CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

Views: 418346
Tweet
Share
Share
#############################################################################
##
#W  sml1040.z              GAP library of groups           Hans Ulrich Besche
##                                               Bettina Eick, Eamonn O'Brien
##

SMALL_GROUP_LIB[ 1040 ] :=
[ 10582917942036162398979, 38785936196153610683147,
40429077563278449544458287, 220548144067940118575, 40316197629294769180066571
, 41928937238385635149139079215, 10992129757665987814214403,
148606085232709375539817672751, 43727877433620906952395418693679,
43727877479406701986522688581679, 137394848923450719952943,
137394848923450716966959, 142890642880781468158586927,
142890642669123761917354031, 142890642669123761914368047,
148606268375889105014177722415, 148803872823287728008418050095,
148606268595801665412207697967, 148803873043200288406071791663,
154756027736219237314488632303663, 154756027736219237314488629317679,
148606268595801461895182377007, 154550519339633520559894220304431,
148803873263324302993222127663, 154756028193857063844691018051631,
160946268845668006807253905248153647, 154550519339633732217600554102831,
154756027964928088674054668611631, 137395060377640019472431,
137394848923450803560495, 137395060377640109051951,
142890863216250244701007919, 142890642880577951216873519,
142890862792934832033411119, 142890863004592538367209519,
37294169264384095307, 38785893783205620331595, 40337373517084909744796747,
40337373517125613149860939, 41950868457810676263395738699,
37294169264381109323, 38785893783205617345611, 37336460102224888907,
38785936074043461125195, 38829960876960891192395, 37294169264455758923,
47656012771566410657076299, 49562253282429099323312841803,
49562253282429099323315827787, 51544743413726263328482209514571,
37336460102314468427, 10175882577918290499, 10582901629363911518787,
11006234610903204581468739, 11006234610918859737262659,
11446483995355627666029902403, 10175882577915304515, 10582901629363908532803,
10192148284767271491, 10582917895070760499779, 10599850511577464371779,
10175882577989954115, 18324900931545985228130883,
19057896968807831828945984067, 19057896968807831828948970051,
19820212847560145109292413844035, 10192148284856851011,
38874113040833444929583, 40429077351213709252583471,
42046240665175019037180518447, 42046240665175222554205839407,
43728090291782231657191980724271, 38874113040833441943599,
40429077351213709249597487, 38874324495022744449071,
40429077562667898552102959, 40429297686682485702438959,
38874113040833528537135, 247650008622122943456107839535,
257556008967007861391999369859119, 257556008967007861391999372845103,
267858249325688175847876988770775087, 38874324495022834028591,
212064740393398319, 423518929791455279, 440671548104098099247,
212064740399370287, 220336079327645257775, 229149522704156548939823,
238315503612522840786063407, 247848123757023954444295139375,
43727994623947977641698856054831, 43727994623947977641698945634351,
45477114408905896535796056542851119, 45477114408905896535796056459243567,
43727994623947977641698862026799, 47296198985262132397016327951449387055,
45477114408905896535796056548823087, 142897503976786565374980143,
142897503765332376159068207, 148613403915945758660276957231,
142897503765332376075460655, 148613403915945758660193349679,
148613403915734304470977437743, 154557940072363676737258971525167,
40428880932862438538784815, 40428880932862438628364335,
42046036169965467781473939503, 40428880932862438544756783,
42046036169965467781390331951, 42046036169965467781479911471,
43727877616763875024334673211439, 40316197586882408165491787,
41928845490314639449826739275, 38765574644180217021515,
40316197586882408237155403, 38765574644180234937419,
40316197586882408255071307, 38765574644180306601035,
10992129741353902539110979, 11431814930990993681118886467,
10569355536941189757507, 10992129741353902610774595, 10569355536941207673411,
10992129741353902628690499, 10569355536941279337027,
43727877479406489922039146541103, 45476992578582749307362653822316591,
42046036037891059115466731567, 43727877479406489922039230148655,
42046036037891059115472703535, 43727877479406489922039236120623,
42046036037891059115556311087, 43727877433620694887911876653103,
45476992530965522471870293138796591, 42046035993866256198036664367,
43727877433620694887911960260655, 42046035993866256198042636335,
43727877433620694887911966232623, 42046035993866256198126243887,
148606085232497310885047365679, 154550328641796991965712015749167,
142890466569912178471120943, 148606085232497310885130973231,
142890466569912178477092911, 148606085232497310885136945199,
142890466569912178560700463, 41928937238173570579982905391,
43606094727700301946784309112879, 40316285806139449005355055,
41928937238173570580066512943, 40316285806139449011327023,
41928937238173570580072484911, 40316285806139449094934575,
143080646945265273342615599, 142890642668920244987584559,
148803872823076070301994672175, 142890642668920244984598575,
148803872823076070301991686191, 148606268375677243790914154543,
154756027735999113299901389402159, 137394848719933784211503,
143080646945265273432195119, 148803872823076070301899120687,
132110431279543369775, 137577545139499270815791, 137394848719933879762991,
143080646945265273527746607, 132110431279537397807, 137394848719933873791023,
143080646945265273521774639, 132110431279534411823, 137577545139499261857839,
137394848719933685674031, 132110431279626977327, 137394848719933778239535,
137394848719933775253551, 142890642668920244883075119, 132286100916783808559,
132110431279722528815, 137577545139499449974831, 38785893742502295884219,
35859701402321339, 37294128561152213435, 37294128561146241467,
42365987195978171, 45823089162691473777083, 45823089162691294618043,
47656012729234866040037819, 35859701393363387, 35859701581480379,
10582901613708836329011, 9784473911969331, 10175866922935666227,
10175866922929694259, 16290759705626163, 17620097033898014221875,
17620097033897835062835, 18324900915264619852162611, 9784473903011379,
9784474091128371, 40429077351010192319828015, 37378954457879298095,
38874112837316604739631, 38874112837316598767663, 220159955699172900911,
238125008290299123074015279, 238125008290299122894856239,
247650008621911285749684461615, 37378954457870340143, 37378954458058457135,
203517028306991, 203517120872495, 220335875810613964847, 211861223466614831,
148606085036078959907960303663, 42046148676873056221698822191,
137401445928217865822255, 38873923974311130796079, 42307881203990958628608,
37274592492036919739, 10162843398630643251, 40428880763333723421511727,
40428880805665264688271407, 137394679394148525379631, 38765659429373724168239
, 127029078902439983, 34442871570479, 9394622300295, 35941108964917295, 47 ];


