id117.ag

#############################################################################
##
#W  id117.ag               GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[117].next[1].next[7]:=
rec(
  fp:= [ 30, 42, 54, 66, 78, 90, 114, 126, 150, 162, 174, 186, 198, 210, 222, 
234, 258, 282, 306, 318, 330, 342, 354, 366, 378, 390, 402, 414, 426, 438, 
450, 474, 486 ],
  next:= [ rec(
    fp:= [ 34 ],
    next:= [ rec(
      fp:= [ 3394982805230560383834072148052842242359, 
3394982805230560383834072148053953028407, 
3394983715341882722043834501741678895415 ],
      next:= [ 576, 577, 578 ] ) ],
    pos:= [ 6, 6 ] ), rec(
    desc:= [ 302005, 107004, 206004 ],
    fp:= [ 15, 54 ],
    next:= [ rec(
      fp:= [ 3473935873089767288027493550614285508919, 
3478580171167659172444784419079384850743 ],
      next:= [ 631, 632 ] ), rec(
      fp:= [ 17727490776810730686012416409273724821430583, 
17751190629902212972193851711051126762758455 ],
      next:= [ 629, 628 ] ) ],
    pos:= [ 6, 8 ] ), rec(
    desc:= [ 204002 ],
    fp:= [ 15 ],
    next:= [ rec(
      fp:= [ 3427492892310848443854584865963292090679, 
3469291576617010010908632598116889387319 ],
      next:= [ 694, 695 ] ) ],
    pos:= [ 4, 6 ] ), rec(
    fp:= [ 63 ],
    next:= [ rec(
      fp:= [ 4644428272248584212034316139128998711, 
4644688304054966557680702907050674999 ],
      next:= [ 729, 728 ] ) ],
    pos:= [ 5, 6 ] ), rec(
    desc:= [ 204002 ],
    fp:= [ 31 ],
    next:= [ rec(
      fp:= [ 664381802274009110854230834581987639, 
664382158970588510505323271849369911 ],
      next:= [ 766, 767 ] ) ],
    pos:= [ 4, 6 ] ), rec(
    fp:= [ 16, 49, 55 ],
    next:= [ rec(
      fp:= [ 88286503151498105054642708857949628505975194167, 
88286503151498105232990998557775174724608885303, 
88407419801970847678775341460514459383412851255, 
88407419801970847857123631160340005602046542391 ],
      next:= [ 819, 813, 818, 812 ] ), rec(
      fp:= [ 17300902048108738933760968656638517630501431, 
17324597256902143363007679564073627255341623 ],
      next:= [ 817, 816 ] ), rec(
      fp:= [ 120987763965041500805601374759772779049943607, 
120987763965041679153891074585318997683634743 ],
      next:= [ 815, 814 ] ) ],
    pos:= [ 5, 10 ] ), rec(
    fp:= [ 31 ],
    next:= [ rec(
      fp:= [ 130194356336808245908298507673911, 
130372809475590787401340315164983 ],
      next:= [ 891, 892 ] ) ],
    pos:= [ 3, 3, 4 ] ), rec(
    desc:= [ 104004 ],
    fp:= [ 2, 32, 33 ],
    next:= [ rec(
      fp:= [ 131086482259336724478531785575223, 
663602240466827951185289917746498359, 663602240606606181581111125704559415, 
3386362230630930162121784102134688893751, 
3386362230630965104967170264568017832759, 
3386362230631139880833773455304223476535 ],
      next:= [ 977, 982, 981, 983, 980, 979 ] ), rec(
      fp:= [ 131086342433164359936461449579319, 
131086342440013212422969178573623, 131086482259336724478256597289783, 
131086552158725201776138713156407, 668931847781364762127153217063471927 ],
      next:= [ 973, 972, 975, 976, 978 ] ), rec(
      fp:= [ 131086342433164359936736637864759, 
131086622058113678022269547957047, 663602240326988081115775107140799287 ],
