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Aliases
Subgroups
348 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 53 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)(30,31,33,35)(32,36,37,34)(38,39)(40,47)(41,45)(42,51)(43,46)(44,50)(48,53)(49,52);(30,32,33,37)(31,34,35,36)(40,48)(44,52)(47,53)(49,50);(38,40,42,50,43,48,41,49)(39,44,45,47,46,52,51,53);(38,41,43,42)(39,45,46,51)(40,49,48,50)(44,47,52,53)
Conjugacy classes & character table
928 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 1894);
Finite Group Databasebeta