720,344,529,460,657,710,450,
268)(192,294,707,599,796,694,711,317,350)(202,650,436,429,772,267,
336,516,521)(206,680,326,531,621,400,225,282,564)(217,514,246,347,
684,239,395,787,660)(219,731,697,489,368,384,577,469,328)
(237,265,701,330,628,703,778,713,507)(251,415,626,590,482,281,501,646,
811)(261,414,818,295,470,771,677,382,423)(272,783,439,676,408,472,
765,337,334)(302,318,644,366,607,542,508,606,476)(324,354,447)
(351,502,653,729,665,664,511,698,478)(654,734,763),
( 1,736, 6,445,250,644)( 2, 74,483)( 3,202,227,168,680,530)
( 4,351,303,308,344,238)( 5,673,501,763,728,332)( 7,350,393,559,
512,498)( 8,799,798,578,631,417)( 9,731,476,278,696, 73)
( 10,762,196,670, 77,576)( 11,242,129,453,402,336)( 12, 19,465,335,
299,284)( 13,211,577,458,449,382)( 14,282,642,586,531,721)
( 15,641,759,107,234,156)( 16,174,141,136,411,716)( 17,331, 95,683,
407,428)( 18,286,569,199,368,815)( 20,741,321,511,149,700)
( 21,459,125,399,481,179)( 22,167,781,219,779,570)( 23,401,499,469,
733,605)( 24,521,345,754,318,130)( 25,222,648,221, 40,515)
( 26,584,636,410,713,131)( 27,637,157,266,620,658)( 28,514, 49, 43,
171,384)( 29,581, 87,287,191,467)( 30,247,810,373,259,316)
( 31, 34,610,671,717,255)( 32,115,324,793,274, 45)( 33,734,801,212,
640,590)( 35,583,661, 59,794,197)( 36,777,561,632,170,102)
( 37,325,535)( 38,415,555,652,621,654)( 39, 67,412,709,808,385)
( 41,778,251,720,206,645)( 42,604,768,564,466,497)( 44,374,367,437,
267,275)( 46,538,231,653,337,708)( 47,252,534,490,554,651)
( 48,352,122,737,447, 76)( 50,338, 58,814,381,285)( 51,757,322,128,
789,207)( 52,406,625,276,257,442)( 53, 94,147,744,455,788)( 54,357)
( 55,743,290)( 56,392,797,419,664,574)( 57,509,169,669,159,296)
( 60,297, 68,725,371,519)( 61,770,470,774,224,314)( 62,233,488,395,
772,682)( 63,494,394)( 64,439,106,507,724,655)( 65,711,727,142,689,
553)( 66,537,265,546,272,307)( 69,482,573,173,183, 88)
( 70,135,495,262,726,306)( 71,377, 89,264,776,525)( 72,253,800,491,
758,416)( 75,647,738,585,279,268)( 78,160,424,248,707,685)
( 79,280,364,487,678,436)( 80,254,674,461,695,508)( 81,587,119,405,
520,627)( 82,244,236,698,281,819)( 83,310,319,114,701,693)
( 84,154,182,329,675,676)( 85,104,766,780,240,704)( 86,694,349,599,
201,592)( 90,372,715,608,817,782)( 91,609,443,540,667,582)
( 92,198,502,389,431,549)( 93,312,595,158,260,697)( 96,249,291,456,
137,650)( 97,598,775,769,369,745)( 98,462,133,120,226,165)
( 99,516,230,702,155,298)(100,475,593,246,548,740)(101,613,617,363,
630,457)(103,580,192,190,597,809)(105,506)(108,194,635,746,611,719)
(109,217,334,787,408,184)(110,204,446,209,588,767)(111,566,791,602,
660,730)(112,342,804,330,616,269)(113,790,551,317,748,563)
(116,749,176,118,358,550)(117,353,665,480,327,302)(121,409,619,277,
807,729)(123,354,666,558,532,164)(124,145,271,341,477,784)
(126,414,783,370,418,542)(127,175,380,152,541,714)(132,163,690,747,
333,579)(134,657,811,536,229,185)(138,293)(139,539,378,504,311,422)
(140,210,688,432,742,404)(143,309,705,686,362,340)(144,205,750,699,
756,692)(146,359,166,629,816,468)(148,429,153,544,603,228)
(150,646,313,806,460,326)(151,638,624,528,379,813)(161,305,752,434,
292,607)(162,764,454,529,710,628)(172,663,347,425,489,270)
(177,273,703,622,656,818)(178,208,560,200,361,435)(180,634,601,505,
718,684)(181,547,565,479,668,614)(186,639,567,448,258,691)
(187,355,643,243,526,486)(188,649,600,471,771,802)(189,568,427,606,
500,575)(193,451,441,662,323,223)(195,562,214,761,383,760)
(203,474,360,289,618,523)(213,712,288,356,672,722)(215,591,796,513,
596,785)(216,232,615,687,527,805)(218,681,397,388,391,751)
(220,444,633,484,679,496)(225,723,786,753,387,438)(235,463,343,543,
493,304)(237,812,365,420,396,472)(239,792,346,294,485,612)
(241,803,473,571,464,413)(245,524,452,261,557,503)(256,773,522,440,
301,739)(263,366,517,390,572,295)(283,589,423,623,533,594)
(300,735,426,376,478,626)(315,328,795,433,492,430)(320,386,398,400,
375,545)(339,659,510,348,518,403)(421,677,552,556,755,732)(450,706)
] ],
[ 5, 211341312, 1, "2", [ [ 288, 1 ], [ 512, 1 ], [ 18, 1 ] ], 1, "3D(4, 2)",
[ "3D", 2, 1 ],
[ ( 1,321, 96,609,216,672)( 2,267,177,188, 33,724)( 3,414,159,512,153,345
)( 4,401,661,528,114,676)( 5,793,221,569,230, 23)( 6,162,638,156,
740,199)( 7,520,711, 70,563,285)( 8,600,462,757,430, 28)
( 9,693, 27,561,664,622)( 10,240,147,302,737,363)( 11,502,738,553,
610,778)( 12,174,699,337,570,615)( 13,130,495,491,277,129)
( 14,344,404,227,224,271)( 15,374,356,803, 86, 64)( 16,670,467,742,
543,492)( 17,353,606,535,196, 94)( 18,264,324,590,297,640)
( 19,406,701,261, 44,556)( 20,635,575,421,313,376)( 21,688,424,314,
519,385)( 22,402,470,178,329,351)( 24,218,288,390,743,592)
( 25,270,449,407,642,739)( 26,692,143,567,555,205)( 29,552,403,359,
61,505)( 30,636,169,565, 59,603)( 31,448,796,146,521,719)
( 32,397,213,440,361,286)( 34,125,587,475,291,710)( 35,599,382,257,
310,797)( 36,370,459)( 37,150,126, 71,818,254)( 38,349, 80,817, 42,
210)( 39,572,238,439,585,231)( 40,433,444,119,766,483)
( 41,348,514,663,478,539)( 43,730,201,434,716,584)( 45,379,465,499,
410,649)( 46,222,341,375,212,573)( 47,115,568, 48,287,791)
( 49,135,725,517, 73,593)( 50,605,387,686,653,206)( 51,726,319,785,
736,352)( 52,214,340,268,597,367)( 53,428,761,283,255,704)
( 54,450,163,391,551,170)( 55,630,305,632,422,278)( 56,770,566,161,
109,591)( 57,124,332)( 58,530, 72,334,712,464)( 60,306,643, 79,395,
788)( 62,167,560,200,706,243)( 63, 87,460,342,420,527)
( 65,413,217,808,360,380)( 66,168,368,620,511,707)( 67,538,226,330,
186,819)( 68,289,118,656,771,393)( 69,331,408,338,683,790)
( 74,101,525,786,718,651)( 75,589,537,215,613,776)( 76,138,249,623,
752,571)( 77,172,744,451,522,696)( 78,624,749,727,700,312)
( 81,628,787,534,292,228)( 82,646,236,611,682,263)( 83,373,446,654,
500,665)( 84,625,396,204,703,728)( 85,594,110,815,259,734)
( 88,466,612)( 89,197,225,795,458,416)( 90,358,432,554,669,425)
( 91,735,476,772,142,626)( 92,171,468,723,139,473)( 93,326,229,350,
262,689)( 95,550,531,806,774,384)( 97,154,764,136,435,507)
( 98,496,399,429,441,666)( 99,784,242)(100,284,576,533,276,480)
(102,779,667,369,758,810)(103,327,634,733,549,362)(104,747,443,756,
185,542)(105,166,580,293,755,715)(106,198,155,364,179,486)
(107,546,759,652,239,732)(108,409,371,184,541,804)(111,763,299,469,
765,343)(112,497,437,113,513,668)(116,678,713,633,279,498)
(117,336,578,372,532,463)(120,260,614,378,253,273)(121,180,415,811,
247,346)(122,189,745,245,357,577)(123,300,485,234,183,721)
(127,574,207,436,523,789)(128,298,301,586,311,381)(131,456,315,274,
457,383)(132,269,182,545,220,708)(133,431,389,280,489,339)
(134,685,248,655,366,175)(137,488,447,318,526,762)(140,695,442,237,
354,536)(141,694,503)(144,618,509,783,677,152)(145,246,265,173,472,
192)(148,347,418,515,211,687)(149,658,233,698,627,493)
(151,455,471,582,746,750)(157,195,317,251,581,644)(158,325,675,702,
322,671)(160,244,232,562,417,813)(164,501,697,775,209,660)
(165,801,482,780,405,601)(176,650,604,647,751,365)(181,607,617,588,
714,807)(187,579,194,477,241,202)(190,595,540,602,223,547)
(191,768,193,355,659,809)(203,720,641,250,400,386)(208,608,453,805,
266,621)(219,398,781,275,256,510)(235,544,754,583,506,717)
(252,812,709)(258,639,729)(272,479,426,731,388,760)(281,684,303,722,
304,741)(282,377,814,557,394,637)(290,392,800,423,705,412)
(294,558,679,657,484,445)(295,461,816,333,487,494)(296,508,691,328,
411,598)(307,629,438,782,799,335)(308,559,773,524,673,748)
(309,616,798,419,681,452)(316,777,427,645,631,596)(320,753,323,690,
548,680)(454,481,619,792,648,516)(474,490,518,769,674,564)
(504,767,802)(529,662,794),
( 1,484,817,662, 79,336,320,368,410,159, 75,166,809,520,362,158,143,
84,664,180,546)( 2,618,264,529,462,761, 54, 24, 49,481, 32,339,436,
715,199,570,404,325,455,819, 72)( 3,802,734,401,649,491,611,327, 68,
390,309,393,591,599,337,721,719, 30,622,676,583)( 4, 56,150,456,575,
169,139,299,231,487,609,278,198,786,123,504,810,653,530, 51, 10)
( 5,695,366, 98,608, 46,389,730,114,726,176,399,808,636,360,767,659,
437,783,752,251)( 6,387,628,238,619,121,442,768,629,252,142,620,503,
83,549,319,428,271,584, 52, 65)( 7,779,228,586,386,555,128,230,626,
375,303,803,564,632,627,348,722,317,746,607,420)( 8, 89,668,243,771,
617,283,208,533,171, 88,518,601, 9,403,154,581,152,812,174,378)
( 11,385, 20,359,461,613, 58,147,737,440,799,214,155,269,506,333,260,
466,106,223,192)( 12,723,426)( 13,706,600,700,739, 35,663,196,430,
754,448, 14,582,413,286,129,200,683, 76,255,475)( 15,766,226,738,770,
17, 36,673,463,519,680,646,219,658,736,694,315,707,693,173,614)
( 16,759,185,513, 82,347,384,780, 43,551,412,183,656,435,778, 39,416,
380,753,274,427)( 18, 55,714,806,443,326,508,588,120,343,268,522,470,
434,720,290,411,560, 41,156,117)( 19,763,425,567, 80,449,341,654, 45,
275,249,634,459,789,364,395,805, 31,454,585,361)( 21,531,638,685,400,
110,179,497,138,675,757, 64,577,756,698,576,496,111,167,782,246)
( 22,190,554,140,800,221,376,328,660,285,590,528,523,233,250,515,342,
796,217,558,310)( 23,338,640,429,769,655,446,163,742,524, 33,748,287,
525,762,383,424,108,288,705,671)( 25,146,598,224,755,548,135,203, 60,
141,298,472,688, 34,724,349,248,471,201,483,556)( 26,247,136,351,191,
405,665,445, 99,469,686,344,197,241,100,777,550,371,144,421,697)
( 27,358,132, 63,204,312,571,107,539,101,293,574,391,262,612,775,521,
536,370, 90,815)( 28,218,589, 62,527,717,798,651,727,710,148,130,465,
50,354,432,305,648,784,282,329)( 29,801,718,447,367,392,334,406,418,
407,296, 57,579,791,814,116,679,415,605, 85,643)( 37,374,545,641,630,
595,164, 53,340,291,295,115,610,409,544, 38,631,794,422, 94,151)
( 40,514,747,122,266,708,552,510,492,661,740,165, 67,215,486,273,603,
388,807,267,682)( 42,369,263, 74,474,211,153,431,206,543,597,473,787,
381,526,451,259,209, 48,292,760)( 44,105,102,126,596,161,321,485,331,
725,505,537,490,181,322,256,379,240,621,104,187)( 47,645,335,566, 97,
773,356,441, 66,365,172,701,302,476, 71,323,253,790,113,535,572)
( 59,635,732,637,758,396,216,788,731,542,512,672,373,402,547,776,254,
433,690,691,210)( 61,615,499)( 69,540,225,593,494,657,109,559,444,
205,134,313,222,541, 70,398,257,764,207,363,234)( 73,642,265,709, 93,
699,168,517,160,419,103,177,728,684,749,793,239, 87,797,498,235)
( 77,438,408,184,279,314, 81,280,316,318,511,355,194,667,650,453,414,
702,795,294,647)( 78,227,573,439,804,711,162,137,460,346,578,276,735,
625,297,493,186,568,182,729,300)( 86,509,538,811,594,242,261,124,713,
623,237,743,345,127,681,195,507,272,175,666,452)( 91,149,563,311,118,
696,704,423,189,716,178,678,480,478,397,479,644,677,488,477,467)
( 92,372,781,639,553,145,689,532,277,353,501,232,324,284,624,745,670,
244,352,330,188)( 95,818,557,202,307,281,394,606,592,170,304,602,119,
212,457,500,308,772,464,301,245)( 96,350,565,633,258,332,125,482,289,
229,652,516,580,569,792,703,468,562,712,785,813)(112,357,674,193,133,
816,157,587,489,751,692,236,458,744,377,561,534,450,220,687,733)
(131,765,774)(213,750,502)(270,417,382)(306,604,669)(495,741,616) ] ],
[ 6, 634023936, 0, "2", [ [ 288, 1 ], [ 512, 1 ], [ 18, 1 ] ], 1,
"3D(4, 2).3", [ "3D", 2, 1 ],
[ ( 1,532,475,616,298,320,261,644,439,576,658,736,219,445,458,443,673,186,
161,719,270, 35,203,810)( 2, 80,180, 73,191,102,420,359,705,509,603,
528, 72,309,483,212,277, 89,159, 62,696, 48,118,466)( 3,604,481,434,
469,155, 16,602,645,519,305,171,154,807,158,140,795,659, 70,308, 78,
789,565,421)( 4,376,720,325,405,636,328,792,655,473,181,333, 15, 26,
626,245,755,242,239,785,761,651, 67,811)( 5,426,676,661, 56,316,119,
288,722,802,517,429,267,278,477, 32,614,104,776,704,297,486,190,133)
( 6,336,306,632,525,787, 65,292, 74,541,694,327,209,508,667,276,468,
90,153,283,459,799,812,606)( 7, 99,579, 96, 13,589,354,125,611,360,
374, 98,679,279,123,135,302,461,670,293,313,653,615, 63)
( 8,568,816,343,657, 34,569,522,307,129,814,322, 17, 38,772,573,767,
197,678,384,496,286,498,122)( 9,546,808,379,282,743,339,409,175,456,
441,260,430,450,422,815,464,347,168,730,631,389,136,513)
( 10,794,505,608,685,656,550,582,558,805,440,187,100, 33,112,132,452,
818,610,539,103,199,577,750)( 11,144,488,250,526,542,757,482,204,218,
61,213, 43,335,515,446,547,543,664,688, 44,321,737,251)
( 12,114,193,196,163,479,711,521,561,319,575,185,238,146,623, 28,813,
735,232,633,752,580,160,255)( 14,284,652,523,318,514,326,183,371,442,
760,337,448,749,703,791,669,264,729,612,554,341, 45,552)
( 18,701,540,290,584,231,301,402,766, 41,591,455,592,698,709,753,725,
406,137,176,511,609,120,134)( 19,707,131,281, 22,141,177,764,253,485,
21,516,724,494,126,291, 79,256,317,738,572,499,754,780)
( 20,399,635,804,367,587,786,152,418,480,380,672,294,217,355,492,162,
375,768,596, 57,368,771,741)( 23, 91,330, 93,553,139, 86,650,733,269,
465,470,692,638,369,392,419, 36,404,331,497,257,295,166)
( 24,585,666,717,462,693,396,414,272,149,428,471,432,627,425,662,668,
624,759,138,382,570,762,395)( 25,562,639, 76,449,121,226,312)
( 27,237,770,254,578,173,390,495,108,172,625,234,362,454,407,536,198,
194,640,345,489,746,641,235)( 29,557,340,387, 53,560,358,531,117,275,
113,444,310,236,634,460,778,803,274,304, 52,435,600,783)
( 30,386, 37,677,472,394,151,401,529,793,506,437,574,410,559,229,289,
205,690,649,243,530,169, 64)( 31, 49,364,601,500,111, 69,686,334,227,
147,713,567,742,549,474,731,311,258,501,796,809,388, 68)
( 39,164,249,342,699,718)( 40,206,695,338,700,467,751, 42)
( 46,490,323,411,586,588, 83,712,555, 94,372,817,184, 60,408,524,447,
71,487,544,101,663,391,721)( 47,618,607,756,647,533,648,775)
( 50,221,478,484,781,744,262,646,225,299,110,512,507,493,324,665,223,
97,127,654,329,381,605,106)( 51,170,798,777,385,107,537, 66)
( 54,740,708,622)( 55,332,689,156,344,373,630,248,271,208,504,246,116,
148,714,453,143,417,403,192,723,220,597,348)( 58,346,594,130,315,216,
706,675,268,734,782,620,167,280,202,377,296,252,273,518,182, 88,423,
433)( 59,728,145,502,178,715,228,361,363,566,581,314,349,230,748,427,
619,758,266,224,571,739,583,819)( 75,564,400,684,710,157,510,115,207,
179,773,660,287,680,188,590,788,200,806,412,629,240,128,520)
( 77,413,643,431,491,745,424, 82,378,259,691,801,716,784,800,215,702,
726,210,397,174,747,393,357)( 81,124,790,300,383,563,763,265,356,621,
189,769,687,211,613,436,438,263,303,457,195,628,637,451)
( 84,285,538,545,463, 85,105,527)( 87,548,617,697,599,350,683,476)
( 92,233,370,727,142,415)( 95,774,366,503,682,398,534,595,365,352,241,
109,222,416,535,593,671,201,214,765,681,674,353,556)(150,165,247,732,
351,779,551,598)(244,797),
( 1,391,330,129,745,542,688,407,477,352, 64,805,639,573,591,554,717, 25
)( 2,535,333,141,132,224,117,246,438,215,445,204,631,222, 87,349,
732,376)( 3,807,421,784,568,708,319,170,779, 14,251,566,694,382,260,
192,641,247)( 4,223, 49,557,727, 16)( 5, 79, 89,332,465,785,232,
279,111,710,532,771,758,526,324,479,792,728)( 6, 24,339,413,462,754,
633,344,658,137,265,706,816,623,386,809,746,521)( 7,753,789,155, 65,
221,115,123,408,195,657,497,776,729,387,593,733,162)( 8, 63,586,441,
255,564,443,747,725,617,510,423,678,650,420,318,742,774)
( 9,113,778,722, 69,624,401,798,402,494,654,741,645, 10,108,340,743,
205)( 11,268,434,509,464,380,515,471,188,122,632,501,803,533,418,165,
790,770)( 12,499,780,698, 67, 95,635,810,724,396,642,619,801,190,101,
72,576,534)( 13,106,186,472,738,304,748, 19,750,357,264,298,782,145,
796,377,773, 53)( 15,124,114,236,405,524,529,492,695, 62,327,544,359,
135,687,185,787,618)( 17,517,351,520,208,383,616,269, 59,157,709,303,
569,596,241,156,342, 42)( 18,439,210,325,563,512,559, 28,120,788,272,
256,196,496,597,105,474,768)( 20,696,505,752, 58,211,249,452, 22,714,
482,174,630,508,364,426,470,366)( 21,300,193,653,711, 81, 61,491,661,
91,323,218,369,607,777,237, 54,473)( 23,514,142,730,168,317,769,448,
149,253,504,417,620,283,412,626, 56,819)( 26,682,757,615,252,288,442,
296,458,353,767,194,759,178,763,528,481, 84)( 27, 35,446,361, 68,127,
116,181,547,240,721,229,794,164,326,173,540,602)( 29, 43,433,230, 44,
622,440, 73,550,263,793,202,700,198,385,450,651,365)( 30, 77,335,151,
131,538,348,271,546,370,276, 75,762,161,328, 94,737,139)
( 31,583,525,484,254, 90,261,415,549,169,718,755,692, 98,384,502,734,
606)( 32,287,659,125,643,206,467, 82,389,212,744, 83,320,707,334,531,
466,167)( 33,511,488,429, 93, 47,556,177,189,599,219,551,588,378,158,
159,503,460)( 34,399,638,561,403,234,644,248,375,250,277,410,731,500,
690,666,435,613)( 36, 96,519,180,425,306, 37,480,160,577,468,579,652,
562, 92,239, 78,649)( 38,409,395,397,119,244,146, 74, 57,270,594,587,
341,487,461,749,294,102)( 39,291,522,199,273,671,478,154,449,147,537,
804,360,292,290, 99,614,813)( 40,584,297,363,362,603,598,258,104,311,
495,368,379,183,148,663,585,134)( 41, 71,197,453,309,347,313,726,675,
640,469,677,669,506,281,381,346,475)( 45,337,293,463,571,637,301,723,
808,656,797,673,518,103,493,274,454,685)( 46,665,604,200,187,308,451,
138,483,140,572,553,683,672,295,398,226,697)( 48,621,705,660,100,811,
716,427,153,207, 50,371,136,627,578,182,126,262)( 51,581,595,552, 88,
574,513,713,373)( 52,704,214,419,302,565,179,321,121,338,150,128,213,
701,314,612,668,719)( 55,163,580,286,235,681,289,231,305,664,676,275,
414,428,285,447,600,570)( 60,354,184,720,605,815,411,390,242,356,217,
686,201,539,558, 66,783,107)( 70,684,636,817,406,530,799,674,802,259,
455,625,736,646,322,233,766,818)( 76,507,345,608,812,312, 97,203,355,
372, 86,416,555,772,437,144,227,431)( 80,166,118,171,548,647,761,456,
765,567,422,715,791,143,315,611,336,699)( 85,299,436,486,284,489,444,
648,629,610,655,367,760,712,329,609,735,560)(109,350,343,266,228,307,
238,216,601,680,172,280,394,176,310,374,516,245)(110,432,133,130,112,
703,404,459,590,775,545,795,764,392,476,628,689,316)(152,814)
(175,523,670,282,267,679,358,634,393,424,739,191,751,592,490,209,575,
740)(220,457,582,243,430,662,536,786,225,498,527,756,331,800,400,806,
543,693)(257,388,702,781,278,691,541,667,589) ] ],
[7, Factorial(819)/2,1,"2",[[818,1]],817, "Alt(819)", ["A",819, 1], "Alt"],
[8, Factorial(819),0,"2",[[818, 1]],819, "Sym(819)", ["A",819, 1], "Sym"]];
PRIMGRP[820]:=
[[ 1, 34440, 1, "2", [ [ 42, 10 ], [ 21, 19 ] ], 1, "PSL(2, 41)",
[ "L", [ 2, 41 ], 1 ],
[ ( 1,344,769,369,229,252,609,716,462,520,682,697,201,202, 84,230,408,622,
421,393,117)( 2,435,796, 99,214,186,103,174,499,818,751,108,724,377,
74,604, 66,133,349,569,288)( 3,270,706,219,545,367,326,254,453, 8,
126,603,274,220,698,286, 72, 17,376,132,406)( 4,180,733,389,299, 52,
627, 71,238,449,505, 34,147, 32,248,804,561, 14, 46,415,438)
( 5,510,588,735, 63, 75, 68,228,358,143,113,476,250,237,791,714,437,
439,596,203, 29)( 6,474,806,555,494,531,448,156,319,723,195,433,224,
722,297,538,263,691,155,785,746)( 7,789,391,356, 98,159,235,675,125,
632,446,194,104,451,764,225,418,508,328,430,403)( 9,576,554,106,483,
644,504,310,566,124,689,478,379,330,556,226,417,741,552,335,294)
( 10,374,621,444,651,579, 55,649,565,619,199, 92,663,139,383,626,311,
669,707,187,200)( 11,402,744,261,167, 38,558,710,730, 43,500,447,496,
109,289,189,304,606,382,615,211)( 12,283,690,176,585,255,743,617,608,
317,128,455,661,257,196,157,101,315,547,668,629)( 13,459,292,112,777,
521,799,178,253,794,562,291,385,457,306,275,540,120,695,386,713)
( 15, 78,717,542,625,380,808,116,163,560,454,670,633,279, 19,206,575,
683,388,192,392)( 16,553,782,696,684,424,216,612,583,136,680,543,171,
345, 44,184,774,783,236,357,347)( 18,123,719,780,130,233,321,781,600,
650,587,295,758,570, 56,718,397,217,801,268,470)( 20,395,501,262,240,
348,458,243,584,431,677,372,674,102,308,350, 80,114,445,686, 87)
( 21,378,182,409,175,241,767,218, 61,704, 47,373,191,407,209,582,572,
516,443,737,272)( 22,210,518, 31,529,422,285,652,559,363, 23,725,548,
69,502,527, 58,129,346,793,605)( 24,748,111,208,401,432,277,814,305,
709, 95,324, 88,190,452,416,685,489, 54,506, 96)( 25,314,146,811,355,
60,614,290,507,131,320,426,727,563, 48,354, 77,427,528,598,127)
( 26,807,492,456,185,792,259,384,298,334,145,736, 64,467,765,364,150,
549,513,410,244)( 27,766,207,400,703,338, 86,759,234,756,258,144, 93,
624,522,316,589,679,231,269,154)( 28,170,662,153,740,631,819,110,168,
786,646,616,525, 59,468,790, 49,567,630,475,318)( 30,574,778,763,352,
273,246,414,485,169,503,779,164,212,221,568,302,327,309,526,188)
( 33,267,359,149,434,361,242, 70,539,484,336,732,351,638,532,535,160,
581,517,429,278)( 35,636,480,571,282,337,339,635,820,265,441,772,541,
65,753,590,460,381,141,734,498)( 36,701, 50,681,405,436, 62,332,490,
512,471,440,688,760,152,423,739,197, 82,166,353)( 37,368,312,754,795,
648,247,515, 57,591,205, 85,771, 41,660,464,731,301,115,411,672)
( 39,620,472,481,280,371,487,387,266,803,640, 97,425,343,673,396,708,
573,550, 53,711)( 40,749,466,747, 81,659,420,121,260,797,256,639,105,
580,390,479,463,412,687,578,222)( 42, 91,641,323,557,360,495,634,657,
666,607,172,341,693, 79,161,676,645,610, 51,665)( 45,251,593,271,519,
370,213,442,303,179,239,322,375,592,602,656,745,413,800,702,671)
( 67,647,119,533,181,551,151,264,655,810,100, 90,770,809,148,198,752,
816,755,276,534)( 73, 89,628,469,419,107,788,530,705,664,477,366,815,
805,138,158,329,281,536,488,307)( 76,140,577,333,193,249,784,473,497,
712,601,134,165,245,694,162,491,654,537,514,738)( 83,340,509,813,296,
428,122,637,586,546,564,331,762,757,118,729,613,482,142,523,692)
( 94,720,728,511,227,642,599,597,643,594,611,287,802,313,595,768,544,
223,817,394,699)(135,183,726,232,215,742,524,812,653,461,775,399,623,
398,776,365,204,177,700,300,667)(137,798,750,325,450,284,678,362,465,
658,787,761,486,715,773,721,618,404,173,293,493),
( 1,615,580,339,371,712,504)( 2, 81,271,342,370,649,751)
( 3,784,171,260, 19,761, 80)( 4,288,218,337,196,602,307)
( 5,483,134, 52,604,315,151)( 6,533,593, 61,222,795,627)
( 7,797,620,389,245,433,532)( 8,540, 26,487,521,732,362)
( 9,275,675,321,301,406,539)( 10,640,111,415, 89,726,710)
( 11,808,815,253, 96,711,639)( 12,723,162,112,266,621,576)
( 13,696,663,584,213,325,746)( 14,401,572,443, 74,278,664)
( 15,453,227,228,720,545,653)( 16,204,713,349,733,701,174)
( 17,396, 72,770,716,697,721)( 18,493,451, 59,759,805,395)
( 20, 54,562,419,157,133,686)( 21,752,365,444,731,140,274)
( 22,590,294,651, 55,477,163)( 23,181,668,106,626,645,589)
( 24,425,360,609,149,753,506)( 25,670,449,441,287,199,424)
( 27,628,385,666, 40,787,486)( 28,170,236,310,616,225,205)
( 29,183,448,528,331,558,169)( 30,293,437,596,779,793,454)
( 31,194,798,303,577,553,292)( 32,657, 84,742,434,242,270)
( 33,456,431,108,799,138,656)( 34,219,534,176,180,481,820)
( 35,167,757,320,667,510,168)( 36,150,316, 65,518,529,166)
( 37, 48,505,741, 85,489,460)( 38,215,502,631,350,165,259)
( 39,688,240,623,794,463,304)( 41,348,484,178,776,782,416)
( 42,161,669,185,694,282,479)( 43,421,418,514,280,492,187)
( 44,762,308,715,202,251,420)( 45,551,478,353,299,247,249)
( 46,683,191,725,803,496,311)( 47,192,775,458,383,289,687)
( 49,665,214,189,258,452,476)( 50,135,469,659,121,391,765)
( 51,412,430,160,750,760,522)( 53,382, 90,785,238, 77,319)
( 56,334,332,475,771,546,127)( 57,508,578,172,728,126,333)
( 58,498,587,563,564,774,153)( 60,708,341,414,730,173,719)
( 62,241,435,591,335,336,221)( 63,244,390,291,523,536,745)
( 64, 98,530,267,462,525,145)( 66,459,654,328,791,137,517)
( 67,678,672,652,614,739,583)( 68,570,718,392,327,624,513)
( 69, 70,243,792,702,473,387)( 71,279,515, 99,210,777,377)
( 73,207,786,124,264,780,582)( 75,599,296,355,363,209,277)
( 76,239,571,704,617,471,472)( 78,661,635,200,156,690,568)
( 79,499,619,276,680,497,273)( 82,330,470,131,597, 86,216)
( 83,561,707,265,113,592,329)( 87,158,767,519,677,488,516)
( 88, 93,423,344,398,755,367)( 91,574,738,115,465,466,796)
( 92,495,804,366,756,198,816)( 94,693,641,642,426,758,314)
( 95,254,658,575,622,559,231)( 97,224,427,386,474,618,500)
(100,376,411,141,346,802,352)(101,268,262,464,600,636,375)
(102,110,703,594,541,361,527)(103,676,819,735,305,154,109)
(104,340,581,781,399,369,179)(105,807,359,812,164,351,722)
(107,235,417,705,565,313,747)(114,569,724,272,537,763,601)
(116,714,309,402,586,354,297)(117,197,285,393,566,692,764)
(118,318,662,428,175,281,674)(119,548,524,326,717,440,450)
(120,598,612,467,432,783,159)(122,261,298,468,237,560,146)
(123,810,211,188,323,673,290)(125,611,605,186,681,544,556)
(128,542,229,634,306,603,608)(129,212,585,356,357,818,372)
(130,632,422,368,400,394,811)(132,445,737,698,573,195,343)
(136,286,404,778,595,436,736)(139,644,347,193,706,511,557)
(142,689,671,230,388,217,547)(143,685,501,152,507,729,699)
(144,526,633,256,538,691,809)(147,789,743,220,543,801,226)
(148,182,637,660,579,442,252)(155,284,638,283,647,806,324)
(177,485,269,773,555,531,374)(184,814,648,206,438,255,373)
(190,684,234,606,769,380,263)(201,607,550,748,208,364,455)
(203,655,246,300,405,302,439)(223,338,790,409,490,317,549)
(232,408,447,766,754,709,494)(233,429,413,384,397,345,407)
(248,509,643,446,322,250,403)(257,788,552,381,734,646,682)
(295,358,772,679,503,461,650)(312,749,768,410,695,700,727)
(378,567,512,625,744,480,491)(379,817,482,457,554,588,800)
(535,813,740,610,630,613,629) ] ],
[ 2, 68880, 0, "2", [ [ 42, 19 ], [ 21, 1 ] ], 1, "PGL(2, 41)",
[ "L", [ 2, 41 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 52, 93,162,268,410,567,597,721,734,487,447,312,
464,143,243, 13, 24, 45, 82,146,246,385,372,530,672,771,781,708,590,
450,319,220,145,211)( 3, 6, 12, 22, 41, 76,135,230,368,527,668,768,
786,762,713,526,667,758,805,661,749, 23, 43, 80,142,241,379,209,341,
501,650,422,463,617,735,558,183,305,457,610)( 5, 10, 19, 35, 65,116,
199,329,484,634,740,736, 55, 99,173,286,304,393,355,380,537,677,557,
691,394,428,584,421,575,702,654,719,790,798,756,651,513,367,509,361)
( 7, 14, 26, 48, 86,153,255,395,549,289,437,594,720,147,248,297,448,
73,130, 64,114,196,326,103,179,298,449, 98,171,200,331,488,622,739,
353,514,596, 51, 92, 44)( 9, 17, 32, 59,106,184,306, 57,102,177,294,
443,563, 60,108,187,172,285,433,589,715,242,381,539,678,133,227,363,
523,663,766,800,239,378,483,215,348,247,386,543)( 11, 21, 39, 72,128,
221,354,516,659,764,788,813,820,808,540,276,423,578, 36, 67,120,206,
337,495,113,194,105,182,303,190,317,468,620,737,801,347,508, 70,125,
216)( 16, 30, 56,100,119,205,261,254,178,296,446,602,425,581,705,785,
793, 94,164,272,416,538,129,223,358,517,640,131,225,360,521,662,718,
795,816,810,167,277,424,579)( 18, 34, 63,112,192,320,471,624,338,115,
198,328,482,633,750,699,165,274,420,332,490,639,630,369,263,404,560,
693,675,181,301,174,288,436,592,717,794,815,804,382)( 20, 37, 69,123,
212,344,505,224,359,519,571,458,611,731,799,411,531,674,441,598,351,
511,561,694,452,606,518,660,445,601, 89,138,235,374,534,619,430,588,
714,252)( 25, 47, 81,144,244,217,350,510,655,760,724,576,489,637,117,
201,333,491,641,503,554, 27, 50, 90,158,262,402,334,435,580,704,593,
701,754,728,455,608,722, 85,152)( 29, 54, 97,169,281,300,207,339,362,
478,631,747,346,390,545,330,486,635,751,726)( 31, 58,104,180,299,451,
605,548,550,336,494,645,755,321,473,626,744,121,208,340,499,202,228,
365,524,664,577,703,657,763,256,397,311,462,496,647,757,287,434,280)
( 33, 61,109, 38, 71,127,219,343,204,335,493,644,742,803,819,271,415,
570,233,373,532,284, 66,118,203,154, 46, 84,150,251,391,314,467,140,
238,377,536,676,679,773)( 40, 74,132, 68,122,210,342,502,323,477,616,
269,412,568,698,743,652,159,264,383,456,609,730,357,291,439,515,307,
459,612,587,712,792,669,770,403,559,257, 49, 88)( 42, 78,139,236,375,
535,632,748,784,688,636,753,316,124,214,293,442,599,723, 77,137,234,
226,349,498,541,681,520,273,418,278,426,583,707,392,546,685,776,812,
779)( 53, 95,166,275,406,193,322,475,628,533,149, 79,141,240,185,308,
460,613,732,752,791,603,727,697,646,695,197,327,481,470,623,741,759,
476,629,107,186,310,461,615)( 62,111,191,318,469,621,738,802,818,807,
769,398,552,504,653,245,384,400,555,408,565,237,126,218,352,512,656,
761,806,814,551,666,396,387, 83,148,188,313,465,507)( 75,134,229,366,
525,665,767,673,772,413,569,528,670,324,222,356,309,161,267,409,566,
696,782,417,572,638,729,709,789,687,302,454,370,522,614,480,266,407,
564,376)( 87,155,258,399,553,444,600,500,649,684,775,796,817,686,777,
