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Aliases
Subgroups
70 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)(30,31,34,40,37,42,36,60)(32,43,45,74,48,76,47,83)(33,49,52,84,55,86,54,91)(35,56,51,72,59,67,58,41)(38,61,62,44,64,78,70,80)(39,65,68,90,69,89,85,53)(46,81,77,66,82,93,57,75)(50,71,87,92,79,73,88,63);(30,32,37,48)(31,38,42,64)(33,50,55,79)(34,47,36,45)(35,57,59,77)(39,66,69,75)(40,70,60,62)(41,71,72,73)(43,49,76,86)(44,53,80,90)(46,51,82,58)(52,88,54,87)(56,63,67,92)(61,65,78,89)(68,81,85,93)(74,91,83,84)
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, 152);
Finite Group Databasebeta