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C₂₃×#3040 #15670659

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

500 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)(30,38)(31,37)(32,34)(33,36)(35,39)(40,43)(41,42);(24,25,26,27)(29,34)(35,42)(36,37)(38,43);(28,30)(29,35)(31,39)(32,40)(33,41)(34,42)(36,38)(37,43);(28,31,32,33)(29,36,34,37)(30,39,40,41)(35,38,42,43)

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, 1772);