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C₂₃×#3276 #15670895

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(28,29,33,31)(30,36,39,43)(32,41,42,35)(34,37,40,38);(28,30,33,39)(29,34,31,40)(32,37,42,38)(35,43,41,36);(25,27)(28,31,33,29)(30,34,39,40)(32,41,42,35)(36,37,43,38);(30,37)(32,42)(34,43)(35,41)(36,40)(38,39)

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, 2008);