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C₂₃×#3273 #15670892

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

520 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)(28,29,32,35)(30,36,37,43)(31,40,41,34)(33,38,42,39);(28,30)(29,33)(31,38)(32,37)(34,43)(35,42)(36,40)(39,41);(25,27)(30,37)(33,42)(36,43)(38,39);(30,38)(31,41)(33,43)(34,40)(36,42)(37,39)

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, 2005);