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Aliases
Subgroups
364 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 77 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)(40,44)(41,43)(42,45)(46,47,51,55)(48,52,57,66)(49,59,61,69)(50,62,64,54)(53,63,68,60)(56,70,71,77)(58,74,73,67)(65,75,76,72);(38,40,41,45)(39,42,43,44)(46,48)(47,52)(49,56)(50,58)(51,57)(53,65)(54,67)(55,66)(59,70)(60,72)(61,71)(62,74)(63,75)(64,73)(68,76)(69,77);(40,45)(42,44)(46,49,51,61)(47,53,55,68)(48,56,57,71)(50,63,64,60)(52,65,66,76)(54,69,62,59)(58,75,73,72)(67,77,74,70);(39,43)(42,44)(48,57)(52,66)(56,71)(58,73)(65,76)(67,74)(70,77)(72,75)
Conjugacy classes & character table
962 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 1955);
Finite Group Databasebeta