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Aliases
Subgroups
1424 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 63 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(32,33)(34,43)(35,40)(36,41)(37,50)(38,42)(39,45)(44,57)(46,53)(47,55)(48,56)(49,60)(51,54)(52,59)(58,63)(61,62);(32,34)(33,39)(35,44)(36,45)(37,51)(38,46)(40,52)(41,53)(42,54)(43,50)(47,58)(48,59)(49,61)(55,62)(56,63)(57,60);(32,35)(33,40)(34,44)(36,48)(37,49)(38,47)(39,52)(41,56)(42,55)(43,57)(45,59)(46,58)(50,60)(51,61)(53,63)(54,62);(35,47)(40,55)(44,58)(48,49)(52,62)(56,60)(57,63)(59,61);(32,36,38,37)(33,41,42,50)(34,45,46,51)(35,48,47,49)(39,53,54,43)(40,56,55,60)(44,59,58,61)(52,63,62,57)
Conjugacy classes & character table
1364 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 2316);
Finite Group Databasebeta