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Aliases
Subgroups
930 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 51 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,24,25)(22,28,29,26)(23,31,32,27)(30,33,35,34)(36,37)(38,43)(39,44)(40,48)(41,42)(45,49)(46,47)(50,51);(21,25)(22,29)(27,31)(30,35)(37,42)(39,43)(45,48)(47,50);(20,22,24,29)(21,26,25,28)(23,30,32,35)(27,33,31,34)(36,38,41,44)(37,43,42,39)(40,46,49,51)(45,50,48,47);(20,21)(22,26)(23,27)(24,25)(28,29)(30,33)(31,32)(34,35)(36,39,41,43)(37,44,42,38)(40,47,49,50)(45,51,48,46);(20,23,24,32)(21,27,25,31)(22,30,29,35)(26,33,28,34)(36,40,41,49)(37,45,42,48)(38,46,44,51)(39,47,43,50)
Conjugacy classes & character table
722 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2297);
Finite Group Databasebeta