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C₂₃×#2657 #15670276

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

844 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)(24,25,26,27)(32,33)(34,36)(35,37)(38,39);(28,29,30,31)(32,33,35,37)(34,36,39,38);(24,25)(26,27)(28,29)(30,31)(32,33)(34,38)(35,37)(36,39);(32,34,35,39)(33,36,37,38)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1389);