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C₂₃×#3288 #15670907

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

464 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)(25,30)(27,28)(31,38)(32,36)(33,39)(34,37);(24,25)(26,33)(27,36)(28,30)(29,32)(31,34)(35,38)(37,39);(24,25)(26,31)(27,30)(28,36)(29,32)(33,34)(35,39)(37,38);(24,26)(25,31)(27,37)(28,34)(29,35)(30,38)(32,39)(33,36)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2020);