id117.ad

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

ID_GROUP_TREE.next[117].next[1].next[4]:=
rec(
  fp:= [ 3, 15, 39, 51, 75, 87, 99, 111, 123, 135, 147, 171, 183, 195, 207, 
219, 231, 243, 267, 327, 339, 351, 363, 375, 387, 411, 423, 447, 459, 471, 
495 ],
  next:= [ rec(
    desc:= [ 104010 ],
    fp:= [ 10 ],
    next:= [ rec(
      fp:= [ 130372704626516128925245870329143, 
130372704626516128925263642905911, 130372704633364981411771371900215 ],
      next:= [ 509, 508, 507 ] ) ],
    pos:= [ 4, 5 ] ), rec(
    desc:= [ 304006, 107004, 302008, 111010, 211007, 50205011, 210002 ],
    fp:= [ 12 ],
    next:= [ rec(
      fp:= [ 669842291824805821532398791201388343, 
3418203515702914005735342468322612999991 ],
      next:= [ 543, 544 ] ) ],
    pos:= [ 10, 13 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 14, 54 ],
    next:= [ rec(
      fp:= [ 17324676208149779925235456145014346498826551, 
17324680852447679468830173610336592964477239, 
17324685496745935709004290726751276697510199 ],
      next:= [ 615, 614, 616 ] ), rec(
      fp:= [ 88407822686204760428413343664627952665045885239, 
88407846386057852089047814799755276285620904247 ],
      next:= [ 613, 612 ] ) ],
    pos:= [ 5, 5 ] ), rec(
    desc:= [ 302005, 107004, 206003 ],
    fp:= [ 15, 54 ],
    next:= [ rec(
      fp:= [ 17490492245895907824198063389395652469449015, 
17490492246806197529768818363457992157946167 ],
      next:= [ 679, 678 ] ), rec(
      fp:= [ 3427492892310848443854582761910353387831, 
3427493802600554014609556824250041884983 ],
      next:= [ 676, 675 ] ) ],
    pos:= [ 6, 9 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 14 ],
    next:= [ rec(
      fp:= [ 17300897401991330138655481163403041807130935, 
17300897401991686835234880814495479074513207, 
17300902046289408030539898454271506906472759, 
17300902046289764727119298105363944173855031 ],
      next:= [ 755, 758, 754, 757 ] ) ],
    pos:= [ 5, 7 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 15, 53 ],
    next:= [ rec(
      fp:= [ 17324597256901988571188583474671607334458935, 
17324597256901988606138277713320548392392247 ],
      next:= [ 798, 797 ] ), rec(
      fp:= [ 47404353211401944922248478945573760554551, 
47404353211401979871942717594514818487863 ],
      next:= [ 799, 800 ] ) ],
    pos:= [ 4, 5 ] ), rec(
    fp:= [ 27 ],
    next:= [ rec(
      fp:= [ 88407467308495886435000844708446830185362260535, 
88407467308495886613349134408272376403995951671 ],
      next:= [ 844, 845 ] ) ],
    pos:= [ 4, 8 ] ), rec(
    fp:= [ 31 ],
    next:= [ rec(
      fp:= [ 130551087865902135649676832989495, 
130551192714984851596500006789431 ],
      next:= [ 883, 882 ] ) ],
    pos:= [ 3, 3, 4 ] ), rec(
    desc:= [ 104004 ],
    fp:= [ 32 ],
    next:= [ rec(
      fp:= [ 131086622030718267023936974342967, 
131086622030718267286943591680823, 3386362230631209752826838703102484663095 ],
      next:= [ 953, 954, 956 ] ) ],
    pos:= [ 3, 5, 5 ] ), rec(
    desc:= [ 103004 ],
    fp:= [ 2, 33 ],
    next:= [ rec(
      next:= [ 1018, 1019, 1020, 1021, 1022, 1023 ] ), rec(
      next:= [ 1024, 1025, 1026, 1027 ] ) ],
    pos:= [ 4, 4, 4 ] ), rec(
    desc:= [ 105004, 302006, 207002, 207003, 210003, 50505007 ],
    fp:= [ 5 ],
    next:= [ rec(
      fp:= [ 669841958824221848471008296574511927, 
669841958929070931186955119748311863 ],
      next:= [ 1088, 1087 ] ) ],
    pos:= [ 5, 7, 11 ] ), rec(
    desc:= [ 105004, 50405006 ],
    fp:= [ 5, 38 ],
    next:= [ rec(
      fp:= [ 3399631654933476221754627925947733461815, 
3413564548632141955601261752608336333623 ],
      next:= [ 1232, 1231 ] ), rec(
      fp:= [ 17348320328884230272389174415227017196423991, 
17348320328884765422107356607549489653959479 ],
