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C₂₃×#2832 #15670451

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

416 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,28)(29,31)(32,33)(34,36)(35,37)(38,39)(40,41,44,43)(42,45,46,47);(26,30)(29,31)(33,34)(37,38)(41,43)(45,47);(24,25)(26,29)(27,28)(30,31)(32,34,36,33)(35,37,39,38)(40,42,44,46)(41,45,43,47);(24,26)(25,29)(27,30)(28,31)(32,35,36,39)(33,37,34,38)(40,43,44,41)(42,45,46,47)

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, 1564);