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C₂₃×#2244 #15669863

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 47 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)(26,29)(27,28)(30,31)(33,39)(34,45)(35,40)(36,47)(37,41)(42,43)(44,46);(25,28)(29,31)(32,33,40,34,37,43,47,46,38,44,36,42,41,45,35,39);(24,26,27,30)(25,29,28,31)(32,34,35,33,41,39,36,45,38,42,47,44,37,46,40,43)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 976);