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Aliases
Splittings
Subgroups
8 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 108 points:
(1,2,3,4,5,6,7)(9,10,12,16,24)(11,14,20,32,52)(13,18,28,44,38)(15,22,35,57,86)(17,26,40,25,39)(19,30,48,73,79)(21,33,54,81,61)(23,36,58,87,72)(27,42,65,53,80)(29,46,37,59,62)(31,50,76,100,105)(34,55,83,43,67)(41,64,45,69,63)(47,71,94,97,102)(49,74,56,84,89)(51,77,101,108,96)(60,88,91,70,78)(66,92,82,103,90)(68,93,75,98,99)(85,104,106,95,107);(8,9,11,15,23,37,60,35,54,82,71,95,77,64,91,106,46,70,50,40,63,90,28,45,30,49,75,99,108,101,18,29,47,72,96,107,12,17,27,43,68,94,100,58,83,87,98,103,104,92,86,105,74,81,84,65,73,97,48,57,55,80,102,93,69,88,33,52,79,67,44,59,20,32,53,42,66,36,39,62,89,26,41,22,24,38,61,16,25,14,21,34,56,85,76,10,13,19,31,51,78)
Conjugacy classes & character table
175 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3535, 1);
Finite Group Databasebeta