Finite Group Databasebeta

?

← Prev (#15670132) Next (#15670134) →

C₂₃×#2514 #15670133

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

372 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)(32,33,37,35)(34,39,38,36)(42,46)(44,47);(24,25,28,27)(26,29,30,31)(32,34)(33,36)(35,39)(37,38)(40,41,43,45)(42,47,46,44);(24,26)(25,29)(27,31)(28,30)(32,35,37,33)(34,39,38,36)(40,42,43,46)(41,44,45,47);(24,27,28,25)(26,31,30,29)(32,36,37,39)(33,38,35,34)

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, 1246);