809, 96,168,279,427,472, 91,160,265,405,562,101,176,292,440,282,429,
586,711,213,163,270,414,151,253)(110,175,290,438,595,671,680,774,811,
474,627,745,582,706,787,625,136,232,371,529,156,259,295,157,260,401,
556,689,778,797,585,710,492,643,725,573,700,783,683,658)
(170,283,431,547,453,607,497,648,231,195,325,479,189,315,432,250,389,
544,364,249,388,485,345,506,542,682,765,746,733,419,574,690,780,466,
618,642,604,591,716,692), ( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)
( 6, 13, 25)( 8, 16, 31)( 10, 20, 38)( 12, 23, 44)( 14, 27, 51)
( 15, 29, 55)( 17, 33, 62)( 19, 36, 68)( 21, 40, 75)( 22, 42, 79)
( 24, 46, 85)( 26, 49, 89)( 28, 53, 96)( 30, 57,103)( 32, 60, 47)
( 34, 64,115)( 35, 66,119)( 37, 70,126)( 39, 73,131)( 41, 77,138)
( 43, 81,145)( 45, 83,149)( 48, 87,156)( 50, 91,161)( 52, 94,165)
( 54, 98,172)( 56,101, 71)( 58,105,183)( 59,107,155)( 61,110,190)
( 63,113,195)( 65,117,202)( 67,121,209)( 69,124,215)( 72,129,196)
( 74,133,228)( 76,136,233)( 78,140,239)( 80,143, 92)( 82,147,249)
( 84,151,254)( 86,154,257)( 88,157,261)( 90,159,141)( 93,163,271)
( 95,167,278)( 97,170,111)( 99,174,289)(100,175,291)(102,178,297)
(104,181,302)(106,185,309)(108,188,314)(109,189,316)(112,193,323)
(114,197,235)(116,200,332)(118,204,336)(120,207,134)(122,211,234)
(123,213,346)(125,217,351)(127,220,244)(128,222,357)(130,224,240)
(132,226,362)(135,231,370)(137,229,367)(139,237,152)(142,242,382)
(144,245,375)(146,247,387)(148,250,390)(150,252,393)(153,256,398)
(158,263,384)(160,266,408)(162,269,413)(164,273,419)(166,276,179)
(168,280,350)(169,282,430)(171,284,315)(173,287,435)(176,293,420)
(177,295,445)(180,300,238)(182,304,456)(184,307,427)(186,311,463)
(187,312,198)(191,319,470)(192,321,474)(194,324,478)(199,330,487)
(201,334,492)(203,264,218)(205,335,286)(206,338,497)(208,296,447)
(210,343,504)(212,345,507)(214,347,246)(216,349,354)(219,353,515)
(221,355,464)(223,301,453)(225,361,457)(227,364,499)(230,369,281)
(232,372,531)(236,376,356)(241,380,538)(243,383,541)(248,317,310)
(251,392,547)(253,394,548)(255,396,484)(258,400,267)(259,326,480)
(260,391,423)(262,403,388)(265,406,563)(268,411,473)(270,379,511)
(272,417,285)(274,421,576)(275,422,577)(277,425,582)(279,428,585)
(283,432,586)(288,426,414)(290,306,458)(292,441,305)(294,444,559)
(298,450,604)(299,452,410)(303,455,523)(308,337,496)(313,466,619)
(318,433,590)(320,472,553)(322,476,555)(325,348,509)(327,342,503)
(328,483,610)(329,485,628)(331,489,638)(333,389,341)(339,498,609)
(340,500,608)(344,477,630)(352,513,658)(358,518,365)(359,520,661)
(360,522,601)(363,510,578)(366,526,536)(368,528,377)(371,468,378)
(373,533,482)(374,475,575)(381,540,680)(385,542,683)(386,454,521)
(395,550,685)(397,551,688)(399,554,407)(401,557,552)(402,558,692)
(404,561,674)(405,514,595)(409,448,438)(412,567,665)(415,440,597)
(416,571,696)(418,573,701)(424,580,486)(429,587,713)(431,493,437)
(434,591,663)(436,593,719)(439,596,519)(442,581,461)(443,564,695)
(446,603,728)(449,546,686)(451,471,625)(459,491,642)(460,614,467)
(462,616,682)(465,529,671)(469,622,740)(479,490,640)(481,632,749)
(488,636,494)(495,646,524)(501,651,678)(502,652,634)(505,654,759)
(506,606,729)(508,544,684)(512,657,739)(516,598,722)(517,647,731)
(525,666,717)(527,669,711)(530,673,672)(532,660,760)(534,675,698)
(535,539,679)(537,589,607)(543,594,545)(549,687,704)(556,690,781)
(560,641,565)(562,645,756)(566,697,773)(568,664,574)(569,699,621)
(570,633,737)(572,639,744)(579,655,732)(583,708,788)(584,709,790)
(588,715,707)(592,718,721)(599,724,797)(600,725,798)(602,726,637)
(605,700,767)(611,644,754)(612,706,617)(613,733,787)(615,734,649)
(618,736,741)(620,668,769)(623,742,804)(624,743,629)(626,676,631)
(627,746,727)(635,752,643)(648,758,782)(650,745,770)(653,659,714)
(656,762,808)(662,765,723)(667,747,693)(670,681,677)(689,779,750)
(691,735,800)(694,771,774)(702,784,812)(703,776,738)(705,786,806)
(710,791,751)(712,793,802)(716,764,809)(720,796,753)(730,757,766)
(748,783,794)(755,772,778)(761,807,817)(768,810,818)(775,785,801)
(777,813,816)(780,789,799)(792,814,795)(803,811,805)(815,819,820) ] ],
[ 3, 1721606400, 1, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2)",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,373,206,492,411, 14,218,275,130, 99, 77,573,342,180,799, 50,113,778,
750,680)( 2,386,417,527,640,271,278,752,105,415,560,259,202,693, 65,
665,792,565,700,789)( 3,410,559, 67,485,323,501,401, 92,296,328,783,
48,756,315,658,493,595,158, 72)( 4,360, 88,217,216,282,646,212,167,
429,354,428,721,549,719,543,213,357,353,289)( 5,348,349,115,104,254,
696,626,154,241,782,598,483,396,470,265,724,225, 31,146)
( 6,397,762,341,686,303,346, 8, 18,625,594, 42,277,495,149,124,525,
95,235,651)( 7,399,729,787,502,310,122,572,156,797,478,119,512,135,
636,371,587,327,418,567)( 9,335,131,723,300,293,802,662,143, 33,690,
381,776,324,553,477, 28, 40,531,458)( 10,367,326,308,760,333, 62,446,
117,677,223,728,140,603,228,239,316,476,656,178)( 11,547,172,720,545,
740,209, 44, 78,425,743, 54,715,546,355,746,433,432,641,717)
( 12,469, 35,817,813,634,660,708,382,683,466,794,652,133,280,179,160,
614,505,420)( 13,707,710,222,364,161,450,298,620,526,273,694,139,320,
522,503,246,112, 43,618)( 15,786,538,579,188,536, 63,562,808,297,675,
465,337,494,440, 98,581,815,279,321)( 16, 47,240,398, 21,201,757,245,
739,627,409,539,481, 76,597,584,276,390,120,519)( 17,141,391,269,452,
682,628,435,272, 70,134,184,508,175,196,260, 85, 73,800,123)
( 19,306,767,442,726,384,400,638,473,237,609,405,274,596,110,422,557,
667,221,186)( 20,266, 81,256,262,809,227,472,766,795,270, 93,479,488,
207,128,818,725,467,674)( 22,744,359,645,361,171,748,288,214,431,215,
742,716,548,284,286,745,643,281,169)( 23,637,654,394,244, 86,669,137,
692,623, 32,423,507,325,530, 41,811,487,599,292)( 24,162,157,676,793,
520,564,412,500,684,142,177,340,751,607,253,770,804, 53,498)
( 25,533,230,765,451,229, 60,586,632,238,419,497,784,132,362,801,759,
159,336,604)( 26,685,304, 37,514,687,468,195,414,528,366,343, 46,176,
448,482,753,404,820, 51)( 27,490,695,138,136,455,610, 75, 84, 97,733,
83,657,601,775,589,796,236,108,203)( 29, 34,291,192, 79,779,173,619,
558,242,678,790,511, 89,317,563,205,602,738,705)( 30,644,642,170,164,
647, 64,165,283,430,285,358,714,550,648,427,166,210,713,544)
( 36,193,147,664,463,444,732,220,812, 96,351,736,144,489,805,114,402,
365,672,383)( 38,471,474,374,441,819,182,524,722,631,204,392,653,691,
712,462,621,569, 82,727)( 39,731,464,329,248,578,459,421,517,532,814,
460,781,689,224,639,126,540,116,309)( 45,103,436,185,561,439, 61,702,
226,100,111,252,486,688,788,529,189,523,509,491)( 49,334,107,699,387,
109, 57,312,375,408,571,617,510,389,661,624,701,706,145,749)
( 52,457,250,233,263,190,555,372,258,407,516,552,650,754,424,577,199,
434,633,764)( 55,605,608,416,537,352,583, 94,771,413,513,755,777,496,
255,153,268,635, 90,769)( 56,758,671,629,803,768,200,174,331,681,385,
612,780,395, 80,234,663,388,311,659)( 58,187,575,798,377,148,655,322,
541,290,447,344,484,129, 91,438,370,445,582,363)( 66,521,515,576,332,
606,314,243,247,294,338,318,506,600,347,772,150,376, 69,251)
( 68,287,718,542,426)( 71,593,622,534,774,698,305,118,613,679,709,302,
480,181,673,219,453,106,810,580)( 74,127,499,101,152,763,191,807,350,
295,155,197,208,319,570,670,301,231,379,703)( 87,554,267,369,615,566,
592,668,711,630,257,591,339,393,378,806,734,791,574,443)
(102,588,449,773,261,437,454,313,264,816,368,194,697,461,163,330,406,
183,504,611)(121,551)(125,568,151,475,666,299,585,730,704,785,556,
761,616,518,535,735,380,249,345,232)(168,356,211,649,747)(198,590)
(307,737)(403,456), ( 1,428,729, 24,333,312,408, 45,500,406,401,134,
766,694,544,197,543,212,734,210, 21,814,468,587,591, 97,448,273,308,
600,525,106,643, 38,763,326,773, 14,598,817)( 2,407,520,703,154, 65,
150,625,651,277,772,245, 90,707,485,246,555, 46,103,699,425,108,275,
507,301,315,454,321,413,722,645,631,727,124,557,113,189,374,608,110)
( 3,529, 26,489,372,148,548,181, 40,213,427,522,123,681,290,220,497,
818,387, 47,337,559,668,271,458,733, 18,311,160,784,760,561,486,200,
135,607,572,358,638,617)( 4,678,656,125,484,233,203,819,711,751, 50,
381,545, 15,775,214,541,605,809,376,759, 77,235,186, 33,515,491,287,
456,426,396,495,803,289, 64,753,679,391,648,300)( 5,627,292,223, 62,
477,434,482,195,629,519,799,650,696,736,185,571,474,528,296,224,701,
606,670,403, 35,416,307,603, 82,673,719,563,369,328,453,343,363,588,
568)( 6,298,219,644,704,556,805,674,130,147,138,284,665,675,581,173,
565,261, 30,614,153,466,562,756,554,375,429,297,226,121,257,771,237,
444,348,242, 55,352, 12,663)( 7,800,392,279,602,721,592,354,808,569,
334,661,378,737,231,244,518,346,174,778,613,285,412,104,120,757,480,
13, 68,259,460, 51,402,526,725,505,128,335,618,432)( 8,238,101,344,
184,632,262,313,314,662,639,483,241,724,345,204,531,523,272,455,536,
338, 28, 20,739,206,441,254,660,576, 63,194, 74,611,417,385,303,414,
658, 36)( 9, 99,748,501,527,390,702,537,433,450,695, 91,264,659,117,
234, 16,156,475,136,735,236,746,350,191,464,478,265,769,230,251,256,
161,690,623, 85,646,384,628,395)( 10, 89,447,796,744,797, 32,119,362,
87,179,595,472,718, 53, 19,512,709,622,540,322,597,132,430,747,642,
467,331,509,386,137,371,325,770,208,720,471,404,578,202)
( 11,225,349,217,323,163,329, 54,365,564,684,730,698,761,593, 25,250,
752,258,410,742,274,667,810,112,207,405,816,630,109,493,671, 58,283,
599,263,511,546,240,294)( 17,457,610,379,340,481,190,424,710, 39,305,
774,177, 95,521,647,787,133, 71,440,168,530,445,122,616,738,196,141,
70, 57, 49,360,570,692,469,780,431,657,499,583)( 22,170, 72,806,804,
420,626,443,502,435,364,779,149,793, 23,573, 94, 69,697,341,749,755,
370,359,281,316,514,461,687, 29,317, 88,553,282,506, 83, 81,131,320,
310)( 27,653,641,547,205,585,215,151,708,677,446, 43,693,143,634,166,
439, 80,463, 37,182,669,813,792,269,309,767,193,299,162,566,558,422,
56,534,762, 96,293,221,492)( 31,713,782,339,680,105,802,107,503,267,
411,291,218,280,159, 93,726,794,723,490,418,786,716,688,383,462,356,
676,438,685, 79,276,409,449,494,577,560,171,129,539)( 34,785,582,239,
655,347,232,192,712,255,596,437,754,164,398,714,330,415,393,801,451,
649,140,421,465, 98,102, 73,594,689,304,666,288,768,188,807, 59,728,
278, 78)( 41, 42,633, 60,142,111,198,382,706,366,100,652,496,115,180,
357, 76,741,127,165,580,249,682,516,498, 52,377,533,732,253,615,612,
637,367,691,789,532,740, 86,783)( 44,487,176,327,155,353,419,139,811,
635,551,574,590,776,538,152,302,459,146,380,791,399,442,552,640,750,
619,342,169,266,604,584,187,286,157,589,332,601,400,268)
( 48,394,504,715,361,373, 61,586,199,790,812,144,672,524,654,798,295,
222,795,517, 75,567,621,765,781,731,175,686,705,167,717, 92,389,126,
67,550,227,229,209,609)( 66,201,270,158)( 84,118,252,368,470)
(114,243,397,351,248,172,820,306,513,788,436,620,324,664,423,542,247,
479,211,758,473,579,228,178,476,815,549,183,116,216,336,260,508,145,
575,777,318,452,764,355)(319,510,624,743,700)(488,636,683,745) ] ],
[ 4, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,482,383,424,612,781, 37,347,774,141,678,623)( 2, 84,661,422,216,752,
110,631,252,642,619,348)( 3,687,250,418,477,771,229,332,504,526,218,
725)( 4,108, 41,416,351,801,291,727,729,459,167,328)
( 5,502,136,423,711,787,350,765,360,668,555,135)( 6,764,486,417)
( 7,636,591,419,261,740,550,132,153, 25,260,763)( 8,211,795,420,162,
19,581,551,270,253, 60, 64)( 9,407,521, 11,819,811,735,202,621,257,
757,208)( 10,307,281,421,522,813,772, 68,468,394,364,557)
( 12,133,297,365,237,559,405,451,185,345,792,605)( 13,530, 35,561,222,
362,469,667,191,120,517,817)( 14,442,357, 85,182,259,796,154,240,696,
318,256)( 15,267,491,601,176,679,534,406,228,489, 77,471)
( 16,219,188,217)( 17,400,142,139,232,168,654,280,179,498,716, 59)
( 18,713,606,794,197,485,691,577,223,273,127,707)( 20,119,474,800,689,
47,674,101,363,285,298,453)( 21,384, 90,143,505,264,573,714,472,742,
452,650)( 22,603,125,215,758,675,286,195,627,171, 29,181)
( 23,430,372,566)( 24,571,266,737,305,107,634,376,115,356,539, 58)
( 26,730,549,269,408,346,810,490,698, 78,702,680)( 27,777,236,602,481,
506,226, 81,514,719,212,790)( 28,230,658,368,106,190, 46,770,323,209,
778,283)( 30,288,507,268,331,450,272,535,134,693,656,632)
( 31,148,596, 57)( 32,458,413,210,807,574,434,178,587, 39,588,199)
( 33,785,158,797,508,399,677,359,487,296,640,319)( 34,681,316,568,578,
66,515,812,798,380,644,662)( 36,655,457,733,392,276,353,312,660,509,
580,462)( 38,537,529,265)( 40,709,780,600,538,579,338,169,494,109,
277,671)( 42,395,635,138,375, 86,492,335,731,664,385,512)
( 43,172,165,739,622,470,793,516,814,788,475,754)( 44,243,461,563,131,
198,310, 49,327,234,736,426)( 45,274, 79,367,695,145,593,692,411, 89,
808, 56)( 48,802,646,562,715,708,755,304,343,575, 52,614)
( 50,445,370,599,361,124,610,786,706,767,444, 61)( 51,196,536,263,164,
245,388,382,294,184,155,745)( 53,159,791,213,746,638,500,224,637,685,
670,244)( 54,342,330,144)( 55,545,435)( 62, 74,625,738,560,525,129,
648,429,446,726, 99)( 63, 70,751,564,271,652, 95,615,157,784,467,301)
( 65,313,620,214,775,374,391,183,607,753,428,235)( 67,379,433,137,320,
518,816,782,102, 92,116,480)( 69, 93,203,567,439,311,205,396,548, 72,
204,117)( 71,647,300,597,672,464,431,501,398,373,659,292)( 73,734)
( 75,251,690,732,114,175,448, 98,299,239,284,641)( 76,744,723,369,337,
496,553,531,721,161,762,126)( 80,317,712,799)( 82,113,673,598,308,
393, 91,293, 96,565,404,503)( 83,354,174,140,443,454,249,511,528,582,
238,339)( 87,613,743,366)( 88,558,585,604,624,333,324,476,761,630,
576,402)( 94,427,322,156,750,390,460,493,465,618,705,748)
( 97,663,645,389)(100,397,722,189,519,818,760,180,377,303,556,225)
(103,728,639,227,569,130,387,192,358,626,495,242)(104,546,220,544,586,
700,233,410,704,806,248,152)(105,455,570,584)(111,314,302,463)
(112,123,344,756,665,694,329,378,617,611,766,315)(118,533,717,520,815,
741,275,309,425,683,484,649)(121,255,779,703,447,547,718,254,768,595,
510,437)(122,163,769,682)(128,513)(146,697,592)(147,466,200,432,589,
643,206,306,699,371,201,666)(149,341,409,608,805,651,543,524,440,479,
150,289)(151,552,441,541,436,629,414,160,803,326,594,381)
(166,572,532,527,403,321,609,773,497,583,287,688)(170,412,478,804)
(173,231,247,194)(177,325,349,747,187,710,759,540,221,456,334,684)
(186,473,776,340,246,290,278,483,193,676,336,653)(258,809,415)
(262,789)(279,628,657,724)(282,386,686,488)(295,542,401,590)
(352,783,554,720)(438,669,701,499)(449,633)(523,820,749,616),
( 1,310,514,206,587,794,769, 86,357,633,315,158,403,116,355,115,690,
704,503,583,198,365,640, 30,753,626,813,334,194,754,549,544,465,209,
210, 16, 76,712,800,507, 2,282,269,370, 27, 65,660,326,240,697,171,
700,554,163,435,266,168, 62,784,815,594,493,629,434,582,205, 94,485,
556,662,693,138,294, 51,238,497,398,377,424,490)( 3, 14,671,448,733,
715, 68,480,258,515,765,656,739,133, 29,415,807,184,439,442,405,674,
653,336,285,134,542,707,125,217,180, 56,159,580,173,543,300,329,214,
227, 4,254,106,608,552,309,308,598,789, 34,585,235,458,104,758,449,
339,372,284,719,459,523,610,751,141,730, 61,187,406,575,756,785,366,
804, 15,571,553,601,140, 69)( 5,271,749, 38,457,394,226,149,510,179,
387,418,120, 19,118,777,267,484, 67,129,306,778,578,248,726,760,728,
146,454,444,324,631,717,511,251,518,734,524, 79,764, 7,323, 20,767,
122,230,413,376,636,775,702,750,301, 92,683,175,627,527,389,220,738,
579, 18,637,411,417,280, 73,588,274,495,386,573,680,208,565,592, 43,
560,100)( 6,303,591,123,195,555,456,744,735,402)( 8,293,427,687,
307,478,509,188,132,142,450, 31,191,165,275,641,519,154,156,263,558,
78,616,566,474, 22,367,373, 59,623,135,464,177,469,232,512,197,481,
363,286, 10,277,345,283,404,638,160,532,447,428,567,353, 33,139,520,
81,231,602,625, 23,126,236,642,298,537,344,635,597,299, 63,396,223,
762,395,221,541,127,183,265,617)( 9,333,189,531,747,153,603,711)
( 11,224, 91,216,204, 66,516,318,304,561,327, 17,420,648, 55,341, 70,
381,289,584,186,812,686,630,400,809,228,314,771,505,526,109,732,270,
39, 52,699,622,359,670,740,613,164,351,114,470,409,634,455,652,148,
659,780,441,128,793,551,508,242,802,600, 83, 44,684,192,262,724,433,
96,755,705,278,121,252,443,533,492,548,145,390)( 12,371,110,563,783,
72,795,311, 88,167,496,710,350,803,207,694,383,668,397,218,426,328,
229,161,720,408,281,818, 93,260,446,151,772,643,657,761,521,535,698,
364,416, 49, 37,727,342,632,661,358,569,619,476,604,550, 74,513,215,
250, 26,611, 60,436,525,291,325,144,103, 41,181,787,757,466,185,581,
237,279,502,136,624,268,678)( 13,810,176,137,650, 71,246,295,147,316,
412,675,723,320,545,628,586,211,190, 42,346,576,172,498,264,256, 32,
539, 75, 97,368,117, 25,451,766,107,430,776,529,517,335,423,799, 64,
90,713,157,131,706,647,392,225,607,682,241,491,791,615,332,200,354,
288,440,814,472,768,272,703,479,752,388,639,506,233,665,568,689, 47,
599,462)( 21,203,477,663, 95,620,782,399,287,530,725,609,369,572, 80,
401,422,695, 28,528,655,538,801,460, 85,431, 40,654,605,487,614,593,
504,716,770,798,155, 84,649,745,425,475,162,816,781,721,667,589,352,
379,673,105,540,646,722,736,820, 53,101,150,410,113, 99,557,407,577,
362,672, 45,152, 54,559,774,349,421,501, 82,488,143,743)
( 24,688,546,792,679,212,193, 50,817,356,375,570,255,297,731,437, 58,
500,438,718,596,385, 48,468,247,391,222,340,806,245,741,322,786,261,
393,219,317,461,199,677,182,714,312,666,471,313,453,290,338,574,483,
166,796,414, 89,547,380,808,213,239, 36,473,452,729,534,273,276,797,
664, 87,742,536,499,819,564,562, 77, 57,737, 35)( 46,788,482,685,249,
108,343,112,595,644,102,319,708,494,467,243,124,202,779,130,384,111,
331,174,302,360,811,244,348,669,292,763,746,759,296,612,618,692,790,
169,119,178,709,701,681,234,773,489,305,691,463,201,330,253,658,432,
590,696,259,651,321,382,374,805,196,621, 98,170,645,445,606,257,748,
337,676,522,429,361,419,347) ] ],
[ 5, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,528, 34,607,758, 48,186,402,664,100,666,619,105, 10,759,790, 60,462)
( 2,397,211,676,293, 57,330,697,143,511,327,419,312,610, 45,103,260,
604)( 3,257,726,461,719, 84,708,333,357,621,439,713,780,295,618, 46,
218,819)( 4, 77,341,746, 36, 30,483,633,803,489,235,786,609,493,232,
536,167,700)( 5,675,110,410,163, 75,375,428,554,710,533,523,546,187,
706,642,678,338)( 6,247,532,133,177, 12,150,775, 82,400,645,319,249,
358,401,442,555,287)( 7,641,590,567,574, 21,600,179,183, 32,788,414,
420,556,512,362,486,551)( 8,458,309,273,594, 39,744,515,298,284,107,
125,681,808,281,332,757,238)( 9,142,495,231,364, 66)
( 11,233,434,799,502,682,271,623, 42, 26, 70,208,266,520,585,732,354,
490)( 13,558, 98,326, 31,570,304,113,612,283,647, 44,291,709,793,275,
445,394)( 14,310,671,543,204,342,278,325,184,766,537,625,256,259,425,
470,636,687)( 15,635, 43,446,471,478,311,747,811,711,661,765,334,160,
689,178,243,548)( 16, 38,657,159,172,302,290,507,662,492,230,331,306,
349,376,384, 24,324)( 17,794,321,198,603,188,288,368,294, 92,367,345,
317,214,276, 54,734,752)( 18,475,552,620,785,128)( 19,714,385,337,
674,769,255, 23,488,228,108,728,277,817,161,810,514, 76)
( 20,754,185,506,109,431)( 22,544,252,753,222,371,569,658,361,510,438,
472,396,241,773,429,717,122)( 25,692,240,350,444,559,494,227,663,508,
646,448,634,457,474, 56, 51,778)( 27,174,223,592,740,688,248, 91, 58,
509,535,453,154,115,129,189,491,234)( 28,131,191,427,391,246,652,531,
606,513,792,469,476,718,577,750,192,722)( 29,695,503,378, 35, 99,104,
575,355,763,436,392,190, 97, 89,239,584,484)( 33,196, 52,286,665,707)
( 37,269,694,220,145,614,540,263,806,403,369,770,380,268, 73,820,422,
148)( 40,521,347,505,320,221,680,686,182,615,328,524,748,169,751,245,
299,580)( 41,727,613,406,329,651)( 47,156,628,723,409,526,670, 63,
809,616,644,812,755,205,164,360,704,437)( 49,497,451,720,426,640,343,
467,557,404,101,386,518,772,783,586,352,684)( 50, 90,272,677,630,776,
545,237,296,496,229,649,379,124,322,201,516,111)( 53,629,576,699,683,
165,155,335,611, 96,541,693,207,691,199,573,162,517)( 55,441,147,733,
529,464,800,815,359)( 59,216,130,250,417,721,729,563, 72,622,370,578,
767,601,224,499,137,399)( 61,119,373,261,382,452,553,764,659,282,539,
340,413,655,653,301, 87,170)( 62,679,454,389,195,383,631,388,804, 95,
789,742,455,637,522,481,393,200)( 64,583,292,760,648,504)
( 65,307,738,303,480,802,587,274,138,285,791,561,432,313,562,258,572,
416)( 67,568,596,242,737,423,477,796,139,761,365,739,650,421,797,372,
597,215)( 68,118,564,779,346,140, 94,643,141,712,106,602,197,781,735,
71,433,795)( 69,667, 79,363,547,209,565,121,144)( 74,356,289,440,639,
626,430,153,297,405,534, 86,588,466,314,136,202,460)( 78,344, 88,774,
127,813,701,593,608,617,660,398,787,673,487,151,542,226)
( 80,412,353, 93,435,316)( 81,387,171,654,749,180,173,203,805,762,102,
782,117,745,624,123,595,415)( 83,418,390,176,213,408,756,217,605,705,
366,112,668,736,703,449,798,450)( 85,538,807)(114,280,501,498,814,
530,411,300,771,725,135,219,447,308,465,152,579,581)(116,463,395,225,
318,236)(120,500,591,132,244,485,473,146,348,816,656,696,377,724,672,
582,549,194)(126,443,149,482,715,254)(134,212,468,638,265,459,716,
598,251,158,264,166,525,560,730,741,270,336)(157,456,801,685,519,731)
(168,424,632)(175,253,702,818,305,550)(181,193,262,777,479,315,407,
698,323)(206,627,599)(210,743,339,566,381,690)(279,374,784,768,571,
527)(351,589,669), ( 1, 19,544,345,405,247,127,384,107, 58)
( 2,246,668,701,499,534,170,743,344,684)( 3,197,329,491,471, 39, 92,
496, 20,285)( 4,244,159,501,672,443,157, 25,590,785)
( 5,204, 23,801,200, 98,114,263,676,562)( 6,173,450,226,788,603, 15,
683,270,178)( 7,185,800,643, 41,811,151,540,187,147)
( 8,214,615,119,169,349,108,202,751,658)( 9,220,340, 43,602,303,129,
156,426,350)( 10,234,199,277,298,716,140,637,510,455)
( 11,315,184,632,769,818,758,291,150,360)( 12,104,753,427,616,481, 76,
55,568,117)( 13, 73,509,775,355,313,563,729,174,765)( 14,781,593, 90,
463,357,316,448,458,522)( 16,609, 56,327,724, 69,700,654,657,198)
( 17,406,109,518,265,626,580,515,286,441)( 18,416,430,141,148,675,183,
391,679,279)( 21,133,596,269, 26,382,398,611,713,745)
( 22, 91,497,485,385,685,297,227,803,633)( 24,659,470,791,459,207,205,
462,533,380)( 27,487,164,575,755, 77,787,414,245,536)
( 28,521,290,395,606,638,599,280,299, 40)( 29,254,454,468,179,171,240,
511,160,805)( 30,139,392,106,100,589,592,112,256,512)
( 31, 37,528, 53,335,420,704, 72,477,212)( 32,764,262,604,255,770,541,
703,710,461)( 33,671,763,283,747,241,768,623, 48,123)
( 34,649,138,552, 74,278,274,321,516,334)( 35,396,251,816,583)
( 36,457,648,239,662,397,419,363,613,390)( 38,301,364,779, 60,732,665,
149,126,188)( 42,720,237,460,738,219,530,707,645,577)
( 44,347,783,211,437,318,467,482,696,131)( 45,447, 88,619,631,759,323,
374, 86,771)( 46,538,581,375,776,336,782,527,502, 85)
( 47,295,634,667,636,407,547,686,113,293)( 49, 64,570,736,415)
( 50,752,806,715,692,728,361,314,584, 97)( 51,706,379,681,306,194,281,
144,235,431)( 52,639,223,723,479,586,642,438,294,795)
( 54,440,287,693,210,142,717,352,549,238)( 57,165,687,591,494,796,734,
452,378,253)( 59,813,699,808,802,469,820, 89,359,309)
( 61,651,711,201,644,691,488,555,394,542)( 62,408,680,261,222,110,330,
588,338,400)( 63,489,721,434,272,257,412,404,399,421)
( 65,325, 94,529,433,574,373,422,136,664)( 66,116,322,749,705,517,300,
505,628,698)( 67, 82,558,231,365,548,439,259, 78,690)
( 68,740,435,302,650,504,181,585,206,739)( 70,625,386,417,807,551,797,
96,725,674)( 71,366, 75,163,134,514,506,661,553,714)( 79,578,464,624,
565,792,225,213,748,617)( 80,376,610,475,532,368,678,288,243,218)
( 81,428,741,742,573,641,614,358,311,172)( 83,266,814,166,137)
( 84,153,180,189,230,130,456,756,195,319)( 87,730,122,560,594,217,688,
790,666,228)( 93,786,513,224,490,152,630,182,718,571)
( 95,341,102,372,103,647,346,612,229,708)( 99,209,348,423,193,296,556,
557,640,453)(101,731,508,597,292,478,492,635,161,362)
(105,466,670,582,733,158,712,754,128,409)(111,273,268,125,697,425,689,
526,804,473)(115,305,429,442,328)(118,289,351,252,175,567,216,242,
413,777)(120,579,757,503,121,766,267,480,445,767)(124,446,507,411,
607,798,377,543,572,465)(132,773,673,167,436,271,537,760,326,524)
(135,221,595,525,652)(143,476,587,726,535,444,601,317,646,746)
(145,794,750,367,418,500,356,312,381,546)(146,819,190,559,472,727,817,
383,608,554)(154,486,186,474,337,550,744,694,343,605)
(155,653,432,236,598,284,576,203,519,260)(162,196,264,353,310,695,370,
403,780,789)(168,622,669,388,778,493,389,784,722,627)
(176,387,250,354,308,762,275,332,793,774)(177,702,192,258,660,799,520,
276,282,621)(191,307,809,393,402,545,620,539,564,531)
(208,371,401,677,324)(215,569,523,320,735,600,331,339,682,333)
(232,498,812,561,495)(233,655,369,249,629,451,410,424,656,810)
(248,484,761,304,709,737,772,483,566,342)(449,663,719,618,815) ] ],
[ 6, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,409,598, 71,425,221, 17,242,506, 44,631,312)( 2,143,711,540, 24,189,
578,742, 28,496,320,269)( 3,282,188,337,563,173,607,351,194,148, 84,
16)( 4,475,149,325,206,208,633,311,422,675,474,328)( 5,533,376,223,
813, 15,620,618,687,518,697,254)( 6,582,744,606,622,238,630,137,154,
362,245,298)( 7,729, 86,146,117,195,604,570,387,579,745,275)
( 8,199,326,431,391,210,644, 61,643,240,363,322)( 9, 49,480,734,304,
251,654,442,817,781,513,288)( 10,752,532,762,663,232,592,691,294,305,
116,300)( 11,746,235,406,804,164, 92,130,808,715,765,585)
( 12,350,400,794,268,764,497,229,303,629, 51,721)( 13,692, 55,653,690,
444,416,463,714,767,732,402)( 14,440,761,256,233, 48,335,670,248,108,
541,526)( 18,314, 98,466,171,583,740,562,100,564,339,128)
( 19,575,493,114,452,388,659,274,449,255,611,439)( 20,605,573,201, 25,
553,106,632, 21,356,202,385)( 22, 35,795,163, 26,295,458, 53, 27,660,
80,681)( 23,807,361,491)( 29,568,259,674,364,366,118,739,127,214, 68,
698)( 30,369,472,487,595, 41,549,196,378,726,371,390)
( 31,213,209,357,162,722,482,555,652,310,503,609)( 32, 69,516,628,572,
640,349,306,476,524,820,785)( 33,419,608,308,179,273,296,125,542,594,
138,481)( 34,265,818,815,759, 95,228,453,267,791,448, 97)
( 36,601,348,120,717,814,769,398,763,336,234,198)( 37,731, 70,175,461,
547,735,590,239,113,589,577)( 38,465,428,297,197,484,121,354,678,432,
727,184)( 39,381,499,135,750,147,511,212,172,417,561, 65)
( 40,302,368,702,586,748,468,289,485,457,155,105)( 42,790,658,621,144,
73,330,548,551,443, 56,673)( 43,706, 63,459,536,329,215,720,754,483,
405,756)( 45,218,803,216,286,530,806,646,616,437,805,426)
( 46, 83,129,783,470,708,685,168,258,467,645,347)( 47,279,728,600,313,
260,134,788,396,281,332,170)( 50,205,677,713,777,115,401,784,625,619,
316,341)( 52,778,703, 94,613,689,225,753,185, 93,272,521)
( 54,510,718,811,545,399,816,810,285,710,264,809)( 57,393,166,661,672,
324,539,190,176,133,771,556)( 58,758,424,227,554,522,471,603,145,599,
436,780)( 59,262,278,107,382,423,411,151,696,174,676,111)
( 60, 77,588,438,768,126,283,377,515,321,386,181)( 62,527,772, 89, 99,
414)( 64,246,389,649,434,792,725,705,634,686,655, 81)
( 66,403,787,519,509,429,523,252,723,334,719,797)( 67,639,141,525,786,
103,492,695,342,415,186,420)( 72,775,307,512,355,271,782,318,494,253,
520,370)( 74,230,119,167,500, 90,158,450,580,741,132,766)
( 75,379,292,593,346,736,552,222,799,200,495,477)( 76,502,565,418,277,
395,430,102,203,159,394,546)( 78,317,638,244,699,501,280,656,569,680,
544,122)( 79,445,338,276,224,779,249, 85,109,270,755,373)
( 82,819,757,709,488,624,688,397,360,538,597,236)( 87,123,648,142,331,
647,309,665,560,498,464,353)( 88,112,558,730,153,473,187,505,669,700,
662,469)( 91,169,180,410,479,299,701,421,136,796,635,615)
( 96,671,623,435,802,384)(101,156,651,345,587,315,584,743,668,514,641,
694)(104,682,358,380,257,566,666,408,374,657,140,375)
(110,124,433,447,177,567,581,747,412,712,160,517)(131,812,798,490,508,
165,343,610,237,250,446,667)(139,182,664,612)(150,247,220,793,219,
760,178,231,733,454,207,535)(152,627,243,478,372,451,504,407,531,751,
333,287)(157,293,737,738,191,183,261,413,327,359,636,571)
(161,226,774,193,707,383,340,462,211,543,301,323)(192,528,776,365,507,
