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C₂₃×#2712 #15670331

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

556 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

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, 1444);