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Aliases
Subgroups
106 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 93 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)(30,31,33,38,34,39,46,56,35,40,47,57,49,59,68,78,36,41,48,58,50,60,69,79,51,61,70,80,71,81,86,91)(32,37,43,53,44,54,65,75,45,55,66,76,67,77,85,90,42,52,62,72,63,73,82,87,64,74,83,88,84,89,92,93);(30,32)(31,37)(33,43)(34,44)(35,45)(36,42)(38,53)(39,54)(40,55)(41,52)(46,65)(47,66)(48,62)(49,67)(50,63)(51,64)(56,75)(57,76)(58,72)(59,77)(60,73)(61,74)(68,85)(69,82)(70,83)(71,84)(78,90)(79,87)(80,88)(81,89)(86,92)(91,93);(32,42)(37,52)(43,62)(44,63)(45,64)(53,72)(54,73)(55,74)(65,82)(66,83)(67,84)(75,87)(76,88)(77,89)(85,92)(90,93)
Conjugacy classes & character table
2320 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 990);
Finite Group Databasebeta