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C₂₃×#2932 #15670551

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(28,29,32,36,33,35,41,42)(30,34,38,31,37,39,43,40);(25,27)(28,30)(29,34)(31,36)(32,38)(33,37)(35,39)(40,42)(41,43);(28,31,32,39,33,40,41,34)(29,30,36,38,35,37,42,43);(29,35)(30,37)(36,42)(38,43)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1664);