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C₂₃×#2564 #15670183

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

584 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)(28,29,32,33)(30,31,34,35)(37,38)(39,43);(29,33)(30,34)(36,37,40,38)(39,41,43,42);(24,25,26,27)(28,30)(29,31)(32,34)(33,35)(36,38,40,37)(39,42,43,41);(28,31)(29,30)(32,35)(33,34)(36,39)(37,41)(38,42)(40,43)

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, 1296);