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C₂₃×#3227 #15670846

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

404 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)(26,31)(27,30)(28,29)(33,36)(34,38)(37,39);(24,26,27,28)(25,29,30,31);(25,29)(26,28)(30,31)(32,33,35,37)(34,39,38,36);(25,30)(29,31)

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, 1959);