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Aliases
Subgroups
122 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)(24,25,27,33,28,34,41,50,29,32,40,48,42,31,45,47)(26,35,37,49,38,46,52,55,36,30,39,44,51,43,53,54);(24,26)(25,30)(27,39)(28,38)(29,36)(31,46)(32,35)(33,49)(34,43)(37,40)(41,53)(42,51)(44,48)(45,52)(47,54)(50,55);(25,31,32,34)(26,36)(27,40)(30,43,35,46)(33,50,48,47)(38,51)(41,45)(44,55,49,54)
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, 898);
Finite Group Databasebeta