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Aliases
Subgroups
194 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 61 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)(30,31,33,37,34,36,42,44)(32,38,39,45,40,35,41,43)(46,47)(48,55,57,60)(49,58)(50,53)(51,54)(52,56,61,59);(30,32,34,40)(31,35,36,38)(33,41,42,39)(37,45,44,43)(46,48)(47,52)(49,56)(50,59)(51,57)(53,60)(54,61)(55,58);(46,49,51,50)(47,53,54,58)(48,56,57,59)(52,60,61,55)
Conjugacy classes & character table
754 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 269);
Finite Group Databasebeta