      next:= [ 1235, 1236 ] ) ],
    pos:= [ 4, 6, 7 ] ), rec(
    desc:= [ 106004, 302006, 209002, 50505006 ],
    fp:= [ 3, 4, 5, 6, 7, 35, 36, 40, 41 ],
    next:= [ rec(
      fp:= [ 18578105633164138088121215336825307191, 
18578105633174123715046543605699002423 ],
      next:= [ 1384, 1385 ] ), rec(
      fp:= [ 3404271404416347878293164326687779668023, 
3404272314527680174734442062613463253047, 
94800076750404725881076920689454696185911, 
94800076750404735866703846017723569881143, 
94801403692712694990910432366159010283575, 
94801403692712704976537357694427883978807 ],
      next:= [ 1372, 1373, 1366, 1377, 1376, 1367 ] ), rec(
      fp:= [ 17371992980440991352147411916415763458375735, 
17371992981351102684443853194151689141960759, 
17371994307383299321257245428092467772473399, 
17371994308293410653553686705828393456058423 ],
      next:= [ 1382, 1391, 1390, 1383 ] ), rec(
      fp:= [ 3404271404416357863920089654956653363255, 
3404272314527670189107516734344589557815 ],
      next:= [ 1381, 1380 ] ), rec(
      fp:= [ 17371992980440991362133038841744032332070967, 
17371992981351102674458226268823420268265527, 
17371994307383299331242872353420736646168631, 
17371994308293410643568059780500124582363191 ],
      next:= [ 1371, 1388, 1389, 1370 ] ), rec(
      fp:= [ 18577322506448167836980786138666057783, 
18577582538254550182627172906587734071 ],
      next:= [ 1374, 1375 ] ), rec(
      fp:= [ 3404270621467980170346439497677338132535, 
3404270881321438290387670284257542094903 ],
      next:= [ 1368, 1369 ] ), rec(
      fp:= [ 667111778251346750799372272556654647, 
667111956599609055214972460274368567 ],
      next:= [ 1387, 1386 ] ), rec(
      fp:= [ 3404270621289631908042023897489620418615, 
3404270881499786552692085884445259808823 ],
      next:= [ 1379, 1378 ] ) ],
    pos:= [ 5, 7, 10 ] ), rec(
    fp:= [ 6 ],
    next:= [ rec(
      fp:= [ 131086062835633265254231475224631, 
131086062842482117740739204218935 ],
      next:= [ 1528, 1529 ] ) ],
    pos:= [ 3, 5, 6 ] ), rec(
    desc:= [ 302006, 208003 ],
    fp:= [ 5, 38 ],
    next:= [ rec(
      fp:= [ 667111777762119513273064309128645431, 
667111777901918290227660073360378679 ],
      next:= [ 1608, 1609 ] ), rec(
      fp:= [ 667111777762119513273064033940359991, 
3404270621289142680804497589233231547191, 
3404270881320949063150143976001153223479 ],
      next:= [ 1613, 1612, 1611 ] ) ],
    pos:= [ 5, 7, 9 ] ), rec(
    desc:= [ 302004, 206003 ],
    fp:= [ 5, 38 ],
    next:= [ rec(
      next:= [ 1773, 1774 ] ), rec(
      fp:= [ 3390343058064229394732265127945991834423, 
3404271401562980016929739067625084767031, 
17300920622701087386686298222933889416645431, 
17300920622961119193068643869320657338321719 ],
      next:= [ 1776, 1775, 1777, 1778 ] ) ],
    pos:= [ 5, 6, 6 ] ), rec(
    desc:= [ 302004, 206003 ],
    fp:= [ 5, 38 ],
    next:= [ rec(
      next:= [ 1863, 1864 ] ), rec(
      fp:= [ 3390343058064089595955310532181760101175, 
3399628013596410470722210552847711292215, 
17300920622701265734975998048480108050336567, 
17300920622961119053269866914724893106588471 ],
      next:= [ 1865, 1867, 1868, 1866 ] ) ],
    pos:= [ 5, 6, 6 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 12 ],
    next:= [ rec(
      fp:= [ 133226207362314117072574686307127, 
133226207369162969559082415301431 ],
      next:= [ 1981, 1982 ] ) ],
    pos:= [ 3, 6, 7 ] ), rec(
    fp:= [ 34, 49 ],
    next:= [ rec(
      fp:= [ 1820248227859455096954103710168887, 
1820248332708537812900926883968823 ],
      next:= [ 2094, 2095 ] ), rec(
      fp:= [ 665291402212414371852792474213103415, 
665291402317263454568739297386903351 ],
      next:= [ 2097, 2096 ] ) ],
    pos:= [ 3, 6, 7 ] ), rec(
