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C₂₃×#1526 #15669145

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

226 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)(25,29,30,31)(32,33,36,39,37,34,35,38);(24,25)(26,29)(27,31)(28,30)(32,34,37,33)(35,39,36,38);(24,26,28,27)(25,29,30,31)(32,35,37,36)(33,38,34,39)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 258);