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C₂₃×#1733 #15669352

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

404 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)(24,25,26,27)(28,29)(30,36)(31,39)(32,35)(33,38)(34,40)(37,42)(41,43);(28,30)(29,33,35,41)(31,38)(32,37)(34,36,39,42)(40,43);(30,37)(33,41)(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, 465);