GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W id117.ae GAP library of id's Hans Ulrich Besche
##
ID_GROUP_TREE.next[117].next[1].next[5]:=
rec(
fp:= [ 52, 76, 88, 100, 136, 160, 172, 184, 196, 208, 220, 232, 256, 268,
280, 304, 316, 328, 340, 352, 376, 388, 400, 412, 424, 436, 448, 460, 472,
484, 496 ],
next:= [ rec(
desc:= [ 204002, 302005, 50206005, 208002 ],
fp:= [ 2, 15 ],
next:= [ rec(
fp:= [ 213299342205142849642028570227453200556343,
213299342205499546221428221319890467938615 ],
next:= [ 680, 681 ] ), rec(
fp:= [ 3427492892132500154154759319744658399543,
17490492245895729475908363565953486774460727,
17490492245896086172487763217045924041842999 ],
next:= [ 682, 683, 684 ] ) ],
pos:= [ 6, 9 ] ), rec(
desc:= [ 105004 ],
fp:= [ 16 ],
next:= [ rec(
fp:= [ 88286479442361757697558913519942754117366582583,
88286503142214849179810145261005882578249977143 ],
next:= [ 760, 759 ] ) ],
pos:= [ 5, 7 ] ), rec(
desc:= [ 104004, 106004 ],
fp:= [ 15, 54 ],
next:= [ rec(
fp:= [ 88407399478523239275969914997613024502992036151,
88407399483168447465219080470052409089146183991 ],
next:= [ 803, 802 ] ), rec(
fp:= [ 17324597255082277379967825039174342337585463,
17324601900290466629133297478558928491733303 ],
next:= [ 804, 805 ] ) ],
pos:= [ 4, 7 ] ), rec(
fp:= [ 26 ],
next:= [ rec(
fp:= [ 450526147043841923941450199563070047564626917920055,
450526147043843250883758168672903559241331232017719 ],
next:= [ 849, 848 ] ) ],
pos:= [ 7, 8 ] ), rec(
desc:= [ 103004 ],
fp:= [ 2 ],
next:= [ rec(
next:= [ 1028, 1029, 1030, 1032, 1033, 1034, 1035 ] ) ],
pos:= [ 3, 3, 4 ] ), rec(
desc:= [ 302005, 303007, 207003, 50607008 ],
fp:= [ 8, 32, 38 ],
next:= [ rec(
fp:= [ 3399631653863176785390242754989583715127,
3399631653863176785390243017996201052983 ],
next:= [ 1157, 1156 ] ), rec(
fp:= [ 3399631653863176785390242754714395429687,
71127425193108496404657226652497930308407 ],
next:= [ 1158, 1159 ] ), rec(
fp:= [ 17348320328883695122670992222378531504212791,
17348320328883695122670992222641538121550647 ],
next:= [ 1161, 1160 ] ) ],
pos:= [ 6, 8, 9 ] ), rec(
desc:= [ 105004, 50405006 ],
fp:= [ 7, 38 ],
next:= [ rec(
fp:= [ 3399631654398326503572434551448806574903,
3413564549167081975618023233460915620663 ],
next:= [ 1237, 1238 ] ), rec(
fp:= [ 17348320328884230272389174414174990727072567,
17348320328884765422107356607023476419283767 ],
next:= [ 1241, 1242 ] ) ],
pos:= [ 4, 6, 7 ] ), rec(
desc:= [ 105004, 302005, 208002, 207003, 50305005, 209003, 50606009 ],
fp:= [ 4, 5, 6, 8, 9, 35, 36, 41, 42 ],
next:= [ rec(
fp:= [ 241884104938541387791052730785856422982044471,
241884104938541387826029820434451394955954999 ],
next:= [ 1392, 1393 ] ), rec(
fp:= [ 17324611203447892081558841451706184201784119,
17324611203447892116535931100301156175694647,
88407399492471604941628160213975712425095580471,
88407399492471604941663137303624307397069490999,
88407399497115902968563397280168911335457147703,
88407399497115902968598360672112533291973069623,
88407399497115903019520051480119067397923916599,
