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Aliases
Subgroups
1012 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 43 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(22,26)(24,27)(28,29)(30,37)(31,32)(33,34)(35,40)(36,41)(38,43)(39,42);(20,21,23,25)(22,24,26,27)(29,34)(31,36)(35,37)(38,42);(20,22,23,26)(21,24,25,27)(28,30,33,40)(29,35,34,37)(31,38,36,42)(32,39,41,43);(28,31,33,36)(29,32,34,41)(30,38,40,42)(35,39,37,43);(28,32)(29,36)(30,39)(31,34)(33,41)(35,42)(37,38)(40,43)
Conjugacy classes & character table
836 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2239);
Finite Group Databasebeta