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C₂₃×#2177 #15669796

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

172 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(24,25,27,26)(28,29,31,34)(30,33,39,41)(32,40,38,36)(35,43,42,37);(29,33)(30,37)(32,38)(34,41)(35,36)(39,43)(40,42);(24,26,27,25)(29,34)(33,41)(35,42)(36,40)

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, 909);