88407399497115903019555014872062689354439838519 ],
next:= [ 1417, 1416, 1396, 1397, 1398, 1399, 1407, 1406 ] ), rec(
fp:= [ 47418299757305455292506455979875439594295,
47418299757305490269596104574847413504823,
241884104938541336834398530835700360515275575,
241884104938541336869375620484295332489186103 ],
next:= [ 1411, 1410, 1403, 1402 ] ), rec(
fp:= [ 17324611203447943038213041401862246668553015,
17324611203447943073190131050457218642463543 ],
next:= [ 1414, 1415 ] ), rec(
fp:= [ 88407399492471604890671506014025556362628811575,
88407399492471604890706483103674151334602722103 ],
next:= [ 1409, 1408 ] ), rec(
fp:= [ 47400373297774150462314260146660982770487,
47400373297774185439403908741632956681015 ],
next:= [ 1400, 1401 ] ), rec(
fp:= [ 3394985538594561053566525601767750224695,
3394985538594596030656174196739724135223 ],
next:= [ 1394, 1395 ] ), rec(
fp:= [ 17324593276988360776728649255872969744960311,
17324593276988360811705738904467941718870839 ],
next:= [ 1404, 1405 ] ), rec(
fp:= [ 17324593277898472099073707870713165199821623,
17324593277898472134037099814335121715743543 ],
next:= [ 1413, 1412 ] ) ],
pos:= [ 6, 10, 12 ] ), rec(
fp:= [ 3 ],
next:= [ rec(
fp:= [ 668932000371846238559122743522446135,
668932000476695321275069566696246071 ],
next:= [ 1534, 1533 ] ) ],
pos:= [ 3, 6, 7 ] ), rec(
desc:= [ 302006, 208003 ],
fp:= [ 8, 38 ],
next:= [ rec(
fp:= [ 669842111764083836798774313364179767,
669842111833983225276072195480046391 ],
next:= [ 1615, 1614 ] ), rec(
fp:= [ 669842111764083836798774038175894327,
3418203515522853283750608843569587505975,
3418203775554659666096255230337509182263 ],
next:= [ 1619, 1617, 1618 ] ) ],
pos:= [ 5, 7, 9 ] ), rec(
desc:= [ 302004, 206003 ],
fp:= [ 5, 38 ],
next:= [ rec(
next:= [ 1779, 1780 ] ), rec(
fp:= [ 3390343058064334243814981074769165634359,
3404271401562980016929739330631702104887,
17300920622701087491535380938880712590445367,
17300920622961119297917726585267480512121655 ],
next:= [ 1782, 1781, 1784, 1783 ] ) ],
pos:= [ 5, 6, 6 ] ), rec(
desc:= [ 302005, 207002 ],
fp:= [ 4, 5, 6, 8, 9, 39, 41, 42 ],
next:= [ rec(
next:= [ 1869, 1870 ] ), rec(
next:= [ 1883, 1884, 1885, 1886, 1891, 1892, 1893, 1894 ] ), rec(
next:= [ 1879, 1880, 1887, 1888 ] ), rec(
next:= [ 1873, 1874 ] ), rec(
next:= [ 1875, 1876 ] ), rec(
next:= [ 1877, 1878 ] ), rec(
next:= [ 1881, 1882, 1889, 1890 ] ), rec(
next:= [ 1871, 1872 ] ) ],
pos:= [ 5, 6, 8 ] ), rec(
desc:= [ 105004, 302004, 206002, 302007, 302009 ],
fp:= [ 32 ],
next:= [ rec(
fp:= [ 1820248158076497109822801264544567,
665291402142631413865661171767479095 ],
next:= [ 2039, 2036 ] ) ],
pos:= [ 2, 9, 10 ] ), rec(
desc:= [ 106004, 302004 ],
fp:= [ 49 ],
next:= [ rec(
fp:= [ 664381622318033476050833347314464567,
664381622667523569584836250164803383, 3390337727233989956144689814214485227319
, 3390337727234339446238223817117335566135 ],
next:= [ 2101, 2100, 2102, 2103 ] ) ],
pos:= [ 2, 6, 8 ] ), rec(
fp:= [ 13, 17, 18, 51 ],
next:= [ rec(
fp:= [ 130194461180019174743942269493303,
