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C₂₃×#2682 #15670301

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

668 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)(24,25,26,27)(33,34)(37,38);(29,31)(32,33,36,34)(35,38,39,37);(24,25)(26,27)(28,29)(30,31)(32,34,36,33)(35,38,39,37);(24,25)(26,27)(32,35)(33,37)(34,38)(36,39)

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, 1414);