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C₂₃×#2104 #15669723

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

178 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)(24,25)(26,32,34,29)(27,30,36,39)(28,31)(33,38)(35,37);(24,26)(25,29)(27,35,36,33)(28,34)(30,38,39,37)(31,32);(24,27)(25,30,31,39)(26,33)(28,36)(29,37,32,38)(34,35)

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 836);