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C₂₃×#1933 #15669552

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

256 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)(28,29,31,30)(33,37)(34,39)(35,38);(28,30,31,29)(32,33,35,37,36,34,38,39);(25,27)(32,34,35,39,36,33,38,37)

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, 665);