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Aliases
Subgroups
122 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)(32,33,35,41,36,42,49,58,37,40,48,56,50,39,53,55)(34,43,45,57,46,54,60,63,44,38,47,52,59,51,61,62);(32,34)(33,38)(35,47)(36,46)(37,44)(39,54)(40,43)(41,57)(42,51)(45,48)(49,61)(50,59)(52,56)(53,60)(55,62)(58,63);(33,39,40,42)(34,44)(35,48)(38,51,43,54)(41,58,56,55)(46,59)(49,53)(52,63,57,62)
Conjugacy classes & character table
992 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 898);
Finite Group Databasebeta