sml1360.z

#############################################################################
##
#W  sml1360.z              GAP library of groups           Hans Ulrich Besche
##                                               Bettina Eick, Eamonn O'Brien
##

SMALL_GROUP_LIB[ 1360 ] :=
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905007987459548467209175103, 2769846415915747377215,
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5684017450390033367277184418316351, 4175214870686511946104758599743,
5678292224133656248090418411995199, 4179424601404538614705054285887,
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2257363013284110098497599, 2257360981122739697877055,
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3070013700101436645151080511, 488484939100707631119, 664339111031854153609231
, 903501743751800044468056079, 903501743752099111630811151,
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97735324718958964739, 132919922154962480590851, 97854863623030108163,
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905007985422901089350451263, 665449081759594966941759,
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1673900720373212511195040619429951, 3096046772402293857939409081974004908095,
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3070097159340520206952824895, 4175332136703108124473229836351,
4175332136701075963102829215807, 5678451705913463310462135513907263,
905005610111868786832310335, 905005610111868787335626815,
1230807629750109284689179050047, 905005610111868786865864767,
1230807629750109284688709287999, 1230807629750109284689212604479,
1673898376460146594911150667726911, 903279928747487495597338639,
1228460703096170871936147009551, 664176418499712786640911,
903279928747487495999991823, 664176418499712887304207,
903279928747487496100655119, 664176418499713289957391,
180594084531535649316073475, 245607954962763043257339408387,
132789768130128882233347, 180594084531535649718726659,
132789768130128982896643, 180594084531535649819389955,
132789768130129385549827, 1673898373450985439090745890832447,
2276501787893340195130489352325431359, 1230807627537490788246848798783,
1673898373450985439090746360594495, 1230807627537490788246882353215,
1673898373450985439090746394148927, 1230807627537490788247352115263,
1673898374203275728045968283664447, 2276501788916454988109591806576951359,
1230807628090645412478629969983, 1673898374203275728045968753426495,
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2257360979627404420972607, 3073106320494845229141065791,
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2035152043152244799, 1670706013897998784211464084455439,
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903279635900930521890304015, 1670708602042108231787935229280319,
1670708602042661386412167010451519, 1228460305932779992523124768831,
1230809353215597439180630655039, 2257424381868106445750335,
665445301555120180297791, 531451774883117838303232, 488365021964384862991,
97639544061905866499, 905005608483453518731018303,
905005608890184860077916223, 2257359352704172541607999,
664177232859601230102591, 1220457984140771391, 263891380600895,
52785148068083, 359777809679253567, 63 ]; 

PROPERTIES_SMALL_GROUPS[ 1360 ] := rec(
isNilpotent := [ 4, 84, -91, 216, -219, 245 ], 
isSupersolvable := [ 1, -233, 235, -245 ], 
isAbelian := [ 4, 84, 87, 216, 245 ], 
lgLength := rec( lgLength := [ 3, 4, 5, 6 ], pos := [ [ 234, 241, -245 ], [
29, -35, 43, -46, 51, 59, -62, 67, 75, -78, 83, -86, 96, -98, 103, -105, 110,
-112, 119, -120, 123, 126, -127, 130, 133, -134, 137, 140, -141, 144, 147,
-148, 151, 154, -155, 158, -219, 224, 231, -233, 235, -240 ], [ 11, -28, 36,
-42, 47, -50, 52, -58, 63, -66, 68, -74, 79, -82, 87, -91, 99, -102, 106,
-109, 113, -118, 121, -122, 124, -125, 128, -129, 131, -132, 135, -136, 138,
-139, 142, -143, 145, -146, 149, -150, 152, -153, 156, -157, 225, -230 ], [ 1
, -10, 92, -95, 220, -223 ] ] ),
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, 203, 207, 211, 215 ], pos := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 35, 51,
67, 83, 91, 92, 93, 94, 95, 102, 109, 116, 123, 130, 137, 144, 151, 158, 185,
195, 205, 215, 219 ] ) );