130194461180019174744286236934199 ],
next:= [ 2165, 2164 ] ), rec(
fp:= [ 130194461180019174744217457778743,
130194461181975989740362523205687 ],
next:= [ 2173, 2172 ] ), rec(
fp:= [ 663601348445734935930582587960713271,
663601348445736892745578733026140215 ],
next:= [ 2168, 2167 ] ), rec(
fp:= [ 178557988846351550539962769463, 178557988846351550608741924919 ],
next:= [ 2171, 2170 ] ) ],
pos:= [ 4, 4, 5 ] ), rec(
desc:= [ 105004, 50305006 ],
fp:= [ 38 ],
next:= [ rec(
fp:= [ 668931847431984250230830384974170935,
668931847431984250231093391591508791 ],
next:= [ 2327, 2324 ] ) ],
pos:= [ 3, 6, 7 ] ), rec(
fp:= [ 52, 56, 57 ],
next:= [ rec(
fp:= [ 130194286471684160780795971010615,
664381290820211038005311282838667319 ],
next:= [ 2418, 2414 ] ), rec(
fp:= [ 910289880327077585764538223591479,
664381443864881994341603183914811447 ],
next:= [ 2420, 2419 ] ), rec(
fp:= [ 4644428272353064457937472717903790135,
3390337727055536804662980584068858150967 ],
next:= [ 2417, 2415 ] ) ],
pos:= [ 4, 5, 6 ] ), rec(
fp:= [ 15 ],
next:= [ rec(
fp:= [ 130194356453236052355646677797687,
130194461302318768302469851597623 ],
next:= [ 2490, 2491 ] ) ],
pos:= [ 3, 4, 5 ] ), rec(
desc:= [ 106004, 302007, 209003 ],
fp:= [ 17, 18, 42, 64 ],
next:= [ rec(
fp:= [ 910137429780353933484024408427319,
910137429800900490943547595410231, 4644428119902517734285192186316049207,
4644428119902538280842651709503032119, 4644428170859171934235348248782818103,
4644428170859192480792807771969801015 ],
next:= [ 2559, 2560, 2552, 2553, 2563, 2564 ] ), rec(
fp:= [ 664381291414335270689322670099647287,
664381291414355817246782193286630199, 3390337726903086257939328303537270410039
, 3390337726903086278485885763060457392951,
3390337726954042912139278459599737178935,
3390337726954042932685835919122924161847 ],
next:= [ 2555, 2554, 2562, 2561, 2566, 2565 ] ), rec(
fp:= [ 664381291414335270689322652327070519,
664381291414355817246782175514053431 ],
next:= [ 2550, 2551 ] ), rec(
fp:= [ 910137429780353933484006635850551,
910137429800900490943529822833463 ],
next:= [ 2557, 2556 ] ) ],
pos:= [ 6, 7, 10 ] ), rec(
desc:= [ 107004, 302006, 208002, 50204005, 210002 ],
fp:= [ 17, 35, 39 ],
next:= [ rec(
fp:= [ 9288726197794402154259780174730873655,
9288726197794422700817239697917856567,
3394982024980978142359302891525685234487,
3394982024980978162905860351048872217399 ],
next:= [ 2692, 2691, 2686, 2685 ] ), rec(
fp:= [ 1820248752118566379557217677200183,
1820248752139112937016740864183095 ],
next:= [ 2687, 2688 ] ), rec(
fp:= [ 665291402736673483135395863368420151,
665291402736694029692855386555403063 ],
next:= [ 2683, 2682 ] ) ],
pos:= [ 6, 8, 10 ] ), rec(
desc:= [ 302005, 207002 ],
fp:= [ 18, 38 ],
next:= [ rec(
next:= [ 2971, 2970 ] ), rec(
fp:= [ 665291555082493402194742272686246711,
3394982025133323962278362237917230484279,
3394982025133428811361077395720552270647 ],
next:= [ 2974, 2973, 2969 ] ) ],
pos:= [ 5, 6, 7 ] ), rec(
desc:= [ 105004, 303005 ],
fp:= [ 16 ],
next:= [ rec(
next:= [ 3069, 3070 ] ) ],