550,460,679,642,576,537,486)(204,266,800,684,284,602,693,724,529,801,
534,704)(217,427,650,241,319,683)(263,773,591,614,344,456,637,441,
749,596,617,574)(290,404,770,455,489,367,626,352,559,392,716,789)
(291,557), ( 1, 84, 66, 48, 39, 57, 12, 30)( 2,474,604,807,649,276,
658,528)( 3,320,338,221,149,428,608,734)( 4,631,105,640,384,586,
618,622)( 5,116,819,674,198,377,648,809)( 6,513,287,423,422,693,
638,387)( 7,363,551,570,686,156,578,174)( 8,697,238,283,814,553,
598,103)( 9,245,462,371,291,785,588,272)( 10,745,700,115,511,250,
628,475)( 11,388,766,489,765,207,760,637)( 13,806,199,358,247,137,
243,660)( 14,278,442,140,453,655,476,784)( 15,178,118,290,141,715,
122,468)( 16,525,361,666,392,782,375,191)( 17,108,685,188,673,509,
659,346)( 18,616,280,559,260,480,264,167)( 19,731,523,607,524,343,
547,323)( 20,725,672,688,268,701,750,711)( 21, 75)( 22,145,500,269,
443,796,233,596)( 23,535,171,342,708,218,416,151)( 24,282,295,626,
179,505,162,184)( 25,583,470,235,777,347,355,485)( 26,407,206,165,
409,493,699,329)( 27,197,400,452,554,126,304,741)( 28,756,786,520,
117,642,527,379)( 29,231,257,128,665,412,740,566)( 31,555,429,504,
534,561,223,508)( 32,393,724,651,106,748,446,515)( 33,150,227,431,
328,612,102,541)( 34,717,781,364,441,461,395,572)( 35,636,381,316,
230,229,729,556)( 36,798,576,196,362,671,294,549)( 37,312,125,707,
789,134,517,498)( 38,569,643,180,244,590,810,298)( 40,189,657,614,
811,424,193,410)( 41,768,611,277,325,391,426,242)( 42,683,581,526,
406,237,132,799)( 43,130,591,107,163,169,365, 93)( 44,307,632,383,
568,704,709,630)( 45,340,624,732,487,539,314,427)( 46,644,619,478,
730,774,497,677)( 47,120,138,755,546,438,790,248)( 49,664,368,769,
716,600,173,460)( 50,239,794,776,360,519,456,670)( 51,650,738,802,
430,114,152,255)( 52,270,562,788,281,195,345,394)( 53,764,267,763,
746,762,679,758)( 54,550,214,747,166,357,284,647)( 55,373,419,813,
210,681,567,144)( 56,432,457,321,372,148,780,336)( 58,488,308,726,
98,215,203,313)( 59,421,510,483,200,450,486,491)( 60,454,773,240,
522,752,142,110)( 61,440,219,645,733,667,335,792)( 62,482,157,564,
465,399,719,728)( 63,444,662,402,754,623,274,217)( 64,469,414,159,
311,574,507,589)( 65,259,252,545,652,804,820,434)( 67,606,805,154,
603,736,253,225)( 68,712,300,202,584,104,496,579)( 69,351,348,408,
635,380,172,404)( 70,812, 95,439,627,531,415,265)( 71,211,538,695,
605,620,739,136)( 72,158,449,593,615,181,334,718)( 73,521,713,261,
592,472,577,815)( 74,602,530,397,119,542,770,751)( 76,292,705,464,
349,369,213,161)( 77,164,376,512,797,723,436,306)( 78,793,481,682,
696,458, 92,653)( 79,401,333,327,503,634,385,703)( 80,502,743,585,
279,100,669,417)( 81,675,146,121,222,817,324,353)( 82,201,186,209,
490,185,557,232)( 83,778,389,601,473,262,800,123)( 85,359,133,246,
303,266,183,771)( 86,594,176,721,571,296,466,366)( 87,563,543, 99,
767,331,112,690)( 88,226,692,533,187,318,405,609)( 89,687,495,445,
129,288,689,204)( 90,326,753,302,684,310,254,285)( 91, 97,319,350,
341,299,537,447)( 94, 96,558,722,212,633,386,190)(101,271,315,783,
403,113,418,641)(109,208,560,305,494,565,625,617)(111,194,396,258,
661,378,816,772)(124,629,803,694,680,168,390,234)(127,787,801,599,
273,676,646,471)(131,479,639,382,451,286,506,135)(139,330,236,484,
744,182,437,710)(143,610,477,433,749,220,192,339)(147,727,317,411,
540,580,737,289)(153,575)(155,759)(160,702,720,228,573,420,293,301)
(170,344,398,499,205,698,501,492)(175,757,467,356,587,529,370,656)
(177,613)(216,263,582,808,514,516,332,455)(224,297)(241,251,791,663,
354,795,256,518)(249,706,548,552,779,413,678,448)(275,775,459,435,
544,668,818,654)(309,597,621,532,352,374,691,742)(322,367)(337,463)
(425,714)(536,761)(595,735) ] ],
[ 7, 6886425600, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2^2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,309, 59,675,287,681,198,172,699,252,709,436,603,583,308,531, 69,597)
( 2,243,588,810, 5,574,747,378,161,774,126,176,756,270,290,801,549,
717)( 3,140,406,639,782,343,738, 25,230,504,757,606,324,525,281,414,
807,538)( 4, 41,125,423,737,472,558,607,651,729,336,379,135,226,263,
630,146, 60)( 6,440,299)( 7,348,556,576,503,642,405,723,418,468,
635, 63,495,130,326,297,409,248)( 8,622,194,117,188,185,459,506,361,
360,562,170,396,401,272,684,698,445)( 9,686,454,288,629,134,594,303,
529,621, 54,726,180, 84,254, 99,205,352)( 10,742,735,225,395, 57,306,
799, 61,153,249,511,693,812,317,432,262, 98)( 11, 97,313,240,357, 40,
762,704,381,661,523,674,758,400,190,543,602,259)( 12,296,530,404,456,
402,814, 73, 87,507, 77, 55,811,718,142,614,389,488)( 13, 27,211,325,
798,273,795,186,640,222,787,353,779,578, 72,341,750,197)
( 14,627,113,724,582,751,793,328,679, 22,182,816,769,129,359,334, 33,
768)( 15,408, 50,484,573,659,749,482,266,413,719,124,744, 42,660, 23,
181,373)( 16,794,730, 20,204,449,781,741,200,596,421,310,800,818,554,
195,131,563)( 17,680,785,561,105,149,809,601,745,316,410,534,817,438,
805,448,691, 21)( 18,532,492,158,321,631)( 19,427,342,641,708,216,
770,152,540,457,615,486,786,221,612,670,490,108)( 24,219, 68,815,669,
707)( 26,251,232,746,462,460,706,671,514,777,175,644,289,526,705,767,
159,668)( 28,196,137,759,228,580,377,112,455,766, 85,446,475,434,253,
763,617,701)( 29, 58,585,518,212,387)( 30,280,623,165,788,780,422,
516,552,703,803,808,349,439,350,385,748,752)( 31,166,611, 36,590,599,
340,311,425,173,469,276,431,584,732,591,713,115)( 32,533,637,694,725,
260, 93,736,689,636,327,524,509,220,483,485, 78,453)( 34,394,616,265,
527,235,667,645, 45)( 35,420,649,227,338, 82,500,206,247,403, 71,109,
102,136, 66,283,426,499)( 37,710,654,458,491,120,256, 92,376,138,510,
476,676,399,545,245,286,236)( 38,374,168, 44,544,535,277,238,560,128,
474,318,683,269, 70,555,264,429)( 39,268,244,473,652,546)
( 43,478,773,101,121,498,464,548,806,304,241,688,363,267,796,634,470,
213)( 46,650,275,528,760,512,564,122, 47,643,761,496,164,271,678,390,
764,285)( 48,320,292,294,677,609,384,339,467,364,192,147,443,223,572,
174,521,319)( 49,566,163,557,479,193,157,382,179,201,302,682,577,581,
465,722,505,515)( 51,156, 86,355,218,696,541,367,575, 83,739,568,148,
721,160,442,536,187)( 52, 65,461,183,362, 88,638,356,593,451,592,346,
214,435,714,169,571,424)( 53,398,368,608,551,791)( 56,522,380,579,
648,489,116,279, 76,388,261, 96,520,441,447,565,144,229)
( 62,783,666,463,819,657,370,792,477)( 64,369,487,397,513,329,624,162,
210,672,234,416,203,720,106,143,711,559)( 67,700,345,655, 81,110,542,
444,331,242,224,199,123,586,208, 80,610,437)( 74,755,697,305,430,743,
517,771,167,480,605,775,118,820,386,497,733,776)( 75,330,411,604,178,
312,291,626,103,114,366,695,716,133,687,278,293, 89)( 79,715,151,347,
772,139)( 90,790,692,550,307,295,237,784,501,375,104,155,653,813,217,
656,632,589)( 91,132,778,257,100,466)( 94,754,569,258, 95,646,620,
789,595,246,493,145,284,797,365,391,231,255)(107,171,191)
(111,633,567)(119,665,372)(127,335,519,658,184,728,662,734,354,471,
383,419,371,154,598,664,314,625)(141,494,150,300,412,344,673,618,613,
215,209,553,392,712,323,407,301,628)(177,731,332,802,452,233)
(189,274,415,450,358,690)(202,804,250,619,570,337)(207,537,547,351,
322,239,333,428,663)(282,298,433,417,753,393)(315,685,481,702,600,502
)(508,587,539,727,740,647),
( 1,247,788,351,401,166,156,151,359,498, 97,135,723,614,256,119,764,
152,480,729,243,224,712,158)( 2,257,354,711,512,779,709,414,536, 68,
517, 90,691,805,629,295,554,189,682,206,816,755,549,624)
( 3,528,242,162,232,468,474,806,814,375, 42,407,672,109,101,253,724,
744,168, 88,469,557,383, 50)( 4,641,258,819,100,197, 46,699,630,322,
752,609, 18,278,775, 44,207,487, 67,349,107,683,461,396)
( 5,142,739, 6,759,632,261, 45, 69,818,200,669,684,735,565,710, 54,
374,756,417,596,260,625,286)( 7,675, 73,477,706,667,212,435,124,445,
462,229,734,385,492,437,628,331,365,559,696,485,791,438)
( 8, 77,130,216,618,321,523,593,308,145,378,464,721,473,192,564,128,
526,622,326, 37,368, 56,776)( 9,397,511,612,281,529,346,544,483,590,
316,746,697,174,720,634,330,705,220,131,338,620,300,184)
( 10,458,450,522,495,345,605,262,181,227,647,280,659,531, 21,336,352,
36,551,762,553,170,222,503)( 11,313,617,296,717,719,801,337,441,817,
72,159,799,726, 31, 39,439,178,800,595,309,693,129,587)
( 12,297,153,121, 70, 27,586, 15,334,499,754,784,655,323,371,643,324,
201,623,259,482,490,692,656)( 13,303, 48,563,652,272,453,388,785,140,
95,500,466, 47,104,419,771,226,429,545,539,599,317,648)
( 14,283,727,442,484,339,569,395,664,591,315,436,538,163,718,146,668,
245,532,434,673,543,175,635)( 16,263,249,335,138,202,356,366,228,379,
737,187,403,567,199,381,211,239,409, 26,173,393,601, 17)
( 19,318,467,633,275,513,105,399, 76,443,645,282,115,237,768,510, 62,
231, 93,804,361,136,496,616)( 20,420,410,479,525,741,449,731,763,234,
751,103,607,269,102,546,360,653,285,214,686, 87,654,298)
( 22, 98,364,150,540,773,408,813,738,448, 94,708,767,455,560, 40,811,
533,454,186,421,660, 80,241)( 23,661,341,742,568,810,177, 65,606,320,
733,583,289,340, 91,110,141,465,149,176,154,627,268,680)
( 24, 83,405,185,547,812,644,328,433,681,373,208,125,172,769,774,665,
112,344,252, 60,574,471,431)( 25,504,376,372,519,787, 51,491, 41,589,
310,570, 74, 49,716,235, 84, 64, 35,219,193,446,377, 92)
( 28,745,380,530,572,802,117,577,148,820,463,794,527,690,195,580,291,
795,786,238,509,398,766,798)( 29,685,518,111,440,358,191,765)
( 30,753,677,649,305,566,428,108,783,502,520,213,748,183,106, 43,147,
79,357,427,400,695,670,418)( 32,481,118, 61,728,687,370,639,292,233,
515,524,144, 52,770,155,394,772,598,307,579,302,447,203)
( 33,171,602,267,611,333,807,486,209,139,521,725,571,558,562,363,476,
132,116,621,271,423,161,556)( 34,619,279,413,179,472,657,306,703,815,
516,343,240,663,489,573,636,299,758,392,223,651,329,134)
( 38,548,122,581,270,542,676,608,273, 78,732,169,506,246,494,244,604,
288,592,312,348,780,367,715)( 53,194,701,541,411,126,384,730,347,678,
750, 75,638,287,493,747,585,276,157,475,505,205,535,218)
( 55,626,304,167,662,722,143,749,248,594,314, 71,217,576,713,390,160,
637,264,406,444, 82,514,550)( 57,127,561,501,736,700)
( 58,603,327,650,255,537,507,422,508,679, 99,425,251,210, 81,792,740,
761,478,362,389,457,584,319)( 59,382,588,311,236,452,760,714,555,451,
757,404,582,332,198,164,459, 89,188,610,301,387,113,743)
( 63,426,777,133,789,615,284,790,575,230,204,180,552,578,254,674,402,
386,342,689,432,613,294,470)( 66,704,456,698,123,182,250,114,688,497,
646,290,391,412,631,277,221,803,671,782,808,120,702,353)
( 85,534,666,793,694,707,597,293,640,325, 96,658,265,778,196,190,781,
430,416,460,165,415,355,809)( 86,796,488,137,642,266)
(215,350,424,225,369,797)(274,600) ] ],
[ 8, 1721606400, 1, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2)",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,222, 37)( 2,556,725)( 3,457,579)( 4,683,183,398,693,328)
( 5,215,820,790,513,806)( 6,618,676, 53,507,102)( 7,600,818)
( 8,643,541, 25,294,180)( 9,724,276,174,289,428)( 10,247,385)
( 11,483,203,627,303,285)( 12,673,145,691,717,770)( 13,101,425,344,
568,229)( 14,267,660,171,497,157)( 15,353,277)( 16,532,172, 26,224,
343)( 17,362,454,113,477,193)( 18,549,591, 45,426,178)
( 19,412,698,370,640, 91)( 20,585, 31)( 21, 76,441,216,521,352)
( 22,476,409,284,597,726)( 23,489,381,687,371,565)( 24,563,296,670,
100,327)( 27,609,368,313,639, 57)( 28, 72,223,482,447,470)
( 29,347,187,754,159,531)( 30,719,207,661,214,305)( 32,421)
( 33,720,759,810,520,530)( 34,817,260, 73,527,240)( 35,550,131,566,
150,554)( 36,747,544,758,498,815)( 38,448,136)( 39,814,423,630,246,
279)( 40,638,697)( 41,658,715)( 42,298)( 43,452,551,349,721,333)
( 44,367,572,340,306,653)( 46,141,480)( 47,515,435,540,765,198)
( 48,217,146,239,443,128)( 49,771,186,592,292, 83)( 50,753,315,169,
528, 55)( 51,248,710,735,446,202)( 52, 58,718,134,526,351)
( 54,427,557,241,390,571)( 56,364,580,176,782,455)( 59,525,517,637,
614,238)( 60,249,667,205,190,212)( 61,118,792,755,704,739)
( 62,308,677,170,321,167)( 63,644,348)( 64,299,363,408,295,397)
( 65,449,657)( 66,160,329,220,615, 82)( 67,787,582,218,440,716)
( 68, 81,265,636,621,273)( 69, 70,147,439,569,573)( 71,464,651,547,
165,135)( 74,115,365,144,776,445)( 75,320,387,124,335,322)
( 77,650,459, 84,545,269)( 78,616,234,529,490,434)( 79,233,467,456,
373,784)( 80,188,619,504,142,654)( 85,400,471,177,685,816)
( 86,604,243,262,106,475)( 87,674,332,492,702, 89)( 88,584, 93,655,
436,291)( 90,805,402,756,729,137)( 92,379,197)( 94,523,342,514,431,
263)( 95,316,479,282,496,656)( 96,143,164,401,324,752)
( 97,271,552,484,357,361)( 98,537,148,797,252,244)( 99,555,338,181,
773,266)(103,692)(104,732,140,189,281,399)(105,668,632,617,819,499)
(107,793,501)(108,355,162,369,588,158)(109,690,366)(110,251)
(111,603,789,713,130,192)(112,745,382,254,808,748)(114,578,116,336,
682,152)(117,671,331,737,730,751)(119,575,743,154,795,562)
(120,411,648)(121,444,749,599,337,468)(122,803,543,663,646,623)
(123,594,310)(125,155,714,474,712,278)(126,695,491,606,311,624)
(127,533,645,417,413,389)(129,731,512,778,359,728)(132,250,372,509,
199,304)(133,204,761,672,763,723)(138,774,225,629,437,462)
(139,302,703,564,788,798)(149,472,360,766,684,201)(151,245,567,576,
318,350)(153,727,416,466,535,804)(156,458,764,309,418,696)
(161,807,518,393,334,495)(163,708,762,463,519,486)(166,376,701)
(168,796,196,388,780,746)(173,179,626,182,326,323)(175,574,538,620,
593,662)(184,493,561,314,799,230)(185,589,534,461,286,206)
(191,258,438,481,812,659)(194,802,740,500,341,451)(195,394,775,236,
760,689)(200,450)(208,395,590)(209,473,253,542,709,734)
(210,539,738,478,380,679)(211,283,494,358,633,596)(213,605,602)
(219,813,642,502,700,781)(221,587,487,794,694,665)(226,510,404,581,
622,706)(227,410,705)(228,516,536,607,647,583)(231,757,586)
(232,460,419)(235,641,570,733,424,275)(237,767,406)(242,442,688,453,
741,548)(255,485,666,664,264,809)(256,508,317,422,280,669)
(257,675,469,432,374,378)(259,325)(261,707,560,522,346,392)
(268,430,503,415,356,800)(270,274,553,577,628,722)(272,354)
(287,403,631,511,420,611)(288,307,559)(290,742,801,678,506,301)
(293,786,407)(297,772,558)(300,383,319,429,769,465)(312,505,783,744,
345,488)(330,433,680,405,736,384)(339,681,625,377,791,811)
(375,610,524)(386,699)(391,608,768)(414,779,686,785,598,546)
(595,612,777)(601,711,634)(613,649)(635,652,750),
( 1, 64,170,321,697,429,327,271,222)( 2,644,681, 42,551,152,432,555,
372)( 3, 40, 67,291,200,140,569,476,116)( 4,160,796,576,785,190,
547,491,693)( 5,741,149,762,440, 45,602,381,809)( 6,320,428,223,
662,494,107,484,179)( 7,292,735,402,490,711, 57,507, 8)
( 9,459,654,480,527,331,358,345,742)( 10,724, 55,430,311,261,148,246,
786)( 11,561,732,643,420,172,498,474,572)( 12,588, 17,201,215, 80,
393,347,587)( 13,204,479,475,707,583,466, 50,499)( 14,650,496,349,
657,335, 96,421,146)( 15,365,713,202,203,512,356,471, 56)
( 16,664,544,457,778,615, 44,769,592)( 18,500,199,712,801,673,361,468,
589)( 19,812,436, 54,288,317,817,550,670)( 20,177,820,433,776,115,
453,627,519)( 21,593, 63,287,715,470,284,543,338)( 22,789,164, 34,
731,313,683,782,214)( 23,513, 72,145,364,102, 35,163,182)
( 24,123,700,794,613, 98,253,623,506)( 25,443,273,109,118,227,706,444,
509)( 26,674,733,354,119,299,586,635,638)( 27,739,497,616,186,346,
620,788,682)( 28,798,272,669,726,340,535,309,601)( 29,537,159,283,
256,192,360,505,560)( 30, 99,777,508,389,385,387,621,652)
( 31,570,483,744, 91,666, 32,188,609)( 33,158,419,687,351,388,362,818,
736)( 36,248, 46,765,167,391,342,680,690)( 37,622,450,486,763,353,
325,541,183)( 38,779,456,112,198,727,110,633,221)( 39,408,694,344,
591,492,540,590,171)( 41,553,564,530,810,136,628,334,258)
( 43,597,799,113,328,696,626,605,577)( 47,637,783,753,449, 77,487,718,
176)( 48,142,760,132,282,185,750,369, 95)( 49,316,689,225,607,395,
324,819,295)( 51,424,653,404,435,135,277,691,442)( 52, 76,129,108,
477,688,714,472,534)( 53,279,302,376,579,125,266,257,554)
( 58,815,423,624,808,298,143,526,166)( 59,130, 68,162,642,705, 92,131,
174)( 60,406,238,625,610,191, 86,297,363)( 61,268,722,180, 88,566,
578,791,521)( 62,805,520,725,155,679,245,639,332)( 65,255, 97,184,
196,209,614,804,668)( 66,290,301,485,289,452,582, 94,212)
( 69,678,276,584,121,617, 79,451,264)( 70,675,445,386,243,398,120,528,
409)( 71,770,241,703,684,422,816,807,549)( 73,226,218,412,378,207,
427,514,415)( 74,464,418,802,263,371,495,280,205)( 75,401,618,111,
504,803,730,743,719)( 78,784,758,709,138,322,811,580,441)
( 81,458,375,645,529,767,181,531,396)( 82,281,275,648,336,394,417,787,
278)( 83,599,250,403,695,217,781,581,173)( 84,676,745,124,286,414,
756,337,462)( 85, 90,318,604,728,366,195,377,300)( 87,465,659,323,
367,559,562,667,368)( 89,147,663,656,655,542,764,399,128)
( 93,771,242,460,437,168,699,752,247)(100,557,233,813,169,153,400,755,
665)(101,434,723,127,426,350,310,269,383)(103,157,641,759,766,754,
410,729,382)(104,515,606,516,661,262,240,539,187)(105,800,413,219,
619,702,425,685,411)(106,737,151,708,308,156,294,556,285)
(114,117,797,795,407,503,651,296,672)(122,774,461,228,175,134,538,646,
698)(126,558,446,489,237,384,473,524,677)(133,761,603,751,746,792,
563,548,230)(137,197,359,448,525,431,438,631,355)(139,392,611,150,
523,314,608,463,612)(141,229,206,454,220,567,333,326,416)
(144,455,260)(154,270,502,533,720,716,594,536,596)(161,686,532,748,
254,721,598,658,478)(165,517,293,352,397,793,380,481,600)
(178,373,252,357,630,234,595,374,370)(189,341,467)(193,232,717,701,
522,704,773,405,447)(194,768,339,224,775,488,306,235,671)
(208,265,640,274,239,780,692,757,216)(210,632,585,319,493,330,749,738,
315)(211,267,259,231,571,790,636,510,307)(213,568,348,545,501,251,
312,329,546)(236,303,573,806,660,304,747,552,305)(244,574,469,710,
649,740,634,379,814)(249,734,343,511,439,575,390,482,565)
(518,629,647) ] ],
[ 9, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,660,521,243,563,157,337,510,381,446,127, 9,464,525,522,383, 55,780,
165, 92,764,737,720,447,661,760,172,191,329, 25,612,674,592,545,759,
192,804,702,788,774,782,422,282,670,748,412,816, 44,382,406,290, 34,
793,658,233,485,228,468, 74,183,557,147, 31,128,690,449,773,396,616,
309,420,135, 62,776,527,275,120,634,409,666)( 2,570,373,608,569,299,
247,790, 7,621,435, 45, 97,502,335, 24,236,401,812, 43,367, 78,770,
148, 96,808,681, 39,601,121,419, 11,356,403,516,645,784,223,214,258,
672, 84,576,421,425,613,452,292,692,205,328,659,519,448,456,750,541,
775,682,513,429,167,694,305,400,229,215,195,444,636,537,266, 23,493,
765,524,387,585,567,230)( 3,797,726,637,480,267,505,372,209,208,710,
177, 59,723,206,104,667,622,729,303,363,717,168, 4,272,100,197,677,
560,119,496,597,138,145,556,640,436,175,807,346,105, 42,706, 95,683,
16,736,588,820,402,413,213,450,582,313, 36,222,806, 73,241,375,663,
301,374,443, 14,254,297,394,442,221,424, 30, 15,399,801,528,609,171,
550)( 5,393,370, 72,182,339,810,140, 21,796,478,277,404,689,740,176,
160,217,472,530, 41,285,551,154,745,553,817,652,385,166,664,619, 18,
469,642,362,687,548,184,715,697,644,264, 61,578,476,575,336, 37,769,
246,753, 47,461,618,791,805, 65,111, 49,324,112, 12,377,249,343,319,
441,322,323,190,158,178,719,316,649,574,408,173,359)( 6,153,364,150,
665,526, 70,731,123,744, 85,149, 32,781,133,754,137,474,558,626,561,
124,263,122,248,445,139,540,398,418, 89,391,231,676,809, 81,286,235,
568,245,315,405,113,657,232,220,255,327,733,536,344,368,270,738,598,
440,596,611,181,163,314, 91,600,786,811,739,650,604,186, 99,169,515,
678, 71,559,237,703,504,620,615)( 8,518,489,673,707,269,179,696,586,
189,198,475,126,589,771,434,494,260,218,257,779,466, 60,199,752,647,
365,577,415,279,735, 13, 86,467, 50,426,471,799, 26,579)
( 10,310,495,792,321,709,389,386,643,352,701,259,741,451,743,751,564,
572,459,253,261,107,815,280,490,410,566,430,539,623, 83,656, 48,369,
101,498,544,438,756,501,573,289,380,136,789,680,371,196, 53,802,732,
507,641,211,768,161,603,193,103,132,538,330,326,293,307,345,142,304,
46,638,632,755,794,722, 94,376,725,716,188, 27)( 17,203, 20,207,584,
633, 93,473,417,204)( 19,219,251,347, 87,653, 51,631,131,115, 28,342,
590,483,628,308,276,170,714,630,671,571,777,109,724,118,705,691,295,
350, 33,411,730,508,757,288,156,704,180,427,749,291,662,152,298,635,
487,686,607,668,583,240,746,646,225,655,252,465, 29,547,200,457,758,
798,532,340,300,605,698, 66,379,244, 76,580,332,497, 38,542,102,766)
( 22,555,627, 90, 35,708,146,284,353,778,552,351,432,700,684,491,767,
614,384,431, 57,226,388,462,278,565,216,116,747, 63,164,361,675,803,
185,783,349,606,212, 64,358,201,312,533,202,125,727,325,162,693,549,
685,503, 56,492,639,238,250,610,543,274,143,256,390,159,334,500,787,
763,734,416,595,317,814,718,268,813,517,242,602)( 40, 75,546,762,338,
378,800,108,134,210,669,287,187,470,593, 68,110,819, 52,785,302,262,
281,239,562,234,174,414,512,554, 88,320,591,721,265,712,624,713,728,
479,488,477,484,271,482, 58,818,360,395, 54,499,486,481,439,355,366,
151,130,283,155,106,397, 67,679,423,617,318,511,506,294, 77,348,761,
311,520,357,514, 98,594,535)( 69,534,460,529,392,296,273,144,453,599,
79,129,651,531,463,629,587,141,433,695,224,688,795,772,648,117, 80,
454,331,581,194,341,699,458, 82,407,227,333,654,455)(114,625,523,437,
509,428,742,354,306,711),
( 1,151,177, 35,619,305,764, 16,387,738,395,294, 24,641,163,196,787,
219, 30,623,295,326, 3,530)( 2,537,361,193,213,375,321,631, 43,520,
522,229, 54, 23,554,489,695,707,118,709,250,740,394, 52)
( 4,388, 93,413,682,156, 64,365,454,256,145,429, 73,558,202,211,298,
397,248,584,750,582,644,612)( 5,455,752, 9,465,491,188,267,664,763,
344,814,614,116, 38,784,421,422,364,331,446, 49,816,715)
( 6,728,625,445,605,686,578,142,113,548,467,663,385, 92,434, 68,561,
513,609,640,431, 65,577,112)( 7,427,536, 13,102,727,751,268,483,448,
149,746,155,575,679,255,531,380,624,603, 69,529,819,805)
( 8,223,717,698, 21,148,233,300,755,285,579, 44,616,320,480,450,800,
651, 22,743,749,697,289,808)( 10,665,700,494, 57,581,204,630,281,773,
541,790,525,481,304,521,628,555,353,214, 60,401,253,592)
( 11, 32,638,125,572,492,126,310,371,505,733,591,693,767,402, 53,607,
158, 83,152,562,688,565,206)( 12,791,362,201,439,183,706,179,135,383,
472,376,393,330,194, 25,643, 99,109,508,632,518,594,568)
( 14,734,356, 74,396,291,327,469,626,172,232, 19,573,368,312,447,130,
363,593,225,329,713,668,528)( 15, 17,325, 97,409,820,240,272,288,534,
722,737,710,796,303,804,659,140,430,818,192,335,238,696)
( 18,547,671,759, 51,498,670,231,319,502,236,164,355, 63,381,165, 58,
246, 70,242,580,259,191,479)( 20,226,399,703,596,602,597, 27,342,144,
230,405,510,542,583, 59,512,299,595,167,729,560, 76,485)
( 26,296,111,359,559, 81,815, 86,314,576,435,476,636,166,622,108,171,
617,138,251,316,639,604,343)( 28,748,761,153,473,134,287,333,615, 84,
245,563,456,170,741,637,745,389, 72,499,666,798,608, 91)
( 29,182,336,701,426,546,438,414)( 31,556,778,252,552,786,736, 67,806,
718,159,207, 50,799,264,382,486,674,176,519,566,801,812,535)
( 33,391,500,139,452,301, 36,493,311,567,349,692,564,284,524,509,404,
725,810,532,154,132,411,673)( 34,276, 41,257,620,574,358,107,685,656,
114,511,419,553,739,283,234,147,648,269,652,747,122,217)
( 37,507,783,345,770,462,369,731,678,618,128,415,629,606,735,474,243,
487,657,544,526,654,168,766)( 39,184,308,189,105,162,650,297,178,453,
466,216, 71,106,260,115,110,377,667, 77,527,719,634,282)
( 40,141,658,545,180,694,776,417,785,777,220,517,488,274,775, 66,222,
80,127,187,655,290,390,711)( 42, 56,258,286,261,346,680, 62,809,436,
551,457,543, 61,501,627,181,160,683,570,203,424,278,495)
( 45,788,400,352,123,792,681,372,198,129,270,121,789,412, 79,588,205,
482,768,277,133,460,444,262)( 46,186,173,732,384,332,317,146,124,209,
590,587,279,440,306,813,635,774,247,475,516,699,589, 88)
( 47,360,742,275,136,647,351,762,459,687,199,367,293,458,803,244,442,
660,477,338,420,714,373,780)( 48,765,143,724,684,754,484, 85,354,771,
208,646,241,757,227,315,463,610,690,702,506,586,117,807)
( 55,598,370,503,449,339,662,174,649,704, 96,720,239,782,237,744,406,
470,137,190,416,323,386,817)( 75,324,504,794,523,675,793,175)
( 78, 90,131,398,328,348,653,550,490,730,571,769,228,540,461,533,357,
94,712,341,210,432,433,347)( 82,215,772,613,689,280,309,410,464, 87,
221,661, 95,157,441,292,428,263,197,334,539,451,265,515)( 89,322,538)
( 98,795,119,161,378,271,721,676,318,645,379,557,514,104,103,100,195,
468,224,212,781,218,407,760)(101,418,677,802,200,313,307,691,249,705,
478,337,150,185,669,169,708,423,611,425,302,340,266,779)
(120,497,585,273,235,672,374,471,443,811,366,599,437,408,601,254,633,
621,549,716,392,726,600,496)(569,642,723)(753,756,797) ] ],
[ 10, 16726263306581903554085031026720375832576000000000, 1, "2",
[ [ 78, 1 ], [ 741, 1 ] ], 1, "Alt(41)", [ "A", 41, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212,233,255,278,302,327,353,380,408,437,467,498,530,563,597,
632,668,705,743)( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,106,
121,137,154,172,191,211,232,254,277,301,326,352,379,407,436,466,497,
529,562,596,631,667,704,742,781,820)( 6, 10, 15, 21, 28, 36, 45, 55,
66, 78, 91,105,120,136,153,171,190,210,231,253,276,300,325,351,378,
406,435,465,496,528,561,595,630,666,703,741,780,819,782)
( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,209,
230,252,275,299,324,350,377,405,434,464,495,527,560,594,629,665,702,
740,779,818,744,783)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,
151,169,188,208,229,251,274,298,323,349,376,404,433,463,494,526,559,
593,628,664,701,739,778,817,706,745,784)( 18, 25, 33, 42, 52, 63, 75,
88,102,117,133,150,168,187,207,228,250,273,297,322,348,375,403,432,
462,493,525,558,592,627,663,700,738,777,816,669,707,746,785)
( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272,
296,321,347,374,402,431,461,492,524,557,591,626,662,699,737,776,815,
633,670,708,747,786)( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,
205,226,248,271,295,320,346,373,401,430,460,491,523,556,590,625,661,
698,736,775,814,598,634,671,709,748,787)( 39, 49, 60, 72, 85, 99,114,
130,147,165,184,204,225,247,270,294,319,345,372,400,429,459,490,522,
555,589,624,660,697,735,774,813,564,599,635,672,710,749,788)
( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,293,318,344,
371,399,428,458,489,521,554,588,623,659,696,734,773,812,531,565,600,
636,673,711,750,789)( 58, 70, 83, 97,112,128,145,163,182,202,223,245,
268,292,317,343,370,398,427,457,488,520,553,587,622,658,695,733,772,
811,499,532,566,601,637,674,712,751,790)( 69, 82, 96,111,127,144,162,
181,201,222,244,267,291,316,342,369,397,426,456,487,519,552,586,621,
657,694,732,771,810,468,500,533,567,602,638,675,713,752,791)
( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,368,396,425,
455,486,518,551,585,620,656,693,731,770,809,438,469,501,534,568,603,
639,676,714,753,792)( 94,109,125,142,160,179,199,220,242,265,289,314,
340,367,395,424,454,485,517,550,584,619,655,692,730,769,808,409,439,
470,502,535,569,604,640,677,715,754,793)(108,124,141,159,178,198,219,
241,264,288,313,339,366,394,423,453,484,516,549,583,618,654,691,729,
768,807,381,410,440,471,503,536,570,605,641,678,716,755,794)
(123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,515,
548,582,617,653,690,728,767,806,354,382,411,441,472,504,537,571,606,
642,679,717,756,795)(139,157,176,196,217,239,262,286,311,337,364,392,
421,451,482,514,547,581,616,652,689,727,766,805,328,355,383,412,442,
473,505,538,572,607,643,680,718,757,796)(156,175,195,216,238,261,285,
310,336,363,391,420,450,481,513,546,580,615,651,688,726,765,804,303,
329,356,384,413,443,474,506,539,573,608,644,681,719,758,797)
(174,194,215,237,260,284,309,335,362,390,419,449,480,512,545,579,614,
650,687,725,764,803,279,304,330,357,385,414,444,475,507,540,574,609,
645,682,720,759,798)(193,214,236,259,283,308,334,361,389,418,448,479,
511,544,578,613,649,686,724,763,802,256,280,305,331,358,386,415,445,
476,508,541,575,610,646,683,721,760,799)(213,235,258,282,307,333,360,
388,417,447,478,510,543,577,612,648,685,723,762,801,234,257,281,306,
332,359,387,416,446,477,509,542,576,611,647,684,722,761,800),
( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)( 8, 13, 16)( 12, 18, 22)
( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
(122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
(212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352)
(327,354,379)(353,381,407)(380,409,436)(408,438,466)(437,468,497)
(467,499,529)(498,531,562)(530,564,596)(563,598,631)(597,633,667)
(632,669,704)(668,706,742)(705,744,781)(743,782,820) ] ],
[ 11, 33452526613163807108170062053440751665152000000000, 0, "2",
[ [ 78, 1 ], [ 741, 1 ] ], 1, "Sym(41)", [ "A", 41, 1 ],
[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
91,101,111,122,133,145,157,170,183,197,211,226,241,257,273,290,307,
325,343,362,381,401,421)( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44,
51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,198,212,227,
242,258,274,291,308,326,344,363,382,402,422,443,442)( 9, 12, 15, 19,
23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159,
172,185,199,213,228,243,259,275,292,309,327,345,364,383,403,423,444,
464,463,484)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,
114,125,136,148,160,173,186,200,214,229,244,260,276,293,310,328,346,
365,384,404,424,445,465,486,485,505,526)( 25, 30, 35, 41, 47, 54, 61,
69, 77, 86, 95,105,115,126,137,149,161,174,187,201,215,230,245,261,
277,294,311,329,347,366,385,405,425,446,466,487,507,506,527,547,568)
( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,
202,216,231,246,262,278,295,312,330,348,367,386,406,426,447,467,488,
508,529,528,548,569,589,610)( 49, 56, 63, 71, 79, 88, 97,107,117,128,
139,151,163,176,189,203,217,232,247,263,279,296,313,331,349,368,387,
407,427,448,468,489,509,530,550,549,570,590,611,631,652)
( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,248,
264,280,297,314,332,350,369,388,408,428,449,469,490,510,531,551,572,
571,591,612,632,653,673,694)( 81, 90, 99,109,119,130,141,153,165,178,
191,205,219,234,249,265,281,298,315,333,351,370,389,409,429,450,470,
491,511,532,552,573,593,592,613,633,654,674,695,713,730)
(100,110,120,131,142,154,166,179,192,206,220,235,250,266,282,299,316,
334,352,371,390,410,430,451,471,492,512,533,553,574,594,615,614,634,
655,675,696,714,731,746,760)(121,132,143,155,167,180,193,207,221,236,
251,267,283,300,317,335,353,372,391,411,431,452,472,493,513,534,554,
575,595,616,636,635,656,676,697,715,732,747,761,773,784)
(144,156,168,181,194,208,222,237,252,268,284,301,318,336,354,373,392,
412,432,453,473,494,514,535,555,576,596,617,637,658,657,677,698,716,
733,748,762,774,785,794,802)(169,182,195,209,223,238,253,269,285,302,
319,337,355,374,393,413,433,454,474,495,515,536,556,577,597,618,638,
659,679,678,699,717,734,749,763,775,786,795,803,809,814)
(196,210,224,239,254,270,286,303,320,338,356,375,394,414,434,455,475,
496,516,537,557,578,598,619,639,660,680,693,700,718,735,750,764,776,
787,796,804,810,815,818,820)(225,240,255,271,287,304,321,339,357,376,
395,415,435,456,476,497,517,538,558,579,599,620,640,661,681,701,651,
672,692,712,729,745,759,772,783,793,801,808,813,817,819)
(256,272,288,305,322,340,358,377,396,416,436,457,477,498,518,539,559,
580,600,621,641,662,682,702,719,609,630,650,671,691,711,728,744,758,
771,782,792,800,807,812,816)(289,306,323,341,359,378,397,417,437,458,
478,499,519,540,560,581,601,622,642,663,683,703,720,736,567,588,608,
629,649,670,690,710,727,743,757,770,781,791,799,806,811)
(324,342,360,379,398,418,438,459,479,500,520,541,561,582,602,623,643,
664,684,704,721,737,751,525,546,566,587,607,628,648,669,689,709,726,
742,756,769,780,790,798,805)(361,380,399,419,439,460,480,501,521,542,
562,583,603,624,644,665,685,705,722,738,752,765,483,504,524,545,565,
586,606,627,647,668,688,708,725,741,755,768,779,789,797)
(400,420,440,461,481,502,522,543,563,584,604,625,645,666,686,706,723,
739,753,766,777,441,462,482,503,523,544,564,585,605,626,646,667,687,
707,724,740,754,767,778,788), ( 2, 4)( 6, 9)( 12, 16)( 20, 25)
( 30, 36)( 42, 49)( 56, 64)( 72, 81)( 90,100)(110,121)(132,144)
(156,169)(182,196)(210,225)(240,256)(272,289)(306,324)(342,361)
(380,400)(420,441)(421,442)(443,463)(462,483)(464,485)(486,506)
(504,525)(507,528)(529,549)(546,567)(550,571)(572,592)(588,609)
(593,614)(615,635)(630,651)(636,657)(658,678)(672,693)(679,700) ] ],
[ 12, 50759843097600, 1, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2)",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,754,185,122,166,777,224,545,497,197,713,487,252,645,314,518, 18,459,
360,590,702, 16,738,794,400, 60,117,371,183,759,296,588,760,294,776,
92,223,519, 35,597,809,266,694, 22,508,711,381,199,503,746,510,103,
261,818,486,367,282,286,494,736,312,352,235,696,248,382,697,387,440,
207,177,141,750,555,715,692,131,619,232,717,246,605,771,639,179,167,
650,239,278,651,176, 83,586,361,723,682,764,267,684,320,636,170,615,
626,238, 99,332,417,563,169,601,139,272,449,817,422,766,398,438,331,
396,273, 59,589,547,814,728,585,244,451, 38,253,450,412,762,168,775,
137,773,255, 11,520,784,758,657, 24,735,721,480,804,675,287,808,664,
359,726,783,522, 91,215,656,328,354,546,350,441,292,622,617,373,365,
431,423,395,101,145,491,492,625,241,463,384,317,807,411,325,231,351,
731, 65, 89,609, 52,531,121,138,493,533,377,212, 86,308,643,234,162)
( 2,213,254,123,133,678,188,157, 98,819,214,260,653,416,703,748,706,
342,490, 54,554,584,532,740,448,638,277,406,725, 41,515,489,126,346,
582,548, 47,148,105,742,401,152,570,629,250,112,339,201,125,482,733,
275,147,353,524,525,142,583,772,779, 85,640, 87,700,549,130,102,208,
665,358,372,797,662,418,534,701,811,297, 53, 94,298,581,293,355,704,
460,752,357,461,370,666,442,149,810, 5,505,385,135,227,560,305,315,
413,319,790,110, 36,680, 21,186,430,611,397,632, 29,663,456, 61,618,
71,558,564,120,763,347,565,679,687,604,552,569,815,592,415,677,631,
767, 43, 20,341,634,649,637,263,796,481,219,405, 58,257,620,714, 70,
119,226, 97,129,240,757,279,392, 50,424,462,349,633,256, 13,311,688,
309,729,541,567,753,153,568,710,291,528,654,644,603,712,204,658,144,
27,724,173,446,300,785,362,334,559,428,323, 80,222,326, 3,778,330,
368)( 4,225,408,613,792,500,614,576,344,151,722,134,628,641,672,699,
336,379, 30,307,281,471,107,189,526, 12,383,181,343,749,404,660,642,
539,295,496,747,388,414,271,577, 69,786,432,553, 17,288,591,410,556,
247,356, 78,544,100,217,543,236,127, 7,739, 88,268,386,495,251, 68,
57,550,306,345,403,159,600,594,313,333,483,467,668,479,203,608,180,
800,258,578,118,111,435, 79,529,488,607,374,402,630,363,737,206,218,
475,511,587,816,192,391,691,716,394,436, 28,443,324,187,447,245,686,
573,610,366,109, 73,249,566, 6,542,670, 23,802,720,174,671,521,732,
229,318,172, 82,780,437,655, 77,458,813,434,228, 25,745,646, 49,452,
216,676,504, 75,299,390,200,262,698,269, 34,444,270,113,512,498,472,
793,419,285,667, 66, 37,164,756,530,165,198,602,276,751, 46,769,719,
289,290,190,156,789,593,782,211,407,259, 64,661, 63,795,264,537,337,
302,734)( 8,310,191,453,812,445, 95,523,648,473,540,730,340,761,375,
820,369, 56,509, 90,108,517,154,627,673,196,106,693,128, 9,161,612,
788, 14,116,409,429,502,274,184,803,243,705,140,457,284,195,364,695,
51,378,506,132, 96,806,338, 44, 10,596, 74,743,205,303,744,393,741,
301,799,669, 93,652,801,304,561,464,624,178,647,202,579,420,221,572,
376,623,574, 40, 84,193, 81,514,146,335,755, 48,327,709,580,209,681,
15,798,158,155,551,606,770,791,689,469,465,230,182,175,685, 67,283,
124, 39,194,433,595, 32,557,690,781,466,210,474,104,501,136,727,237,
220, 19,683,468, 55,485, 33,421, 45,635,439,476,426,242,329,535,707,
774, 62,768,708, 26,499,160,321,477,598,280,571,575,163, 72,513,454,
765,427,455,718,114,425,233, 76,478,399,484,115, 31,659,348,787,507,
562,322,805,380,599,316,538,516,621, 42,527,536,389,171,265,150,674,
470,143,616), ( 1,645,682,103,141,600,797)( 2,271,272,421,760,280,
29)( 3,809,100,578,351,439,146)( 4,507,234,398,282,794,475)
( 5,617,190,697,595,533,370)( 6,405,295,584,176,585,332)
( 7,410,242,599,506,723,711)( 8,744,357,681,240,142,129)
( 9,479,593,590, 41,178,436)( 10,547,692,558, 67,264,267)
( 11,373,297,189,684,469, 91)( 12,247,316,624,197,139,493)
( 13,186, 55,458,338,322,422)( 14,512,108,222,727,166,804)
( 15,691,196,393,127,123, 65)( 16,725,638,333,482,679, 66)
( 17,775,698,207,388,741,666)( 18, 90,785,427,219,326,765)
( 19,539,553,786,534,511,167)( 20,220,750,107,140,639,780)
( 21,574,768,321,742,138,133)( 22,576, 60,182,269,707,790)
( 23, 64,677,761,549,162,174)( 24, 31,195,314,214,364,517)
( 25,366,713,483, 47,327,286)( 26, 42,276,478,737,365, 95)
( 27,244, 35,160,341,668, 46)( 28,419,616,445,169,281,429)
( 30,293, 51,279,199,463,270)( 32, 85,403,193,805,501, 96)
( 33,206,407,779,224,504,701)( 34,204,401,246,299,313,762)
( 36,125,443,812,551,602,564)( 37,816,111, 58,669,803, 82)
( 38,275, 88, 78,288,431,810)( 39,548,381,754,619,634,350)
( 40,433,285,387,265,537,424)( 43,555,457,459,331,587,434)
( 44,353,305,392,524,371,503)( 45,187,676, 53,721,540,181)
( 48,497,342,318,648,502,130)( 49,529,412,623,573,161,198)
( 50,705,651,601,183,202,137)( 52,121,263,607,251,116,180)
( 54,481,731,124,799,542,777)( 56,793,491,452,256,652,738)
( 57,409,435,641,374,115,128)( 59,423,528,163,508,112,674)
( 61,397,515,514,683,722,657)( 62,259,402,315,526,613,317)
( 63,719,476,389,104,413,612)( 68,194,637,359,335,715,155)
( 69,379,418,201,278,489,769)( 70,498,260,340,425,690,598)
( 71,751,302,349,165,212,451)( 72, 89,416,328,795,621,693)
( 73,654,597,375,492,208,536)( 74,740,408,336,152,530,665)
( 75,716,614,527,258,226,557)( 76,605,673,346,488,663,699)
( 77,567,428,642,778,466,249)( 79,477,200,814,227,355,562)
( 80,367,460,105,117,520,734)( 81,538,791,589,792,170,575)
( 83,604,188,337,192,487,658)( 84,266,781,148,499,606,771)
( 86,710,172,456,500,376,153)( 87,820,756,717,465,426,817)
( 92,213,289,432,385,239,757)( 93,629,210,650,610,229,688)
( 94,382,223,230,626,746,221)( 97,703,211,672,164,755,184)
( 98,505,647,406,773,277,134)( 99,556,361,664,390,444,572)
(101,758,561,471,796,417,523)(102,168,232,145,368,185,245)
(106,132,312,235,480,743,660)(109,519,150,763,485,324,509)
(110,818,544,438,516,151,231)(113,513,559,339,358,767,531)
(114,565,748,680,394,464,545)(118,543,343,811,622,643,273)
(119,635,494,686,783,455,262)(120,386,442,308,287,354,581)
(122,802,518,243,695,238,726)(126,158,323,294,627,473,356)
(131,437,363,157,348,175,798)(135,689,706,241,334,787,217)
(136,782,330,400,411,250,372)(143,447,720,631,732,205,261)
(144,603,656,759,179,177,467)(147,468,566,300,813,362,284)
(149,709,815,415,248,708,446)(154,257,560,383,671,694,636)
(156,806,345,377,696,667,609)(159,396,449,404,747,474,807)
(171,253,225,712,414,550,496)(173,268,729,687,789,580,649)
(191,384,615,700,254,352,303)(203,490,546,655,596,766,237)
(209,632,292,704,344,577,736)(215,453,510,752,718,733,307)
(216,661,461,611,420,306,579)(218,391,395,532,301,552,772)
(228,714,233,586,801,662,310)(236,521,472,450,646,347,329)
(252,659,753,730,702,625,788)(255,291,685,735,448,618,670)
(274,808,764,378,319,522,484)(290,541,644,563,454,678,570)
(296,819,311,582,770,588,535)(298,309,628,620,774,745,569)
(304,583,608,800,640,325,380)(320,571,430,633,653,525,592)
(360,776,568,739,630,594,675)(369,728,486,399,495,462,724)
(440,591,554,749,784,441,470) ] ],
[ 13, 101519686195200, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).2",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,783,184,574, 51,628,444,719,656,730,321,711, 72,301,254,111,639,608,
535,624,136, 81, 79,582,327,174)( 2,480,548,124,517,415,579, 98,357,
292, 69,331,172,392,114,641,332,199,247,139,314,370,745,422,470,637)
( 3,655,556,710, 84,100, 85,813,310,128,700,282,452,163,344,280, 65,
750, 75,436,216,398,598,819,667,498)( 4,766,469,323,493,380,221,717,
191,250, 52, 63,472,712,296,215,570,373,437, 99,239,754,601,119,439,
566)( 5,597,305,736, 77, 7,178,539,510,164,705,685,417,130,708,400,
372,175,143,514,115,277,577,223, 64,779)( 6,631,419,743,108,245,418,
572,787,702,651,586,429,815,602,152,127,290,458,591,252,714,378,161,
320,187)( 8,728, 59,200,176,455,497,674,234,693,760,791,461,484,329,
513,330,495,170,228, 90,227,681,157,375,158)( 9,688,661,529,770, 76,
473, 88,807,606,792,182,780,794,102,433,159,297,193,496,724,272,198,
121, 49,411)( 10,123,431, 14,578,188,499,348,283, 78,374,464, 80,235,
317,776, 68,389,746,453,567,576,751,690,744,524)( 11, 71, 67, 16,527,
206,814, 60,563,299,409, 97,183,796,673,603,727,249,481,638,523,315,
809,564,765, 50)( 12,141,271,716,316, 43,273,642,308,749,185,177, 92,
509,243,258, 61,403, 94,726,616,149,808,117,434, 44)( 13, 19,238,725,
471, 21,701,382,120,654,412, 86,266,557,402,544,619,504,706,772,209,
70,255,376, 74,607)( 15,244,414,259,122,489,491,126,328,784,423,506,
640,585,291,142,298, 28, 53,416,333, 24,812,192,755,240)
( 17,341,715,664,359,226, 22, 57,610,818,465,643,105,196,390,559,478,
281,232,632,785,295,615,511,707,318)( 18,337,732,621,287,207,533,407,
222,306,775,468,420,581,560,268, 27,683,288,543,467, 89, 33,242,475,
425)( 20,224,345,279,167,782,474,194,154,379,397,237, 41)
( 23,820,107,325,525,665,596,625,540,131,536,169,626,190,537,549,800,
368,528,797,211,153,648,629,399,394)( 25,747,810,165,485,555,805,369,
445,672,309,735,231,462,773,738,521,442,405,456,449, 95,769,253, 83,
670)( 26,786,587,180,212, 40,492, 34,594,408, 42,229,208,804,753,150,
269,289,260,538,135, 54,353,554,666,623)( 29,233,270,605,213,561,450,
590,611,189,104,500,771,103,476,197,435,479,649,210, 55,351,635,764,
293,573)( 30,350,441,486,401,109,354,463,349,284,687,217,202,522,313,
703,691,483, 91,803,742,652,413,545,802,508)( 31,520,777,762,741,391,
146,759,171,671,519,668, 37,371,261,562,366,203,132,302,502,168,144,
396,575, 46)( 32,592,307,696,795,763,589,722, 87,347,698,558,355,274,
477,286,609,503,383,304,740,166,682,148,162,204)( 35,634,393,230,532,
761,530,406,737,428,251,236,312,324,377,788,285,599,106,752,551,778,
501,490,723,173)( 36,678,704,627,294,588,659,620,720,482,257,427,512,
718, 38, 47,595,367,225,265,734,680,697,799,275,669)( 39,756,395,179,
363,658, 62,553,793,569,410,580,361,404,515,663,101,694,246,195,334,
677,806,541,758,630)( 45,426,739,676,660,311,326,633,156,801, 58,662,
518,675,147,613,571,219,781,264,110,692,133,134,451,256)
( 48,689,614,488,494,731,342,542,446,552, 66,534,125,300,387,278,364,
617,381,338, 56,220,507,118,584,116)( 73,679,113,214,358,817,339,505,
565,440,459,352,385)( 82,137,322,768,789,343,384,319,186,650,713,447,
421,550,733,303,604,160,646,424,811,356,129,790,709, 96)
( 93,438,335,432,774,336,593,181,360,816,386,526,798,248,454,365,516,
457,767,583,448,622,600,547,653,218)(112,684,340,657,155,138,644,645,
346,721,145,531,241)(140,618,699,362,151,205,276,443,612,748,729,568,
757,695,466,636,263,546,201,686,267,460,388,647,430,487),
( 1,424,122,250,457, 48,221,244,296,567,616,103,582,768,554,180,578,
489, 26,549,226,309,183, 78,519,126)( 2,551, 12,450,608, 54,719, 74,
254,114,349,117,745,130,152,231,815,236, 95,716,634,819,384,619,490,
21)( 3,779,366,263,407,222,786,376,352,504,557,806,610,155,589,766,
289,143, 84,106, 40,104,159,594,674,743)( 4,357,783,631,575,300,776,
83,527, 35,591,378, 36,414, 38,144,713,814,569,751,498,805, 69,323,
461,690)( 5,761, 87, 22,477,207,157,799,402,787,673,699,739,275,592,
663,688,342,644,664, 27,251,722,380,737,470)( 6, 8,643,248,374,486,
11,292,371,552,112,509,128,279,784,173,802,767,620,415,734,448, 50,
410, 20,283)( 7,586,259,108, 19, 86,702,426,303,491,297, 10,692)
( 9, 53,245,367,447, 96,672,177,800,532,765,503,798,288,675,364,302,
598,724,171, 73,305,186, 33,463,670)( 13,469, 76,740, 42,197,794,754,
242,312,466,797,523,225,778,141,344,209,281,820,346,252,548,479,358,
295)( 14,314,280,319,712,353,458,456,538, 59,313, 79, 32,227,167,628,
514,434,618,671,602,148,363,370,472,317)( 15, 28,818,499,587,451,572,
615,290,796,559,550,409,440,147,741,803,773,162,747,518,132,680,816,
164,752)( 16,621,542,277,665,758,437,473,541,495,648,606,282,755,625,
188,576,216,727,120,738,679,460,763,429,482)( 18,508,422,154, 41,389,
678,299,632,683, 67,318,182,639,322,471,224,529,658,553,203,478,264,
237,667,694)( 23,697,109,400,326,140,756,677, 46,131,229, 47,381,204,
234,649,121,210,493,441,651,127,544,156,383, 61)( 24,118, 49,129,311,
365,160,459,474,646,711,668,749,494,181,310,748,449,657,354,178,205,
194, 75,593,386)( 25,361,102, 62,789,145, 37,270, 51,629,217,501,813,
421,732,480,623,261,438,272,215,564,238, 66,436,682)( 29,262, 77, 44,
228,190,654,780,316,335,599,676, 64, 99,360,735,185,624,573, 34,642,
505,401,545,230,524)( 30,442,135,432,637,698,791,656,530,462,406,526,
149,597,306,195,731,113,627,481,720,133,348,373,340,640)
( 31,240,507,274,759,510,488,206,337,666,328,609,681,411,497,208,198,
403,399,256,601,330,604,502,635,562)( 39,146,686,387,521,116,531,285,
655,528,362, 72,652,571,689,395,500,793,260,298,338,329, 91,105,138,
253)( 43,511,558,239,804,293,484,691,372,612,284,419,446,291,687,199,
193,246,696,771,540,744,333,725,695,320)( 45,614,475,187,535,788,382,
685, 70,255, 60,662,325,315,485,517,760,753,192,123,577,392,650,468,
613,708)( 52,388,304,534,515, 85,579,721,525,213,355,276,189, 68, 88,
729,233, 94,444,101,764,324,404,774,369,706)( 55,762,163, 93,543,464,
416,191,561,184,547,636,617,537,465,701,717,359,476, 89,590,781,119,
428,211,454)( 56,418,584,368,580,633,151,746,170,611,397,693,605,427,
709,736,339,718,175,563,334,196,807,516,111,777)( 57,273,417,626,435,
179,684,433,570, 92,332, 81,243,139,176,603,153,212,390,595,169,265,
769,496,522,431)( 58,350, 65,166,772,393,641,645,379,596, 98,443,710,
452, 71,267,730,669,546,533,172,258,287,714,700,286)( 63,408,161,331,
817,661,174,430,512,115,445,423,790,653,556,659,351,728,165,150,801,
811,600,308,812,249)( 80,715,742,583,560,795,565,660,241,220,385,703,
398)( 82,782,125,223,574,555,513,124,136,412,343,356,345,455,775,607,
492,405, 90,200,247,585,266,705,630,137)( 97,520,202,622,770,271,506,
168,723,568,467,321,336)(100,439,487,757,581,707,809,792,413,377,294,
201,235,327,218,425,110,375,257,307,810,268,278,394,214,726)
(107,750,733,566,391,704,785,232,134,483,453,808,269,396,638,647,347,
301,420,341,219,536,142,158,588,539) ] ],
[ 14, 101519686195200, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).2",
[ "L", [ 4, 9 ], 1 ],
[ ( 1, 74,705, 96,354,767,280,562, 93,777,538,645,306,621,208, 55,298,619,
259,172,635,107,112,134, 10,116,594, 73, 90,221,764,424,647,497,133,
474,341,583, 15,460,349,138,361,369, 67,421,244,294,599, 35,271,282,
667,373,676,196, 50,455,781,276,566,313,801,672,656, 91,686,302, 6,
567,550,104,454,728,655,695,156,162, 36,629,528,242,353,356,549, 49,
207,375,256,403,769,245,241,230,295,788,235,588,744,654,805,252,710,
701,146, 21,790,447,732,771,137,786,446,227,608,462,642, 62, 4,584,
20, 29, 51,633,490,204,526,807,224,360,409,419,711,267,367, 11,381,
199,492,461,480,420,540,745,585,659,217,791,437,604,531,108,535,352,
281, 94, 14,465, 30,392,127,435,605,766,130,150,748,398,343,808,674,
218,752,697,469,225,418,309,297,184,651,171,189, 17,571, 13,663,684,
794, 48,255,118,429,117,721,512,151,323,434,431,560, 70,372,167,432,
438,173, 88,637,299,399,125,692,478,542,669,359, 53,423,559,407,270,
222,135,817,481,382,699,180, 72,145,350,679,678,155,385, 77,607,387,
272,296,714,623,457,510,395,816,776,336,819,101,479,648,113,603,473,
518, 42,759,529,195,470,568,544,362,186,262,247,761,551,243, 98, 23,
66,185,737,220,368,611, 65,644,275,650,685,652,278,525,416,798,570,
388, 59,175, 56,246,682,286,707,763,366,743,316,664,165,390,332,768,
83, 46,780,310,334,363,273,459,439,141,320,351,709, 12,197,634,789,
587,157, 39, 79,610,498,304,314,466,413,689,708, 5,673,773,582,251,
736,468,687,760,812,746,148,260,226,660, 27,277,575,520,815,355,509,
586,202,620,624,307,750,339,596,149,775,541,534,713,430,144,414,793,
105,516,628,522,693, 19,159,665,502,192,614,169,110,581, 52,425,203,
326,803,193,205,573, 40,806,565, 18, 60,233, 43, 95,131,704,553,557,
236)( 2,164,284,691,324,124, 85,712,754,327,376,729,452,606,249,517,
64,263, 22,784, 3,613,410,772, 8, 24,406,546,100,706,662,513,739,
344,641,232,285,649,213,389,109,166,291,342,792,364,733,504,554,168,
170,488,725,511, 45,809,210,379,670,216,139,347,401,374,163,579,758,
757,357,315,640,683,527,646,680,716,391,747,176,639,396,348, 84, 54,
254,694,631,539,749,681,787,486, 9,765, 38,698,796,312,453,558,422,
735,194,724,370,600,717,592,397,106,572,626,543,289,563,405,577, 75,
601,774,653, 76,598,658,322,668,811,445,756,770, 71,722,632,365,726,
802,386,797,574,463,503,239,548,301,475,677,292,505,408,433,377,778,
174,818,358,456,279,319,238,731,103,228,274,675,412,499,181,177,597,
119,569,380,147, 37,436,212,636,742, 97,483,132,547,140,533,493,231,
383,696,589,671,666,532,783,451, 41,338,755,545,268,345,257, 33,464,
329,237,330,810, 57,234,325,476,630,290,622,440, 81, 7,661,458,283,
211,161,618, 44,115,718, 86,643,300,190,814,394,121,400,471,482, 87,
450,311, 58,762,555,120,484,182, 25,494,129,111,703,426,261,288, 69,
506,142,123,269, 68,753,800,250,114,625,779,507,384,154,734,515,287,
82,514,308,496,200,201,102,609, 63, 89, 47,638,799,719,782,580,740,
501, 32,690,688,657,536,122,303,523,229,738,126,820, 16,223,702,411,
427,153,188,485,371,158,335,467,393,612,378,602,449, 61,160,723,487,
521,442,206,415, 34,627,248,552,198,143,328,253,404,519, 28,333,321,
178,715,813,340,331,209,305,564,804, 31,136,491,795,240,741,495, 80,
595,402,417,489,293,179,266,537,152,590,615,318,530,576,720,727,730,
337,561,128,444,346,616,443, 26,785,500, 78,214,591,191,556,219,477,
183,472,578,258,617,700,508, 92,215,317,593,265,524,751,428,448,264,
187,441, 99), ( 1,360,551,785,259,666,383,685, 12,660, 65, 97,688,
380,481, 96,567,371,428,418,771,212,572, 50,564,142,150,387,445,479,
396,740,451,625,790,492,710,216,552,453,243,148,650, 7,746,505,523,
596,689,440,313,108,158,535,624,120,663,726,261,391,131, 2,117,389,
539,775,227,473,247,722,180,586,557,167,620,687,518,792,401,782,258,
718, 69,661,691,811,483,292, 25,454, 11,334,339,639,270,670,393,328,
199,653,627,113,276,356,502, 70,485,807,346,175,447, 83,402,134,125,
733,305,651,738,263, 5,820,761,211,179, 37,612,358,797,188,693,553,
525,664,405,697,421,149,494, 80,348,810,599, 48,496, 90,570,265,441,
474,415,404,256,312,709,297,280,302,591,363,780,569,343,819,659,436,
671, 23,141,369,571,368,803, 43,717,501,137, 26,711,758,751,696,351,
698,478,254,750,433,372,332,231, 41, 36,759, 47,547,561,164,109,568,
488,739,655, 21,742,287,695,458,315,414,760,720,300,560,359,641, 30,
764,773,543,192,601,465,352,198,669,469,251,686, 38,517,484, 64,344,
285,802,208,763,107,232, 13,260,135,172,289,587,610,752,725, 53,463,
549,277,529,762,413,769,382,706,521,770,399,705,366,471,370,205,362,
522,157,704,100, 54,407,220,354,124,218,514,130,778, 63,379,606,585,
530, 68, 29,734,609,221,133,665,296,365,816,160,293,588,694,647,590,
349,683,395,566,151,735,504,487,105,228,808, 59,273,626,559,101,203,
19,507,432,562, 74,295,123,768,632,122,817,582,129, 4,144,774,637,
347,403,580,674, 58,528,692,325,262,459, 3,699,541, 15,103,269,314,
703,155,320,805,608,658,584,776,554,682,675)( 6,497,308, 9,250,375,
24,190,215,119,139, 46,423,593,795,787,309,748,268,298,239,634,510,
156,680,498, 75,555,592, 67,714,616,307,605,234,565,673,809,233,745,
95,754,617,138,464,690,729,636,818,235,728, 85, 52,197,238,207,434,
594,194,178, 84,747,800,121,486, 17,679, 62,462,437,538,204,628,244,
394,236,602,321,721, 18,327,420,435,257,623, 42,512,281,168,317,511,
427,716,267,299,376,378,152, 33,678,527,618,342, 82,531,353,398,461,
815,409, 89,475,184,115,744,165,767,217,607,640, 93,493,508, 27,341,
444,416,229,240,438,384, 32,642,550,558,163,410,708,345,230,324,456,
577,786, 92,323,723,153, 91,333,503,340,574,338, 28,789,136,111,731,
430,264, 94,408, 78,646,700, 88,304,385,219,788,724,657,288,326,241,
154,598, 61,350,452,206,245,548,799,114,282,681,542,386,472, 76,506,
532,779,798,147,713,189,381,322,583,426,796,181,633,793,615,712,200,
545,519,316,499,490,431, 72,638,355,191,132,246,500,631,662,676,337,
667, 44,470,248,226,576,741,645,225,301,536,813,777,756,361,509,520,
784,652,755,335, 81,166,556, 60,159,329,600,684,406,450,648, 10,176,
283, 66,266,140,306,146,102,425,417, 57,116,736,524,318,719,412, 34,
374,513,196,278,279,253,449,643,491, 71,448,201,737,118,439,730,237,
766,106, 56,801,613,128,202,364,804, 39,112,732,753,668,630,429,252,
727,629,702,255,143, 73,187, 87,286,579,223,468,331, 22,388,419,772,
614,377,104, 79,575,644,310,467,603,743, 8, 86,214,185,126,581,161,
515,757, 16,794,622,595,357,274, 98,424,457,193, 31,162,540,400, 51,
49)( 14,303,812,621,573,336,537, 35,170,466,290, 40,392,422,224,186,
77,174,390,534,209,242,563,533,546,597,284,173,442,291,294,783,171,
677,213,275,183,272,672,195,589,619,707,222,455,249,110,578,701,127,
635, 99,526,781,271,311,654,765,482,611,169,480,330,210,814,145,791,
446,397,443,489,460, 20,367,649, 45,182, 55,411,715,656,373,749,177,
319,477,806,544,604,516,476) ] ],
[ 15, 101519686195200, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).2",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,253,690,794,243, 19,109,131,261,175,469, 35,127,556,448,116,517,552,
372,561,159,274,464, 6,775,756,505,657, 66,370,554,108,184,456,515,
423,199,591,606,327,338, 40,145,418,269,649,604, 97,238,553,254, 52,
680,137,508,218,105,555,741,360,647, 8,809, 39,471,353,787,746,586,
90,246,522,761,588,393,156,318,672,466, 79)( 2, 81,129,677, 38,124,
696,786,728, 10,219,671,643,792,645,162,347,749,785,742,180,560,120,
339, 95,585,739,557,612,596,694,520,486,101,684, 44,271,532,196,640,
682,437,237,793, 4,405,421,336,452,348,100,284,802,324,765,444,558,
726,706,641,621,301,480,474,551,784,295,711,134,629,375,709,458,387,
648,449,687,650,731, 93)( 3, 20,527,205,624,634,282,305,500, 74,487,
54, 82,169,715,428, 76,725,463,750,380,419,206,688,580,529,472,352,
639, 99,310,609,663,374,367,752,379,440,548,571,350,165,453,256,702,
662,119,400,189,296,279,377,314,431,291,661,193,494,106,413,764, 70,
235,815,488, 5,276,782,674,769,152,656,332, 71,110,401,345,415,743,
239)( 7,346,734,754, 15,356,681,483,718,783,139,736,212,342,155,396,
495,583,566, 62,278,525,233,208,404,210,774,357,738,615,445,250,701,
331,368,628,293,102,172,457,258,576,333,369,414,164,485,602, 49, 53,
411, 25,683, 89,727,723,544, 28,186, 24,513,744,365, 59,542,686,300,
422,669,192,178,355,451,287, 23,147,733,533,252,693)( 9,202,402,249,
646,799,678,148,442,433,523,599,281, 83, 51,328,141, 87,385,259,699,
633,795,524,285,719,630,817, 48, 22, 78,398,225,330,247,491,623,482,
562,151,383,778,454,567,157,267,351,768,416,447, 14,459, 84,160, 57,
598,758,467,354,142,546,730, 47,123,675,308,601, 17,713,209,315,777,
311, 65,714,790,257,441,227,502)( 11,626,118,770,569,366,807,359,420,
592,659,226, 13,132,519,329,302,735, 96,788,563, 50,574,631,608,229,
616,176,386,316,363,705,263,600,426, 58,507,455,222,344,499,531,587,
805, 55, 41,177, 77,126,757,468,660,510,595,236,498,201,712,161,589,
638,299,676,320, 21,358,140,501,215,273,496,538,722,737,535,460,321,
232,341,244)( 12,223, 42,559,791, 68,173,509, 85,231,526,149,294,335,
537, 26,382,288, 91,323,410,326,798,704,264,107,707,388,436,290,720,
378,207,547,665,203,268,819,565,654,191,384,489,266,579, 80,390,490,
72,637,248,303,277, 88,283,514,635,158,435,255,242,710,708,627,361,
67,573,392,174,667,111,748,438,658,776,424,747,304,806,570)
( 16,679,307,136,430,214,427,759,403,655,479,397,228,115,703,461,395,
183,130,275,399,617,197,216,450,755,443,146,521,664,170, 37,767, 56,
407,478,763,721,613,813,394,590,434,545,179,432,251, 86,808,753,780,
154,408,550,697,622,220,325,771, 92,528,698,272,504,685,167,668,539,
803,652,618, 46,607,319,166,391,171,820,439,417)( 18,286,364,234,724,
122,593,584,217,760,309,200, 98,700,376,800, 60, 61,541,572,666,270,
779,113,818,766,582,594,412,230,484,473,103,816,470,673,796,614,143,
670,224,511,716,114,692,812,298,292,729,343,260,204,518,497,610,190,
549, 27,373,689,762, 94,493,477,476, 29,446,245,313, 45, 32,213,636,
