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Aliases
Subgroups
194 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 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)(32,33,35,39,36,38,44,46)(34,40,41,47,42,37,43,45)(48,49)(50,57,59,62)(51,60)(52,55)(53,56)(54,58,63,61);(32,34,36,42)(33,37,38,40)(35,43,44,41)(39,47,46,45)(48,50)(49,54)(51,58)(52,61)(53,59)(55,62)(56,63)(57,60);(48,51,53,52)(49,55,56,60)(50,58,59,61)(54,62,63,57)
Conjugacy classes & character table
806 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 269);
Finite Group Databasebeta