    fp:= [ 14 ],
    next:= [ rec(
      fp:= [ 130372704742935877901865311488823, 
130372809592018593848688485288759 ],
      next:= [ 2486, 2487 ] ) ],
    pos:= [ 3, 4, 5 ] ), rec(
    fp:= [ 17 ],
    next:= [ rec(
      fp:= [ 25513297364930185640163229751, 25513317911487645163350212663 ],
      next:= [ 2546, 2547 ] ) ],
    pos:= [ 3, 4, 5 ] ), rec(
    desc:= [ 104004, 302004, 207002, 302008, 207002 ],
    fp:= [ 15, 18, 33, 41, 54 ],
    next:= [ rec(
      fp:= [ 17300893421166544593411429270592054997311799, 
17300893421166544698260511986538878171111735, 
17324593274258026879592864572369456938639671, 
17324593274258026984441947288316280112439607 ],
      next:= [ 2681, 2679, 2678, 2680 ] ), rec(
      fp:= [ 17280583242200769398299699546956116379328823, 
17280583242200769468199088024517005112533303, 
17280587886498847290184116837824581478670647, 
17280587886498847290184116838087588096008503 ],
      next:= [ 2673, 2674, 2675, 2672 ] ), rec(
      fp:= [ 23700517475957967145094274866021423407415, 
23700517475958071994176990812844597207351 ],
      next:= [ 2676, 2677 ] ), rec(
      fp:= [ 3390338510182772033364551230082805424439, 
3390338510182841932753028790971538628919 ],
      next:= [ 2669, 2668 ] ), rec(
      fp:= [ 3390338510182772033364551229807617138999, 
3394982808260663917781842098272716480823 ],
      next:= [ 2671, 2670 ] ) ],
    pos:= [ 7, 8, 10 ] ), rec(
    desc:= [ 106004, 302006, 210002, 208003, 211003, 50508012, 50305008, 
212003 ],
    fp:= [ 14, 17, 18, 33, 36, 39, 41, 52 ],
    next:= [ rec(
      fp:= [ 3390337727769349393038869649138552261431, 
3390337727769349406736574622154010250039, 
3390337728304394255289493801286724340535, 
3390337728304394282684903747317640317751 ],
      next:= [ 2885, 2883, 2886, 2884 ] ), rec(
      fp:= [ 23700521113218989883245429207069903670071, 
23700521113218989896943134180085361658679, 
23700521113269946537445379363132370438967, 
23700521113269946551143084336147828427575 ],
      next:= [ 2893, 2894, 2892, 2891 ] ), rec(
      fp:= [ 17300893424803805616149580424933378665859895, 
17300893424803805616163278129906394123848503, 
17300893424803856572803780375089441132628791, 
17300893424803856572817478080062456590617399, 
17300893427534139583157360859507934114466615, 
17300893427534139583184756269453965030443831, 
17300893427534190539811560809663996581235511, 
17300893427534190539838956219610027497212727 ],
      next:= [ 2874, 2889, 2882, 2876, 2881, 2875, 2873, 2890 ] ), rec(
      fp:= [ 664382157677470370230668253608921911, 
664382692722332620854820401781001015 ],
      next:= [ 2879, 2880 ] ), rec(
      fp:= [ 3390342147443794785213410544128971098935, 
3390344877777761779296140145668961717047 ],
      next:= [ 2878, 2877 ] ), rec(
      fp:= [ 4648848660611031310662459762558749495, 
4648848660611045008367432778016738103 ],
      next:= [ 2887, 2888 ] ), rec(
      fp:= [ 3390342147443794771515705571113513110327, 
3390344877777761806691550091699877694263 ],
      next:= [ 2870, 2869 ] ), rec(
      fp:= [ 4644428986165652833826537787597900599, 
4644428986165666531531510803055889207 ],
      next:= [ 2872, 2871 ] ) ],
    pos:= [ 9, 10, 12 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 18, 38 ],
    next:= [ rec(
      fp:= [ 665291555082493402193953528022518583, 
665291733430783102020288766508223287 ],
      next:= [ 2965, 2964 ] ), rec(
      fp:= [ 665291555082493402193953252834233143, 
3394982025133323962278361448897378470711, 
3394982025133428811361078184740404284215 ],
      next:= [ 2967, 2963, 2968 ] ) ],
    pos:= [ 5, 6, 7 ] ), rec(
    desc:= [ 106004, 302006, 208003 ],
    fp:= [ 17, 18, 33, 34, 40, 42 ],
    next:= [ rec(
      fp:= [ 4644429163919886763993657085461916471, 
