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C₂₃×#1712 #15669331

• 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)(25,28)(26,29)(30,31)(33,36)(34,37)(38,39);(24,25,29,31,27,30,26,28);(32,33,37,39,35,38,34,36)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 444);