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C₂₃×#3188 #15670807

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(26,30)(27,29)(28,31)(32,33)(34,39)(35,38)(36,37);(24,26)(25,28)(27,31)(29,30)(32,34,35,36)(33,37,38,39);(26,31)(28,30)(33,37)(34,36)(38,39);(25,29)(28,30)(33,38)(37,39)

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, 1920);