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Aliases
Subgroups
140 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)(32,33,36,41,38,42,37,52)(34,43,47,59,45,57,48,62)(35,49,50,56,51,63,44,40)(39,53,55,61,54,60,58,46);(32,34,44,60,37,48,51,61,38,45,50,53,36,47,35,46)(33,39,49,59,41,55,56,57,42,54,63,62,52,58,40,43);(34,45)(39,54)(43,57)(46,61)(47,48)(53,60)(55,58)(59,62)
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, 893);
Finite Group Databasebeta