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Aliases
Subgroups
40 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 165 points:
(1,2)(3,8)(4,19)(5,23)(6,26)(7,13)(9,14)(10,15)(11,20)(12,24)(16,36)(17,38)(18,30)(21,54)(22,52)(25,56)(27,40)(28,39)(29,47)(31,46)(32,49)(33,42)(34,55)(35,45)(37,53)(41,57)(43,51)(44,50)(48,61)(58,64)(59,63)(60,62)(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);(2,8)(3,14)(4,15)(5,20)(6,24)(9,10)(11,36)(12,38)(13,30)(16,46)(17,49)(18,42)(19,27)(21,55)(22,45)(23,28)(25,53)(26,29)(31,51)(32,50)(33,35)(34,57)(37,61)(39,40)(41,47)(43,44)(48,64)(52,59)(54,58)(56,60)(62,63)
Conjugacy classes & character table
3535 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 161);
Finite Group Databasebeta