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C₂₃×#1408 #15669027

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(26,33,34,29)(27,31,37,30)(28,32)(35,38,36,39);(24,26)(25,29)(27,36)(28,35)(30,38)(31,33)(32,39)(34,37)

Conjugacy classes & character table

391 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 140);