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Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 96 points:
(1,2,3,4,5,6,7)(9,10,11,13)(12,15,16,22)(14,19,20,18)(17,24,25,35)(21,28,29,31)(23,32,33,27)(26,37,38,52)(30,41,42,48)(34,45,46,44)(36,49,50,40)(39,54,55,73)(43,58,59,69)(47,62,63,65)(51,66,67,61)(53,70,71,57)(56,75,76,92)(60,79,80,90)(64,83,84,88)(68,87,85,86)(72,89,81,82)(74,91,77,78)(93,95,96,94);(8,9,12,17,26,39,56,77,73,90,87,62,41,24,36,51,68,84,63,46,33,22,31,44,61,82,75,93,95,91,70,49,32,19,10,14,21,30,43,60,81,71,52,69,88,83,58,37,53,72,80,59,42,29,20,13,18,27,40,57,78,94,96,92,89,66,45,28,15,23,34,47,64,85,67,50,35,48,65,86,79,54,74,76,55,38,25,16,11)
Conjugacy classes & character table
182 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2492, 6);
Finite Group Databasebeta