362,745,241,481,575,322,568)( 30,642,732,194,516,297, 75,425,772,543,
33,289,406,512,534,371,603,349,280,814, 64,465,150,605,262,334,611,
620,651,168, 34,163,462,182,337,475,625,181, 69,751,121,133,781,381,
506,773,198,125,691,811,135,429,265,810,187,789,317,503,632,211,577,
43,530,619,185,144, 31,597,104,221,306, 63,492, 36,312,804,797,740,
717,536)( 73,564,240,540,128,409,188,578,695,112,581,644,801,153,117,
138,653,340,195,389),
( 1,653,218,284,744,303,510,625,722,699,209,671,140,810,255,636,121,
697,302,295,348,817,535,317,731,186, 59, 73,594,128,175,149,364,413,
48,148,563,816,589,721,719,712,333,103,694,421,151, 79)
( 2,365,261,637,447,724,431,580,146,577,621,177,361,752,500,521,643,
313,210,357,268,282,138,728,504,558,777,230,343, 29,753,711,450,198,
693,442,237, 76, 10,115, 37,729,642,552,682,802,606,804)
( 3,650, 80,787,233,491,334,462,363, 74,596,539,793,411,630,687)
( 4,341,773,362,648,117,659,603,718,801,494,487,759,239, 20,166,273,
708,791,240,626, 9,326,540,205,243,406,696,275,489,543,252, 13,455,
723, 42,340,360,762,325,758,152,184,546,478,471,584,310)
( 5,110,702,746, 55,774,456,502,627,692, 77,386,515,375,320,429,538,
756,424,528, 44,667,460,276,789,111,321, 45,358,311,253,658,420,498,
416,499,622,661,496,160,398,438,331,698,225,612,106, 31)
( 6,592,143,108,380,815,384,399,168,765, 28,461,308,299,537,600,159,
49,741,260,395,632,443,527,590,525,381,281, 8,283,346,259,113,224,
87,808,354,609,790,389,769,453,298,660,223,190,644,136)
( 7,162,290,549,585,761, 54,689,511,764,534,280,526,434, 18,391,465,
423,595,800,740,125,197,418,332,623,400,181,514,367,339,599,749,370,
133,235,516,291,611, 38,174, 30,217,468, 57,356,477,601)
( 11,202,203, 34,328, 94,466,144,707,338,493,373,678,345,199,388,536,
271,664,587,574,234,428,803,550,799,254,483,812,544,640,710,684, 15,
419,548,164,369,452,733,176,680,382,818,472,100,359,646)
( 12,602,368,180,780,805,439,270,120,505,394,655,784,425,467,446)
( 14, 61, 62,256, 93,792,306,573,645,379,781,236,783,316, 39,323)
( 16,714,663,618,766,807,651,437,647,315,767, 60,490,617,503,524,690,
214,305, 69,173,351,806,533,593,638,559,809,191,482,686,629,531,147,
530,633, 70, 89,631,137,717,145,397,112,185,116,286,657)
( 17,726,566,189, 25,307,775,541,355,206,269,385,188, 19,703,350,750,
318,736,569,695, 40,768,430,748,211, 98,676,797,171,739,436,161,119,
518,771,222,102,561,292,407, 23, 36,732,183,262,700,263)
( 21,127,464,402,484,551, 82,412,532,529, 46,454,743,610,278,226,575,
158,776,251, 43,560,738, 33,228,654,522,586,725,448,495,132,607,335,
71,794,319,547,410,788, 26,470,192,178,170,309,215,165)
( 22,463,517,312,770, 90,507,372,486,751,329,150,795,620, 64, 88,118,
257,634,220, 95,229,705, 35,403,169,716,377,141,433,301,414,757, 63,
786,114,349,652, 52,591,296,523,314,435,124,392,509,598)
( 24,139,747,405,605,615,427,588,154,393,681,449,564,754,274,285,669,
730,473,542,597,513, 72,265,422,613,193,579,155,565,204,227,104,562,
677,194, 85,553,479, 47,264,760,745,105,131,288,347,670)
( 27,582,352, 58, 50,258,673,344,248,480,107,727, 92,635,238,231,811,
66,415,568, 97,322,567,715,342,691,814,241,207,196,304,557,294,782,
129,734, 68,432, 67,474,216,404,153,374,672,289,200,616)
( 32,182,604,250,245,709,266,232,444,581,720,327,126,571,401,497)
( 41,679, 83,554,675,219,683,366,156,337,578,440,451,649,656,688,297,
86,417,619,244, 51,396,704,701,556, 78,426,545,668,246,213,277, 56,
713,135,772,641,300,501,475,785,123,506,685, 91,492,572)
( 53,706,208,134, 75, 99,249,122,130,763,441,488,293,247,458,674,485,
242,583,142,666,287,576,167,371,469,376,662,608,570,742,628,221,778,
519,614,445,639,481,508,476,457,408,179,390,459,813,330)( 65,279)
( 81,387,109,163,819,555,796,755,267,187,624,353,101, 84,409,336)
( 96,798,383,512,520,172)(157,272,212,665,201,324,779,737)
(195,378,735) ] ],
[ 16, 203039372390400, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).2^2",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,167,615,793, 63,645,493,198,657, 5,150,218,133,574,129,474,560,768,
396,394,539,730,293, 65,355,308)( 2, 26,540,349,127, 25,736,605,445,
159,102,788,738,754,366,630,618,398,431,186,444,100, 82,106,660,647)
( 3,152,298,653,760,721,662,655,388,556,562,701,520, 70, 57,810, 86,
508,590,670,751,284,651,798,671,641)( 4,809,479,753, 60,316,784,816,
797,602,137, 37,391,287, 36,270,471,779,230,735,160, 77,263,668,136,
238)( 6, 91,551,573,365,696,165,750,202,417,679,438,130,606, 55,465,
314,635,627,229,457,433,257,217,783, 17)( 7,676, 75,818,759,533,570,
322,213,153,324,521,528)( 8, 92,737,171,675,114,499,796,195,224,600,
814, 48,817,367,451,578,199,772,716,464,728,756,748, 96,722)
( 9,585,402,639,628,582,806,264,192,595,621,710,266,251,583,291,421,
515,725,687, 16,435, 83,377,763, 38)( 10,405,205,154,210,803,359,599,
780,805,564,140,792,429,463,683,268,485,401,684,182,580, 22,741,432,
156)( 11,112,473,141,505,565,363,666,544,731,484,309,271,496,418,351,
42,746,184,121,327,571, 54,423, 81,108)( 12,767,790,776,285,177,500,
692,191,370,420,579, 19,379, 29,699,774, 66,382,619,325,307,608,331,
757,161)( 13,124,259,766, 59,212,434,422,531,468,258,122, 80,386,475,
395,458,412,482,227, 95,532,677,390,509,795)( 14,223,650,414,572, 49,
372,346,529,234, 73,295,601,541,204,261,387,323,589,769,709,567,288,
362,170,326)( 15,292,256,147,719,512,492,312,354,481,559,771,241,648,
667,691,552,244,437,389,546,536, 33,467,616,110)( 18,527,624,107,424,
654,384, 39,118,216,369,441,277,535,801,802,613,554,623,151,518,744,
222,658,486,592)( 20,267,563, 68,410,317,455,703,145,617,765,632,452,
135,815, 32,120,786,134,411, 40,543,693,206,332,250)( 21,336,228,352,
646,371, 43,305,555,178,799,510,350,672,164,732,393,356,743,188,235,
53, 28,523,226,116)( 23,720, 51,448,450,337,399,304,800,123, 58,663,
162,176, 98,415,174, 94,718, 45,497,568,148,698,189,538)
( 24,491,193,430,597,514, 76,274,637,808,594,625,714,376,126,275,427,
404,549,196,775,397,673,183,591,558)( 27,272,665,380,664,306,678, 52,
609,166,522,425,339,245,289,214,487,119,680,220,172,299,208,811,440,
727)( 30,717,506,233,449,524,456,104,470,611,587,745,128,347,702, 85,
749,598,622,812,534,276,146,383,334,246)( 31,674,319,345,633, 84,603,
547,265, 64,115,406,681)( 34,273,575,686, 35, 99,236,697,436,155,610,
501,642,301,569,773,211,459,526, 46,807,221,638,190,690,187)
( 41,253,777,381,364,443,373,240,180,604,643,247,596, 90,239,294,530,
169,819,705,462,724,105,342,361,785)( 44,739,428,157,577,620,290,231,
700,139,734,478,740,483,113, 47,661,254,764, 67,778,143,507,242,109,
281)( 50,502,315,262,138,634,723,711,503,561,498, 71,255,282,340,490,
207,248,584,469,820,669,626,297, 72, 61)( 56,525,586,516,726,747,279,
607,742,197,341,400,283,550,280,243,252,614,360,659,215,513,460,689,
125, 62)( 69,649,131,794,442,181,494,789,480,588,149,416,260,704,629,
489,296, 93,408,695,302,144,581,688, 87,542)( 74,163,713,330,755,185,
477,344,179,631,201,504,787,636,729,392,225,813,593,132,173,278,300,
712,335,715)( 78,343,310,781,761,537,303,338,706,758,782,286,548,488,
203,612,511,453,762,194,328,454,353,791, 89,219)( 79,374,804,652,142,
358,378,461,232,111,466,329,375)( 88,640,545,407,419,318,313,656,446,
357,733,175,707,348,158,752,472,168,682, 97,557,368,685,426,566,117)
(101,209,708,517,644,403,103,311,476,249,237,694,385,553,519,269,320,
200,413,409,576,495,333,770,321,447),
( 1,169,371, 92,659,514,808,492,129,717)( 2,811, 17,424,551,267,321,
5,610,599)( 3,393,578,199,251, 22,705,816,122,790)
( 4,316,161, 97,619,368,343, 23,341,349)( 6,785,714,529,466,148, 94,
299,784,123)( 7,647, 54,218,265,749,627,104,431,725)
( 8,304,522,351,216,277,576, 33, 49,506)( 9, 45,359,401,147,566,768,
609,324, 81)( 10,326,302,703,200,747,446, 19,403,335)
( 11,597,651,704,416,140,574,111,293,815)( 12,252,805,448,780,436,278,
561,643,317)( 13,261,819,449,632,209,395,786,634,325)
( 14,577,397,156,542,296, 47,166,139,621)( 15,417,430, 53,723,626,764,
113,352,253)( 16,248,353,461, 96,263,638,256,732,625)
( 18,374,766, 70,190,817,615,115,233,229)( 20,665,311,667,454,772,795,
44,303,504)( 21,192,226,740,739,283,752,779,743, 40)( 24,136,483,684,
429,273,383,422,729,163)( 25,249,394,755,560,184,274,545, 83,603)
( 26,614,788,546,806,130,387, 35,354,458)( 27, 38,491,803,605,150,105,
563,711, 98)( 28,771,382,695,584,535, 84,286,418,178)
( 29,135,239,809,724,327,280,694,334,508)( 30,519,203,194,121,305,744,
534, 72,215)( 31,124,345,683,404,660,559,583,290,763)
( 32,301,160,309,242,358, 90,243, 87, 69)( 34,706,623,322,228,600,213,
758,364, 63)( 36, 74, 67,182,475,686,783,476,240,818)
( 37,332,502,762,132,478,741,433,420,589)( 39,537,719,727,164,699,392,
284,796, 95)( 41,445,412,231, 82,588,197,108,657,536)
( 42,193,472,720,746,423,291,356, 91, 77)( 43,775,337,110,645,712,750,
347,120,306)( 46,573,515,593,644,238,223,616, 73,678)
( 48,137,331,666,385,807,173,171,367, 66)( 50,528,641,247,481,715,362,
733,530,201)( 51,384,222,407,518,245,411,596,556,554)
( 52,350,581,452,174,820,376,369,630,721)( 55,179,103,329,648,266,538,
344,338,676)( 56,798,459,672, 80,437,264,646,511,777)
( 57,773,127,355,170,220,232,800, 89,624)( 58,451,473,463,282,527,268,
372,759,629)( 59,314,415,117,797,285,555, 65,569,219)
( 60,119,689,543,681,754,477,427,318,618)( 61,709,658,346,737,260,592,
413,700,246)( 62,443,312,761,507,391,692,186,722,465)
( 64,441,421,400,664,444,237,493,241,669)( 68,357,470,767,523,165,389,
562,408,162)( 71,751,188,133,612,650,550,167,406,547)
( 75,679,157,633,217,690,814,177,205,636)( 76,396,271,804,570,509,276,
298,207,370)( 78,378,793,365,126,799,654,640,598,172)
( 79,586,591,571,663,152, 93,541,655,435)( 85,495,757,310,637,244,101,
227,553,698)( 86,208,760,778,453,587,734,613,802,151)
( 88,549,513,544,380,294,718,484,426,402)( 99,631,540,319,521,781,488,
107,333,287)(100,377,531,487,594,696,279,258,270,439)
(102,428,680,234,620,498,736,480,731,363)(106,405,272,479,702,125,307,
769,590,512)(109,742,235,813,520,269,366,497,792,557)
(112,300,567,716,682,339,685,691,738,206)(114,288,379,812,674,494,275,
262,670,183)(116,693,149,214,185,187,490,756,373,662)
(118,141,606,289,770,595,801,617,564,505)(128,176,517,323,440,673,204,
611,774,134)(131,728,320,707,661,499,144,155,791,558)
(138,471,414,297,425,688,328,158,175,191)(142,745,548,360,292,608,180,
639,565,388)(143,342,159,221,501,649,230,224,330,398)
(145,295,381,442,409,211,713,500,210,434)(146,447,474,730,642,254,579,
361,485,526)(153,198,697,340,202,604,748,510,386,462)
(154,348,503,524,652,533,789,410,450,580)(168,468,315,259,675,419,765,
582,622,464)(181,516,496,196,390,469,532,189,572,281)
(195,552,467,602,677,607,455,457,257,250)(212,708,438,710,236,810,794,
653,336,782)(225,776,687,656,460,575,525,399,255,489)
(308,671,668,601,539,726,482,701,628,313)(375,753,432,635,456,735,568,
486,787,585) ] ],
[ 17, 203039372390400, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).4",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,768,798, 69,108,258,664,551,667,135,519,242,413,749,731,613,306,273,
82, 31,495,112, 19, 51,356, 41,174, 5,652,789,100,478,435,361,232,
462,203,195,323,625,525,170,382,317,366,213,587, 32,268,140,593,388,
10,310,642,426, 29, 42,624,802,420,164,568,527,805,448,184,769, 15,
638,445,369,784,417, 61,434,371,249,532,820,562,621,320,229,537,811,
56,252,407,522,406)( 2,449, 67,588, 33,437,358,275,400,450,159,202,
166,338,118,303,429,607,251,158,637,133, 59,456,757,439, 26,139,771,
494,776,515, 94,711,691,775,167,246,758,560,695,538,341,233,467,710,
799,363,578,283,144,474,499,335,408,685,267,514,609,632,649,145,714,
679,331,554,722,781,124,612,754, 46,765, 39,803,418,666,294, 71,465,
493,101,386,737, 37,355,523,706,665,290,745)( 3,469,262,190, 13,368,
289,471,121,585,800,271,381,147,558,734,689,134,791,570,214,660,436,
414,473,460,477,766, 53,738,405,395,322,602,347,697,547, 38,431,476,
502,640,253,438, 40,305,199, 43,415,508,516,334,604,255,639,324,235,
648,676,234,814,764,733,127,187,760,717, 79,151,809,790,298,680, 18,
177,787,424,122,113,238,727,270,810,397,683,724,524,168,566,497,594)
( 4,390,590,575,472,755,103, 48,785,498,531,488,370,651,364,773,428,
509,148, 9, 58,452, 64,236, 62,816, 95,687, 23,169,421,529, 68,543,
591, 36, 12,432, 49,694,261,348,176,193,670,141,380,250,807,307,486,
463,340,109,490,756,739,247,138,620,160,573,647,720,295, 66,684, 44,
409,410,675,761,541, 50,454,244,443,130,207,559,106,288,611,707,287,
393,693,484,674,351, 30)( 6,198,579,367,556,672,102, 90,353, 84,210,
440,444,528,389,441,518, 78, 34,191,584,201,350,698,713,226,690,318,
772,349, 89,496,120,116, 17,561,129,299,182,688, 52,542,197,131,396,
423, 93,149,387,804,179,453,274, 80,329,762,480,656,721, 76,373,280,
156,304,243,297,511,178,384, 77,237,741,117,719,383,451,622,218,433,
362,526, 81,485,608,747,767,563,782,470,504,614)( 7,265, 16,700,344,
779,815,793,806,729,540,671, 14,293, 86,277,301,746,459,777,633,662,
257,215,487,574, 47,119,770,712,646,189,312,752, 20, 73,601,703,774,
447,792,778,635,319,507,797,479,715,284,643,264,686,430,146,569, 63,
365,492,272,279,143,227,630, 97,481,185,276,206, 98,725,583,555, 22,
83,605,419,629,813,326,808,482,220,266,619,150,422,759,325,655, 35,
553)( 8,595,345,801,315,748,535,398,546,565,375,455,521,557,192,161,
105,539,180,132,260,327,346,241,572,641,567,208,128,623,581,186,636,
136,598,464,533,483, 99, 96, 21, 74,339,503,111,753,751,212,743,217,
517,512,744,634,219,379, 85,650,205,225,374,223,796,302, 28,142,343,
123,172,239,742,582,606,513,580,692,216,468,506, 24,175,544,552,416,
548,228,730, 75,230,263,709)( 11,780,732,152,392,586,183,209,654,401,
259,571,627, 72,399,442,394,391,412,728,708,153,248,681,550,427, 25,
110,404,154, 27,458,285, 57, 91,337,240,795,269,204,196,300,114,669,
411, 55,599,616,615,657,577,254,718,115,403,750,682,457,658,200,286,
530,505,819, 88,461,336,673,603,372,589,644,173,385, 70,783,104,600,
45,817,188,181,489,281,702,628,157,402,466,332, 92)( 54,659,726,171,
352,705,291,296,282,137,735,812,165,231,354,617,501,308,314,786,330,
699, 65,357,716,360,534,155,475,736,763,125,328,377,740,631,677,500,
311,292,245,256,668,321,425,107,536,610,162,549,545,309,704,163,678,
597,592, 87,564,618,788,378,794,661,491,520,313,723,222,576,126,376,
278,333,342, 60,194,510,316,224,446,359,701,626,221,645,653,818,696,
663,211), ( 1,339, 28,690,254,691,775,809,327,732,234,584, 88,700,
233,197,171, 42, 45,726, 68,131,173,311,165,385,421,358,510,645,523,
352,447,529,177,612,713,546,159, 44,126,755,106,138,420,495,565,649,
620,671,580,517, 66,473, 46,124,349,681,640,817,463, 43,194,623,575,
41, 80,497,665,538,672,295,599,394,143,238,276,325,371,701,119,592,
381,615,601,144,211,290,120,693,710,554, 98,668,395,552,618,409,774,
550,214,266,582,639,259,248,308,294,485,814,402, 57,798, 40,272,819,
274,680,586, 67,296,583,161,630, 74, 55,355,499,533,305,414,190, 87,
89, 27, 72,770,796,209,594,175,702,711, 86, 25,722, 34,753, 7,429,
396, 21,112,815,662,322,181,154,423,288,245,319,101,139,768,799,496,
157,200,762,621, 39,317,333,338,328,331,115,390,104,462,260,527, 5,
227,757,744,494,574,699,807,780,678,247,756,535,659,490,242,689,812,
366,128,792,145,271,148,664,568, 4,125,246,156,505,252, 22,110,818,
393,534,663,467, 36,634,576,709,412,434,511,224, 51, 84,340,231,255,
508,778,686,220,718,257,386, 26,676,470,724,687,767,682,746,579,588,
589,219, 82,740,553, 8,432,547,203,210,684,436,763,804,368,129,310,
174,450,199, 52, 58,629,184,323,282,285,509,324,335,453,134, 73,648,
667,739, 69, 35,100,213,375, 13,261,330,373,694, 62,628,810,714,343,
512,459,424,487,677,132,591, 77,113,789,427,647,192,388,816,401,652,
715,240,631,695,734,321,334,705,188,357,337,452, 94,559,281,354,622,
280,735,585,253,229, 33,781,123,595,301,389,406,297,474,461,195,704,
191,551,379,692,380,498, 14,794,605,481,616,114,603,437,439,469,541,
147,198,685, 18,803,737, 60,504,805,707,776,442,464,741,168,526,392,
78,146,273,384,801,561,228, 56,764, 29,563,440,706,806,289, 79,265,
736,785,465, 95,369,708,460, 71,632,747,102,217, 76,556,456,215,522,
353,312,658, 92, 16,743,520,359,164,176,723,683,186,643,716,111, 61,
560, 96,491,152,397,407,223,304,566,430,103,287,791, 11,549,571,518,
472,387,802,598,779,754,116, 10,130,299,137,122,216,484,540,182,610,
303,362,180, 85,336,284, 24,136,513,655,660,391,376,542,167,727,170,
418,646,573,196,206,637,674,162,417,278,153,486,183,202,644,382,539,
241,244,431,263, 9,365,172,524,155,661,570,166,208,316,653,507,562,
356,291,318,697,410,307,797,751,350,525,169, 15, 91,286, 50,449,400,
627,455,478,258,313,787,444,503,543,445,344,293,545,731,342,500,212,
179, 81,207,587,249,426,604,669,521,502,443,544,309,567,557,399, 37,
314,468,651,348,415, 99,536,279,654, 6,237,688,638,250,370,283,614,
302,611,306,118,624,454,650,666,372,425,657,232,777, 47,441,347,602,
109,428,160,730,108,413,117,482, 38, 48,218,225,185, 63,404,793,446,
53,256,236,364,332,569, 93,656,345,408,262,514,742,729,750,149,721,
133,377,613,204,360,374,675,419,435,558,127,759,367,363,593,607,619,
275,221,712,315, 70,784,773,270,189,230,771,222, 3,758,537,820,725,
458,178,760,719,720,813,738,411,226,733,268,239, 17,398,808,633,572,
811,769, 65,378,243,151,626,564,800,403,205,438,606,765,506,608,264,
471,670, 31,141,150,466,448,457, 54,790,329,531,493,422,641,532,745)
( 2,752,488, 97,609, 23,581,298, 32,528,235,142,163,267,696, 75,642,
519,292,158,492,107,476,501,596,105,717,187,475,577,600,597,433,795,
625,766,341,555, 30,516,748,383, 83,515,788, 49,679,728,548, 90,326,
193,703,479,405,636,761,673, 59,749, 12,477,483,135,277,489,578,251,
617,201,786,451, 64,590,346,772,782,783,140,351, 20,530,416,300,121,
19,320,698,269,361,480) ] ],
[ 18, 203039372390400, 0, "2", [ [ 819, 1 ] ], 2, "PSL(4, 3^2).2^2",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,234,384,434,339,145,506,703, 83, 59,756,657,314,309,442,624,227,184,
26,139,820,200, 55,716,293, 40,760,809,510,469,336,676,196,303,797,
341, 99,601,118,590,150, 89,734,233,803,377,527,199,681,132,428,794,
508,529,688,550,256,630,187,492,400,561,102,751,795,721,485,635,361,
661,562,633,693,559,218,146,484,178,617, 77,626,684,204,479,709,284,
205,375,491,418,421,290,483,398,310,648,651,691,415,112,422,528,731,
389,239,799,283,272,780,383,614,276,433,650,806,456, 52, 12,708,219,
158,206,745,277,106,580,765,279,802,402,208,399,212, 78,321,471,354,
587,172,144,430,270,713,183,254,170,768,138,216,148,334,308,192,670,
530,273, 48,343,316,815,526,411,248,155,305,130,555,133,499,737,494,
588,267,740, 4,291,771, 38, 23,619,750,589,197,715,778,595,390,416,
804,335, 15, 71,240,342,761,382,584,231,149,198, 31, 20,408,467,188,
50,563,403,307,747,369,533,710,489,429, 81,517,223,478,568,413,462,
726, 45,570,706,162,182,274,432,788,606,235,686,500,572,409, 22,543,
73,268,669,202,604,545,583,356,501,477,767,539,704,666,758,769,549,
603,811,222,509, 69,123,201,154,282,644,140,214,766,632,142,482, 33,
636,810,464,507,337,396,401,744, 65,365,554,392,812, 35,447,696,727,
593,168,295,642,161,345,497,755,346,252,251,423,770, 53,474,156,776,
302,757,638,320,266,701,631,625,324,177,645,702,232,523,490,323,658,
775,371,128,591,521,538, 19,151,461, 88,764,749,195, 3,108,137,735,
127,505,586, 87,597,228, 74,122,120,255,629,627,437,789,275, 25,683,
135, 93,460,407,557,368)( 2,547, 67,349,653, 98,805,741,759,796,576,
24,685,578,564,779,502,281,541,287,265,312,374,707,344,211,243, 80,
157,717,294,417, 34,662, 46,113, 76,100,652, 36,381,278,380,159, 51,
513, 6,217,808,394,641,453, 75,143,147,671,515, 60, 16, 85,690,813,
61, 41,340, 44,134,104,575,210,807,742,393,637,616,790,612,350,327,
705,329, 10,546, 18,189,719,743,114,762,209,537,129,585,534,311,404,
58,569,410,424,326,236,171,220,264,446,714,621,524,634,548,646, 43,
296,194,493,643,577, 94,463,391,774,440, 66,436,358,378,288,667,242,
11,213,694,594,280,385,317,397,677,723,373, 86,598,355,814,420,299,
567,225,819,322,465,615,763,800,496,292,431,574,792,257,544,226,241,
207,718,784,388,313,782,611, 91,357, 82,438,481,107,679, 7,733,752,
451,712,119,176,729,414,331,174, 49,582,185, 64,238,105, 9,663,746,
441,164,504,495,739, 79,419,720,566,801,352, 56,169,333,165,628,754,
117,480, 63,581,773,816,263,535,560,516,163, 14,476,607,126, 84,193,
659,503,672,689,511,224,444,426,486,353,166,573,700,181, 95,260,600,
190,512,798, 57,540,427,110,656,269,457,459,215,579,724,445,660,655,
237,109,191,664,372,229,364,787,571, 30,180,330,179,136,439,551,470,
42,738, 13, 29,640,338,376,173,458,125,450,141, 54, 8,596,608,682,
448,520,230,698,623,435,781,525,452,678,167,488,647,772, 97,472,261,
675, 27,605,674,786, 28,736, 32,332,304,454,722,455,405, 72,532,319,
115,785,359,699,386,362, 17,297,475,728,514,124,425,103,599,692,817,
668,363,315,301,618,152, 92,328,818,306,244,793,101)( 5,487,250,412,
259,116,613,552,468,498,777,262,351,318,609, 39,367,711,654,379, 47,
725,258,247,602,245,300,536,473,131,649,553,406, 90,610,565,639,466,
518,622, 96,673,366,732,298,271,680,246,249, 70,522,286,695, 21,449,
37,348,519,221,325,175,783,289,687,753,791,121,748,620,253,186,443,
68,203,395,387,153,556,730,592,370,531,665,360,285,558,347,697,111,
542, 62), ( 1,605,701,541,310,471,311,188,170,284, 26, 81,411,465,
321,192,812,416,713,451,539,208,314, 25,224,566,759,626,352,139,153,
232,732,392,617,341, 20,360, 9,565,615,798,550,313,280,810,309,578,
449,189,672,650,488,243, 80,271,707, 69,174,763,443,640,739,339, 83,
239,132,531,751,538,582,624,742,495,611, 8,183,504,109,671)
( 2,646,816,136,633,592,212,760,248,286, 33,305,162,483,240,587,259,
509,526,795,534,596,202, 30,329,584,716,457,470,104,285,521,138,632,
340,169,209,477,711,548, 28,165,740,283,142,267,583,817,397,383,112,
766,758,649,585,193,306,261,180,187,230, 91,644,350,378,455,166,555,
500,685,728,102,556,508,784,789,277,603, 87,298)( 3, 73, 63,511,636,
156, 34,769,639,673,661,560,201,546,785,379,762, 12,676,366,147,563,
357, 85,215,588,757, 29,697,391,456,434,568, 84,589,663,291,651,576,
403,657,371,152,287,686,324,326,594,203,490,355,679,635,771,432,619,
809,436,802, 22, 89,417,323,487,781,103, 82,745,536,815,475,499,557,
241,595,786,281, 88,122,213)( 4,625,279,693,622,395,529,450,688,726,
64,601,255,787, 7,735,405, 18,598,722,717, 49, 43,303,344,272,398,
72,249,493,123,675,669,586,176,562,372, 38, 27,542,554,480,468,664,
559,808,567,244, 53,574,558,431,182,145,571,705,124,561,524,743,196,
577,430,175, 19,228,127,168,342,453,327,813,199,647,242,793,606,602,
608,377)( 5,317,609,678,394, 15,628, 56,748,734,419,714,300,512,473,
258, 54,525,131,105,252,545,262,467,627,334,315,437, 74,527, 37,428,
257,320,806,547,171,356,733,478,575,783,387,210,718,218,513,247,404,
307,780,111,460,737,682,264, 90,591,704,715,464,614,412,295,367,700,
680,400,702,674,712,294,708,496,532,788, 51,100,205,746)
( 6,157,805,779,753,489,620,796,402,777,363,256,161,268,724,217,482,
194,141, 65,638,155,725,610,694,128,362,481,667,528,184,665,440,118,
96,502,373,219,375,110,135,376,501,590,368,820,794, 60,420,666,811,
32,393,409,426,444,177, 10,235,523,143,767,570,765,137,518,684,549,
497,236,361,270,658,322,770, 67,290,446,510,818)( 11,581,692,569,474,
318,238,278,799,768,681,275,396,108,621,119,365, 13,756,670,522,744,
494,282,126,659, 78,130,593,730,204,572,776,333,197,642, 71,173, 55,
445,520,223,380,186,752,266,519,537,616,754,792,552,791,629,296,274,
62,389,254,140,573, 31,600,706,337,731,699,172,804,302,154,316,750,
782,479,668, 98,655,662,803)( 14,251,503,158, 92,484,288,422,634, 76,
775,150,738,814,564,774,773, 35,485,121,328,543,727,382,819,613, 99,
160,289,695,253, 75, 77,747,381,689,195,720,425,399,579,469,703,227,
623, 16,250,179,790,211,146,312,114,452,164,149,206,486,370,113,599,
222,301,462,438, 79,683,331,515,630,429,185,448, 39,698,332,151,580,
492,517)( 17,325,263,260,691,410,125,721,800,129,106,797,133,652,435,
597,348, 70,755,386,304,607, 41,631, 48,353, 45,778, 94,221,181,505,
491,385,643,233,507,178,225,220, 93,749,351,764,269,167,710,516,347,
388,374,476,654,345, 44,540,637,364, 40,369,433,424,677,214,359, 86,
641,418,459,276, 42,723,761,447,645,506,653, 57,338,245)
( 21,427,292,729,551,115,463,618,198,246,163, 97,231, 36,719,144,120,
390,423,148,439,535,407,801,216,408, 24,349,308,237,461,330,384,472,
116,401,293,107,533,319,690,415,200, 23,772,226,117,346,134,335,191,
159,514, 95,441,612, 66,297,498, 47,413,687, 52,265,604,458,648,709,
696,234,544, 61, 68,442,656,229,190,406,660, 46)( 50, 59,454,414,336,
343,553,807,358,466,273,354, 58,421,530,299,741,207,736,101) ] ],
[ 19, 406078744780800, 0, "2", [ [ 819, 1 ] ], 2, "PGammaL(4, 3^2)",
[ "L", [ 4, 9 ], 1 ],
[ ( 1,695,726,766,620)( 2,342,281, 44,631, 15,721,755,393, 79,275,177,472,
62,477,123,277,771,521,256,104,543,625,814,258, 6,678,579,632,741,
3,522,662, 91,567,366,403,176,139, 48)( 4,129,286,185,735,667, 96,
210,239,283,293,784,634, 35,711,534,465, 92,412,580,639,668,492,382,
560,117,190, 29,326,749,200, 64,626,160,815,163,330,114,796,511)
( 5,505,217,763,484,597,152,476,444, 32,205,598,424,288,564,623,315,
364,647,260, 74,422,111,487,498,638, 19,431,169, 73, 54,468,353, 43,
58,243,124, 69,108,460)( 7,181, 87,663,516, 55, 97,723,271,203,437,
699,253, 71,456,225,652,397,295,445,548,602,236,375,523,780,747,782,
704,161,299,420,112,689,401,798,670,166,140, 89)( 8,750,455,141,458)
( 9,242,501, 47,132,481,187,355,778,794,692, 95,392,218,362,504,302,
11,765,101,224,231,485,805,530,287,354, 39,252,759,687,767,202,769,
311,405,809,196, 66,684)( 10,508,497,470,324)( 12,409,157,459,791,
38,535, 36,583,425,544,474, 40,600,557,464,675, 76,250,106,289,441,
49,686,770,240,654,138,434,149,478, 33,400,656,525,440,193,343,513,
590)( 13,368,537,417,308,499,518,775,336,410,303,803, 21,297,348,416,
642,606,398,581,146,659,586,296,672,462,745,737,300,615,608,715,350,
660,312,592,572,335,569,321)( 14,788,779,306,698,369,736,365,612,127,
762,743,395,407,708, 56,381,292,305,377,162,423,168,669,406,421,529,
18,426,624,376,665,143,345,359,254,621,222,318, 16)( 17, 86, 30,649,
170,740,566,611,137,234,235,490,262,233,344, 65,589,212,115,502,790,
94,601,515,471,447,777,280,332,732,558,372,357, 52, 80,808,772,527,
520,679)( 20,370,752,333, 22, 26,510, 82,178,746,216,489,693,158,121,
550,688,367,742,446,325,144, 57,109,724,683, 28,206,347,438,133,645,
223,701, 98,655,244,279,413,661)( 23,571,379, 60,148, 31,220, 46, 70,
251,331,211,396,588,221,427,207,230,806,635,709,208,482,491, 78,246,
328,452,541,819,714,480,105,636,694,503,514,540,198, 24)
( 25,820,119,712,756,380,448,748,795,384,173,219,226,414,754,387,610,
272,605,807, 67, 51,776, 84,155,265,483,402,442,577,432,641,418,758,
546,320,373,643,599,419)( 27,574,555,479,533)( 34,428,273, 45,301,
512,787,269,697,524,628,248,542,135,781,793,449,633,644,609,174,584,
390,199,705,352,627,282,274,804,728,215,576,646,172,153,183,371,436,
167)( 37,744,651, 53,810)( 41,209,549,249,264,797,341,237,702, 50,
151, 93,716,194,650,116,710,604,102,257,488,435,664,238,186,539,554,
671,774,722,486,753,351,816,197,707,374,593,316,142)( 42, 61,466,383,
706)( 59,337,430,100,267,640,799,349,159,551,338,607,673,450,622,291,
783,582,433,195,768,653,313,363,415,241,500,616,284,629,630,204,322,
536,507,386,690,310,594,562)( 63,691, 81,103,658,391,802,378,666,327,
227,214,509,126,648,145,563,547,729, 77,719,553,358,751,786,637,164,
613,443,404,473,232,107,451,259,801,261,122,314,356)( 68,245,773,818,
113)( 72,717,346,463,531,147,811,680, 88,125,570,266,263, 90,334,182,
110,150,538,619,517,685,813,700,561,519,131,156,573,388,340,585,785,
731,475,738,469,439,399,184)( 75,329,229,614,817)( 83,270,467,587,760
)( 85,213,461,800,595)(118,493,761,603,429)(120,568,730,171,339)
(128,201,496,317,285,596,552,565,617,154,591,188,268,812,677,408,192,
294,532,718,191,189,545,713,703,733,290,734,789,389,385,228,720,175,
134,725,495,696,180,323)(130,307,618,792,682,528,757,360)
(136,727,304,179,276)(165,526,247,255,559)(278,575,457,361,764)
(298,676,453,578,454)(319,394,739,657,681)(411,506,674,556,494),
( 1,814,566,443,114, 77,747, 80,599,312,755,127,580,781,314, 89,134,
