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C₂₃×#1822 #15669441

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

272 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)(32,33,35,39,36,38,42,45)(34,37,40,44,41,43,46,47);(25,28)(29,31)(32,34,36,41)(33,37,38,43)(35,40,42,46)(39,44,45,47);(24,26,27,30)(25,29,28,31)(33,38)(35,42)(37,43)(40,46)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 554);