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C₂₃×#2253 #15669872

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

116 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 63 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,27,29)(26,30,31,28)(32,33,35,38)(34,42,44,56)(36,49,47,62)(37,50,48,41)(39,53,51,45)(40,55,52,43)(46,61,60,58)(54,59,57,63);(24,26,27,31)(25,28,29,30)(33,38)(39,51)(40,52)(41,50)(42,56)(49,62)(54,57)(58,61);(32,34,43,59,37,46,47,53,35,44,55,63,48,60,36,45)(33,39,49,58,41,54,52,56,38,51,62,61,50,57,40,42)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 985);