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Aliases
Subgroups
402 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 47 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)(26,30)(27,29)(28,31)(32,33,36,40,35,39,43,47)(34,38,42,46,41,37,44,45);(24,26)(25,28)(27,31)(29,30)(32,34)(33,37)(35,41)(36,42)(38,39)(40,45)(43,44)(46,47);(26,31)(28,30)(32,34)(33,38)(35,41)(36,42)(37,39)(40,46)(43,44)(45,47);(25,29)(28,30)(33,39)(34,41)(40,47)(42,44)
Conjugacy classes & character table
1012 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 1713);
Finite Group Databasebeta