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C₂₃×#3506 #15671125

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(30,31)(34,38)(36,39);(25,29)(26,30)(32,33,35,37)(34,36,38,39);(32,34,35,38)(33,36,37,39);(24,26,28,30)(25,27,29,31);(24,27)(25,30)(26,29)(28,31)

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, 2238);