330,480,155,303,183,440,527,789,620,508,344,110,346,432,673,779, 41,
724,145,340,655,368, 97,636,170, 26, 79,167, 57,235,557,478,768,474,
113)( 2, 58,135,357, 67,512,171,790,689,334,405,248,212, 86,500,727,
660,243,333,392,635,279,541,569,776,446,612,495,381,122,133,384,270,
162,202,670,468,431,249, 21,128, 37,252,206,234,100, 39,185,230,367,
355,560)( 3,119,757,232,618,345,518,221,690,709,291,649,130, 75,683,
275,713,190,436,716,147,321,764,693,336,658,148,704,153,283,807,483,
802,820,473,545,686, 29,623,587,520,219,169,685,225,358,266,498,681,
628,160,516)( 4,306,701,629, 92,564,208,331, 30,785,772,136,507,596,
373,393,484, 65,783,804,525,593,815,258,245,639,637,251,264,799,154,
385,576,449,678,588,315, 99,391,242,418, 76, 63,359,354,617,731,656,
379,771,470,733)( 5,503, 61,501,406,454,699,207,201, 34,738,131,226,
111,194,139,648,800,547,423,604,695,439,455,780,510,546,364,361,426,
323,497,180,143, 95,205,256,631,123,437,250,523,158,467,112,476,702,
555,511,493,294,611)( 6,813,643,667,627,253,462,805,810,387,363,514,
48, 31,688,741,290,411,209,352,116,641,407,419, 22,769,271,758,450,
195,463,671,698, 35,453, 16, 78,535,490,149,166,287,719,278,528, 47,
650, 71,433,398,680,638)( 7,544,351,181,726, 8,430,668,491,808,722,
193,404,749,189,469,265,442,561,746, 62,320,585,532, 93,550,714,240,
543,571, 42,394,257,579,735,389,445,172,142,126,725,692,376,198,220,
572,151, 13,350,365,326,634)( 9,669, 23,723, 36,632,730,237,734,721,
674, 46, 27,399,630,223,274,556,663,216, 85, 18,652,415,753,717,589,
140,621,338,197,186,651,386,425,600,213, 98,479, 69,816,778,106,533,
536,740,657,390,444,348,752,598)( 10,553,304,584,509,728,696,457,694,
515,118,763,475,293,765,472,517,284,646,177,732,349,141,262,798,601,
329,806,559,697,513,435,665,739,272,499,298,211,705,337,756,504,737,
794,700,107,582,456,526,459, 88, 87)( 11,797,534, 56,562,222,268,236,
438,775,575,672,204,366,259,302,173,615, 33,548,241,729,784,603, 32,
622,759,401,552,325,192,184,353,774,563,224,766,607,228,159,679,581,
52,117,288,736,370,642, 72,760,231, 73)( 12, 81,619,818,761,203,567,
745,708,486,371, 44,156,260,152,608,691,633,261, 49, 14,505,273, 66,
332,424,309,238, 43,506,614,400,606,396,233,157,647,313,540,653,477,
703,452,675,263,356,377,519,125,360,762,199)( 15,597,715,382,101,105,
375,410,791,645,718,374,458,146,305,301,662,565, 59,625,809,574,412,
710,310,530,684,554,605,793, 24,666,311,591,217,102,421,300,595,492,
748,269,586,573,342,422,163,383, 74,577,138,318)( 17,281,420,417,380,
529,464,434,292,165,466,488,687,164,592, 91,812,161,803,767,777,137,
121,108, 84,322,286, 94,409, 54,285, 90, 38,244,524,120,750,327,570,
414, 20,742,328,347, 70,267,129,558,103,168,711,413)( 19,661,254,471,
531, 40,214,200,335,626,150,175,482, 50,115,481,487,174,624,720,289,
397,542,578,706,178)( 25,179,609,654,460,296,372,176,819,770,280,786,
539,817,316,215,640,494,659,324,427,549,796,538,276,104)
( 28,109,502,676,403,644,144,461,795, 68,743,782,307,428,744,362,210,
773,388,282,801,239, 96,124,610,787,664,707,343, 83,489,246,613,429,
751,255,590,522,297, 55,339, 51,369,319,441,317,408,792,537, 64,196,
496)( 45,378,712,811,229,188,308,295,616,191,416,227,602)
( 60,485,187,299,277,447, 82,247,677,132,395,182,788,583,465,551,568,
754,682,521,402,448,218,451,341,594) ] ],
[20, Factorial(820)/2,1,"2",[[819,1]],818, "Alt(820)", ["A",820, 1], "Alt"],
[21, Factorial(820),0,"2",[[819, 1]],820, "Sym(820)", ["A",820, 1], "Sym"],
[ 22, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,721, 10,469,111,660,674,179,677,267,141,604,531,254,264, 60,628,281,
608,722,451,139,566, 26)( 2,160,740, 49,540,533,557,820, 62,800,119,
133, 25,220, 12,702,233,491,188,324,178,770,481,129)( 3,483,548,142,
237,240,351,791,482,157,147,253,162,104,652,514, 76,361,699,659, 82,
495,127,354)( 4,318, 93,205,184,180,329,110, 43,259,317,597,814,743,
59,673,575,215,553, 24,804,230,777,644)( 5,817,511,335,105, 50,650,
447, 8,661,306,732, 67,547,477,375, 42,368,788,130,352,284,512,609)
( 6,785, 81,225,605,263,579,485,226,619,633,751,539, 79,731,305, 30,
685,541,563,369,708,408, 36)( 7,400,647,342,290,741, 97,594,505,813,
503,377,413,616,440,108,280,189,797,272, 95,452,561,599)
( 9,273,706,747,645,435,419,499,199,153,347,438,754,603,520,479,634,
602,132,187,755,442,736,247)( 11,149,596,643, 45,502,313,490,229,251,
760,807,775,611,191,238,197,136,688,581, 15,115,316,320)
( 13,776,275,429,784,325,304,387, 47,515, 69,239,580,404,724,428,630,
794,402,591,772,279,601,268)( 14,405,757, 55,719,206, 85,727,390,467,
243,629,780,372,617, 35,122,232,486,261,703,120,614, 70)
( 16,646,303, 72, 73,278,222,573,165,484,211,773, 61,476,675,470,730,
621,454,348,798,464,257,473)( 17,292, 52,200,455, 63,289,607,151,164,
525,106,330, 90,534,663,381,774,684,256,585,582,612,662)
( 18,459,796,758,224,319,586,595, 46,746,694,535,651,131,508,366,286,
32, 29,806,771,216,783,750)( 19,779,427,763,176, 54,815,494,282,382,
792,169, 86,328, 98,223,371,393,500,346,378,177,526, 77)
( 20,532,668,638,102,550,620,302,433,190,285,231,258,244,420,367,577,
83,301,658,768,551, 80,287)( 21,403,690,262,397,589,460,588,113,510,
717,450,622,288,488,357,748,492,766,669,641,689,345,423)
( 22,337,212,217,474,704)( 23,623,416,174,213,738,234,809,756,493,545,
701)( 27,334,163,298,156,399,600, 39,683,527,475,300)
( 28,193,802,546,678,154,158,687,448,564,516,235, 44,383, 92,411,698,
356, 74, 68,116,498,637,716)( 31,283,430,752,640,805,667,439,655,781,
552,249,146, 38,707,421,436,787,299,409, 87,812,343,415)
( 33,125,293,656, 57,277,518,496, 94,204,560,649, 78,789,414,816,519,
626,753,379,294,265,745,749)( 34,665,297,734,587, 64,364,769,209,711,
373,713)( 37, 66,543,487,203,326, 96,544,782,489,593,359,360,714,437,
341,170,340,536,610,478,723,186,615)( 40,528,338,424,705,555,214,322,
584, 51,311,412,182,639,542,137,811,590,765,504,202,480,389,269)
( 41,530,327,664,236,506, 75,744,274,167,407,657,426,700,219,810,759,
556,737,549,353,808,266,339)( 48,686,679,583,801,682,457,463,344,118,
332,242,578,181,425,725,790,333,388,168,653,201,458,762)
( 53,676,161,471,523,291,444,517,529,767,465,693,697, 56,150,497,140,
729,576,571,432,422,733,198)( 58,126,312,709,624,728,456,394,144,246,
681,537)( 65,625,569,735,171,636,558,468,521, 88,778,392,336,443,818,
309, 91,107,207,227,365,148,501,691)( 71,145,648,386,101,567,349,742,
172,370,449, 84,524,221,398,260,323,152,385,252,718,124,795,654)
( 89,538,210,720,218,391,173,761,574,114,572,715,472,250,396,670,764,
739,618,270,241,666,712,671)( 99,695,123,362,819,631,632,314,507,350,
613,185)(100,672,462,592)(103,559,255,395,461,196,295,565,308,418,
195,710,606,276,358,598,384,627,635,155,434,570,112,554)
(109,175,509,374,680,799,410,406,166,363,271,793,321,696,248,466,307,
128,245,431,692,453,117,192)(121,183,445,562,376,134,228,642,380,441,
194,803)(135,310,726,568,401,417)(138,315)(143,786,331,522)
(159,446,355,208,513,296),
( 1,615,412,426,617,572, 99,393, 87,351,377,530)( 2,186, 93, 11,725,
125, 72,416,142,744,806,239)( 3,517,133,719,398,205,597,274,146,148,
647,242)( 4,153,199,542,464, 69,713,436, 91,815,813,655)
( 5, 14,753,638, 17,677,341,248,673,664,693,566)( 6,670,139,323,404,
302,488,682,809, 73,758,594)( 7,596,695,228,555,654,807,138,765,524,
37,184)( 8,108, 47,380,796,798)( 9,580,564,427,336,649,603,141,218,
562,127,665)( 10,499,372,717,337,358,101,120,155,272,692,129)
( 12,805,578)( 13, 30,671,339,174,456,451,613,105,485,463,778)
( 15,392,128,700,502,307,788,759,640,318, 90,773)( 16,328,770, 77,491,
590,270,715,604,629,540,400)( 18,771,792,365,592,285,599,441,405,107,
760,495)( 19, 68,347,528,175, 67,119,438,478,679,147,418)
( 20,658,169, 55,780,277,135,345,262,537,489,642)( 21,406, 78,434,278,
172,680,334,439,521,332, 44)( 22, 48,279,196,625,490,161,217,414,718,
353,552)( 23,313,348,260,546,164)( 24,258,335,209,316,168)
( 25,394,532,459,696,620,346,573,493,579, 65, 49)( 26,123, 64,432,111,
802,588,787,662,311,333,816)( 27,762,470,714,731,314,282,518,494,241,
92,352)( 28,818,653,198,163,709,627,447,742,112,774,386)
( 29,122,761,503,349, 54,235,584,698,755,284,674)( 31,612,492,395,454,
496,255,607,672,568,728,550)( 32,160,750,652,808,286,296, 43,173,182,
126,367)( 33,327,411,424,777,614,741,265,350,420,633,433)
( 34, 98,267,609,306, 76)( 35,251,145)( 36,724,471,610, 57,461,134,
385, 66,194,421,361)( 38,732,481,149,466,723,102,545,465,355,180,509)
( 39,423,531,593,212,422)( 40,697,790,290,810,694,322,567,220,317,224,
187)( 41,257,261,703,200,227,820,374,397,151,131,764)
( 42,515, 70,229,659,452,779,675,357,486,413,391)( 45,576,159,589,244,
166)( 46,707,785)( 50,600,283,202,430,797,754,685,460, 88,623,691)
( 51,519,444,699,734,305,736,457, 58,324,178,243)( 52,686,445,415,726,
273,514,630,772,294,512,368)( 53,301,312,281,197,230,428,472,536,618,
183,162)( 56, 95,210,376,263,681)( 59, 97,381,628, 89,330,534,236,
103,720,702,195)( 60,158,342,641,259,733,727,446,401,252,644, 86)
( 61,233,462,484, 85,660,678,109,767,739,650,535)( 62, 96,118, 74,207,
121)( 63,382,222,150, 71,300)( 75,474,757,321, 94,473,716,557,651,
533,706,622)( 79,269,356,373,621,690,513,601,271,375,114,477)
( 80,215,569,389,226,293,363,211,543,554,549,303)( 81,636,666,817,315,
171,656,308,458,635,403,561)( 82,663,338,132,325,793,595,541,266,250,
701,776)( 83, 84,181,708,429,661,684,223,559,136,152,275)
(100,814,794,116,188,297)(104,746,479,529,668,505,193,581,417,710,245,
208)(106,253,598,378,624,191)(110,176,608,190,712,329,246,144,359,
238,743,711)(113,192,124,745,811,450,344,366,219,254,648,769)
(115,730,768,729,130,619,213,264,225,331,437,292)(117,669,721,343,497,
498,449,800,556,216,574,468)(137,320,419,399,639,801,410,791,476,237,
170,804)(140,143,525,360,383,548,247,510,299,616,645,504)
(154,402,453,803,763,582,795,585,157,508,575,756)(156,689,179,749,287,
611)(165,482,547,388,467,634,819,583,309,752,783,483)
(167,319,544,587,475,291)(177,364,646,435,276,354,507,558,538,606,784,
738)(185,812,511,408,240,602,201,563,539,280,326,455)
(189,740,295,203,487,687,409,683,735,425,570,523)(204,789,362,667,249,
748,370,232,448,256,520,469)(206,384,231,443,565,657,268,340,632,571,
526,781)(221,643,310,442,551,586,631,637,387,799,516,737)
(234,288,431,298,626,501)(289,705,766,704,500,522,379,440,577,722,407,
688)(304,506,396,782,786,369,390,560,527,480,676,775)(371,747,553)
(591,751,605) ] ],
[ 23, 3443212800, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,420,447,366,336,561,619, 88,132,630,467,340,323,398,339,328,410,492,
315,820,332,728,331,288)( 2,806,296,749,633,300,386,725,257,494,738,
423,643, 34,396,280,516,408,665,210,525,587,354,470)( 3,392,372, 85,
627,422,177,186,695,429, 29,566, 13,719, 93, 21,221,676,279, 77,746,
500,819,150)( 4,334,403,127,646,645,710,507,108, 15,797,783,159,499,
641,552,268,382, 73,360,559, 56,165,638)( 5,752,651,198,791,154, 42,
146,656,130,316,139,295,157,510,546,720,183,358,312,188, 7,381,170)
( 6,387,541,575,440,318,291,463, 94, 11,472,182,200,547,133,591,471,
52,636,780,176, 14,567,580)( 8,669,229,508,640,103,329, 98,305, 49,
185,433,112,231,683,704,505,611, 59, 81,663,741, 50, 44)
( 9,818, 66,122,764,682,389,348,518,135,187,287,734,768,644,370,548,
278,400, 37,309,142,327,549)( 10,275,164,270,568,373,523,629,480,779,
680,106,249,222,239,687,475,679,703,286,465,620,173,441)
( 12,658, 76, 64,557,599,335,191,778,581,503,204,758,688,404,584,223,
765,456,306, 63,602,436,781)( 16, 78,576,151,125,661,668,771,808,129,
379,416,742,338,395,653,796, 45,361,267,650, 33,458,134)
( 17,800,573, 54,224,266,564,532,205,371,605,775,554,143,192, 47,571,
375,586,216,357,569,199,272)( 18,367,616,785,457,750,147,617,736, 71,
691,282,455, 36,815,786,696,126, 20,743,411,677,189, 90)
( 19,345,276,293,522,140)( 22,792,442,809,258,227,606,805,489,678,368,
301,739,307,694,208,158,618,623,363,634, 89,767, 68)( 23,543,194, 75,
588,439,635,251,715,632,590,731, 91,297,324,444,415,528,708,674,434,
757,473,753)( 24,220,380,450, 43,721,560,709,253,346,121,110,466,317,
748,337,166,397, 39, 32,607,801,238,769)( 25,256,261,374, 82,290,211,
72)( 26,562,163,264,333,172,417,289,115,660, 69,138,737,432,162,609,
41,628,178,481,167,431,359,685)( 27,114,124,501,284,478,751,262,707,
148,341,673,152,349,311,766,353,626,515,356,813,377,722,369)
( 28,774,206,405,784, 48,538,671,631,248,168,744,519,513,255,592,303,
773,393,230, 65,365,116,733)( 30,483,308,476,402,763,243,762,487,477,
530, 86,498,517,179,390,259,313,536,642,684,495,438,107)
( 31,137,109, 57,713,342,409,788,181,542,283,383,615,698,292,418,689,
729,235,598,145,414, 99, 95)( 35,593,362,577,427,448,407,717,735,712,
464,228,675,347,621,814,355,625,502, 92,803,759,156,526)
( 38,520,816, 46,550,578,659,169,141,385,718,493,161,461,326,772,244,
511,302,565,285,600,509,716)( 40,171,474,437,756,711, 84,232,378, 87,
553, 53, 62,117,755,534,459,807,153,672,322,723,263,196)
( 51,811,624,491,451,817,406,488,119, 83,120,810,597,273,214,462,350,
443,421,570,247,131, 67,136)( 55,730, 79,219,294,104,574, 96,213,666,
603,614,202,544,105,149,218,724,184,535,531,782,203,320)
( 58,428,596,652,524,732,589,681, 74,391,245,426,343,412,193,690,271,
714,539,496,445,793,101,484)( 60,254,583,637,556,790,804,299)
( 61,686,795,558,497,594,240,699,514,388,647,468,812,321,754,430,608,
241,776,242,419,486,604,144)( 70,802,545,654,435,197,330,702,613,314,
453,304,610,452,413,655,787,201,454,269,706,424,740,700)
( 80,364,504,118,639,265,760,351,572,648,601,174,212,123,236,446,128,
237,217,102,697,540,563,274)( 97,662,585,485,479,234,799,155,277,798,
693,250,281,657,705,726,425,226,399,175,310,555,622,344)
(100,325,469,667,180,701,319,595,209,649,506,727,160,246,260,745,376,
692,190,482,612,527,794,215)(111,233,789,490,521,225,770,460,747,401,
533,670,537,252,449,761,394,512,352,529,384,664,195,113)(207,579,582)
(551,777), ( 1,745,337,668,186,768,457,409,104,551,817,379,597,188,
609,361,531, 67,470,182)( 2,366,748,549,492,393,693,672,322,372,512,
385,144, 23,749, 71,354, 4,185,811)( 3,220,738, 9,260,802, 44,306,
634,157,233,371, 53,199,729,281,133,723,462,766)( 5, 74,183,637,590,
439, 66, 34,681,434,335,196,761,126,715,716,685,175,132,815)
( 6,172,113,214,760, 73,711,204,781,664,241, 22,624,488,210,151,601,
786,494,754)( 7,397,246,618,271,290,814,459,255, 81,782, 27,468,178,
466,336,163,159,424,422)( 8,707,376,809,491,646,261,585,594, 17,732,
302, 75,208,674,548,565,574,710,305)( 10,560,785,658,333,700,389,323,
332,543, 95,299, 92,472,169,176,240,139,360,460)( 11,645, 78,373, 18,
498,799,412, 25, 15,643,769, 79,697,689,467,810,148, 98,225)
( 12,262,581, 28,770,278,432,518,571,717,747,263,447,762,772,170,756,
46,682,695)( 13,211,648,179,443,536, 83,517,496,670,430,602,495,433,
657,750,160,686,150,526)( 14,742, 21,813,676,451,352,125, 72,327,673,
764,143,656, 24,229,116, 43,546,564)( 16,610,202,231,365,224,310,410,
818,612,659,552, 38,245, 31,525,527,666,268,733)( 19,593,375,258,458,
483,124,445,580,154,165,448,235,356, 96,249,579,644, 89,155)
( 20,796,440,539,446, 37,600,722,631,589,727,586,388,730,197,535,622,
311,737,705)( 26,127,591,256, 42,300, 99,243,236,421,413,561,280,426,
259,793,566,394,106,699)( 29, 85,746,195,577,789,620,340,461,152,804,
679,404, 82,757,508,800,774,357,506)( 30,790,136,569,767,558,408,173,
283,380,819,542,623,698,253,617,514,511,359,324)( 32,105,381,731,321,
90,628,406,417,759,721,247,401,198,771,101,142,765,820,654)
( 33,736,660,292)( 35,194,449,428,639,534,117,567, 80,559,584,232,334,
351,315,239,349,223,320,358)( 36, 86,370,338,303,490,557,252,741,638,
203,816,476,532,726, 91,317, 40,501,180)( 39,507,687,801, 65, 93,478,
329,578,135,675,192,621,342,442, 70,273,130,377,614)( 41,703,168,662,
562,479,257,288,221,158,282,386,425,640,325,193,505,228,753,482)
( 45,161,415,120,274,405,647,318,808,121,174,667,411,187,661,649,547,
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207, 87,696,545,212,763)( 48, 49,291,108,216,630,217,435,111,635,778,
102,616,244,671,285,605,264,563,734)( 50,651,118,250,598,615,205,663,
167,797,287,266,201,775,465, 55,533,344,110,341)( 51,367,582,128,706,
450,576,276,708,489,735,629,477,755,382,572,503, 94,606,427)
( 52,626,348,608,238,114, 58,286,166,454,678,575,248,780,226,368,592,
395,510, 56)( 54,613,530,319,398,138,103,242,107,390,177,251,550,688,
437,328,396,773,720,400)( 57,416,604,481,279,237,265,153,289,650,134,
641,603,719,275,364,475,387,431,191)( 59, 76,362,718,314,484,519,504,
69,227,215,665,744, 64,131,147,513,209,312,297)( 60,444, 84,452,541,
307,141,806,420,190,438,464,436,798,652,429,537,378,743,218)
( 61,480,145,301,684,509,418,171,345,704, 97,515,109,471,690,521,522,
553,568,455)( 62,642,149,363,100,456,309,326,269,627,164,570,493,625,
794,502,724,308,540,112)( 63,633,296,181,739,474,469,414,129,752,500,
485,795, 77,784,611,230,556,473,680)( 68,162,189,725,758,805,339,391,
346,709,751, 88,599,399,374,383,669,807,119,206)(115,792,803,692,219,
316,402,520,677,538,355,691,779,407,499,619,254,524,330,369)
(122,146,140,607,403,583,487,712,787,486,812,573,123,595,298,701,791,
788,740,655)(137,523,295,267,632,528,423,555,304,384,294,587,331,347,
529,713,596,776,313,714)(184,343,277,353,272)(234,554,544,284,683)
(392,588,636,453) ] ],
[ 24, 6886425600, 0, "2", [ [ 90, 1 ], [ 729, 1 ] ], 1, "PSp(4, 3^2).2^2",
[ "B", [ 2, 9 ], 1 ],
[ ( 1,238,177, 92,681,287)( 2,294,116,554,225,276)( 3,191,524,269,312,365
)( 4,343,166,148,466,111)( 5,266,122,784,189,532)( 6,537,420,741,
389,617)( 7,772,787,545,809,374)( 8,438,623,431,704,248)
( 9, 12,382,676, 20, 73)( 10,108,380,788,335,210)( 11,547,468,586,
282,719)( 13, 53,226, 19,178,200)( 14,627,474,501,594,376)
( 15,384,427,319,819, 64)( 16,289,605,370,646, 76)( 17,146,162,156,
662, 85)( 18,247,661,133,789,516)( 21,197,449,480,280,531)
( 22,187,569,362,396, 72)( 23, 94,805, 89,742,552)( 24,316,520,367,
308,494)( 25,252,404,403,305,744)( 26,778,687,325,562,139)
( 27,320,419,500,415,582)( 28,708,724, 52,387,807)( 29,671,390,434,
140,769)( 30,597, 67,810,369,467)( 31,677,512,691,701,706)
( 32,639,666,109,758,725)( 33,649,428,349,313,806)( 34,745,732,270,
558,462)( 35,453,299,656,509, 98)( 36,452,211,514,229,402)
( 37,604,293,640,193,716)( 38,326,544,114,425,214)( 39,159,318,129,
818,790)( 40,595,645,121,339,331)( 41,654,584,698,762, 46)
( 42,636,678,250,447,410)( 43,459,794,647,231, 44)( 45,274,435,473,
652,405)( 47,526,236)( 48,300,793,130,621,750)( 49,397,667,737,734,
143)( 50, 54,158,550,618,723)( 51,760,127,693,117,112)
( 55,184,482,738,424,817)( 56,653,785,132,454,242)( 57,165,255,729,
285,463)( 58,631,638,651,470, 91)( 59,297,322,163,796,172)
( 60,577,811,528,185,118)( 61,488,233,747,357,799)( 62,450,561,338,
239,264)( 63,181,201,736,456,342)( 65,328,483,658,756,469)
( 66,496,302,682,180,460)( 68,103,679,423,548, 90)( 69,258,445,271,
538,232)( 70,598,261,279,721,602)( 71,358,433,798,286,411)
( 74,314,739,804,492,709)( 75,573,128,813,104,712)( 77,421,628,400,
579,136)( 78,699,728, 80,551,481)( 79,518,176,543,161,414)
( 81,479,622,507,292,227)( 82,644,563,195,727,765)( 83,777,321,490,
560,702)( 84,675,591,333,529,422)( 86,394,581,149,770,603)
( 87,237,773,364,353,630)( 88,710,471,309,288,803)( 93,179,568,589,
779,726)( 95,310,268,534,780,476)( 96,154,448,493,776,377)
( 97,327,733,188,613,697)( 99,700,391,446,221,508)(100,436,215,223,
141,754)(101,608,599,587,752,559)(102,511,152,253,761,182)
(105,757,379,523,131,164)(106,138,361,633,332,432)(107,464,659,347,
303,475)(110,751,393,801,207,557)(113,650,168,337,277,688)
(115,715,774,720,740,593)(119,815,641,596,763,782)(120,246,664,290,
576,606)(123,363,771,125,174,570)(124,198,517,340,244,217)
(126,485,256,637,262,442)(134,260,430,530,615,306)(135,497,472)
(137,144,510,291,284,610)(142,556,477,205,665,416)(145,243,696,592,
625,346)(147,816,519,170,334,153)(150,695,186,240,281,578)
(151,406,781,683,202,373)(155,731,216,812,571,585)(157,249,670,443,
360,426)(160,502,674,169,692,541)(167,355,574,711,567,546)
(171,673,324,590,317,588)(173,457,542,820,713,254)(175,408,399,620,
345,680)(183,206,311,315,703,643)(190,522,295,525,648,717)
(192,600,694,705,499,491)(194,461,398,296,748,330)(196,767,283,213,
235,572)(199,251,714,352,764,437)(203,372,689,378,663,690)
(204,575,385,749,607,521)(208,388,439,632,219,800)(209,487,259,722,
366,344)(212,401,791,350,642,660)(218,685,566,245,386,275)
(220,792,549,616,672,356)(222,429,495,336,241,359)(224,478,783,265,
228,503)(230,657,614,766,768,263)(234,619,583,272,371,540)
(257,564,409,368,629,624)(267,533,395,684,626,465)(273,669,504,304,
797,440)(278,455,444,686,458,655)(298,746,418,565,786,755)
(301,743,601,707,555,775)(307,808,506,451,634,609)(323,329,413)
(341,354,375,348,513,535)(351,407,515,486,802,611)(381,753,635,441,
484,392)(383,718,730,505,489,668)(412,795,580,612,539,498)
(417,527,735,553,759,814),
( 1,685,549,721,105, 27, 26,198,727,376,724,378,484,682,563,227,508,
415,181,773,587,206,779,714)( 2,338,575,340,410,743, 73,790,249,646,
592,268,434,236,707,154, 19,444,270,818, 38,327,565,158)
( 3,450,703,440,219, 58,679,129,467,395, 46,525,566,767,288,179,546,
446,781,811,263,662,326,165)( 4,355,334,341,456,448,633, 52,610,303,
176,392,130,286,651,345,593,567,166,164, 15,178,753, 63)
( 5,545,408, 9,795,398,802,131,625,114,538,613,134,255, 11,710,690,
678, 99,503,247,133,235,809)( 6,799,457,692, 71,599,674,742,100, 95,
803,426,296,433,132,443,282,141,242,453,616,187,661,257)
( 7,277,477,664,576,416,481,735)( 8,221,231,776, 86,526, 96,496, 60,
704,245,500,676,188,320,414,726, 31,774,615,329,193,756, 43)
( 10,514,702,339,792,751,765,521,548,644,330, 14,645, 72,564,522,607,
173,177,752,183,562,588,531)( 12,568,429,394,725,439,201, 81,269,655,
79,382,723,778,717,422,167,620,109,478,317,485,671,246)
( 13,163,160,199,289,691,240,744,254,764,598,251,226,554,174, 62,532,
352,119,172,409,412,642,528)( 16,387,747, 35,264,603,589,814,722,805,
232,569,483,191,348,112,372,759,626,463,299,604,572,529)
( 17,812,471,540, 47,582,418,515, 94,455,239,213,298,377,524,140,580,
419,694,267,228,421,413, 69)( 18, 65,761,279,399,159,145,275,207, 91,
316, 39, 33,436,732,541,738,459,148,252, 24,793,648,561)
( 20,452,684,344,673,775,331,741, 75,328,117,611,260,347,590,595,475,
406,696,425,373,640,534,402)( 21,305,488,518,553,379,346,102,237,350,
470,384,787,157,708,393,125,681,668,241,693, 25,381, 77)
( 22,748,272,424,492, 74,637, 29)( 23,466,147,479, 98,505,535,804,291,
244,807,447,680,151,768,507,523,739,309,314,614,762,789,591)
( 28,417,495,468,660,570,628,259,785,214,115, 64,687,423,808,757,116,
374,638,718,225,364,560,342)( 30,769,465,333,248,461,635,371,464,619,
713,362,579,110,486,390,810,544,736, 83,618,250,368, 51)
( 32,647,656,460,745,332,375,737,111,430,321,502,788,667,428,294,451,
819,262,539,487,223,639,602)( 34,612,653,493,755,104,234,143,385,122,
200, 50,293,323,127,217,366,278,404,734,128,581,675,389)
( 36,276,230,156,285,497,622,697,791,491,363,283,324,770,274,712,729,
258,195,403,212,301,336,135)( 37,292,380, 55,520,716,308,700,265,636,
583,800,550,365,359,686,574,606,441,287,229,733,715,354)
( 40,155,652,623,343,383)( 41,396,325,728, 85,405,813,400,571,719, 70,
266,295, 45,369,144,494,634,643,205,772,322,107,220)( 42,621,153,480,
273,609, 80,307,126,557,432,186,243, 61,513,180,801,730,482,784,641,
88,542,161)( 44, 48,118,124,786,617,689,106,437,170, 87,310,472,608,
677,137,754,533,663,672,536,517,353,407)( 49,552,499,632,335,202,498,
597,391,760,319,302,701,474,351,711, 57,197,445,657,304,698, 93,224)
( 53,311,749,171,222,420,449,594,683,238,462,780,120,138,204,139, 54,
629,103,750,215,211,558,820)( 56,431,658,649,816,360,670,797,388,337,
510,150,543,438,208,169,367,454,740,596,306, 78,758,401)
( 59,705, 76,627,194,216,519,659,473,210,665, 92,357,666,559,601,435,
527,650,261,253,584,136, 67)( 66,142,203,185,731,162,709,280,318,512,
669,605,386, 90,794,196,585,189,766,556,397,271,297,192)
( 68,300,489, 84,511,175, 89,504,281,442,361,184,218,624,152,209,370,
284,777,490,720,113,586,763)( 82,695,469,149,121,312,806,578,313,168,
516,783,796,573,530,699,630,815,349,555,290, 97,509,782)
(101,233,501,356,631,190,123,427,146,476,547,600,798,688,108,411,182,
315,537,506,256,771,551,817)(358,654,458)(577,706) ] ]];
PRIMGRP[821]:=
[[1, Factorial(821)/2,1,"2",[[820,1]],819, "Alt(821)", ["A",821, 1], "Alt"],
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( 18,831,133,243,373,825)( 19,376,297,549,103,413)( 20,651,307,360,
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( 38,509,268,553,405,206)( 39,294,401,627, 61,272)( 40,526,284,543,
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( 43,197,747,451,173,671)( 45,180,528,621,512,594)( 46,459,838,485,
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( 66,665,477,361,722,504)( 67,158,118,126,229,365)( 68,154,356,419,
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( 71,801,745,433,557,610)( 72,836,130,129,350,583)( 73, 74,323,502,
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( 86,234,513,114,833,341)( 87,124,420,711,237,579)( 88,517,276,638,
140,566)( 89,628,672,236,476,283)( 90,132,211,352,143,343)
( 91,764,241)( 92,598,691,620,149,148)( 93,765,704,741,374,609)
( 95,756,171,372,772,453)( 96,445,170,714,110,758)( 97,514,122,657,
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(104,138,147,694,567,345)(106,619,228,577,702,592)(107,384,816,128,
750,214)(108,191,112,501,134,496)(109,265,435,538,231,753)
(111,611,661,751,521,113)(115,776,399,398,558,548)(117,734,650,813,
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(121,525,770,666,721,293)(125,258,383,456,662,677)(127,536,135,155,
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(141,417,600)(142,274,515,796,643,705)(146,806,467,178,472,287)
(150,788,588,387,224,468)(151,247,163,565,490,760)(153,529,520,334,
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(164,710,416,820,653,309)(165,179,832,410,713,308)(166,483,652,743,
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(251,585,540,669,471,348)(257,335)(261,438,560,480,357,699)
(270,475,493,338,790,518)(280,404,298,814,414,596)(282,353,676,680,
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(289,575,807,664,406,591)(295,614,470,489,658,402)(296,781,408,561,
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(339,617,377,821,397,425)(342,466,799,554,624,647)(344,452)
(375,587,531,403,422,430)(392,667,674)(421,506,589,775,739,424)
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564,110)( 77,253,534,433,648,285,563,191,448,606,554, 99)
( 79,173,204,480, 96,490,417,179,726,299, 93,190)( 81,557,817,627,576,
134,440,156,559,208,818,101)( 82,404,562,798,738,790,315,262,380,828,
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( 85,504,406,255,723,542,382,373,654, 97,610,763)( 89,581,639,175,724,
553,591,418,641,645,708,621)( 92,449,683,655,565,207,143,807,514,398,
249,279)( 95,556,681,742,733,637,247,270,286,115,121,721)
(103,119,795,396,221,676,351,789,145,144,288,436)(105,452,743,312,573,
527,455,195,675,611,426,671)(109,668,751,601,592,666,427,691,209,608,
748,420)(112,804,306,539,722,680,526,684,228,224,298,813)
(116,218,387,670,368,470,441,623,477,292,414,183)(120,193,679,712,840,
300,467,174,771,656,776,578)(132,316,171,533,821,350,362,468,267,640,
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(164,536,686,367,555,803,638,838,693,366,692,700)(167,778,541,424,369,
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(196,231,357,713,831,513,405,717,649,735,251,471)(222,544,511,830,284,
281,728,338,704,274,407,580)(234,438,498,297)(248,699,626,397,661,
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[ 6, 590588880, 0, "2", [ [ 839, 1 ] ], 3, "PGL(2, 839)",
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PRIMGRP[841]:=
[[ 1, 39088377576969934652605137100364510875573423177728000000000000, 0, "4c",
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632,751,640,150,425,392,197,745)( 3, 56,327,492,108,217,684, 67,439,
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427,218,191, 78, 4,288,325,811,100,507,691,560,453,706,243,828,355,
