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Aliases
Subgroups
104 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)(32,42)(33,47)(34,53)(35,57)(36,38)(37,43)(39,50)(40,49)(41,55)(44,74)(45,77)(46,69)(48,66)(51,85)(52,68)(54,64)(56,87)(58,70)(59,73)(60,81)(61,80)(62,71)(63,75)(65,92)(67,72)(76,93)(78,83)(79,84)(82,91)(86,89)(88,90);(30,32,36,46)(31,37,38,59)(33,48,52,82)(34,54,56,88)(35,58,55,45)(39,64,62,90)(40,66,63,91)(41,67,57,61)(42,68,69,47)(43,71,73,50)(44,75,76,49)(51,86,84,81)(53,60,87,89)(65,93,78,74)(70,79,77,85)(72,83,80,92);(31,38)(37,59)(39,62)(40,63)(41,57)(42,69)(47,68)(53,87)(60,89)(61,67)(64,90)(65,78)(66,91)(70,77)(74,93)(79,85)
Conjugacy classes & character table
754 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 996);
Finite Group Databasebeta