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C₂₃×#2091 #15669710

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

222 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)(24,25,27,31,28,30,33,37)(26,32,34,38,35,39,36,29);(24,26,33,34,28,35,27,36)(25,29,37,32,30,38,31,39);(25,30)(31,37)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 823);