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C₂₃×#2509 #15670128

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

380 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)(26,30)(32,33,36,39)(34,38,35,37)(40,41,45,43)(42,47,46,44);(24,25,27,28)(26,29,30,31)(32,34,36,35)(33,37,39,38)(40,42)(41,44)(43,47)(45,46);(24,25)(26,29)(27,28)(30,31)(32,33)(34,37)(35,38)(36,39)(40,43,45,41)(42,47,46,44);(24,26,27,30)(25,29,28,31)(32,35,36,34)(33,38,39,37)(40,44,45,47)(41,46,43,42)

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, 1241);