Finite Group Databasebeta

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C₂₃×#2511 #15670130

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

388 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)(25,27)(26,30)(33,36)(34,38)(40,41,44,47)(42,46,43,45);(24,25,28,27)(26,31,30,29)(32,33)(34,37)(35,36)(38,39)(40,42,44,43)(41,45,47,46);(24,26,28,30)(25,29,27,31)(40,42,44,43)(41,45,47,46);(24,27,28,25)(26,31,30,29)(32,34,35,38)(33,37,36,39)(40,43,44,42)(41,46,47,45)

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, 1243);