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C₂₃×#3366 #15670985

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

396 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)(25,28)(29,30)(33,36)(34,38)(37,39);(24,25,27,28)(26,30,31,29)(33,37)(36,39);(32,33)(34,39)(35,37)(36,38);(24,26,27,31)(25,29,28,30)

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, 2098);