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Aliases
Subgroups
68 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 87 points:
(1,2)(3,9)(4,12,13,7)(5,8)(6,10,14,16)(11,15)(17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87);(1,3,5,11)(2,6,8,14)(4,10,13,16)(7,9,12,15)
Conjugacy classes & character table
923 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4544, 33);
Finite Group Databasebeta