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Aliases
Subgroups
958 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)(32,33,37,39)(34,43,47,45)(35,38,42,48)(36,50,51,41)(40,54,53,44)(46,59,60,57)(49,61,56,52)(55,58,62,63);(33,39)(34,44)(35,42)(40,45)(41,50)(43,53)(46,58)(47,54)(49,56)(55,59)(57,62)(60,63);(32,34,37,47)(33,40,39,53)(35,45,42,43)(36,46,51,60)(38,44,48,54)(41,55,50,62)(49,59,56,57)(52,58,61,63);(32,35,48,33)(34,45,54,40)(36,49,61,41)(37,42,38,39)(43,44,53,47)(46,59,63,55)(50,51,56,52)(57,58,62,60);(32,36,48,61)(33,41,35,49)(34,46,54,63)(37,51,38,52)(39,50,42,56)(40,55,45,59)(43,57,53,62)(44,58,47,60)
Conjugacy classes & character table
1178 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 2300);
Finite Group Databasebeta