GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W id16758.z GAP library of id's Hans Ulrich Besche
##
ID_GROUP_TREE.next[16758]:=
rec(
fp:= [ 2514, 5792, 6090, 14761, 18916, 19083, 19732, 36596, 44434, 49284,
52095, 55114, 56030, 62222, 67201, 69573, 73811, 78409, 79929, 83845, 87749,
94150, 94190, 99174 ],
next:= [ 242, rec(
fp:= [ 90, 22261, 41043, 61615, 68994, 76726, 80524, 87432, 91832 ],
level:= 4,
next:= [ rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 135, 141 ] ), 254, 23, 107, 158, 35, rec(
desc:= [ 106002 ],
fp:= [ 18, 612 ],
next:= [ 125, 131 ] ), rec(
desc:= [ 107002 ],
fp:= [ 26, 1214 ],
next:= [ 239, 233 ] ), 147 ] ), 231, rec(
fp:= [ 1081, 4994, 5271, 5349, 8904, 11306, 11658, 18871, 20029, 27165,
28383, 31651, 32156, 33027, 33599, 33733, 37110, 39796, 41780, 49104, 49328,
50517, 50918, 51657, 52115, 52401, 55666, 57711, 59428, 59685, 62404, 64068,
66770, 69182, 74446, 78384, 78767, 80248, 86671, 86696, 89750, 91298, 91663,
92979 ],
level:= 4,
next:= [ rec(
desc:= [ 110002 ],
fp:= [ 17, 611 ],
next:= [ 58, 64 ] ), rec(
desc:= [ 107002 ],
fp:= [ 18, 612 ],
next:= [ 17, 21 ] ), rec(
fp:= [ 40209, 63915 ],
next:= [ rec(
desc:= [ 117011 ],
fp:= [ 18, 28 ],
next:= [ 37, 36 ] ), rec(
desc:= [ 117011 ],
fp:= [ 18, 28 ],
next:= [ 39, 38 ] ) ] ), rec(
desc:= [ 115011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 137, 136, rec(
desc:= [ 115031 ],
fp:= [ 126, 10828 ],
next:= [ 142, 143 ] ) ] ), 81, rec(
desc:= [ 113011 ],
fp:= [ 144, 12628 ],
next:= [ 148, 149 ] ), rec(
desc:= [ 106002 ],
fp:= [ 18, 612 ],
next:= [ 130, 134 ] ), rec(
desc:= [ 116011 ],
fp:= [ 144, 12628 ],
next:= [ 150, 151 ] ), 163, rec(
desc:= [ 117011 ],
fp:= [ 18, 28 ],
next:= [ 77, 76 ] ), rec(
desc:= [ 117011 ],
fp:= [ 58, 3622 ],
next:= [ 43, rec(
desc:= [ 117030 ],
fp:= [ 36, 46 ],
next:= [ rec(
fp:= [ 374267521063902528956301879813085931988759935969140108631,
375256338816985714006259955965085146020916506505377967447 ],
func:= 11,
next:= [ 41, 40 ],
pos:= [ 14, 15 ] ), 42 ] ) ] ), rec(
desc:= [ 118011 ],
fp:= [ 144, 12628 ],
next:= [ 159, 160 ] ), rec(
desc:= [ 113011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 129, 128, 133 ] ), rec(
desc:= [ 119011 ],
fp:= [ 106, 7234 ],
next:= [ 112, rec(
desc:= [ 119030 ],
fp:= [ 72, 82 ],
next:= [ 110, 111 ] ) ] ), rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 140, 146 ] ), rec(
desc:= [ 121011 ],
fp:= [ 52, 3616 ],
next:= [ 49, rec(
desc:= [ 121030 ],
fp:= [ 36, 46 ],
next:= [ rec(
fp:= [ 374267521063902526586765402696764823310380519442963721559,
375256338816985711636723478848764037342537089979201580375 ],
func:= 11,
next:= [ 51, 50 ],
pos:= [ 15, 17 ] ), 48 ] ) ] ), rec(
desc:= [ 108002 ],
fp:= [ 18, 612 ],
next:= [ 18, 22 ] ), rec(
desc:= [ 115011 ],
fp:= [ 288, 298, 25246 ],
next:= [ 237, 238, 232 ] ), rec(
desc:= [ 119011 ],
fp:= [ 36, 46 ],
