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Aliases
Subgroups
5796 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 6 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)(22,27)(23,28)(24,36)(25,26)(29,37)(30,40)(31,45)(32,38)(33,42)(34,48)(35,39)(41,46)(43,49)(44,51)(47,50);(21,26)(27,38)(28,39)(29,36)(40,42)(41,45)(43,48)(50,51);(20,22,25,32)(21,27,26,38)(23,33,35,30)(24,31,37,46)(28,42,39,40)(29,41,36,45)(34,47,49,44)(43,51,48,50);(20,23,25,35)(21,28,26,39)(22,30,32,33)(24,34,37,49)(27,40,38,42)(29,43,36,48)(31,44,46,47)(41,50,45,51);(20,21)(22,27)(23,28)(24,29)(25,26)(30,40)(31,41)(32,38)(33,42)(34,43)(35,39)(36,37)(44,50)(45,46)(47,51)(48,49);(20,24)(21,29)(22,31)(23,34)(25,37)(26,36)(27,41)(28,43)(30,44)(32,46)(33,47)(35,49)(38,45)(39,48)(40,50)(42,51)
Conjugacy classes & character table
1235 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2327);
Finite Group Databasebeta