PROPERTIES_SMALL_GROUPS[ 1040 ] := rec(
isNilpotent := [ 4, 84, -91, 212, -215, 231 ], 
isSupersolvable := [ 1, -219, 221, -231 ], 
isAbelian := [ 4, 84, 87, 212, 231 ], 
lgLength := rec( lgLength := [ 3, 4, 5, 6 ], pos := [ [ 220, 227, -231 ], [
29, -35, 43, -46, 51, 59, -62, 67, 75, -78, 83, -86, 92, -94, 99, -101, 106,
-108, 115, -116, 119, 122, -123, 126, 129, -130, 133, 136, -137, 140, 143,
-144, 147, 150, -151, 154, -219, 221, -226 ], [ 11, -28, 36, -42, 47, -50, 52
, -58, 63, -66, 68, -74, 79, -82, 87, -91, 95, -98, 102, -105, 109, -114, 117
, -118, 120, -121, 124, -125, 127, -128, 131, -132, 134, -135, 138, -139, 141
, -142, 145, -146, 148, -149, 152, -153 ], [ 1, -10 ] ] ),
frattFacs := rec( frattFacs := [ 5, 9, 13, 17, 22, 26, 30, 34, 38, 42, 46, 50
, 54, 58, 62, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195
, 199 ], pos := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 35, 51, 67, 83, 91, 98, 105,
112, 119, 126, 133, 140, 147, 154, 181, 191, 201, 211, 215 ] ) );