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Aliases
Splittings
Subgroups
32 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 92 points:
(2,3,5,9,17,32,27,43,33,23,41,19,34)(4,7,13,24,42,60,74,48,29,49,40,12,22)(6,11,20,36,57,31,35,56,10,16,30,51,55)(8,15,28,14,26,45,46,68,69,63,39,61,18)(21,38,59,25,44,65,76,78,77,75,79,70,73)(37,54,47,66,58,71,53,50,67,64,52,62,72);(1,2,4,8,16,31,52,71,5,10,19,35,38,60,75,79,13,25,3,6,12,23,34,55,28,48,11,21,39,62,61,57,51,70,26,46,7,14,27,47,56,73,49,69,22,40,32,53,72,42,36,24,43,64,15,29,50,65,59,45,67,78,41,63,17,9,18,33,54,44,66,77,30,20,37,58,74,68,76)(80,81,82,83,84,85,86,87,88,89,90,91,92)
Conjugacy classes & character table
247 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13351, 3);
Finite Group Databasebeta