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Aliases
Subgroups
72 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 165 points:
(1,2,5,11,6,12,24,37,7,13,25,38,27,40,52,60,8,14,26,39,28,41,53,61,4,10,21,34,22,35,49,58)(3,15,17,42,18,43,46,62,16,32,44,36,45,56,63,59,19,33,23,50,47,57,51,64,20,9,29,30,48,31,54,55)(65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165);(1,3)(2,9)(4,20)(5,23)(6,18)(7,16)(8,19)(10,33)(11,36)(12,31)(13,15)(14,32)(17,26)(21,44)(22,48)(24,51)(25,29)(27,45)(28,47)(30,39)(34,42)(35,57)(37,59)(38,50)(40,43)(41,56)(46,53)(49,63)(52,54)(55,61)(58,62)(60,64)
Conjugacy classes & character table
5656 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 133);
Finite Group Databasebeta