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Aliases
Subgroups
108 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 79 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)(60,61,63,62)(64,65)(66,72)(67,75)(68,70)(69,73)(71,77)(74,79)(76,78);(64,66,68,74)(65,69,70,78)(67,76,77,73)(71,79,75,72);(60,62,63,61)(65,70)(69,78)(71,75)(72,79)
Conjugacy classes & character table
1298 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3776, 122);
Finite Group Databasebeta