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C₂₃×#1412 #15669031

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

94 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)(26,33,35,39)(27,31,37,30)(28,32)(29,34,38,36);(24,26,28,34)(25,29)(27,36,37,35)(30,33)(31,38)(32,39)

Conjugacy classes & character table

322 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 144);