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Aliases
Subgroups
172 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 73 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)(44,50)(45,53)(47,51)(48,55)(58,59,62,65)(60,63,68,66)(61,69,70,64)(67,72,73,71);(42,43,46,49)(44,51,50,47)(45,48,53,55)(52,57,56,54)(58,59)(60,66)(61,69)(62,65)(63,68)(64,70)(67,71)(72,73);(42,44,46,50)(43,47,49,51)(45,52,53,56)(48,54,55,57)(58,60)(59,63)(61,67)(62,68)(64,71)(65,66)(69,72)(70,73);(42,45)(43,48)(44,52)(46,53)(47,54)(49,55)(50,56)(51,57)(58,61,62,70)(59,64,65,69)(60,67,68,73)(63,71,66,72)
Conjugacy classes & character table
779 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2624, 245);
Finite Group Databasebeta