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Aliases
Subgroups
38 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)(30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93);(31,61)(32,92)(33,59)(34,90)(35,57)(36,88)(37,55)(38,86)(39,53)(40,84)(41,51)(42,82)(43,49)(44,80)(45,47)(46,78)(48,76)(50,74)(52,72)(54,70)(56,68)(58,66)(60,64)(63,93)(65,91)(67,89)(69,87)(71,85)(73,83)(75,81)(77,79)
Conjugacy classes & character table
1015 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 162);