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C₂₃×#3268 #15670887

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

510 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)(35,36)(37,43)(41,42);(28,29,32,36)(30,34,38,42)(31,35,39,33)(37,41,43,40);(25,27)(28,30,32,38)(29,34,36,42)(31,37,39,43)(33,40,35,41);(29,35)(31,39)(33,36)(34,41)(37,43)(40,42)

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, 2000);