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Aliases
Subgroups
72 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 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)(30,31,34,39,36,42,55,41)(32,43,45,72,48,73,47,79)(33,49,52,80,54,82,87,81)(35,56,51,40,58,68,86,70)(37,59,60,75,62,74,71,44)(38,63,65,88,67,90,66,53)(46,77,76,91,78,92,57,64)(50,69,83,89,85,93,84,61);(30,32)(31,37)(33,50)(34,45)(35,57)(36,48)(38,64)(39,60)(40,69)(41,71)(42,62)(43,49)(44,53)(46,51)(47,55)(52,83)(54,85)(56,61)(58,76)(59,63)(65,77)(66,92)(67,91)(68,89)(70,93)(72,80)(73,82)(74,90)(75,88)(78,86)(79,81)(84,87)
Conjugacy classes & character table
1102 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 149);
Finite Group Databasebeta