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C₂₃×#3332 #15670951

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(24,25,27,29)(26,30,31,28)(33,37)(34,35)(38,39);(24,26)(25,28)(27,31)(29,30)(33,38)(37,39);(32,33,36,38)(34,37,35,39);(26,31)(28,30)(32,34,36,35)(33,37,38,39)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2064);