      next:= [ 970, 971, 974 ] ) ],
    pos:= [ 3, 5, 5 ] ), rec(
    desc:= [ 302005, 302007, 50305006, 209003 ],
    fp:= [ 4, 38 ],
    next:= [ rec(
      fp:= [ 664382157153313989049539179427875639, 
664382157258163071765486002601675575 ],
      next:= [ 1098, 1097 ] ), rec(
      fp:= [ 664382157153313989049538904239590199, 
3390337727768825236657688519771410352951 ],
      next:= [ 1101, 1102 ] ) ],
    pos:= [ 6, 8, 9 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 6, 38 ],
    next:= [ rec(
      fp:= [ 667112847921757100703376496429321015, 
669842646843902630513798903705848631 ],
      next:= [ 1176, 1177 ] ), rec(
      fp:= [ 667112847921757100703376221241035575, 
3404270882391108700737574288188453899063 ],
      next:= [ 1181, 1180 ] ) ],
    pos:= [ 4, 6, 7 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 8, 32, 38 ],
    next:= [ rec(
      fp:= [ 3418204295618342330176025302031229995831, 
3418205205729594768997310357836839996215 ],
      next:= [ 1269, 1270 ] ), rec(
      fp:= [ 17443096519759235017672812405987433651063607, 
17443096520019266824055158052374201572739895 ],
      next:= [ 1272, 1271 ] ), rec(
      fp:= [ 3418204295618342330176025301756041710391, 
165903616328680197788823056648167998835511 ],
      next:= [ 1274, 1273 ] ) ],
    pos:= [ 5, 7, 8 ] ), rec(
    desc:= [ 105004, 302005, 208002, 207003 ],
    fp:= [ 5, 7, 8, 36, 41, 42 ],
    next:= [ rec(
      fp:= [ 88649395371699353522398396234148145760785850679, 
88649395371699354235721655644973032753204748599, 
88649395371699613554204778579794532528707526967, 
88649395371699614267528037990619419521126424887, 
452377276896607622181864159439779653849301530370359, 
452377276896607622182577622497967433332058181001527 ],
      next:= [ 1445, 1446, 1450, 1449, 1435, 1436 ] ), rec(
      fp:= [ 88649442771405796518707242060578666682199236919, 
88649442771405797232170300248358149438849868087, 
452377276849207915998899656976298869715148038660407, 
452377276849207915999612980235709694602140457558327, 
452377276896607621921832353057434007462533608694071, 
452377311403593723380786232768379686054170913595703 ],
      next:= [ 1441, 1442, 1440, 1439, 1458, 1457 ] ), rec(
      fp:= [ 483879984166289968561288750958289758672314679, 
483879984166290681884548161783176751091212599, 
88649442771405536486900859714932279914277560631, 
88649442771405537200363917902711762670928191799, 
452377276849207915738867850593953223328380116984119, 
452377276849207915739581173853364048215372535882039 ],
      next:= [ 1451, 1452, 1460, 1459, 1453, 1454 ] ), rec(
      fp:= [ 17372015553929622670315448889793187348668727, 
17372015553930335993574859714680179767566647, 
17372024842525778384184893652109467156406583, 
17372024842526491847243081431592223807037751 ],
      next:= [ 1437, 1438, 1444, 1443 ] ), rec(
      fp:= [ 88649280197767571869455628440800252775085302071, 
88649280197767572582778887851625139767504199991 ],
      next:= [ 1447, 1448 ] ), rec(
      fp:= [ 88649280207056168025169497885562569054893039927, 
88649280207056168738632556073342051811543671095 ],
      next:= [ 1455, 1456 ] ) ],
