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C₂₃×#3277 #15670896

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 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)(24,25)(26,27)(29,33)(31,39)(34,40)(35,42)(36,43)(37,41);(28,29,32,34)(30,36,38,42)(31,40,39,33)(35,41,43,37);(25,27)(29,34)(33,40)(35,43)(36,42);(28,30,32,38)(29,35,34,43)(31,41,39,37)(33,42,40,36)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2009);