next:= [ 45, 44 ] ), rec(
desc:= [ 109002 ],
fp:= [ 26, 1214 ],
next:= [ 104, 106 ] ), rec(
desc:= [ 110011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 127, 126, 132 ] ), rec(
desc:= [ 113011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 154, 153, 156 ] ), rec(
desc:= [ 116011 ],
fp:= [ 18, 28 ],
next:= [ 30, 29 ] ), rec(
desc:= [ 109002 ],
fp:= [ 17, 611 ],
next:= [ 57, 63 ] ), rec(
desc:= [ 118011 ],
fp:= [ 126, 136, 10828 ],
next:= [ rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 139, 145 ] ), 138, 144 ] ), 152, 70, rec(
desc:= [ 121011 ],
fp:= [ 36, 46 ],
next:= [ 109, 108 ] ), rec(
desc:= [ 120011 ],
fp:= [ 36, 46 ],
next:= [ 161, 162 ] ), 165, rec(
desc:= [ 112011 ],
fp:= [ 58, 3622 ],
next:= [ 28, rec(
desc:= [ 112030 ],
fp:= [ 36, 46 ],
next:= [ 26, 27 ] ) ] ), rec(
desc:= [ 108002 ],
fp:= [ 26, 1214 ],
next:= [ 73, 75 ] ), 86, 87, rec(
desc:= [ 116011 ],
fp:= [ 58, 3622 ],
next:= [ 80, rec(
desc:= [ 116018 ],
fp:= [ 36, 46 ],
next:= [ 79, 78 ] ) ] ), rec(
desc:= [ 120011 ],
fp:= [ 18, 28 ],
next:= [ 47, 46 ] ), rec(
desc:= [ 107002 ],
fp:= [ 26, 1214 ],
next:= [ 155, 157 ] ), 34, 52, 253, rec(
desc:= [ 115011 ],
fp:= [ 58, 3622 ],
next:= [ 33, rec(
desc:= [ 115030 ],
fp:= [ 36, 46 ],
next:= [ 31, 32 ] ) ] ), 164, rec(
desc:= [ 113011 ],
fp:= [ 18, 28 ],
next:= [ 25, 24 ] ), 69 ] ), 243, rec(
fp:= [ 6609, 55548 ],
level:= 4,
next:= [ 98, 1 ] ), 244, rec(
fp:= [ 43447, 77341 ],
level:= 4,
next:= [ 166, 90 ] ), rec(
fp:= [ 15955, 72229, 98298 ],
level:= 4,
next:= [ 113, 240, 257 ] ), rec(
fp:= [ 6297, 40123, 51431, 54940, 81521, 83513 ],
level:= 4,
next:= [ rec(
desc:= [ 107002 ],
fp:= [ 26, 1214 ],
next:= [ 212, 218 ] ), rec(
desc:= [ 107002 ],
fp:= [ 18, 612 ],
next:= [ 184, 190 ] ), 206, rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 194, 200 ] ), 248, 222 ] ), rec(
fp:= [ 3419, 25191, 25573, 29793, 42795, 49462, 49814, 53271, 60997,
62022, 63202, 76760, 80935, 82429, 86220, 87484, 90557, 91842 ],
level:= 4,
next:= [ 229, 247, rec(
desc:= [ 117011 ],
fp:= [ 36, 46 ],
next:= [ 226, 225 ] ), 228, rec(
desc:= [ 113011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 196, 195, rec(
desc:= [ 113031 ],
fp:= [ 126, 10828 ],
next:= [ 201, 202 ] ) ] ), rec(
desc:= [ 114011 ],
fp:= [ 144, 12628 ],
next:= [ 208, 207 ] ), rec(
desc:= [ 107002 ],
fp:= [ 18, 612 ],
next:= [ 189, 193 ] ), 227, rec(
desc:= [ 116011 ],
fp:= [ 144, 12628 ],
next:= [ 224, 223 ] ), rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 199, 205 ] ), rec(
desc:= [ 112011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 214, 213, 219 ] ), rec(
desc:= [ 115011 ],
fp:= [ 144, 12628 ],
next:= [ 210, 209 ] ), rec(
desc:= [ 113011 ],
fp:= [ 288, 298, 25246 ],
next:= [ 216, 215, 220 ] ), rec(
desc:= [ 107002 ],
fp:= [ 26, 1214 ],
next:= [ 217, 221 ] ), rec(
desc:= [ 115011 ],
fp:= [ 126, 136, 10828 ],