    pos:= [ 7, 7, 10 ] ), rec(
    fp:= [ 3, 6, 8, 34 ],
    next:= [ rec(
      fp:= [ 18579925855808766558967903316798685239, 
18579925855808773409162512592802758711 ],
      next:= [ 1551, 1550 ] ), rec(
      fp:= [ 3404273224639002499241130952212630814775, 
3408917522716884391181301883132852387895 ],
      next:= [ 1544, 1543 ] ), rec(
      fp:= [ 17371992982261213996775882763103743431753783, 
17371992982261213996782732957713019435827255 ],
      next:= [ 1548, 1547 ] ), rec(
      fp:= [ 3404270621646328439492996970531409444919, 
3404270621646328446343191579807413518391 ],
      next:= [ 1546, 1545 ] ) ],
    pos:= [ 4, 4, 5 ] ), rec(
    desc:= [ 50303004 ],
    fp:= [ 3, 4, 5, 6, 7, 40, 41 ],
    next:= [ rec(
      fp:= [ 2730512944399811868785950377803831, 
2730512944401768683782095443230775 ],
      next:= [ 1630, 1631 ] ), rec(
      fp:= [ 666201666928954728624624596069023799, 
666201845277246385265166959768141879, 13933024428556229607277523684804952119, 
13933024428556231564092519829870379063 ],
      next:= [ 1637, 1638, 1633, 1634 ] ), rec(
      fp:= [ 3399626323211739969812320635035759312951, 
3399626323390088261468961177399458431031 ],
      next:= [ 1639, 1640 ] ), rec(
      fp:= [ 666201666928956685439620741134450743, 
666201845277244428450170814702714935 ],
      next:= [ 1642, 1641 ] ), rec(
      fp:= [ 3399626323211739971769135631180824739895, 
3399626323390088259512146181254393004087 ],
      next:= [ 1646, 1645 ] ), rec(
      fp:= [ 130550983133253936238069993603127, 
130551018082948174887011051536439 ],
      next:= [ 1635, 1636 ] ), rec(
      fp:= [ 666201513464969627654383495045611575, 
666201513499919321893032436103544887 ],
      next:= [ 1644, 1643 ] ) ],
    pos:= [ 3, 5, 6 ] ), rec(
    fp:= [ 7, 38 ],
    next:= [ rec(
      next:= [ 1791, 1792 ] ), rec(
      next:= [ 1793, 1794 ] ) ],
    pos:= [ 3, 4, 4 ] ), rec(
    fp:= [ 5, 7, 8, 41, 42 ],
    next:= [ rec(
      next:= [ 1904, 1917, 1905, 1915, 1914, 1916 ] ), rec(
      next:= [ 1908, 1920, 1921, 1898, 1909, 1899 ] ), rec(
      next:= [ 1903, 1913, 1912, 1902, 1923, 1922 ] ), rec(
      next:= [ 1911, 1919, 1910, 1907, 1918, 1906 ] ), rec(
      next:= [ 1900, 1901 ] ) ],
    pos:= [ 4, 5, 5 ] ), rec(
    desc:= [ 302005, 207003 ],
    fp:= [ 17, 32 ],
    next:= [ rec(
      fp:= [ 25513290516077699132434235447, 25548240210316348073492168759 ],
      next:= [ 2045, 2046 ] ), rec(
      fp:= [ 25513290516077698857245950007, 130194256487407975375622559318071
  ],
      next:= [ 2049, 2047 ] ) ],
    pos:= [ 5, 6, 8 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 15, 17, 53 ],
    next:= [ rec(
      fp:= [ 665291402736659785430422865683008311, 
665291402736666634282909373412002615 ],
      next:= [ 2187, 2186 ] ), rec(
      fp:= [ 9288726197794388456554807159272885047, 
9288726197794395305407293667001879351 ],
      next:= [ 2190, 2189 ] ), rec(
      fp:= [ 1820248752104868674584219991788343, 
1820248752111717527070727720782647 ],
      next:= [ 2193, 2192 ] ) ],
    pos:= [ 4, 5, 7 ] ), rec(
    fp:= [ 51, 52 ],
    next:= [ rec(
      fp:= [ 178557988867823410779425333303, 130194461180040646604181732057143
