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C₂₃×#3514 #15671133

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1142 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)(26,31)(27,30)(28,29)(33,36)(37,39);(25,29)(30,31);(24,26,28,27)(25,30,29,31)(32,33)(34,37)(35,36)(38,39);(24,25)(26,30)(27,31)(28,29);(24,27,28,26)(25,31,29,30)(32,34,35,38)(33,37,36,39)

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, 2246);