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C₂₃×#3046 #15670665

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,27)(28,29,33,37)(30,34,39,43)(31,36,32,41)(35,40,42,38);(24,25,26,27)(28,30)(29,34)(31,40)(32,38)(33,39)(35,41)(36,42)(37,43);(28,30)(29,35)(31,38)(32,40)(33,39)(34,41)(36,43)(37,42);(28,31,33,32)(29,36,37,41)(30,38,39,40)(34,35,43,42)

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, 1778);