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Aliases
Subgroups
132 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)(26,29)(27,28)(30,31)(32,33,39,45)(34,41,49,60)(35,40,51,58)(36,43,53,55)(37,42,46,61)(38,54,52,44)(47,59,62,57)(48,63,50,56);(25,28)(29,31)(32,34,46,62,38,48,36,35,39,49,37,47,52,50,53,51)(33,40,55,63,44,57,42,41,45,58,43,56,54,59,61,60);(24,26,27,30)(25,29,28,31)(32,35,36,50,52,62,46,49,39,51,53,48,38,47,37,34)(33,41,42,59,54,63,55,58,45,60,61,57,44,56,43,40)
Conjugacy classes & character table
598 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 977);
Finite Group Databasebeta