4644429163919886763994446105313930039, 
23700522023329718165685533133836859861815, 
23700522023329718165685533922856711875383, 
23700522023380674819885483289899326630711, 
23700522023380674819885484078919178644279 ],
      next:= [ 3045, 3046, 3047, 3048, 3050, 3049 ] ), rec(
      fp:= [ 3390337727947103626969036768436416277303, 
3390337727947103626969037557456268290871, 
3390337727947138576663275417377474210615, 
3390337727947138576663276206397326224183, 
17300893425713916344432020528860145622051639, 
17300893425713916344432020529649165474065207, 
17300893425713916379381714767509086679984951, 
17300893425713916379381714768298106531998519, 
17300893425713967301086220479016208088820535, 
17300893425713967301086220479805227940834103, 
17300893425713967336035914717665149146753847, 
17300893425713967336035914718454168998767415 ],
      next:= [ 3055, 3056, 3064, 3063, 3057, 3058, 3066, 3065, 3068, 3067, 
3059, 3060 ] ), rec(
      fp:= [ 3390343057554523053955809497880469302071, 
3390343057554523053955810286900321315639 ],
      next:= [ 3053, 3054 ] ), rec(
      fp:= [ 664382335431704300397787551472937783, 
664382335431704300398576571324951351 ],
      next:= [ 3051, 3052 ] ), rec(
      fp:= [ 4649758771339313750766386529514941239, 
4649758771339313750767175549366954807 ],
      next:= [ 3043, 3044 ] ), rec(
      fp:= [ 3390343057554558003650048146821527235383, 
3390343057554558003650048935841379248951 ],
      next:= [ 3062, 3061 ] ) ],
    pos:= [ 6, 7, 9 ] ), rec(
    desc:= [ 206002, 208002 ],
    fp:= [ 25, 26, 28, 30 ],
    next:= [ rec(
      fp:= [ 88286526842065201054647342172385772743823226679, 
88286597946268773579432713740968135848075491127 ],
      next:= [ 3185, 3184 ] ), rec(
      fp:= [ 450526146454735272590157522398378436530941160093495, 
450526509275790895301200968025985262800503003707191 ],
      next:= [ 3191, 3190 ] ), rec(
      fp:= [ 450525800978591064754088671875779384231802776090423, 
450525801049695268326613457247347966594907028354871 ],
      next:= [ 3188, 3187 ] ), rec(
      fp:= [ 450525835532976872135261924408449375683833232127799, 
450525835604081075707786709780017958046937484392247 ],
      next:= [ 3194, 3193 ] ) ],
    pos:= [ 4, 6, 9 ] ), rec(
    desc:= [ 104004 ],
    fp:= [ 34 ],
    next:= [ rec(
      next:= [ 3290, 3291 ] ) ],
    pos:= [ 3, 3, 4, 5 ] ), rec(
    desc:= [ 302005, 207002 ],
    fp:= [ 33, 34, 41, 46, 64 ],
    next:= [ rec(
      next:= [ 3464, 3465 ] ), rec(
      next:= [ 3462, 3453, 3463, 3454 ] ), rec(
      next:= [ 3457, 3456, 3455 ] ), rec(
      next:= [ 3467, 3466 ] ), rec(
      next:= [ 3461, 3460 ] ) ],
    pos:= [ 4, 5, 6, 8 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 36, 38, 41, 43, 46 ],
    next:= [ rec(
      fp:= [ 25688052662160092799105526583, 25688052662160094853844724535, 
25688052662161144825574878007, 25688059511012842312341072695 ],
      next:= [ 3620, 3609, 3621, 3610 ] ), rec(
      fp:= [ 131085997949581992255675998612279, 
131085997956430845005191455730487 ],
      next:= [ 3619, 3622 ] ), rec(
      fp:= [ 130041591243834983286201412250423, 
130041591243834984340281510013751, 131085997949581992258007036881719, 
131085997956430845005465533229879 ],
      next:= [ 3607, 3608, 3616, 3617 ] ), rec(
      next:= [ 3611, 3612 ] ), rec(
      next:= [ 3614, 3613 ] ) ],
    pos:= [ 3, 3, 5, 6 ] ), rec(
    fp:= [ 38, 43, 46 ],
    next:= [ rec(
      next:= [ 3830, 3829 ] ), rec(
      next:= [ 3825, 3824 ] ), rec(
      next:= [ 3826, 3827 ] ) ],
    pos:= [ 3, 3, 4, 4 ] ), rec(
    desc:= [ 105004 ],
    fp:= [ 55, 60 ],
    next:= [ rec(
      next:= [ 3991, 3992 ] ), rec(
      next:= [ 3996, 3997 ] ) ],
    pos:= [ 3, 4, 5, 6 ] ) ] );