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C₂₃×#2484 #15670103

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

512 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)(25,27)(29,30)(31,35)(36,37,39,41)(38,40,43,42);(28,29,32,30)(31,33,35,34)(36,38)(37,40)(39,43)(41,42);(24,25)(26,27)(28,30,32,29)(31,34,35,33)(36,37)(38,42)(39,41)(40,43);(28,31)(29,33)(30,34)(32,35)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1216);