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Aliases
Subgroups
100 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 91 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)(60,61,66,71)(62,72,76,82)(63,77,79,85)(64,70,65,69)(67,75,83,74)(68,80,84,78)(73,87,89,81)(86,90,91,88);(60,62,65,75,66,76,64,74)(61,67,70,82,71,83,69,72)(63,73,80,90,79,89,78,88)(68,81,85,91,84,87,77,86);(60,63)(61,68)(62,73)(64,78)(65,80)(66,79)(67,81)(69,77)(70,85)(71,84)(72,86)(74,88)(75,90)(76,89)(82,91)(83,87)
Conjugacy classes & character table
944 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3776, 154);
Finite Group Databasebeta