id117.aa

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

ID_GROUP_TREE.next[117].next[1].next[1]:=
rec(
  fp:= [ 36, 48, 60, 72, 108, 120, 132, 144, 156, 168, 180, 192, 204, 228, 
240, 252, 264, 288, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 
444, 456, 468 ],
  next:= [ rec(
    desc:= [ 105004 ],
    fp:= [ 13, 38 ],
    next:= [ rec(
      fp:= [ 3390353979043366170716899494688181242679, 
3390354889154688508926661848375907109687, 
3390355799265975897442185553122575043383 ],
      next:= [ 604, 603, 602 ] ), rec(
      fp:= [ 17300976354277665358016773199477960087751479, 
17300980998575743249901190490346425187093303 ],
      next:= [ 600, 601 ] ) ],
    pos:= [ 5, 5 ] ), rec(
    desc:= [ 205002 ],
    fp:= [ 2, 15 ],
    next:= [ rec(
      fp:= [ 664382335711562110701466066291414583, 
664382514059851810527012284925105719 ],
      next:= [ 660, 661 ] ), rec(
      fp:= [ 3390343057554802911766113176395287778871, 
3390343967666125249975875530083013645879 ],
      next:= [ 663, 662 ] ) ],
    pos:= [ 4, 5 ] ), rec(
    fp:= [ 24 ],
    next:= [ rec(
      fp:= [ 3394982806298797795095286988723815840055, 
3394982806298797815641844448247002822967 ],
      next:= [ 713, 712 ] ) ],
    pos:= [ 6, 9 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 34 ],
    next:= [ rec(
      fp:= [ 23700517473819605059645632646894717624631, 
23700517473997953349345458193113351315767 ],
      next:= [ 747, 748 ] ) ],
    pos:= [ 5, 7 ] ), rec(
    desc:= [ 104004 ],
    fp:= [ 61 ],
    next:= [ rec(
      fp:= [ 26107428446466157266760223543, 26107435295318643774489217847 ],
      next:= [ 873, 874 ] ) ],
    pos:= [ 3, 5, 6 ] ), rec(
    desc:= [ 104004 ],
    fp:= [ 2, 31, 33 ],
    next:= [ rec(
      fp:= [ 131085997983826256003522882726711, 
131085998045465928382092443675447 ],
      next:= [ 938, 939 ] ), rec(
      fp:= [ 25688086906423840369690569527, 25688148546096218939251518263 ],
      next:= [ 936, 935 ] ), rec(
      fp:= [ 130041591278079247033771997293367, 
130041591339718919412341558242103 ],
      next:= [ 933, 934 ] ) ],
    pos:= [ 3, 4, 5 ] ), rec(
    desc:= [ 103004 ],
    fp:= [ 2 ],
    next:= [ rec(
      fp:= [ 679854941793791957198831030964511031, 
17280662194486571774266488818289422246535479 ],
      next:= [ 999, 1000 ] ) ],
    pos:= [ 4, 4, 4 ] ), rec(
    desc:= [ 302004, 206003, 50205006 ],
    fp:= [ 32 ],
    next:= [ rec(
      fp:= [ 131086062952040941437525857438519, 
5460693482379027714166969910463287, 6370804769767543237871716578396983 ],
      next:= [ 1070, 1071, 1072 ] ) ],
    pos:= [ 2, 7, 8 ] ), rec(
    fp:= [ 3 ],
    next:= [ rec(
      fp:= [ 130729366283629024107825123819575, 
130907714566479997167536028516407 ],
      next:= [ 1138, 1137 ] ) ],
    pos:= [ 3, 5, 6 ] ), rec(
    fp:= [ 4 ],
    next:= [ rec(
      fp:= [ 666201844787954595660073270465970231, 
666201844822904289898722211523903543 ],
      next:= [ 1214, 1215 ] ) ],
    pos:= [ 3, 5, 7 ] ), rec(
    fp:= [ 6 ],
    next:= [ rec(
      fp:= [ 668932178754976073799620841372565559, 
668932178789925768038269782430498871 ],
      next:= [ 1319, 1318 ] ) ],
    pos:= [ 3, 5, 7 ] ), rec(
    desc:= [ 302005, 207003 ],
    fp:= [ 6, 38 ],
    next:= [ rec(
      fp:= [ 130372704626528201192283652931639, 
130372704633377053678791381925943 ],
      next:= [ 1501, 1500 ] ), rec(
      fp:= [ 130372704626528201192008464646199, 
665291402212414391982529946651902007 ],
      next:= [ 1503, 1504 ] ) ],
    pos:= [ 5, 6, 8 ] ), rec(
    desc:= [ 302006, 208003 ],
    fp:= [ 5, 38 ],
    next:= [ rec(
      fp:= [ 668932713765005037861307618057210679, 
