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Aliases
Subgroups
440 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(24,25,29,33,30,34,28,43)(26,35,38,45,39,49,37,31)(27,32,42,47,40,46,41,53)(36,48,52,54,50,55,51,44);(24,26,28,37,30,39,29,38)(25,31,33,35,34,45,43,49)(27,36,41,51,40,50,42,52)(32,44,47,48,46,54,53,55);(24,27)(25,32)(26,36)(28,41)(29,42)(30,40)(31,44)(33,47)(34,46)(35,48)(37,51)(38,52)(39,50)(43,53)(45,54)(49,55);(27,40)(32,46)(36,50)(41,42)(44,54)(47,53)(48,55)(51,52)
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, 1648);
Finite Group Databasebeta