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Aliases
Subgroups
152 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)(24,25,28,33,29,32,42,47,30,34,43,48,27,40,41,53)(26,35,38,50,39,45,52,54,36,49,51,55,37,31,44,46);(24,26,27,37,30,36,29,39)(25,31,32,35,34,45,40,49)(28,38,41,44,43,51,42,52)(33,46,47,50,48,54,53,55);(26,36)(31,45)(35,49)(37,39)(38,51)(44,52)(46,54)(50,55)
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, 885);
Finite Group Databasebeta