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Aliases
Subgroups
452 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)(24,25,29,34,30,33,28,42)(26,35,37,31,38,46,43,45)(27,32,41,47,39,48,40,52)(36,49,51,44,50,54,53,55);(24,26)(25,31)(27,36)(28,43)(29,37)(30,38)(32,44)(33,45)(34,46)(35,42)(39,50)(40,53)(41,51)(47,54)(48,55)(49,52);(24,27,29,41,30,39,28,40)(25,32,34,47,33,48,42,52)(26,36,37,51,38,50,43,53)(31,44,46,54,45,55,35,49);(25,33)(27,39)(31,45)(34,42)(35,46)(36,50)(40,41)(51,53)
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, 1689);
Finite Group Databasebeta