 ],
      next:= [ 2337, 2335 ] ), rec(
      fp:= [ 130194461180040646604456920342583, 
663601348445734957402442827423277111 ],
      next:= [ 2340, 2339 ] ) ],
    pos:= [ 4, 4, 6 ] ), rec(
    fp:= [ 54 ],
    next:= [ rec(
      fp:= [ 664381444284318417096724349249702711, 
3390337727055956241085735705216420465463 ],
      next:= [ 2431, 2428 ] ) ],
    pos:= [ 4, 5, 7 ] ), rec(
    fp:= [ 13, 14, 15, 42 ],
    next:= [ rec(
      fp:= [ 664381444144601826372492380195474231, 
664381444284325265949736559408270135 ],
      next:= [ 2499, 2500 ] ), rec(
      fp:= [ 664381622527841220436687815075384119, 
665291733815229735960392561743317815 ],
      next:= [ 2503, 2504 ] ), rec(
      next:= [ 2501, 2502 ] ), rec(
      next:= [ 2497, 2498 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    desc:= [ 105004, 302005, 302007, 209002 ],
    fp:= [ 18, 38 ],
    next:= [ rec(
      fp:= [ 664381622143394583811549464584735543, 
664381622283193360766145228816468791 ],
      next:= [ 2574, 2575 ] ), rec(
      fp:= [ 664381622143394583811549189396450103, 
3390337727233815317252450530056567212855 ],
      next:= [ 2573, 2578 ] ) ],
    pos:= [ 5, 8, 9 ] ), rec(
    fp:= [ 17, 18, 35, 41 ],
    next:= [ rec(
      fp:= [ 130194461180028569603595383332919, 
130194461180040648708509859045431 ],
      next:= [ 2713, 2714 ] ), rec(
      fp:= [ 663601348445734945325441965886267447, 
663601348445734957404546880361979959 ],
      next:= [ 2707, 2708 ] ), rec(
      fp:= [ 25513317899410118292000464951, 25513317911489223206476177463 ],
      next:= [ 2710, 2709 ] ), rec(
      fp:= [ 130041416509072233311694307188791, 
130041416509084312416608782901303 ],
      next:= [ 2704, 2705 ] ) ],
    pos:= [ 4, 4, 5 ] ), rec(
    desc:= [ 302005, 303007, 207003, 50507008 ],
    fp:= [ 32 ],
    next:= [ rec(
      fp:= [ 130372704742938561621115660258103, 
1820248227975885587120683344579383 ],
      next:= [ 2905, 2907 ] ) ],
    pos:= [ 5, 8, 9 ] ), rec(
    desc:= [ 302006, 303008, 208003 ],
    fp:= [ 17, 32 ],
    next:= [ rec(
      fp:= [ 130372704742938562410410700557111, 
130372704742938563199430552570679 ],
      next:= [ 2991, 2990 ] ), rec(
      fp:= [ 130372704742938562410135512271671, 
1820248227975885587909703196592951 ],
      next:= [ 2993, 2992 ] ) ],
    pos:= [ 5, 8, 9 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 16 ],
    next:= [ rec(
      next:= [ 3078, 3077 ] ) ],
    pos:= [ 4, 6, 8 ] ), rec(
    desc:= [ 105004, 302006 ],
    fp:= [ 53, 54 ],
    next:= [ rec(
      fp:= [ 17324593274255530562739023685591961978124087, 
17324593275165820268309778659654301666621239 ],
      next:= [ 3132, 3131 ] ), rec(
      fp:= [ 3394982805764347063940955320777755965239, 
3394983716054052634695929383117444462391 ],
      next:= [ 3135, 3134 ] ) ],
    pos:= [ 2, 6, 8 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 25, 27, 28, 29, 30, 46, 59, 60 ],
    next:= [ rec(
      fp:= [ 17300897403811551140812700620969347125570615, 
17300897404721662393251521906288159352908855, 
17300897406541885072884483179219195464477751, 
17300897406541885107834177417605129905073207 ],
