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Aliases
Subgroups
144 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 55 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,29,34,30,36,46,35)(26,37,39,52,41,54,40,48)(27,33,42,51,43,32,28,44)(31,47,49,55,50,45,53,38);(24,26)(25,31)(27,38)(28,45)(29,39)(30,41)(32,48)(33,52)(34,49)(35,53)(36,50)(37,44)(40,46)(42,47)(43,55)(51,54);(24,27,29,42,30,43,46,28)(25,32,34,44,36,33,35,51)(26,38,39,47,41,55,40,45)(31,48,49,37,50,52,53,54)
Conjugacy classes & character table
736 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 911);
Finite Group Databasebeta