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Aliases
Subgroups
392 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)(32,35)(33,34)(36,37)(38,39,42,43)(40,44,45,41)(47,50)(51,52);(31,33)(32,36)(39,43)(41,44)(46,47,49,50)(48,52,53,51);(30,32,34,36)(31,35,33,37)(38,40,42,45)(39,44,43,41)(46,47)(48,51)(49,50)(52,53);(30,33,34,31)(32,37,36,35)(38,41,42,44)(39,45,43,40)(46,48,49,53)(47,51,50,52)
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, 1502);
Finite Group Databasebeta