      next:= [ 3240, 3248, 3247, 3239 ] ), rec(
      fp:= [ 88286459128199225925633076963526514820897795127, 
88286459128201956259565148746084764669236702263 ],
      next:= [ 3230, 3229 ] ), rec(
      fp:= [ 88286479451650344120831544758625935922920647735, 
88286479465583238303550550658057959975353805879 ],
      next:= [ 3234, 3233 ] ), rec(
      fp:= [ 450525800931200649897154856078365624394981873511479, 
450525800931205294195181791308582965370391123422263, 
450525800931205294195232678063394438228571474324535, 
450525800931214582791337575084265056419034306669623, 
450525800931214582791388461839076529540221274909751, 
450525800931214582791388531738465006575096773438519 ],
      next:= [ 3252, 3244, 3236, 3243, 3251, 3235 ] ), rec(
      fp:= [ 88286479451650344069874890558675779860453878839, 
88286479456294642198653529787439769512521460791, 
88286479465583238303480651269580925099855277111, 
88286479465583238303515600963819574040913210423 ],
      next:= [ 3254, 3246, 3253, 3245 ] ), rec(
      fp:= [ 120943740666162371795969480336658818784259127, 
120943740667072483118307690099275513127463991 ],
      next:= [ 3237, 3238 ] ), rec(
      fp:= [ 617175908619426581873139937447840557745373670455, 
617175908624070879950961922476654391334974483511 ],
      next:= [ 3231, 3232 ] ), rec(
      fp:= [ 120964064117280516037783075485923858340342839, 
120964064117280566994437275436079920807111735, 
120964068761578593859768104299757447941155895, 
120964073405876671821551910067923795156364343 ],
      next:= [ 3249, 3250, 3242, 3241 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    desc:= [ 302004 ],
    fp:= [ 32 ],
    next:= [ rec(
      fp:= [ 4999670368150552021909559, 5006519220637059750903863 ],
      next:= [ 3306, 3307 ] ) ],
    pos:= [ 2, 4, 4, 5 ] ), rec(
    desc:= [ 302004 ],
    fp:= [ 31, 33 ],
    next:= [ rec(
      fp:= [ 25513297342114098578322910007, 25548267582910207042567826231 ],
      next:= [ 3395, 3394 ] ), rec(
      fp:= [ 130041416488514937291980629633847, 
130041451458755733400444874550071 ],
      next:= [ 3396, 3397 ] ) ],
    pos:= [ 2, 4, 5, 5 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 38, 45, 46 ],
    next:= [ rec(
      next:= [ 3491, 3494 ] ), rec(
      next:= [ 3486, 3487 ] ), rec(
      next:= [ 3489, 3490 ] ) ],
    pos:= [ 4, 5, 6, 8 ] ), rec(
    desc:= [ 50203003, 205002 ],
    fp:= [ 39, 40, 41, 42, 43, 44, 45, 46 ],
    next:= [ rec(
      next:= [ 3842, 3843, 3871 ] ), rec(
      next:= [ 3857, 3858 ] ), rec(
      next:= [ 3846, 3851, 3852, 3869, 3870, 3872, 3873, 3874, 3875 ] ), rec(
      next:= [ 3863, 3864, 3882, 3883 ] ), rec(
      next:= [ 3847, 3848, 3849, 3850, 3867, 3868, 3878 ] ), rec(
      next:= [ 3859, 3860, 3861, 3862, 3879, 3880 ] ), rec(
      next:= [ 3855, 3856, 3876, 3877 ] ), rec(
      next:= [ 3840, 3841, 3844, 3845, 3853, 3854, 3865, 3866 ] ) ],
    pos:= [ 4, 4, 5, 6 ] ), rec(
    desc:= [ 302005 ],
    fp:= [ 53 ],
    next:= [ rec(
      fp:= [ 25548233345357862335520784439, 25548240194210348843249778743 ],
      next:= [ 3933, 3932 ] ) ],
    pos:= [ 2, 4, 5, 6 ] ) ] );