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C₂₃×#1924 #15669543

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

280 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 39 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)(29,30)(32,33,36,38,35,34,37,39);(28,29,31,30)(32,34,36,39,35,33,37,38);(25,27)(28,30,31,29)(33,34)(38,39)

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, 656);