Finite Group Databasebeta

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C₂₃×#2241 #15669860

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(24,25)(26,29)(27,28)(30,31)(32,33,39,34)(35,36,45,47)(37,44,40,41)(38,46,43,42);(25,28)(29,31)(32,34,37,45,38,46,36,44,39,33,40,35,43,42,47,41);(24,26,27,30)(25,29,28,31)(32,35,36,34,43,44,37,42,39,45,47,33,38,41,40,46)

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, 973);