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Aliases
Subgroups
338 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 69 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29)(30,31)(32,35)(33,34)(36,37)(38,39,43,47)(40,44,49,57)(41,51,54,66)(42,55,52,46)(45,59,60,53)(48,61,63,69)(50,65,62,58)(56,67,68,64);(31,34)(35,37)(38,40,43,49)(39,44,47,57)(41,48,54,63)(42,50,52,62)(45,56,60,68)(46,58,55,65)(51,61,66,69)(53,64,59,67);(38,41,52,59,43,54,42,53)(39,45,55,66,47,60,46,51)(40,48,62,67,49,63,50,64)(44,56,65,69,57,68,58,61);(30,32,33,36)(31,35,34,37)(40,49)(44,57)(48,63)(50,62)(56,68)(58,65)(61,69)(64,67)
Conjugacy classes & character table
928 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 1909);
Finite Group Databasebeta