302,525, 51,588,493,775,204,133, 83,613,287,644,788,419,508,198,571,
18,723,330,840, 94,304,670, 38,443,474,253,219,365, 70,526,283,586,
812,767,494,140,576,627,722,649,817,413,305,177, 49, 8,491,340,231,
104, 72,671,270,441,793,245,509,372,563,540,718,591,841,761,291,119,
54,617,490,659,208,423, 73,178,281, 6,810,332,521,111,565,685,705,
446,822,239,306,351, 41,530,486,601,232,771, 59,120,286,615,809,651,
498,430,566,192,716, 11,839,326,318, 90, 43,675,473,456,213,249, 74,
352,273,528,805,593,522,778,552,134,721,620,838,645,295,409, 44,182,
484, 21,230,336, 86, 91,275,673,792,448,503,256,567,366,708,533,834,
587,319,757, 30,124,489,630,229,655, 63,410,276,180,803, 13,520,343,
579,105,710,678,821,442,300,235, 45,356,476,543,225,597, 87,758,262,
122,808,622,519,662,556,424,711,185,832, 7,317,322, 57, 95,478,688,
212,452, 68,236,277,354,795,535,515,604,580,772,697,127,837,616,316,
641, 34,414,479,195,223, 17, 85,323,289, 93,797,680,502,459,561,250,
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187,513, 24,578,337,724, 98,826,674,299,438, 39,240,480,369,215,539,
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( 5,433,334,202,107, 14,694,328,463, 97,246,683,357,447,532,254,596,
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199,629, 26,665,324,434,102,188,687)( 10,259,335,376, 99,536,689,589,
464,764,233,132,373,621,548,660,585,435,769,175,136, 25,636,345,666,
92,420,682,183,455)( 12,549,341,608,116,768,668,125,460,619,258,654,
353,418,537,196,600, 29,781,320,144,112,623,693,647,440,416,247,190,
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205,162, 77,381,284,731,785,158,512,401,574,743,698,156,831,384,313,
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( 2,152, 39,431,595,467,833,193,308,725,776,350,159,677,418,508,481,
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327,289, 93, 9,384, 40,228,604,554,825,541,298,290,760)
( 3,819, 48,315,609,757,814,164,300,435,769,466,166,184,424,711,486,
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( 4,645, 34,460,607,322,840,106,299,406,765,205,169,561,419,537,472,
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( 5,442, 56,344,608, 90,821,396,301,232,778,553,158,532,414,276,470,
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( 10,413, 44,489,601,177,830,715,312,377,768,669,157,503,423, 73,468,
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( 11,210, 53,576,593,525,820,280,296, 29,761, 31,170,590,409,827,483,
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( 19,297, 58,779,582,148,822,425,305,493,775,176,163,706,428,363,478,
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( 20,790, 52,750,581,119,838,628,310,812,777,727,146,126,432,624,484,
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( 23,732, 30,141,606,612,832,802,313,754,755,118,171,619,426,798,487,
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(117,142,635,629,803,806,748,726)(132,258,625,252,799,255,741,233)
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590,837, 21,206,570,498, 46,719,607,373, 18,728,555,788, 39,835,601,
228, 19,496,568,701, 56,371,598,750)( 5, 32,574,585, 54, 23,583,576)
( 6,264,565, 92, 45,487,595,199, 12,525,579,324, 49,400,581,460, 7,
148,573, 63, 37,255,604,663)( 8,235,575,643, 35,284,594,112, 16,467,
566,179, 41,545,608,344, 20,380,552,440, 36,168,602, 83)
( 9,119,560,121, 38,139,589,141)( 11,612,562,614, 40,632,591,634)
( 13,670,564,672, 42,690,593,692)( 14, 90,567,469, 44,197,592,547, 28,
322,571,382, 30,458,587,170, 22, 61,559,237, 53,661,586,286)
( 59,443,239,169,660, 64,269,246,111,654,470,276,188, 99,538,492,334,
194,389,523,463,326,165,399)( 60,414,261,314,664,760,263,420,116,306,
490,769,176,418,551,318,345,774,379,407,464,297,171,776)
( 62,791,242,836,659,209,280,507,104,712,491,363,192,737,526,811,329,
832,398,204,454,500,162,718, 85,356,250,749,642,789,271,826,108,219,
483,508,191,708,549,376,337,745,381,784,445,819,166,225, 77,501,249,
720,665,354,279,739, 91,799,474,827,195,215,541,521,336,716,404,349,
453,732,149,805, 68,820,253,227,657,499,278,710,114,364,482,740,178,
795,532,840,340,223,396,494,452,703,172,370, 76,733,236,807,648,818,
282,217,106,509,481,711,201,360,540,753,323,803,387,813,456,210,164,
515, 75,704,259,372,656,731,265,797, 97,828,485,218,193,505,539,724,
346,368,395,726,439,790,155,834, 79,211,251,517,655,702,288,362,105,
741,468,798,184,824,543,231,338,513,394,697,462,355,163,747)
( 65,153,254, 82,646,238,285,652, 93,277,478,102,190,476,537,202,331,
542,405,320,455,384,146,457)( 66,240,256,662,644,267,275,101,103,480,
479,189,186,534,550,347,339,397,378,436,442,152,167, 80)
( 67,124,241,140,647,122,270,130, 96,132,473,131,183,128,531,144,328,
136,386,117,444,123,154,138)( 69,617,243,633,649,615,272,623, 98,625,
475,624,185,621,533,637,330,629,388,610,446,616,156,631)
( 70,530,260,343,658,383,262,449, 94,161,486, 73,182,244,546,666,325,
281,391, 88,451,471,160,196)( 71,675,245,691,651,673,274,681,100,683,
477,682,187,679,535,695,332,687,390,668,448,674,158,689)
( 72, 95,248,488,653,180,273,536,115,335,484,392,175,447,529,173,341,
78,385,233,459,645,151,283)( 74,472,247,198,650,528,289,333,107,393,
465,450,181,157,544, 86,327,252,401,639,441,268,159,109)
( 84,762,234,430,667,296,287,768, 89,422,493,305,200,766,524,434,348,
310,403,755,437,413,174,312)( 87,298,258,778,640,412,290,304,113,770,
466,421,203,302,548,782,321,426,406,291,461,761,147,428)
(118,415,145,299,142,763)(120,792,126,821,137,212,135,502,133,705,143,
357,134,734)(127,618)(129,676)(205,425,522,307,722,781,350,424,754,
294,809,764,814,427,232,309,519,771,698,433,377,308,751,758,785,416,
841,311,229,773,495,423,725,317,374,772,727,410,812,300,838,775)
(207,802,503,829,717,230,367,511,742,700,810,358,830,746)
(213,831,514,220,715,520,365,714,752,352,801,735,816,804)
(214,628,504,626,707,636,359,627,736,613,794,619,823,630)
(216,686,506,684,709,694,361,685,738,671,796,677,825,688)
(221,744,497,800,706,839,369)(222,512,510,713,723,375,366,743,729,787,
793,822,833,224)(292,432,783)(301,635,765,611,417,638)
(303,693,767,669,419,696)(316,780,756,408,435,319)(622,678),
( 1, 81,543,559,502,788,378, 23, 79,530,560,498,784,400, 21, 66,531,
556,494,806,398, 8, 67,527,552,516,804,385, 9, 63,523,574,514,791,
386, 5, 59,545,572,501,792,382)( 2, 83,544,554,513,797,381, 28, 70,
541,569,519,810,390, 24, 87,533,568,509,798,384, 6, 68,524,576,515,
786,397, 14, 62,550,563,512,801,403, 27, 71,546,580,504,800,393, 15,
65,528,561,495,808,399, 3, 78,536,555,521,795,396, 18, 84,549,564,
517,812,388, 17, 74,537,558,499,793,379, 25, 80,525,571,507,787,405,
12, 77,540,577,520,796,401, 29, 69,539,567,508,790,383, 10, 60,547,
573,496,803,391, 4, 86,534,570,511,809,404, 13, 82,551,562,510,799,
392, 7, 64,532,553,518,805,380, 20, 72,526,579,505,802,395, 26, 85,
535,575,522,794,394, 16, 73,529,557,503,785,402, 22, 61,542,565,497,
811,389, 19, 76,548,578,506,807,406, 11, 75,538,566,500,789,387)
( 30,603,311,240,328,730,349,139,224,820,705,759)( 31,605,312,235,339,
739,352,144,215,831,714,780, 56,593,314,261,330,742,364,131,210,818,
706,756, 54,602,293,252,333,729,376,128,222,830,722,781, 42,604,319,
243,336,741,363,123,209,822,698,779, 51,583,310,246,323,753,360,135,
221,838,723,767, 53,609,301,249,335,740,355,122,213,814,721,776, 32,
600,304,236,347,737,367,134,229,839,709,778, 58,591,307,248,334,732,
354,126,205,837,718,757, 49,594,294,260,331,744,366,142,230,825,720,
783, 40,597,306,247,326,731,358,118,228,834,699,774, 43,584,318,244,
338,743,374,143,216,836,725,765, 46,596,305,239,325,735,350,141,225,
815,716,768, 33,608,302,251,337,751,375,129,227,841,707,771, 45,595,
297,238,329,727,373,138,206,832,710,758, 57,592,309,250,345,752,361,
140,232,823,713,770, 44,587,296,242,321,750,370,119,223,826,700,782,
41,599,308,258,346,738,372,145,214,829,712,769, 36,586,300,234,344,
747,351,136,217,816,724,766, 48,598,316,259,332,749,377,127,220,828,
711,761, 35,590,292,257,341,728,368,130,207,840,708,773, 47,606,317,
245,343,754,359,133,219,827,703,760, 39,582,315,254,322,745,362,120,
231,824,715,772, 55,607,303,256,348,736,365,132,218,819,702,764)
( 34,581,313,253,327,734,353,117,226,833,704,763)( 37,589,295,233,342,
746,356,125,208,813,719,775)( 38,585,291,255,340,733,357,121,204,835,
717,762)( 50,588,299,237,320,748,369,124,212,817,697,777)
( 52,601,298,241,324,726,371,137,211,821,701,755)( 88,661,166,617,473,
411)( 89,663,167,612,484,420, 91,666,157,628,482,432,114,651,169,638,
475,423,103,653,152,615,474,408,112,660,148,629,478,410,115,650,164,
627,490,433,100,662,174,620,481,422,102,645,151,619,466,431,109,641,
165,623,468,434, 99,657,163,635,491,419,111,667,156,626,480,421, 94,
644,155,611,489,428, 90,658,159,613,492,418,106,656,171,636,477,430,
116,649,162,625,479,413, 93,648,147,634,486,409,107,652,149,637,476,
425,105,664,172,622,488,435, 98,655,161,624,471,412, 97,640,170,631,
467,426,101,642,173,621,483,424,113,665,158,633,493,417,104,654,160,
616,470,416)( 92,639,168,630,472,415)( 95,647,150,610,487,427)
( 96,643,146,632,485,414)(108,646,154,614,465,429)(110,659,153,618,
469,407)(175,458,282,675,183,440,262,690,195,443,270,672)
(176,460,283,670,194,449,265,695,186,454,279,693,201,448,285,696,185,
452,277,682,181,441,271,669,199,457,264,687,188,439,289,679,193,453,
287,694,187,459,290,678,191,451,276,674,180,445,263,692,196,438,281,
681,178,463,273,686,192,461,288,680,198,464,272,684,190,450,268,673,
184,437,286,689,177,455,275,671,202,447,280,685,200,462,274,691,203,
446,278,683,189,442,267,677)(179,436,284,688,182,444,266,668,197,456,
269,676) ] ],
[ 3, 78176755153939869305210274200729021751146846355456000000000000, 0, "4c",
[ [ 56, 1 ], [ 784, 1 ] ], 1, "Alt(29)^2.4", [ "A", 29, 2 ],
[ ( 1,468,585,523,470,498,530,818,521,298,819,289,317,761,271,143,780,155,
127,200,163,417,203,569,415,464,576,734,452,373,740,655,371,624,640,
52,631,379, 49, 22,381,600)( 2, 33,602,378,484, 5,526,586,494,472,
817,550,296,500,269,839,782,300,123,287,172,765,184,134,432,174,562,
183,453,431,754,568,357,450,663,748,626,350, 44,660,400,629)
( 3, 62,601,233,478,208,535,325,512,704,828,115,302,790,285,694,757,
68,137,258,159,214,187,337,425,725,567, 96,447,808,749,684,351, 73,
659,255,623,205, 42,341,396,716, 16, 91,592,784,488,672,525, 64,514,
240,826,231,303,326,280,723,770, 97,128,809,169,678,177, 76,427,261,
565,212,448,344,744,713,364,102,650,806,633,669, 32, 80,398,252, 14,
207,593,320,483,701,538, 93,505,791,836,695,293, 65,282,259,768,213,
129,345,164,707,190,105,418,812,575,676,438, 83,746,249,362,218,651,
342,628,698, 45,109,389,803, 24,671,583, 59,485,237,536,209,506,327,
831,724,306, 94,273,810,778,677,119, 84,166,243,188,221,419,348,570,
705,451,112,737,800,372,682,641, 81,630,234, 43,225,390,339, 19,700,
596, 88,476,788,546,673,496, 66,833,260,304,210,274,346,773,706,132,
113,157,794,198,685,409, 87,572,241,449,228,738,336,367,711,654,110,
621,785, 53,689,380, 78, 21,236,594,204,477,324,541,702,509, 95,824,
811,314,674,264, 85,775,242,130,229,158,330,193,714,422,116,563,792,
459,692,728, 75,369,247,652,226,622,321, 48,718,393,107, 12,787,604,
668,467, 63,543,238,507,211,825,347,309,703,277,114,766,793,140,693,
148, 69,195,250,420,232,564,328,454,721,741,104,360,798,662,690,612,
60, 50,254,391,223, 13,323,599,697,480, 92,534,789,517,675,815, 86,
311,239,275,230,767,329,135,722,161, 98,186,801,430,696,554, 67,456,
257,739,220,361,334,657,719,625, 89, 41,805,401,687)( 4,584,581,465,
469,527,528,499,501,820,840,318,297,268,288,781,764,126,142,171,156,
185,192,424,435,580,560,444,460,750,742,365,363,653,661,632,611, 31,
51,399,397, 20)( 6,497,588,813,492,295,529,267,520,762,822,144,316,
152,272,201,772,416,145,577,154,446,199,743,423,377,566,647,458,634,
727, 46,370,392,658, 23,613,582, 30,486,382,542)( 7,265,607,755,474,
121,548,151,504,182,830,434,319,558,270,462,779,735,133,374,160,649,
197,627,408, 58,573,386,455, 25,729,597,349,479,643,545,615,495, 37,
834,405,310)( 8,816,608,291,471,266,549,760,503,124,838,173,301,181,
279,433,783,561,125,461,170,736,191,366,421,667,574,618,437, 54,747,
394,368, 15,642,603,610,466, 34,544,383,513)( 9,439,605,726,481,353,
537,644,516,617,814, 57,312,384,281, 27,758,590,117,490,150,533,180,
511,414,841,579,299,442,286,752,771,358,131,664,168,620,176, 47,428,
406,571)( 10,120,606,146,475,179,540,412,522,559,821,463,315,732,278,
375,769,648,139,635,147, 40,196,395,426, 29,555,589,436,489,730,539,
354,508,646,835,637,292, 36,283,404,774)( 11,178,598,407,493,556,531,
441,518,733,829,376,305,645,284,636,756, 39,138,403,165)
( 17,352,595,639,487,614,524, 35,515,385,832, 28,294,587,262,491,759,
532,122,519,153,823,202,308,413,290,578,763,445,141,751,162,359,189,
656,429,638,553, 38,457,402,745)( 18,410,609,552,473,440,547,731,510,
356,827,666,313,616,263, 56,776,387,136, 26,149,591,175,482,411,551,
557,502,443,837,753,307,355,276,665,777,619,118, 55,167,388,194)
( 61, 79,253,246,217,216,332,338,715,712,103, 99,795,807,691,670)
( 70,804,256,681,206, 71,340,251,710,219,100,331,802,720,683, 90)
( 72,224,245,333,222,709,335,106,708,799,111,679,786, 82,688,235)
( 74,108,244,797,227,680,322, 77,717,248,101,215,796,343,686,699),
( 1,468,585,523,470,498,530,354,508,646,371,624,640, 52,631,379, 49,
22,381,600)( 2, 33,602,378,484, 5,526,586,494,472,353,537,644,516,
617,350, 44,660,400,629)( 3, 62,601,262,491,759,532,122,519,153,359,
189,656,429,638,553, 38,457,402,745, 17,700,596, 88,476,788,546,673,
496, 66,369,276,665,777,619,118, 55,167,388,194, 18,410,609,552,473,
440,547,731,510,704,364,102,650,806,633,669, 32, 80,398,281, 27,758,
590,117,490,150,533,180,511,414,377,566,647,458,634,727, 46,718,393,
107, 12,787,604,668,467, 63,543,267,520,762,358,131,664,168,620,176,
47,428,406,571, 9,439,605,726,481,701,538, 93,505,791,372,682,641,
81,630,263, 56,776,387,136, 26,149,591,175,482,411,551,557,502,443,
373,740,655,719,625, 89, 41,805,401,687)( 4,584,581,465,469,527,528,
499,501,356,363,653,661,632,611, 31, 51,399,397, 20)( 6,497,588,349,
479,643,545,615,495, 37,370,392,658, 23,613,582, 30,486,382,542)
( 7,816,608,291,471,817,550,296,500,820,376,305,645,835,637,292, 36,
834,405,310)( 8,352,595,639,487,614,524, 35,515,385,368, 15,642,603,
610,466, 34,544,383,513)( 10,120,606,146,475,179,540,412,522,559,357,
450,663,748,626,698, 45,109,389,803, 24,671,583, 59,485,266,549,760,
503,124,374,160,649,197,627,408, 58,573,386,455, 25,729,597,697,480,
92,534,789,517,675,351, 73,659,284,636,756, 39,138,403,165, 11,178,
598,407,493,556,531,441,518,733,365,711,654,110,621,785, 53,689,380,
78, 21,265,607,755,474,121,548,151,504,182,366,421,667,574,618,437,
54,747,394,716, 16, 91,592,784,488,672,525, 64,514,269,375,769,648,
139,635,147, 40,196,395,426, 29,555,589,436,489,730,539,702,509, 95,
360,798,662,690,612, 60, 50,283,404,774)( 13,323,599,233,478,208,535,
325,512,240,362,218,651,342,628,234, 43,225,390,339, 19,236,594,204,
477,324,541,238,507,211,361,334,657,255,623,205, 42,341,396,252, 14,
207,593,320,483,237,536,209,506,327,367,247,652,226,622,321, 48,254,
391,223)( 28,294,587,813,492,295,529,818,521,298,355,827,666,313,616,
814, 57,312,384,832)( 61, 79,282,288,781,764,126,142,171,156,185,192,
424,435,580,560,444,460,750,742,713,712,103, 99,795,807,691,670)
( 65,833,289,317,761,822,144,316,152,823,202,308,413,841,579,299,442,
837,753,307,703,828,115,302,790,836,695,293)( 67,456,286,752,771,706,
132,113,157,794,198,685,409, 87,572,270,462,779,735,133,722,161, 98,
186,801,430,696,554)( 68,137,287,172,765,184,134,432,174,562,183,453,
431,754,568,705,451,112,737,800,720,683, 90, 70,804,285,694,757)
( 69,195,279,433,783,561,125,461,170,736,191,714,422,116,563,792,459,
692,728, 75,717,277,114,766,793,140,693,148)( 71,340,280,259,768,213,
129,345,164,243,188,221,419,348,570,241,449,228,738,336,715,248,101,
215,796,343,686,235, 72,224,274,346,773,242,130,229,158,330,193,250,
420,232,564,328,454,257,739,220,709,335,106,244,797,227,680,322, 77,
253,275,230,767,329,135,258,159,214,187,337,425,261,565,212,448,344,
744,249,710,219,100,331,802,256,681,206)( 74,108,273,810,778,677,119,
84,166,272,201,772,416,145,577,154,446,199,743,423,725,567, 96,447,
808,749,684,699)( 76,427,290,578,763,445,141,751,162,707,190,105,418,
812,575,676,438, 83,746,278,723,770, 97,128,809,169,678,177)
( 82,688,264, 85,775,271,143,780,155,127,200,163,417,203,569,415,464,
576,734,452,721,741,104,708,799,111,679,786)( 86,311,268,839,782,300,
123,838,173,301,181,830,434,319,558,821,463,315,732,829,724,306, 94,
824,811,314,674,815)(210,825,347,309,239,826,231,303,326,831,260,304)
(216,332,338,251,246,217)(222,245,333)(297,819,840,318) ] ],
[ 4, 156353510307879738610420548401458043502293692710912000000000000, 0,
"4c", [ [ 56, 1 ], [ 784, 1 ] ], 1, "Sym(29) wreath 2", [ "A", 29, 2 ],
[ ( 1,832,697, 20,813,716)( 2,837,718, 5,824,722, 23,825,711, 28,815,717)
( 3,833,698, 25,834,701, 12,838,719, 13,827,724)( 4,831,703, 9,826,
704, 6,823,706, 18,836,725, 27,829,700, 19,819,705, 14,820,702, 11,
822,714, 24,841,723, 17,816,715, 7,821,710, 8,818,707, 10,830,720,
29,839,713)( 15,840,699, 21,814,721, 22,817,708, 26,835,709)
( 16,828,712)( 30,803, 59,484,117,165,668,281,639,310,755,194,494,629,
726,223,407,397,233,542, 88,455,320,571,581, 49,784, 78,465,136,146,
687,262,658,291,774,175,513,610,745,204,426,378,252,523,107,436,339,
552,600)( 31,808, 80,469,128,171,690,274,653,318,757,195,495,634,747,
208,418,403,255,535,102,463,322,572,582, 54,805, 63,476,142,168,680,
276,666,293,775,176,518,631,730,215,432,400,245,537,115,438,340,553,
605, 51,788, 70,490,139,158,682,289,641,311,756,199,515,614,737,229,
429,390,247,550, 90,456,321,576,602, 34,795, 84,487,129,160,695,264,
659,292,779,196,498,621,751,226,419,392,260,525,108,437,344,573,585,
41,809, 81,477,131,173,670,282,640,315,776,179,505,635,748,216,421,
405,235,543, 89,460,341,556,592, 55,806, 71,479,144,148,688,263,663,
312,759,186,519,632,738,218,434,380,253,524,112,457,324,563,606, 52,
796, 73,492,119,166,669,286,660,295,766,200,516,622,740,231,409,398,
234,547,109,440,331,577,603, 42,798, 86,467,137,147,692,283,643,302,
780,197,506,624,753,206,427,379,257,544, 92,447,345,574,593, 44,811,
61,485,118,170,689,266,650,316,777,187,508,637,728,224,408,402,254,
527, 99,461,342,564,595, 57,786, 79,466,141,167,672,273,664,313,767,
189,521,612,746,205,431,399,237,534,113,458,332,566,608, 32,804, 60,
489,138,150,679,287,661,303,769,202,496,630,727,228,428,382,244,548,
110,448,334,579,583, 50,785, 83,486,121,157,693,284,651,305,782,177,
514,611,750,225,411,389,258,545,100,450,347,554,601)( 33,802, 65,473,
130,153,673,272,648,308,778,203,520,626,729,222,413,386,246,530, 93,
446,329,569,604, 58,810, 75,468,135,152,676,275,646,296,765,184,511,
633,754,230,423,381,251,529, 96,449,327,557,591, 39,801, 82,493,143,
162,671,280,645,299,768,182,499,620,735,221,430,406,259,539, 91,454,
326,560,594, 37,789, 69,474,134,169,696,288,655,294,773,181,502,623,
733,209,417,387,250,546,116,462,336,555,599, 36,792, 72,472,122,156,
677,279,662,319,781,191,497,628,732,212,420,385,238,533, 97,453,343,
580,607, 46,787, 77,471,125,159,675,267,649,300,772,198,522,636,742,
207,425,384,241,536, 95,441,330,561,598, 53,812, 85,481,120,164,674,
270,652,298,760,185,503,627,749,232,433,394,236,541, 94,444,333,559,
586, 40,793, 76,488,145,172,684,265,657,297,763,188,501,615,736,213,
424,401,261,549,104,439,338,558,589, 43,791, 64,475,126,163,691,290,
665,307,758,193,500,618,739,211,412,388,242,540,111,464,346,568,584,
48,790, 67,478,124,151,678,271,656,314,783,201,510,613,744,210,415,
391,240,528, 98,445,337,575,609, 56,800, 62,483,123,154,681,269,644,
301,764,192,517,638,752,220,410,396,239,531,101,443,325,562,590, 47,
807, 87,491,133,149,686,268,647,304,762,180,504,619,743,227,435,404,
249,526,106,442,328,565,588, 35,794, 68,482,140,174,694,278,642,309,
761,183,507,617,731,214,416,395,256,551,114,452,323,570,587, 38,797,
66,470,127,155,685,285,667,317,771,178,512,616,734,217,414,383,243,
532,105,459,348,578,597)( 45,799, 74,480,132,161,683,277,654,306,770,
190,509,625,741,219,422,393,248,538,103,451,335,567,596)(349,368)
(350,373,370,353,360,374,371,361,363,376,351,369)(352,367,355,357,362,
356,354,359,358,366,372,377,375,365),
( 1,551,729,501,138, 93,277,429,333,194, 18,667,736,240,135,151,285,
806,322,571, 21,841,750,588,118,673,271,487,324,310, 27,464,737,704,
117,528,265,516,341,107, 16,435,739,182,134,644,272,255,338,165, 24,
812,728,559,137,818,286,603,321,687, 10,493,730,298,143,441,273,719,
320,542, 4,522,747, 95,132,412,275,197,337,658, 11,261,744,153,140,
789,264,574,340,832, 25,609,727,675,126,470,266,313,346,455, 12,725,
726,530,120,499,283,110,335,426, 14,203,743,646,127,238,280,168,343,
803, 3,580,746,820,141,586,263,690,329,484, 5,319,752,443,128,702,
262,545,323,513, 22,116,741,414,130,180,279,661,330,252, 19,174,749,
791,119,557,282,835,344,600, 2,696,735,472,121,296,288,458,331,716)
( 6,290,748,327,136)( 7,232,740,762,123,209,276,777,326,223, 15,783,
732,211,131,760,268,226,334,774)( 8,145,731,269,139,325,281, 23,348,
745)( 9,377,738,385,125,354,274,400,328,368, 13,406,734,356,129,383,
270,371,332,397)( 17, 58,753, 66,133, 35,289, 81,336, 49, 28, 87,742,
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423, 43,202, 76,655, 40,260, 77,162, 53,811, 61,568, 50,840, 83,597,
31,695, 68,481, 34,318, 85,452, 41,724, 59,539, 33,521, 80,104, 45,
434, 72,191, 47,666, 69,249, 48,173, 82,800, 32,579, 79,829, 54,608,
60,684, 39,492, 63,307, 56,463, 70,713)( 36,231, 73,771)
( 38,376, 71,394)( 42,405, 67,365)( 44,782, 65,220)( 46, 57, 86, 75)
( 55,637, 84,626)( 88,538,410,507,196,105,654,417,246,193,163,662,794,
235,570,166,836,808,583,553,688,822,489,585,292,694,445,476,701,291,
549,439,505,718)( 89,683,416,478,179,308,665,446,244,715,146,546,787,
496,573,108,828,431,594,176,685,648,475,237,309,172,459,795,699,552,
543,816,518,602)( 90,567,427,826,199,598,640,678,242,483,150,314,810,
438,563,717,813,547,584,495,689, 97,480,411,304,201,453,650,707,233,
541,149,517,805)( 91,509,428,101,190,424,652,185,250,657,156,256,802,
148,575,804,815,576,601,814,692,590,466,672,300,491,440,302,723,436,
534,700,494,544)( 92,306,433,449,186,714,639,533,236,512,167,111,799,
409,565,195,830,663,591,234,686,155,488,788,293,578,456,824,721,581,
524,671,503,486)( 94,219,421,768,181,221,653,765,239,222,160,778,790,
206,566,775,819,228,595,756,674,213,479,759,297,230,450,766,703,204,
537,758,500,225,102,770,413,217,189,772,645,214,247,773,152,227,798,
757,558,224,827,779,587,205,682,764,471,208,305,781,442,215,711,755,
529,207,508,776)( 96,364,419,391,183,366,651,388,241,367,158,401,792,
351,564,398,821,373,593,379,676,358,477,382,299,375,448,389,705,349,
535,381,502,370,100,393,415,362,187,395,647,359,245,396,154,372,796,
380,560,369,825,402,589,350,680,387,473,353,303,404,444,360,709,378,
531,352,506,399)( 98,248,425,159,198,801,641,562,253,831,170,604,785,
670,561,485,817,315,607,437,679,706,465,527,294,520,457, 99,712,407,
536,178,511,660)(103,422,420,188,192,656,649,243,251,164,169,807,786,
554,572,833,837,605,582,669,677,474,469,295,317,462,447,708,697,523,
526,497,515,109)(106,161,430,797,177,569,659,823,257,599,147,691,793,
467,556,311,839,460,592,698,668,532,468,498,312,114,451,418,710,175,
540,642,504,254)(112,596,408,681,184,482,643,301,259,454,157,720,784,
525,555,514,834)(113,625,432,623,200,627,664,620,258,628,171,633,809,
612,577,630,838,634,606,611,693,619,490,614,316,636,461,621,722,610,
548,613,519,631)(210,218,769,761)(212,363,767,384)(216,392,763,355)
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490, 59,165,102,636, 87,116,482,747,261,603,268, 4,184,110,492,515,
398,432,189,599,513,352,535,533, 46,519,760, 3, 98,462,720,178,645,
723,795,416,504,101,453,736,764,528, 74,592,357, 47,805,162,767,672,
66,680, 22,118,188,702,433,571,316,734,655,304,567,250,246,613,596,
758,128,651,444,457,194)( 5,570, 97,328, 79,689,248,303,772,417,518,
80,727,179,199,204,122, 25,773,249,374,647,345,630, 57,752,784,277,
18,714,607,397,709,484,211,783,446,597, 71,401,311,160,493,408,735,
555, 10,441,525,532,166,742,278,369, 76, 73, 50,638,512, 84,238,146,
148,329,375,394,475, 68,564,728,206,404,239,542,598,386,434,479,237,
670,226,621,675,637,195,839, 60,298,671,300,726,299,157,289,536,392,
414,247,448,208,802,151,306,218,141)( 6, 52,233,235,143,297,711,585,
331,308,305, 12,103,481,215,691,698,782,371,668,488,815,730,221, 70,
822,310,626,777,440,170,739,514,826,616,509,363,104,439,471,324,593,
36,576, 7,132,450,356,259,177,182,202,496,301,705,806,451, 78,133,
534,302, 53,284,653,376,240,163, 75,230,421,173,775,134,809,831,687,
92,224, 82,497, 81,552, 83,321,384,186,586,548,602,155,553,144,744,
789,837,625,681,142,819,175,495,659,313,748,829)( 9,452,759,609,191,
566,832,470,350,409,715,817, 58,644, 63,797,467,181,696,511,358,180,
517, 67,778,130,685,750,824,604, 41,105, 54,241,198,769,286,531,139,
818,662,274, 48,269, 16, 34,686,424, 93,594,665,522,841, 11,679,820,
716, 30,353,520,673,639,225,396,447,393,556,317,364, 61, 86, 37, 15,
575,547,660,674, 14,643,678,494, 20,478, 13,106,185,402,612,842,669,
721, 94,781,332,220,810,395,227,573,763, 44,111,127,664,526)
( 17, 64,667,830,776,827,156,584,550,703, 28,351,507,403,544,370,382,
701,558,629,288,799,537,347,365,112,333,107,561,405,242,692, 95,454,
183,140,327,276,340,619,399,473,538,251,445,314,706,201, 23,712,527,
200,756,426,318,579,323,406,508,814, 31,753,391,657,190,614,464,771,
372,697,559,254,270,337,460,650,154,828,413,161, 49,442,287,502,554,
381,611,821,196,275,368,745,361,729,545,580,367,549,563,676,648,366,
344,295,320)( 19,755,244,412,617,677,646,591,699,222,348,425,174, 72,
557,754, 85,125,505,260, 56,458,257,694,569,499,342,115,292,682,641,
751,373,234,205,480,615,282,214,684,640,788, 21,740,427,717,589,119,
516,169, 42,793, 90, 69,762,264,800,700, 91,236,491,713,581,693,355,
354,390,319,725, 43,540,380,330,229,485,326,109, 40,232,785,400,281,
838,172,808,267,780,108,138,129,388,477,816,231,601,565,618,436,749,
455,383,501,217,431,774)( 24,631,307,695,459,487,770,280,719,807,428,
500,578,203,503,761,283,378,463,704,335,690,688, 29,710,624,192,791,
825,708,731,271,197,377,113,620,120,476,741,265,294,587,279,216,322,
733,336,635,153,387,834,171,574,437, 35,486, 96,803,126,757,633,410,
213,223,343,595,661,801, 88,812,794,560,123,600, 32,245,379,187,766,
779,572,253,465,627,610,135,131,656, 77,568,489, 65,652,790,521,193,
263,359,543,315,551,456,219,418,334) ] ],
[ 2, 594822480, 0, "2", [ [ 841, 1 ] ], 3, "PGL(2, 29^2)",
[ "L", [ 2, 841 ], 1 ],
[ ( 1,285,757,610,750,672,724,660,453, 32,442,596,105,523,308,488,152,256,
528,666,499,161,461,545,164,333,789,126,780,343, 82,658,328,185,612,
426, 35,315,554,353,120,633,719,614,565,476,745,510,238,305,191,131,
713,335,344,642,357,621, 71, 48,437,797,200,390,501, 57,500,603, 12,
527,555,689,602,543,838,441,282,279,696, 3,150,591,181,652,171,768,
239,297,211,258, 56,616,800, 22,683,371,278,309,215,520,284,625,700,
623,649,104,121,580,840,274,195,378, 9,455, 73,485,251,492,549, 15,
577,723,295,266,810, 14,564,338,386,726, 4,812,823,334,473,803, 76,
329,477,145,399,253,808, 64, 55,255,752,622,611, 85,809,156,519,742,
370,547,760,664,743,593,841, 72,242,783,634,254,494,275,661,186, 47,
283,574,643,384,213,314,676,708,144, 43,766,594,811,635,490,248,107,
601,834,682,512,770,572,779,814,470,579, 46,804,398,628,169,671,403,
132,590,267,469,644,382, 18, 63,170,540,772,162,532,639,684,320, 58,
233,435,112,570,299, 31,533, 74,304,740,656,123,232,730,765,130,774,
190, 20,710,101,595,454,212, 67,733,108,778,659,558,836, 26,388,489,
318, 59,128,419,655,516, 41,427,208,448, 68,761,460,630,703,109,801,
38,784,155,332,802,183,546,735,617, 91, 80,792,447,647,638,736,449,
303,557,225,373,626,741,229,368,721,732,698,818,316,364,138,688,734,
436,407,821,125,687,153,210,451,217,629,247,693,324,507,428,704,122,
581,598, 53, 79, 2, 77,418,182,487,393,424,331, 19,680,744, 86,646,