668932713869854120577254441231010615 ],
      next:= [ 1580, 1579 ] ), rec(
      fp:= [ 668932713765005037861307342868925239, 
3413559218158284658744142862096907062071, 
3413559218693329527843619500752808135479 ],
      next:= [ 1582, 1584, 1583 ] ) ],
    pos:= [ 5, 7, 9 ] ), rec(
    desc:= [ 302004, 206003 ],
    fp:= [ 8, 38 ],
    next:= [ rec(
      next:= [ 1839, 1840 ] ), rec(
      fp:= [ 3404275951941173518890249306996051233591, 
94827278284590887435175244113716428098359, 
94827278284769270674569308834889354398519 ],
      next:= [ 1841, 1842, 1843 ] ) ],
    pos:= [ 5, 6, 7 ] ), rec(
    desc:= [ 105004, 302005, 205002 ],
    fp:= [ 10, 11 ],
    next:= [ rec(
      fp:= [ 25548233341333598079032661815, 25548240190186084586761656119 ],
      next:= [ 1968, 1967 ] ), rec(
      fp:= [ 130041451424514156791481339385655, 
130041451431363009277989068379959 ],
      next:= [ 1971, 1970 ] ) ],
    pos:= [ 4, 5, 9 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 13, 14, 15, 34 ],
    next:= [ rec(
      fp:= [ 130194286553847575057490502347575, 
130194321503541813706431560280887 ],
      next:= [ 2015, 2016 ] ), rec(
      fp:= [ 663601348271108764330896136193567543, 
663601526619398464156442354827258679 ],
      next:= [ 2021, 2022 ] ), rec(
      fp:= [ 663601348306058458569545077251500855, 
663601526654348158395091295885191991 ],
      next:= [ 2020, 2019 ] ), rec(
      fp:= [ 130194286553847575057765690633015, 
130372634843547400603984324324151 ],
      next:= [ 2018, 2017 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    fp:= [ 20, 49 ],
    next:= [ rec(
      next:= [ 2078, 2079 ] ), rec(
      fp:= [ 130194321503541813706432657070135, 
664381290855242895658236901752150071 ],
      next:= [ 2082, 2080 ] ) ],
    pos:= [ 3, 4, 8 ] ), rec(
    desc:= [ 105004, 108010 ],
    fp:= [ 10, 11, 21 ],
    next:= [ rec(
      fp:= [ 130551017973362510838596536801079, 
131086062835613134990744708880183 ],
      next:= [ 2241, 2240 ] ), rec(
      fp:= [ 663601705002528279266676967039735607, 
663602240047390529890829115211814711 ],
      next:= [ 2244, 2245 ] ), rec(
      fp:= [ 666201513499809736228984003816232759, 
668931847466817516663558559264839479, 3386359500296683549941272095079582308151
 , 3386362230630650557721706669635030914871 ],
      next:= [ 2235, 2236, 2238, 2239 ] ) ],
    pos:= [ 3, 6, 9 ] ), rec(
    fp:= [ 51, 57, 59 ],
    next:= [ rec(
      fp:= [ 130194461185890964222548798241463, 
911181417076075061884140860111543 ],
      next:= [ 2391, 2390 ] ), rec(
      fp:= [ 663601348445747676700969796333894327, 
664382335401637860798894670201387703 ],
      next:= [ 2385, 2386 ] ), rec(
      fp:= [ 3386357681118585378065841216726115449527, 
3386357681118595363692766544994989144759 ],
      next:= [ 2387, 2392 ] ) ],
    pos:= [ 4, 4, 5 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 52, 57, 59 ],
    next:= [ rec(
      fp:= [ 664381443864922109049024157218586679, 
4644428272353104572644893691207565367 ],
      next:= [ 2463, 2467 ] ), rec(
      fp:= [ 3390338508042492734961785666909412081719, 
23700517473817697832318434631134676336695 ],
      next:= [ 2468, 2464 ] ), rec(
      fp:= [ 17300893421164404314113026505029174564831287, 
17300893421164404324098653430357443438526519 ],
      next:= [ 2469, 2465 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    fp:= [ 15 ],
    next:= [ rec(
      fp:= [ 664381443865004272463301126920293175, 
665291555082493399509707991472360247 ],
      next:= [ 2533, 2532 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    desc:= [ 106004 ],
    fp:= [ 13, 17, 18, 32, 41, 51 ],
    next:= [ rec(