next:= [ rec(
desc:= [ 108002 ],
fp:= [ 17, 611 ],
next:= [ 198, 204 ] ), 197, 203 ] ), rec(
desc:= [ 111011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 186, 185, 191 ] ), 211, rec(
desc:= [ 112011 ],
fp:= [ 144, 154, 12628 ],
next:= [ 188, 187, 192 ] ) ] ), rec(
fp:= [ 46903, 59222, 97540 ],
level:= 4,
next:= [ 236, 114, 256 ] ), 252, rec(
fp:= [ 3223, 60904, 85762, 90393, 93903, 96298 ],
level:= 4,
next:= [ rec(
desc:= [ 118004 ],
fp:= [ 42, 3616 ],
next:= [ 4, 5 ] ), rec(
desc:= [ 116003 ],
fp:= [ 48, 4216 ],
next:= [ 3, 2 ] ), 11, 12, rec(
desc:= [ 119004 ],
fp:= [ 96, 8422 ],
next:= [ 99, 100 ] ), rec(
desc:= [ 118002 ],
fp:= [ 48, 4216 ],
next:= [ 8, 9 ] ) ] ), 230, rec(
fp:= [ 2222, 30479, 30802, 38231, 43121, 49853, 58403, 64767, 65524,
82085, 83399, 84972, 95021 ],
level:= 4,
next:= [ 7, 10, rec(
desc:= [ 121011 ],
fp:= [ 288, 25246 ],
next:= [ 235, 234 ] ), 119, rec(
desc:= [ 120011 ],
fp:= [ 126, 10828 ],
next:= [ 118, 117 ] ), rec(
desc:= [ 115011 ],
fp:= [ 144, 12628 ],
next:= [ 116, 115 ] ), 124, 255, 101, 123, 122, 6, rec(
desc:= [ 119011 ],
fp:= [ 144, 12628 ],
next:= [ 121, 120 ] ) ] ), rec(
fp:= [ 12446, 19352, 24068, 38982, 56300, 59926, 67995, 71548, 84321 ],
level:= 4,
next:= [ 175, rec(
desc:= [ 119011 ],
fp:= [ 288, 25246 ],
next:= [ 180, 179 ] ), rec(
desc:= [ 117011 ],
fp:= [ 144, 12628 ],
next:= [ 172, 171 ] ), 249, 182, 181, rec(
desc:= [ 119011 ],
fp:= [ 126, 10828 ],
next:= [ 174, 173 ] ), rec(
desc:= [ 118011 ],
fp:= [ 144, 12628 ],
next:= [ 178, 177 ] ), 183 ] ), rec(
fp:= [ 12690, 51008, 76790 ],
level:= 4,
next:= [ 170, 250, 176 ] ), 246, rec(
fp:= [ 26016, 29465, 29919, 54571, 66905, 73759 ],
level:= 4,
next:= [ 167, 97, rec(
desc:= [ 114011 ],
fp:= [ 58, 3622 ],
next:= [ 92, 91 ] ), 96, rec(
desc:= [ 115011 ],
fp:= [ 36, 46 ],
next:= [ 93, 94 ] ), 95 ] ), rec(
fp:= [ 134, 1736, 23405, 52019, 58443, 60875, 75460, 78973, 80182, 83669,
92496, 97659 ],
level:= 4,
next:= [ rec(
desc:= [ 117002 ],
fp:= [ 48, 4216 ],
next:= [ 82, 83 ] ), rec(
desc:= [ 111004 ],
fp:= [ 48, 58, 4216 ],
next:= [ 15, 16, 20 ] ), rec(
desc:= [ 116004 ],
fp:= [ 42, 52, 3616 ],
next:= [ rec(
desc:= [ 106002 ],
fp:= [ 17, 611 ],
next:= [ 55, 61 ] ), 56, 62 ] ), rec(
desc:= [ 118004 ],
fp:= [ 12, 22 ],
next:= [ 84, 85 ] ), rec(
desc:= [ 114004 ],
fp:= [ 48, 4216 ],
next:= [ 67, 68 ] ), rec(
desc:= [ 113004 ],
fp:= [ 96, 106, 8422 ],
next:= [ 102, 103, 105 ] ), rec(
desc:= [ 110003 ],
fp:= [ 48, 58, 4216 ],
next:= [ 14, 13, 19 ] ), 88, rec(
desc:= [ 112002 ],
fp:= [ 48, 58, 4216 ],
next:= [ 71, 72, 74 ] ), rec(
desc:= [ 113003 ],
fp:= [ 48, 4216 ],
next:= [ 66, 65 ] ), 89, rec(
desc:= [ 114004 ],
fp:= [ 48, 58, 4216 ],
next:= [ 53, 54, rec(
desc:= [ 114003 ],
fp:= [ 42, 3616 ],
next:= [ 60, 59 ] ) ] ) ] ), 241, rec(
fp:= [ 61144, 74825, 92143 ],
level:= 4,
next:= [ 169, 251, 168 ] ), 245 ] );