sml1134.z

#############################################################################
##
#W  sml1134.z              GAP library of groups           Hans Ulrich Besche
##                                               Bettina Eick, Eamonn O'Brien
##

SMALL_GROUP_LIB[ 1134 ] :=
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104496596178170838617377700179, 357152619158209723799,
118394743240240788502495286838259, 441552152574950807, 71657162798421315863,
81401780440077750898967, 81901175933885606138135, 71657162798421222551,
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566387153621342450900759, 72663643233845179031, 71783762716748908055,
825767789635953073679537059, 936420345134708442959337591715,
936512088082084896429614666659, 71783765554090904471,
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312202948938208065294134873899, 276927858266266351984512811,
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64077384727153559, 71783762814474472343, 72665695918280231831,
72664530881154993047, 71783762814569930519, 71783763157026463511,
81402787420157280471959, 63301378271076119, 499459571535850926743,
499458795186986092055, 440440539862599191, 566387153732298343795607,
1132700763719373473308439, 499459571193394487063, 64077384774742679,
63301378366440983, 315725403420412823, 440662450573434647,
499711219211323427735, 314949396916932887, 499710443204819947799,
441549315913385495, 500716923640291680023, 499837043123864176151,
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242777741550339658980211, 161875796823088521517555, 81259850623583897190259,
63078878963542003, 91824207227077054269816691, 71531171773774260595,
81116159715955182922099, 81116348784500665538035, 91985725118003810127158131,
81116348784451743176179, 183728672494457280404233075, 81973650232559037383851
, 566671642597266163847831, 1926683868433478981528276779,
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93442962367148125470679723, 105963186193331714275826814763,
93442962367148076548317867, 209999688518229949570029801259,
91986725544259725722654035, 242778245734025755556947,
92148672242745405467304019, 91985725054982128024652371,
208164990375355746136242191443, 183567010912956652202576467,
118289595048947398827808443864403, 104315376480717153314382709795,
275312958635814070757349283, 104407119499372686464875789219,
183809577209652405514600099, 236059099088152731696619053635491,
208164990377559672651285855907, 236371028670287171950796297815075,
389373078293399, 1165379629642391, 1322317479650610071, 389373078480023,
440773406466516119, 389373221340695, 441549413065547543, 441549755522080535,
500717422941892987799, 189013746943408151, 214467301969457068055,
214467302311913601047, 214467301969456881431, 499584507555562779287,
440550712997611031, 499584507555563059223, 566528957280078062509847,
189013746943128215, 214467301969456788119, 189124605110552087,
642144108657048115243, 728261378586702227134507, 728190036373301104957483,
189125387761032983, 215348181676907437847, 215348182704277036823,
499584619196386469399, 162446284102402910017579, 189125387760939671,
215348181676907344535, 214467413610280478231, 189901394312381975,
728190917085938665887787, 825767500745192190865152043,
825848402815189063413897259, 214341589600677240599, 244204711421438570438423,
244204711422465940037399, 566528831567709288654359,
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825848403320759648877865003, 825767501250762776329119787,
825848403195046595268579115, 81545474564743931765419, 71909589564186736171,
214468192356341043863, 243206047036578574431767, 825768499978838436115458091,
936420345845051328321821288491, 936512088792427781792098363435,
936420345845051328321773512747, 92472137464273601343808171,
81545094765674302207531, 243063362609776255521431,
275795513771957677380171287, 166776714147863, 189124702931761175,
189125045388294167, 189124702931574551, 440550810818540183, 388493622117911,
440550810818820119, 499584618511551225623, 166776713867927,
189124702931481239, 166776809326103, 277732272519191, 388591108523543,
440661766377191447, 440661765708144407, 63189443513559715, 55624749506467,
62967631052981923, 166482869061283, 142747616247286737571, 188791639085965219
, 72287114085536077867, 314949396928503575, 499710443205553939991,
1321429832352646679, 80974357110958849234987, 1498501430820541996823,
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71531448772091631091, 81973590757203430680619, 357152619158227079831,
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91824920967210673755531307, 81973527845150485668523, 81259348769874868891219,
71531450044075936339, 92958051929043115277021227, 81973527854347891097131,
342456627863, 342504310295, 388688212816535, 388688213096471, 166678892938775
, 166776725718551, 189013746954978839, 189125387766818327,
214341589600683025943, 214468192356343936535, 243063362609776258414103,
49304569367, 244635698711, 48946251307, 277732284089879, 55624761263779,
314949396934288919, 63078878980991347, 357152619158229972503,
71531450037984528979, 405011070134628368137751, 1559 ]; 

PROPERTIES_SMALL_GROUPS[ 1134 ] := rec(
isNilpotent := [ 6, 128, -136, 233, -236, 254 ], 
isAbelian := [ 6, 128, 131, 233, 254 ], 
lgLength := rec( lgLength := [ 3, 4, 5, 6 ], pos := [ [ 237, 244, -245, 252,
-254 ], [ 12, -15, 19, 26, 42, 57, 63, -66, 70, 77, 79, -81, 96, 109, 114,
-115, 121, -122, 128, -130, 137, -147, 154, 158, 166, 170, 179, 187, -202,
205, 211, 217, 224, 229, -236, 238, -243, 246, -251 ], [ 7, -11, 16, -18, 20,
-25, 27, 35, -41, 50, -56, 58, -62, 67, -69, 71, -76, 78, 82, -87, 89, -90,
95, 97, -100, 102, -103, 108, 110, -113, 116, -120, 123, -127, 131, -136, 148
, -153, 155, -157, 159, -165, 167, -169, 171, -178, 180, -186, 203, -204, 206
, -210, 212, -216, 218, -223, 225, -228 ], [ 1, -6, 28, -34, 43, -49, 88, 91,
-94, 101, 104, -107 ] ] ),
frattFacs := rec( frattFacs := [ 5, 9, 13, 17, 21, 25, 30, 34, 38, 42, 46, 50
, 54, 58, 62, 66, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235,
239, 243 ], pos := [ 1, 2, 3, 4, 5, 6, 27, 42, 57, 78, 87, 100, 113, 120, 127
, 136, 147, 159, 171, 179, 187, 198, 202, 208, 214, 221, 228, 230, 232, 236
] ) );