      fp:= [ 664382335401631002552337529139183671, 
664382335401631014631442443614896183, 664382335401637848720578500318019639, 
664382335401637860799683414793732151 ],
      next:= [ 2631, 2637, 2636, 2630 ] ), rec(
      fp:= [ 664382335401631002552337804327469111, 
664382335401637848720578775506305079 ],
      next:= [ 2626, 2627 ] ), rec(
      fp:= [ 3386357681118585371207595448880093544503, 
3386357681118585371219674553794569257015, 
3386357681118585378056447935387822538807, 
3386357681118585378065842794765748092983 ],
      next:= [ 2638, 2632, 2633, 2639 ] ), rec(
      fp:= [ 130194461185901698837291386093623, 
130194461185913777942205861806135 ],
      next:= [ 2629, 2628 ] ), rec(
      fp:= [ 663601348445740818454675937077313591, 
663601348445740830533780851553026103 ],
      next:= [ 2634, 2635 ] ), rec(
      fp:= [ 911181417076085796499158636249143, 
911181417082931964740129815085111 ],
      next:= [ 2625, 2624 ] ) ],
    pos:= [ 4, 5, 7 ] ), rec(
    desc:= [ 106004, 302006, 208003 ],
    fp:= [ 14, 17, 18, 33, 36, 39, 41 ],
    next:= [ rec(
      fp:= [ 3390337727412652799941513583685826890551, 
3390337727947697669040990222341727963959 ],
      next:= [ 2809, 2810 ] ), rec(
      fp:= [ 23700519292996345193128199526678993947447, 
23700519292996345213674756986202180930359 ],
      next:= [ 2815, 2816 ] ), rec(
      fp:= [ 17300893422983582971459463195252987756137271, 
17300893422983582971480009752712510943120183, 
17300893425713916938474092482314050933738295, 
17300893425713916938494639039773574120721207 ],
      next:= [ 2804, 2813, 2814, 2803 ] ), rec(
      fp:= [ 664381800980877272874602800883551031, 
664382336025746372351241456784624439 ],
      next:= [ 2807, 2808 ] ), rec(
      fp:= [ 3390340327221150101945033350245790370615, 
3390343057555117096027762951785780988727 ],
      next:= [ 2806, 2805 ] ), rec(
      fp:= [ 4647028437966341193432779371649026871, 
4647028437966361739990238894836009783 ],
      next:= [ 2811, 2812 ] ), rec(
      fp:= [ 3390340327221150081398475890722603387703, 
3390343057555117116574320411308967971639 ],
      next:= [ 2801, 2800 ] ) ],
    pos:= [ 6, 7, 9 ] ), rec(
    desc:= [ 302004, 206002 ],
    fp:= [ 18, 38 ],
    next:= [ rec(
      next:= [ 2944, 2945 ] ), rec(
      fp:= [ 130194356453238736600908039670583, 
663601348341008155492439260770028343, 663601348341008155493228280622041911 ],
      next:= [ 2947, 2943, 2948 ] ) ],
    pos:= [ 4, 5, 6 ] ), rec(
    desc:= [ 105004, 50305006 ],
    fp:= [ 18, 38 ],
    next:= [ rec(
      fp:= [ 130194356453238736601185449528119, 
130194356453238737390205301541687 ],
      next:= [ 3027, 3026 ] ), rec(
      fp:= [ 664381290890192592581131379356322615, 
664381290890192592581920399208336183 ],
      next:= [ 3025, 3030 ] ) ],
    pos:= [ 3, 6, 7 ] ), rec(
    desc:= [ 204002, 302005 ],
    fp:= [ 54 ],
    next:= [ rec(
      fp:= [ 664381979364109818086311140000905015, 
665292269069680573060373479689402167 ],
      next:= [ 3101, 3100 ] ) ],
    pos:= [ 2, 5, 7 ] ), rec(
    desc:= [ 106004, 303006 ],
    fp:= [ 53, 54 ],
    next:= [ rec(
      fp:= [ 23737007606299742774013147404557734439991, 
23737007606478091063712972950776368131127 ],
      next:= [ 3171, 3170 ] ), rec(
      fp:= [ 17300929911296886369040348143130591308344375, 
17300929911297064717330047968676809942035511 ],
      next:= [ 3168, 3167 ] ) ],
    pos:= [ 3, 5, 7 ] ), rec(
    desc:= [ 302005, 107004 ],
    fp:= [ 31, 33 ],
    next:= [ rec(
      fp:= [ 5013361363035739321822007, 5033907920495262508804919 ],
      next:= [ 3278, 3277 ] ), rec(
      fp:= [ 25483340461338113788901092151, 25483361007895573312088075063 ],