444,491,405,463,776,531, 50,521,111,552,699, 6,423,420,261,706,159,
100, 13,147,175,690, 99,202,645,201,312,502,747,265,654,631, 81,345,
60,358,367,831,571,511,397,464,192,799,226,137, 88,825, 69,582,349,
148,387,667,276, 90,517,374, 44,620,359,764,576,755,369,538,157,241,
541,203, 36,174,446,550,214,394,179,597,106,260,670,249, 42,820, 30,
794, 92,787,417,701,204,632, 40,321,222,509,569,413,495,592,748,705,
539, 89,439,832,189,257,141,805,317,711,416,715,536,199,786,496,177,
483,127,505,372,637,341,135,819,457,822,790,114,599,675,762,246,236,
326,339,653,356,452,718, 29, 84,432,695,624,434, 61,160,692,298,425,
535,140,218, 83,196,168,472,450,608,479,389,209,117,694,737,352,291,
478,584,751,530,272,136,337, 24,791,307,336,668,165,294,355,310,149,
273,173,522,518,296,271, 39,481,375,604, 87,605,178,756,288,514, 54,
785,396, 21,686,244,227,281,731,400,627,606,116,143,467,194,589, 17,
482,360,319,433,771,560,837,391,465,720,412,769,379, 33,573,287,280,
243,228,438,443, 25,362,234,124,717,401,817, 93,828,830,763,486,798,
440,377,551,409,471,835,119, 11,544,240,102,728,497, 23, 62,563,354,
548,146,749, 51,410,198,402,322,665,607,134,777, 52,187,636, 28,587,
815,176, 45,702, 5,351,697,842,657,526,729,115,674, 66,515,650,767,
568, 95, 37,380,300,504,292,651,795,556,154,348,139,640,679,205,816,
600,462,158,691,583,709,231,293,151,325,262,746,216,781,714,716,609,
727,301,827,578,468,340,677,259,264,474,459,422,415,129,669,323,775,
290,824,237,311,707,142,773,269,383,342,220,685,113,508,235,559,586,
96, 75,302,813,421,475,458, 16,681,306,759,648,188,414,788,524, 97,
615, 98,327,221,663,431,406,184,180,529,429,553,392,347,408,537, 34,
366,395,753,678,365,566,430,172,793,118,224,411,350,807, 8,585,493,
313,223, 94,252,230,534,506,619,484,562,167,277,404, 10,542,641,268,
78, 7,270,618,673,826,250,346, 49,363,376,466,456,782, 27,103,588,
754,722,245,725,567,361, 65,330,197,575,219,525,206,758,503,166,829,
286,833,385,739,561,445,513,712,263,613,163,839,796,110,207,289,133,
193,480,381,662, 70,498),
( 1, 91, 20, 66,285,661,630,260,136,202,220,262,637,822,148,221,537,
258,379,339,383,729, 60,369,113, 37, 30,191,252,154,298,765,582,821,
764,278,499,535,710, 19,520,749,763,208,758,716,351,209,684,548,539,
525,640,297, 16,308,104, 12,803,735,708,796,110,727,408,371,397,173,
755,652, 50,585,170,135, 26,579, 27,464,336,788,251,668,496,490,232,
565,692,785,631,791,102,378,474,485,837, 10,798,536,770,172,159,156,
501,181,808,750,625,512,363,675,121,519,547,340,591,242, 63,745,605,
448,168,385,657,510, 78,629,345,283,396,757,810,616,596,705,431,774,
320,720,302,685,380,532, 22,289, 86,475,753, 18,368,250,127,826, 9,
600,361,824,124,573,147,139,334,243,153,438,704,206,738,678,786, 73,
74,292,606,171,529,230,776,793,552,240,204,680, 17,732,643,691,504,
264,492, 61,601,241,623,477,287,354,436,149,299,551,789,390,238,288,
394,370,831,792,195,645,103,265,270,503,176,841,200,695,835,128,725,
806,553,387,473,576, 76,443,357,261,145,726,152,395,131, 11,223,388,
313,597,389,567,480,358,681,607,196, 57,724, 70, 55,140,326,833, 38,
773,777,828,559,186, 54,444, 44,506,583,279,663,162,805,314,709,479,
400, 5,343,589,360, 23,101, 8,294,146,508,769,702,300,319,100,588,
165,655,577,167,622,471,333,544,274,470,405, 47,112,293,452,522, 59,
572,409,613,779,393,118, 24,505,778,608, 49,502, 45,687,248,424,322,
575,612,759,648,604,222,228,568, 62,311,133, 28,642,392,801,700,218,
382,150, 35,429,317,295,284, 51,571,762, 58,669,402,210,538,598,653,
435, 71,618,462,303,500,672,125,646,441, 32,130,253,187,197,739,122,
67,558,633,660,699,804,741,832, 21,586,602,246, 40, 96,263, 52,348,
494,446,272,481,105,812,489,111,636, 64,463,693,756,563,626, 14,413,
683,366,830,507,372,838,205, 31,825,129,425,214,381,437,231,717,733,
456,487,578,515,620,659,686,761,410,355,580,280,290,224,347,445, 36,
673,352,647,819,174, 15,701,406, 42,666,721,781,267, 75,650,419,557,
748,426,193,182,160, 48,442,327, 95,259,619,518, 85,677,449,344,166,
415,751,249,255,715,671,560,707,744,155, 53,229,632,432,817,428,711,
541,814,453,359, 84,540,706, 68,747,418,797, 25,184,365,430, 72, 7,
203,775,144, 6,697,310,742,664,312,731,377,158,177,617,550,811,331,
183,469,376,454,117,730,134,472, 77,840,610,163,514,315,656,198,736,
813,433, 33,423,291,760,491,542,546,439,486,151,337,422,407,595,420,
281,712,638,119,839,752, 88,722,164, 89,254,466,346, 82,325,593,332,
216,120, 34,401,743, 4, 90,766,513,594,349,484,624,277,478,301,816,
207,212,374,674,282,527,488,107, 83,189,239, 87,530,768,178,328, 41,
123,190,842,696,236,718,416,827,213,815,628,676,587,460,639,273,237,
767,526,543,247,790,306,713,185,403,404,533,641,581,271,615, 39,324,
234,143,338,330,746,353,495,116,719,468,493,350,227,109,459,566, 2,
391,188,455,787, 97,634,175,599,157,545, 46,614,723,703,509,562, 81,
194,132,690,399,809,662, 92,309, 29,714,574,414,235,728,137,772,800,
356,644,114,807,694,569,511,296,818,321,318,305,549,783,521,467,482,
834, 3, 99,375,528,688,534,627,754,245,829,823,651,226,531,141, 13,
450,740,451,342,307,734,427,667,564,304, 80,106, 69,592,367,523,611,
584,516,465,373,169,461,180,679,794,780,771,635,268,126,603,561,269,
556,570,799,458,609,784,820,199,555,498,737,554,179,323,225,286,447,
440,364,108,417,590, 94,138, 98,219,782,256,329,497,682,215,257,275,
341,217,689,658,192,411,457,386,476,795,421,698,233,161, 79,434,335,
115,836,276,266, 65,665,802, 93,670,649,384,517,654,412,211,201,483,
362,142, 43,398,316,244,621, 56,524) ] ],
[ 3, 594822480, 0, "2", [ [ 841, 1 ] ], 2, "PSigmaL(2, 29^2)",
[ "L", [ 2, 841 ], 1 ],
[ ( 1,689,593,478,537,358,197, 83,462,289, 19,322,818, 38,521,550,710,717,
185,780,642,250,465,810,529,766, 31,832,500, 34,108,444,804,511,416,
663,558,356,240, 99,467,791,348, 20,795,137,215,111,263, 9,591,442,
254,762,596, 84,342,701)( 2,172,335,608,166,209, 44,700,367,503,483,
316,114,760,698,294,284,623,759,815,308,150,822,207,837, 16,692,450,
156,221, 64,245,834,685,679, 96,241,805,665,259,633,520,178,257,321,
370,267,493,517,634,163,548, 94,674,302,788,733,592)( 3,272,736,155,
471,638,438, 82, 67,421,196,572,536,728,428,338,742,235,397,473,376,
618,176,292,177,205,441,755,735,489,334,437,456,829,474,275,553,194,
524, 81,578,635,359,190,484,828, 35,182,388,675,669, 63,170, 5,243,
720,515,705)( 4,789, 95,605,286,293,472,332,313,590,631,317, 91,452,
200,206, 11,181,787,786,261,361,157,561,402,354,542,136, 51,141,658,
486,364, 39,230,781, 7, 41,683,741,562,800,328,568, 98,629,228,436,
714,470,382,817,616,133,744,105,580,122)( 6, 80,567,793,811,835,307,
730,425,201,380,285,636,244, 8,464,371,278,785,530,821,513,203,657,
601,395,139,159,668,264,684,599,739,419,541,745,751,709,613, 72,502,
497,130,475,807,481,504,750,531,249,545, 76,455,575, 55,337, 85,519)
( 10, 90,688,559,816, 61,208,125,718,790,362,405,492,722,262, 69, 28,
614,749,571,583,128,360,393,226, 53,774,839,539,589, 48,248,188,836,
433,336,329,841,645,327,579,375,390,637,499,242,801,123,277,350,118,
32,304,174,495,628,586,482)( 12,271, 66,260, 37,142,116,237,134,754,
256,365,697,761,149, 57,413,324,414,703,214,711,193,557,690,410,162,
826, 54,372,394,432,523,802,152, 47,119,532,696,594,587,415, 75,227,
347,563,420, 13,763, 24,202,300,555,694,106,423,231,569)
( 14,389,399,702,403,597,251,639,279,510,398, 71,560,253,351, 15,131,
514,812,341,659,682,179,109,144,115,516, 93,648,518,713,723,164,687,
357,171,724,833,366,326,127,431, 50,195,480,775,132, 77,173, 60,386,
312,686,126,656,346,265,305)( 17,296,374,672,544,274,640, 87,806,732,
443,381,525,824,466,418,281,840, 26,644,653,758,102, 42,299,798,217,
97,303,220,276,333,813, 70,320,331, 78,627,198,494,725,747,461,345,
422,369,778,140,439,574,368,383, 89,440,664,617,771,809)
( 18,509,169,396,508,315,794,603,435,153,318,101,727,677,712,385,585,
298,527,814,757,117,408,355,604,252,400,704,797)( 21,501,167,222,738,
151,290,654,566,168,577,129, 27,707,363,392,175,512,838,270, 58,619,
543,314,630,287,158,373,218,291,606,488,180,779, 33,564,721,309,729,
124,266, 65,533,147,671,626,225,792,678, 46,353,216,448,573,330,661,
319,768)( 22,598,632,526,691,434,549,740,651,595,551,610,104,282,449,
673,454,306,236,734, 29,476,229,107,646,223,409,546,384,424,138,255,
273,588,842,699,258,288,297,496,827,427,643, 73,468,323,485,269,457,
412,615,799,120,767,154,349,803,753)( 23,507,584,232,505,112,535,743,
135,731, 45,506, 59,670, 86,148,625,581,460,479, 88,453,819,570,681,
641, 49,491,693,234,748,769,764, 79,451,146,831,556,387,600,611,666,
647,622,219,340,582,652,796,715,210, 40,165,552,283,268,621,301)
( 25,238,820,469,379,343,401,650,772,295,624,782,429,247,280,121,184,
352,378,377,783,447, 56,706,430,344,199,445,765,777,752,100,830,662,
528, 68,756,487,113,103,825,522, 36,770, 43,490, 92,655,407,145,609,
246,404,726, 52,143,695,213)( 30,649,192,212,311,406,339,310,187,161,
191,808,576,660,325,189,776,211,746,612,204,565,417,737,458,538,110,
186,540,823,463,183,224,498,708,547,233,554,426,607,719,477,784,676,
74, 62,446,602,411,680,773,667,620,391,459,160,239,534),
( 1,746,181,639,414,426,433,793,759,245,129,729,577,275,587,423,365,
404,228,141,749,249,266,838,370,439, 34,828,123,115)( 2,410,565,767,
527,763,113,544,615,723,552,546,671,232,811,116,731,392,177,212,314,
574, 75,679, 21, 60,751,617,256,683)( 3,296,628,841,510,279,452,134,
831,708, 66,366,534,584,824,585,191,795,596,508,590,336,393,489,612,
738,579,490,359,775)( 4,471,572,626,785,687,432,201,727,507,670,813,
681,327,318,388,411,543,787,664, 24,764,445,107,529, 65,791,250,220,
350)( 5,126,779,125,211, 12,226,217, 70,262,406,165,307,771, 52,385,
792,840, 83,254,431,323, 79,497,555,358,783,298,799,571)
( 6,536,624,528,273,776, 28,589,789,207,499,421,839,477,161, 20,308,
260,352,205,403,620, 68,208,592,319,654,511, 55, 27)( 7,535,752,653,
797, 9,160,259, 47,672, 46,469,443, 37,716, 67,656, 69,517, 73,691,
128,760,466,174,556,629,669,243,805)( 8,819,337,242,686,154,357,380,
616,827,118,300,719,650,281,614,286, 64,618,635,121,324, 78,149,817,
698,293,740,413,369)( 10,282,722,127,119,602,636,832,405, 87,651,597,
743,796,810,709,456,547,140,736, 63,240, 15,523,434, 35,457,492,428,
812)( 11,802,175,622,515, 56,225,782,144,468,741,291,390,470,166,251,
117,247,360,604,422,331,104,397,611,112,662,335,706,440)
( 13,754, 41,152, 61,537,493,593,124,807,210,425,652,238,481,486,460,
478,284,145,313,503,371,695,453,806, 80,394,684,809)( 14,798,642,178,
553,627,142,351, 81,348, 29,500,568,192,712,136,526,757,185,301,114,
26,338,334,244,570,820,409,501,382)( 16, 40,269, 77, 84,447,630,253,
530,436,551,631,179,353,277,520,376,646,699,668,688,101,147,213,367,
607,689,455,395, 33)( 17,111,199,131,483,159,694,330,476, 92,133,561,
502,643,549,701, 42,730,309,554,821,533,200,362,747,804,482, 48,734,
521)( 18,778,772,233,195, 98,645,693,274,389,316,658, 23,685,690,566,
379,697,108,416,400,381,364, 82,714,150,187,299,634,377)
( 19,102,473,788,420,803,606,235,246,167, 72,215,613,231, 96,459,438,
93,294,583,667, 89,441,222,198,120,189,707,303,608)( 22,354, 90,599,
633,297,598,539,317,702,448,509,329,710,356,196,625,474,321,454, 74,
773,781,451,236,322,637,704,715,122)( 25,446,326,143,315, 91,638, 30,
737,461,835,372,463,158,484,513,384,194, 88,770,745,676,156, 58,619,
829,325,488,647,302)( 31,822,610,514,591,666,739,663,285,387,769,836,
221,216,588,632,375,605,268,444, 57,680,186,146,575,713,176,257,765,
36)( 32,657,558,328,204,677,271,164,363,601,609,721,378,197, 53, 94,
292, 51,162,396,586,728,557,733,580,295,157, 54,109,398)
( 38,563,735,241,173,560,718,540,239,818,524,304,276,505,525,312,678,
475,506,717,219,415,429,660,430, 50,648,310,306,692)( 39,224,538,237,
320,332,531,641,815,234,155,834,280,808,532,349,267,374,814,673,193,
270,705,172,130,252,465,311,512,184)( 43,682,255,777,581,790,600,830,
833,703,171,762, 49,842,138,744,644,341,748,640,265,665,786,206,649,
180,427,780,437,373)( 44,550, 99,518,103,724,105,674,135,516,545,472,
342,623,755,391,163,542,361,498,479,340,209,290,345,496,458,464,548,
86)( 45,227,732,603,202,696,522,333,137,344,491,287,774,582,278,229,
467,442,305,168,218,794,417,223, 85,485,182,569,412,148)
( 59,450,487,766,449, 62,170,355,758,188,263,800,151,261, 97,419,700,
272,837,750,283,784,203,495,343,289,462,258,399,675)( 71,567,346, 95,
368,132,494,139,661,559,383,407,578,801,761)( 76,183,401,562,100,504,
768,386,408,169,594,655,541,435,153,402,711,621,825,424,816,418,573,
823,347,190,720,480,576,106)(110,264,248,742,564,595,339,753,756,214,
725,826,519,659,230)(288,726) ] ],
[ 4, 594822480, 0, "2", [ [ 841, 1 ] ], 3, "PSL(2, 29^2).2_3",
[ "L", [ 2, 841 ], 1 ],
[ ( 1,271,270,300,306,342,474,466,143,668,253,650, 81,128,357,276,444,251,
312,153)( 2,671,629,541,750,754, 38,791, 82,199,181,591,537,416,643,
149,491,692,730,720)( 3,817,728,347,798,776,259,187,438, 85,395,691,
314,781,285,165,335,440,380,435)( 4,656,593, 94,244,428,658,421,797,
302,138,718,676,800,625,223,693,624,327,344)( 5,518,714,788,686,429,
409, 75,385,536, 13,322,775,842,743,340,809,669,401,274)
( 6,326,632,805, 90, 14,790,423,757,734,819,182,755,785,266,179,530,
422,475, 7)( 8, 29, 70, 99, 37,824,737,447,195,492,821,542,352,513,
297,432,561,389, 72,568)( 9, 49,504,744,564,489,137,458,751,196,372,
105,498,558,216,194, 78,698,490,256)( 10,443,392,126,387,227,662,268,
46,201,136,123,742,804,640,477, 51,652,480,116)( 11,602,653,833,160,
609,580,150,705,736,516,642,696,272,439,377,479,433, 34,514)
( 12,103, 95,675,167,832, 88,145,166,740,140,117,806,831,142,830,120,
410, 15,465)( 16,481,189,688,783,486,283,621,786,315,663, 25,506,570,
121,635,575,764,584,770)( 17, 74,673, 54,219,262,618,794,562,782,407,
24,538,281,607,295, 31,639,215,719)( 18,420, 84,265, 52,209,814,608,
442,154,418,810,141,612,113,796,822,220,426,289)( 19,309,569,553,524,
158,222,487,147,827,374,505,431,291,317,752,325,398,200, 39)
( 20,762,828,763, 59,543, 43,414,613,721, 69,495,681,235,277,238,446,
715,127,170)( 21,582,687,563,661,330,739,273,660,462,732,183,815,359,
812,726,707,162,685,801)( 22,507,501,213,820,260,405,339,648,672, 42,
205,645,452, 93,829,404, 40,813, 89)( 23,554,704,497,626,264,559,245,
600, 26,701,665,384,101,711,468,175,644,350,365)( 27,512,109,206,525,
341,406,139,399,346,733, 57,171, 63,483,192,203,257,604,802)
( 28,716,125,573,634,437,186,298, 80,288,221,250,792, 96,460,531,386,
552,703,756)( 30,394,169,450,583,555,234,185,823, 91,500,677,134,218,
202,836,151,225,689,313)( 32,282,371,623,535,430, 86,354,279,358,603,
540,261, 58, 98,363,226,373,301,777)( 33,598,565,307,773,617,753,761,
108,308,188,197,532,549,546,771,803,637, 45,412)( 35,533,606,130,747,
647,641,364,193,457,702,267,799,766,124,779,441,148,367,503)
( 36,152, 73,724,286,362,156,417,107,839,135,838,678,710,411, 87,236,
682,628,837)( 41,224,544,548, 44,741,638,292,811,456,243,795,252,526,
706,601,321,729,164,566)( 47,738,586,787,774,840,727,375,316,622,231,
155,723,488,232,567,217,614,476,320)( 48,334, 61,208,560,496,370,378,
463,615,180,767,697,246,294,178,324,508,679,528)( 50,556,454,674,464,
576,769,551,287,699,469,177,473,159,397,361,204,485,545,527)
( 53,445,241,408,780,402,351,461,610,713,595,345,104,585,596,376,511,
834,100,240)( 55,284,211, 64,436, 65,427,657,230,112,157,589,759,592,
239,332,522,106,144,413)( 56, 71,278,275,630,296,519,731, 66,577,210,
539,520,529,229,390,415,254,190,111)( 60,611,212,329,449,455,331, 76,
619,690,493,263,299,323,319,818,649,337,581,749)( 62,369,735,338,534,
83,651,778,163,571,133,129,578,633,304,269,636,722,712,631)
( 67,114,318,366,484,425,368,419,280,382,708,587,424,835,237,451, 79,
242,620,482)( 68,515,670,383,597,470,400,746,391,574,616,684,772,353,
683,521,305,557,588,826)( 77,509,198,760,825,207, 97,748,336,590,184,
403,290,119,646,547,745,459,789,343)( 92,448,765,494,115,655,191,478,
523,173,249,102,694,471,664,233,176,328,293,709)(110,700,132,381,255,
550,393,146,467,758,472,214,579,784,228,768,168,841,666,807)
(118,396,499,453,594,680,356,605,725,303,654,258,349,808,172,627,333,
502,379,510)(122,659,247,599,667,248,174,355,816,360,793,434,348,572,
388,695,131,717,311,161)(310,517),
( 1, 22,481,764,290,662,839,791,283,833,319,114,620,586,710,253,420,
606,123,331, 17,594,301,547,603,838, 38,143,273,247,146,230,218,784,
526,251,348,505,716,257,343,789,264,567,571,414, 92,416,190,591,806,
589, 44,492,430,129,250,170, 21,614,472,510,100,680,545,509,350,195,
548,198, 58,521,375,294,323,235,655,592,485,733,788,821,239,776,645,
642,122,564,827, 37,515,755,248,182,463,371,150,675,840,360,832,711,
60,149,841,365,696,678,706,713,249,732,386,753,824,646,363,342,794,
767, 16,292,572,196,277,588,202, 88,737,274,661,138,284,229,152,479,
623,258,823,207, 87, 90,669,316,346,332,440, 83,370,601, 61,404,647,
66,460,437,835,724,811, 4,777,632,104,187,740,337,508,455,227, 31,
657, 15,330,169,325,746,117,634,493, 80,517,261,232,707,792,415,617,
367,562, 10,692,205,452,570,442,691,649,252,407,816,424, 75, 35,535,
269,219,336,494,566,765,217,156, 41,629,136,428,132,300, 67,192,231,
502, 18, 40,576,244,702,340,106,320,582,297,658,471,800,425,837, 65,
810,772,667,102,722,184,735,191,328,672,587, 91,441,256,541,296,743,
33,701,495,148,771,754,527,233,144,798,193,194,172,137,580,756,341,
734,739,752,178,311,744,130,758,768,786,418,366,659,648,712,762,552,
327,388, 27,608,475,520,747,631,793,676, 79,267,801,728,303, 25,686,
615,585,602,697,315,456,168,260,532,783,523,355,255, 23,621,163,139,
684,633, 32,639,595,447,654,773,665,699,395,751,638,338,185,555,719,
141,546,468,221,382,209,234,533,204,584,466,474, 14,115,831,627,225,
176,681,749, 81,748,379,787, 5,400,828,694,177,226,450, 95,519,534,
644,549,120,819,709,241,145,836, 63,742,419,206,376,427,781,529,482,
200,124,577,683,723,291, 89,538,536,409, 49,540, 8,384,175,457,333,
714,275, 57,279,445,161,668,504,458,210,385,489,796)( 2,551,286,814,
180,539,725, 50,435,559,525,189,826,312, 20,354,306,483, 13,381,664,
281,302,349,656,760, 93,687,641,477,142,700, 24,246, 28,431,812,688,
128,761,295,605,254,736,609,607,214, 12,422,462,568,179,103,663,616,
364,718,769, 97,726,403,240,309,158, 62,436,326,183,596,501,611,626,
208,695, 77,126,451,317,745,298,358,766,397,222,396,464,127, 78,518,
314,188,289,671,679,561, 99,612, 69, 94,763, 82,677,599,162,426,590,
118,807,507,394,750,446,480,372,491,698,550,506,271,512,461,164,140,
524,280, 48,790,622,362,613, 43,135,689,830,448,543,560,530,459,278,
842,417,344, 36,224,469,352,514,398,625,670,537,276,757,818,593,383,
433,497,486,779,727,359,377,387,173,401,834,125,393,406,411,804,389,
565,166,131,109,110,347,159, 70,618,391,374,155,650,444,270,402, 7,
604, 47,704,212,558,473,817,112,410,119,423,201,478,373,335,238,308,
720,345,674,487, 6,563,825,197,805,443, 59,569,263,285,643, 72,111,
236, 3,171,717,167,516,262,147, 86,380,579,651,809, 84, 34,610,268,
228,721,329,738, 51,496,454,703,575,693, 98,453,293,583,778,528,730,
353,438, 71, 42,628,223,652,511,186,399,820,134,815,288,488,272, 76,
690,637,808,405,116,199,513,368,299,334,421,310,708,685,237,498,741,
242,544,775,220,705,813,799,829,476,213,216, 96,322, 45,522,666,151,
74, 19,165,484, 29,408,215,101,557, 26,107,573, 11,287,378,351,803,
782,499,321,392,759,413, 54,432,439,467,449,780,304,154,243,434,313,
785,305,470,153,774,682,121, 55,390,630,266,318,581,181,503,500,369,
64,324,357,412,660,553,490, 68,822, 9,770,624,245,105,597,108,795,
636,600,465,203,635,673,531,282,133, 53,174,715,653,259,556,339,554,
113,729,211,731,574,578, 39,356,802, 46,429,640,797, 52,619,361, 85,
73,157, 56, 30,160,265,307,542,598) ] ],
[ 5, 1189644960, 0, "2", [ [ 841, 1 ] ], 3, "PGammaL(2, 29^2)",
[ "L", [ 2, 841 ], 1 ],
[ ( 1,638,306,151,506,747,298, 40,619,594,757,413,665,713,624,410,130, 64,
374,570,336,399,743,176, 7,418, 16,316,309,221,623,382, 36,216, 48,
483,210,252, 49,318,166,235, 53,763,366,729,363,609,771,631,656,458,
671,838,636, 3,542,224,462, 25)( 2,466, 29,832,596,134,132,666,572,
494,447,529,645,670,225,617,209,174,721,419, 57,236,560,120,143,259,
610,428,194,304,117,607,269,499,608,717,501, 58,183,637,101,642,297,
119,667, 35,367,519,558,192,801,160,523,708,314,175, 12,470,324,102)
( 4,327,733,767, 8,303,689, 28, 9, 55, 21,575,276, 45,590,585, 41,
376, 50, 98,156,341,563,532,525,232,769,602,275,798,234,716,142,398,
280,291,601,630,393,782,593,705, 56,289,437,756,357,339,263,842,228,
178,243,690,128,674,536,254,533,452)( 5,165,817,502,241,487, 51,396,
352,840,435,347,543,649,800,131,222,728,294,335,703,614,509,785,127,
153,144,104,378,693,472,212,722,598,401,179,373,369,584,409,360,338,
566, 91,362,557,571,288,650,321, 97,377,582,744,592, 13,672,123,272,
162)( 6,325,658,432, 82,766, 52, 80,627,673,227,109,307,514,317,164,
802,492,249,803,328,279,537,415,333, 90,539,172,315,479,526,493,498,
643,177,680,427,669,521,125,755,111,772,524,390,381,196,440,605,773,
677,777, 99,495,356,189,464,223,547,112)( 10, 94,659,353,528,278, 70,
30,738,587,730,457,706,553,274,505,811,313,295,150, 33,331,686, 18,
660,448,253,700,515,138,814, 74,695,554,731,697,704,423, 20,655,438,
679,652,355,684,310,389, 84,576, 23,110,145,159,562,538,456,478,657,
579,732)( 11,833,200,115,426,135,434,445, 92,507,450,567,388, 75, 60,
726,806,439,354,197,830,108,147,555,293,758,446,823,520,527,403,198,
26,661,322,651,267,444,121,284,349,203,149,534,343,488,265, 87,736,
358, 71,387,810,255,214,302, 65,154,822,340)( 14, 42,277,662,137,715,
827,208,783,600,283,245,613,826,408,639,308,140,146,217,475,681,516,
709,698,100,430,821, 38,391,569,504,468,207,580,422,129,264,540,287,
793,535,271,719,246,626,425,211,124,718,603,786, 86,463,816,326, 79,
105,417,300)( 15,819,599,133,794,467,573,574,436,787,113,676,181,710,
688,404,273,122,180,126,364,459,612,518,635,375,477,788,692,774,395,
230,508,219, 78,256,799,406,190,420,218,727,682,809,759,484,260,620,
73, 96,654,407,299,735,691,385,184,790,237,226)( 17, 95,152,618,748,
531,261,760, 32,548,675,107, 54,588, 61,551,441,334,268, 68,290,742,
170,386,136,668,664,629,581,837,647,251,416,185,683,350,517,118,678,
402,583,103,481,633,723,818,500,836,329,641,835,188,489,741,186,485,
486,148,305,205)( 19,320,469,421,201,361,383,740,424,789,753,323,591,
510,491,215,286,247,616,461,116, 37, 72,195,762,168,622,204, 43, 85,
482,384,820,646, 83,239,813,213,296, 24,775,604,474, 88,653,625,628,
193,106,169,359,161,770,829,319,371,431,240,330, 47)( 22,807,780,465,
257,473,262,699,841, 46,182, 77,400,834,292,685,595, 89,471,828,640,
163,779,634,663,556,480,750,725,550,282,778,229,632,370,577,405, 31,
233,496,765,379, 67,453,433,606,797,752,429, 69,724,545,191, 93,739,
839,707,511,380,449)( 27,578,621,611,546,342,805,808,167,561,242,490,
443,530,337,720,754,301, 34,687,815,206,589,795,544,746,220,114,244,
285,476,564,202,171,345,768,825,250,761,552,199, 59,451,503, 39,412,
568,397,749,734,586,737,394,776,346, 44,442,155,312,522)
( 62,392,270,454,231,764,513,784,157, 66,831,559,565,745,348,597,311,
644,792,512,351,541,139,812,368,411,281,365,804,696,694,615,751,455,
414,248,158,238,711,701,258,372, 63, 76, 81,141,266,344,796,791,497,
702,781,460,549,173,714,824,648,332)(187,712),
( 1, 56,300,807,683,575,460,118,633,274,207,789,579,177, 65, 80,386,
711,497,549,129,483, 23,589,734,263,387,283,273,680,620,335,701,471,
542, 28,643,382, 58,716,648,563,564,687,365,405,101,758,741,725,626,
755,190, 8,199,484,292,824,651,707,202, 11,319,523,258,350,510,224,
143,759,747,305,638,696,569,185, 98,107,811,727,311,538,607,719,809,
768,540,164,360,673,142,546,158,404,221,503,742,624,582,459,649,205,
16,379,672,203,138,323,214,316,623,653,551,178,765,508,487,690, 85,
536,133,814,647,583,657,501,577,192,367,751,403,454,299,603, 22,317,
191,442,320, 91,271,309,457,336,749,652, 35,303,280,835,332,485, 17,
315, 12,132,794,737,831,131,149, 24,659,166,343,685,495,724,555,705,
598,464,594,715,641,739,778,384,171,600,262, 46,676,108,552,234,580,
414, 43,681, 72, 27,126,490,294,644,218,228,530,180,828,806,511,167,
419,358,183,488,110, 54,255,212,839,769,723,524,291,827, 7,410,160,
298,561,417,270,478,310,222,671, 31,418,486,366,236,256,518, 81, 9,
426,559,197,201,520,663,306,494,168,808,469,295,244, 25,792,467,308,
427,726,621,276, 41,275,699,482,782,145,799,179,378,364,752, 93,175,
293, 29,837,817,368,640,141,832)( 2, 68,474,615, 59,522,695,700,330,
220,733,235,140,631,584,325,176,596,783, 14,528,162, 99, 44,836, 21,
655,743, 6,157,388,361, 15,438,461,421,772,321,702, 60,661,346,446,
706,393,662,763, 73,150,348,628,515,154,774,124,249,431,698,674,102,
340,619,399,103,266, 45,375,740, 37,329,667,829,509,278,531,591,339,
605,296, 95,342, 70,688,281,376,504,762, 66,664, 67,529,745,479,326,
492,106,534,374,668,430,402,134, 82, 89,115,301, 13, 61,254,656,251,
4,216,506,392,689,135,137,215,784, 48,383,450,462,525,684,819,548,
277,412,571,634,646,713,206,312, 39,117,119,407,704,590, 38,250, 3,
440,842,193,241,795,139,165,172,120,694,666,428,722,562,148,604,770,
617,351,567,187,432,188,334,592,720,815,408,184,754,159,800,491,757,
505,565,818,587,267,429,767,217,356,721,209,830,151,697,477,756,152,
422,398,665, 5,130,322,100,581,468,748,104,181,333,434,703,390,650,
750,435,194,394,775,324,675,635,658,239,735,708, 97,248,353,441,233,
260,210,155, 92,568,240,313,500, 78,771,512,465,114, 19,363, 34,766,
396,401,574,195,481,622,186,252,543,539,466,744,451,616,170,812,286,
204,526,660,127,436,570, 50,810,284, 84,480,645,352,630,557,553)
( 10,801,627,288, 86,602,790,433,576, 53, 57,537,670,245,173,578,840,
18,730,610,678,223,425, 32,786,618,826,679,535,798, 94,686,247,269,
805,572,373,327,257, 42,841,200,144,608, 71,738,677, 87,585,290,268,
74,566, 26, 36,452,802,606,128,227,182,415,211,682,516, 20,544,146,
420,208,834,496, 83,712,318,357,455,381,502,632,498,391,541,372,601,
411,753, 88,437,230,105,123,265,359,302,122,242,781,237,611,764,261,
816,793,219,444,347,760,639,787,825,163,776,654, 63,779,232,493,797,
642,693,345,729, 62,519,595,439,513,449,282,121,560,169,406,609,588,
331, 76,545,443,473,780, 40,773,116, 51,424,717,238, 49,447,637,514,
472,354,593, 33,692, 96,550,112,423,736, 90,556,328,287,377,489,558,
785,369,285,147,156, 69,527,400,458,791,349,337,111, 30,586,746,838,
573,777,243, 52,389,445,272,804,612, 55,246, 64,341,470,371,355,338,
153,691,731,409,532,533,448,380,196,714,453,226,554,625,395,761,476,
416,823,813,709,833,362,507,231,613,125,547,599,385,710,174,189, 77,
517,307, 47,822,463,136,636,521,413,289,796,198,253,264,113,456,728,
279,259,225,803, 79,161,344,732,718, 75,297,109,314,614,397,821,213,
820,475,370,669,788,629,304,229) ] ],
[6, Factorial(842)/2,1,"2",[[841,1]],840, "Alt(842)", ["A",842, 1], "Alt"],
[7, Factorial(842),0,"2",[[841, 1]],842, "Sym(842)", ["A",842, 1], "Sym"]];
PRIMGRP[843]:=
[[1, Factorial(843)/2,1,"2",[[842,1]],841, "Alt(843)", ["A",843, 1], "Alt"],
[2, Factorial(843),0,"2",[[842, 1]],843, "Sym(843)", ["A",843, 1], "Sym"]];
PRIMGRP[844]:=
[[1, Factorial(844)/2,1,"2",[[843,1]],842, "Alt(844)", ["A",844, 1], "Alt"],
[2, Factorial(844),0,"2",[[843, 1]],844, "Sym(844)", ["A",844, 1], "Sym"]];
PRIMGRP[845]:=
[[1, Factorial(845)/2,1,"2",[[844,1]],843, "Alt(845)", ["A",845, 1], "Alt"],
[2, Factorial(845),0,"2",[[844, 1]],845, "Sym(845)", ["A",845, 1], "Sym"]];
PRIMGRP[846]:=
[[1, Factorial(846)/2,1,"2",[[845,1]],844, "Alt(846)", ["A",846, 1], "Alt"],
[2, Factorial(846),0,"2",[[845, 1]],846, "Sym(846)", ["A",846, 1], "Sym"]];
PRIMGRP[847]:=
[[1, Factorial(847)/2,1,"2",[[846,1]],845, "Alt(847)", ["A",847, 1], "Alt"],
[2, Factorial(847),0,"2",[[846, 1]],847, "Sym(847)", ["A",847, 1], "Sym"]];
PRIMGRP[848]:=
[[1, Factorial(848)/2,1,"2",[[847,1]],846, "Alt(848)", ["A",848, 1], "Alt"],
[2, Factorial(848),0,"2",[[847, 1]],848, "Sym(848)", ["A",848, 1], "Sym"]];
PRIMGRP[849]:=
[[1, Factorial(849)/2,1,"2",[[848,1]],847, "Alt(849)", ["A",849, 1], "Alt"],
[2, Factorial(849),0,"2",[[848, 1]],849, "Sym(849)", ["A",849, 1], "Sym"]];
PRIMGRP[850]:=
[[1, Factorial(850)/2,1,"2",[[849,1]],848, "Alt(850)", ["A",850, 1], "Alt"],
[2, Factorial(850),0,"2",[[849, 1]],850, "Sym(850)", ["A",850, 1], "Sym"]];