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Aliases
Subgroups
200 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)(26,34,37,47)(27,31)(28,32)(29,33)(30,36,42,50)(35,46,49,54)(38,43)(39,44)(40,45)(41,48,52,55)(51,53);(24,26)(25,30,33,42)(27,35)(28,36)(29,37)(31,41,44,52)(32,34,45,47)(38,48)(39,49)(40,50)(43,46,53,54)(51,55);(24,27,28,38,29,39,40,51)(25,31,32,43,33,44,45,53)(26,35,36,48,37,49,50,55)(30,41,34,46,42,52,47,54)
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, 479);
Finite Group Databasebeta