      next:= [ 3274, 3275 ] ) ],
    pos:= [ 2, 5, 6, 8 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 34, 42 ],
    next:= [ rec(
      fp:= [ 130550983016816733881625140896055, 
131086027885916210520281041969463 ],
      next:= [ 3345, 3346 ] ), rec(
      next:= [ 3348, 3347 ] ) ],
    pos:= [ 3, 4, 6, 7 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 34, 42, 46 ],
    next:= [ rec(
      fp:= [ 130194286457963640246657484712759, 
130372634761361170765891576392503 ],
      next:= [ 3431, 3432 ] ), rec(
      next:= [ 3436, 3437 ] ), rec(
      next:= [ 3433, 3434 ] ) ],
    pos:= [ 4, 5, 6, 8 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 35, 39 ],
    next:= [ rec(
      fp:= [ 25688032115601844256066530103, 25688032115602107262683867959 ],
      next:= [ 3588, 3589 ] ), rec(
      next:= [ 3579, 3582, 3580, 3583 ] ) ],
    pos:= [ 3, 3, 5, 6 ] ), rec(
    desc:= [ 104004, 302004, 205002, 50304004, 206003 ],
    fp:= [ 34, 36, 39, 40, 41, 42, 43, 44, 45, 46 ],
    next:= [ rec(
      fp:= [ 3386361321207208108365883682317037104439, 
3386364052076219992094647384091965762871 ],
      next:= [ 3799, 3798 ] ), rec(
      fp:= [ 667112491050312802052066009113586999, 
667112491050312802052068340151856439, 667112847746899050555644954109963575, 
668022424024361311988875808133246263, 3386361321207208108365883684372887088439
 , 3386363141429852777936555903184759844151 ],
      next:= [ 3808, 3802, 3809, 3803, 3786, 3787 ] ), rec(
      fp:= [ 3386360411630930632406745483108521585975, 
88182795984707376499590827311112478991435066679, 
88182796003284568454461785580624860414565051703 ],
      next:= [ 3793, 3788, 3789 ] ), rec(
      fp:= [ 3404270622002430880942128288696281754935, 
3404270622002430880942128288697392540983 ],
      next:= [ 3813, 3812 ] ), rec(
      fp:= [ 3404270622002430874093276591208404774199, 
88182795984707376499590834159965754520126860599, 
88182795998640530943421159457309503881017453879 ],
      next:= [ 3814, 3801, 3800 ] ), rec(
      fp:= [ 3386360411274234059855946877177872411959, 
3386363141429852784785409181043379121463 ],
      next:= [ 3776, 3777 ] ), rec(
      fp:= [ 17280579265012507227526651329109047344262455, 
17280579266832016479044271551631548261231927, 
17280597174312945753726676775896463274126647, 
17280601818610488600735145737641818371812663, 
88182795984707376142894254760313873061896678711, 
88182795998640530230028000658008108027445488951, 
88182796003284568811158364980276741871684447543 ],
      next:= [ 3810, 3811, 3780, 3781, 3796, 3797, 3771 ] ), rec(
      fp:= [ 3386361321207208101517031984830270909751, 
3387687353582203169689458553606998224183, 
17280579264102217556905590594484669676498231, 
17280579266832016479051120404907075842239799, 
17280597174312945753719827922622990432316727, 
17280601818611201993893945039035619426151735 ],
      next:= [ 3783, 3782, 3772, 3773, 3778, 3779 ] ), rec(
      fp:= [ 3386360411274234053007095177361178733879, 
3386360411274234059855946876902684126519, 
88182795984707376142894254760313873063007464759, 
88182795998640270911614777111663117113095777591 ],
      next:= [ 3807, 3806, 3785, 3784 ] ), rec(
      fp:= [ 17280579264101860860319342090905723569335607, 
17280579265011793834374700879410681649278263, 
17280579267742306149672181139531455731576119, 
17280580593775037841319753217979634839088439, 
17280597174312589057147277124017059783142711, 
17280597174312945753726676775898518013324599, 
17280597174572620863522773918704286199426359, 
17280597174572977560102173569009757243206967 ],
      next:= [ 3791, 3805, 3790, 3804, 3775, 3795, 3774, 3794 ] ) ],
    pos:= [ 6, 6, 7, 7 ] ) ] );