pos:= [ 3, 6, 8 ] ), rec(
desc:= [ 105004, 303005 ],
fp:= [ 54 ],
next:= [ rec(
fp:= [ 3394982805764347063940955320776609347383,
3394982805764347063940955583783226685239 ],
next:= [ 3120, 3119 ] ) ],
pos:= [ 3, 6, 8 ] ), rec(
desc:= [ 206002 ],
fp:= [ 25, 27, 28, 29, 30, 59, 60 ],
next:= [ rec(
fp:= [ 17300897403811551070913312143671465009703991,
17300897406541885037934788940307247789206583 ],
next:= [ 3196, 3195 ] ), rec(
fp:= [ 88286459128199225925563177575049216938781928503,
88286459128201956259600098440323413610294635575 ],
next:= [ 3205, 3204 ] ), rec(
fp:= [ 88286479451650344120761645370148638040804781111,
88286479465583238303480651269580662093237939255 ],
next:= [ 3209, 3208 ] ), rec(
fp:= [ 450525800931200649897154786178977147097099757644855,
450525800931205294195232713013088676877512532257847,
450525800931214582791388461839076529277214657571895,
450525800931214582791388531738465006838103390776375 ],
next:= [ 3200, 3211, 3210, 3199 ] ), rec(
fp:= [ 88286479451650344069804991170198481978338012215,
88286479465583238303550550658058222981971143735 ],
next:= [ 3202, 3201 ] ), rec(
fp:= [ 617175908619426581873070038059363259863257803831,
617175908624070879950996872170893040276032416823 ],
next:= [ 3197, 3198 ] ), rec(
fp:= [ 120964064117280515967883687008625976224476215,
120964064117280566924537886958782038691245111 ],
next:= [ 3206, 3207 ] ) ],
pos:= [ 4, 5, 6 ] ), rec(
desc:= [ 104004 ],
fp:= [ 34, 64 ],
next:= [ rec(
next:= [ 3295, 3296 ] ), rec(
next:= [ 3298, 3299 ] ) ],
pos:= [ 3, 3, 4, 5 ] ), rec(
desc:= [ 104004, 302004, 302006 ],
fp:= [ 31, 33 ],
next:= [ rec(
fp:= [ 25688052662160092797958908727, 25688059511013368325539916599 ],
next:= [ 3372, 3373 ] ), rec(
fp:= [ 130041591243834983286200265632567,
130041591250683836561727846640439, 131085997949581992255951151065911,
131085997956430845531478732073783 ],
next:= [ 3377, 3376, 3375, 3374 ] ) ],
pos:= [ 2, 5, 6, 7 ] ), rec(
fp:= [ 39, 40 ],
next:= [ rec(
next:= [ 3471, 3472, 3474 ] ), rec(
next:= [ 3468, 3469 ] ) ],
pos:= [ 3, 4, 4, 5 ] ), rec(
desc:= [ 104004, 302004, 50304004, 206003 ],
fp:= [ 35, 41 ],
next:= [ rec(
fp:= [ 356701592761014127938074774327, 356701613307571587461261757239,
1820248128016880862820908065819447, 1820248128037427420280431252802359 ],
next:= [ 3624, 3625, 3630, 3631 ] ), rec(
fp:= [ 130372604783933837321615569783607,
130372604804480394781138756766519, 665291402112571797618659553757039415,
665291402112592344176119076944022327 ],
next:= [ 3626, 3627, 3632, 3633 ] ) ],
pos:= [ 5, 5, 6, 8 ] ), rec(
fp:= [ 44, 45 ],
next:= [ rec(
next:= [ 3831, 3832 ] ), rec(
next:= [ 3835, 3834 ] ) ],
pos:= [ 3, 3, 4, 4 ] ), rec(
desc:= [ 302005 ],
fp:= [ 51, 62 ],
next:= [ rec(
next:= [ 3920, 3921 ] ), rec(
fp:= [ 3390337727055362096283678935917759351607,
3390337987087168478629325322685681027895 ],
next:= [ 3923, 3922 ] ) ],
pos:= [ 2, 4, 6, 6 ] ), rec(
desc:= [ 105004 ],
fp:= [ 55, 60 ],
next:= [ rec(
next:= [ 4001, 4002 ] ), rec(
next:= [ 4006, 4007 ] ) ],
pos:= [ 3, 4, 5, 6 ] ) ] );