Finite Group Databasebeta

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C₂₃×#2586 #15670205

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

412 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)(29,31)(32,33,35,36)(34,38,39,37)(42,46)(45,47);(33,36)(37,38)(40,41,44,43)(42,47,46,45);(24,25)(26,29)(27,28)(30,31)(32,33)(34,37)(35,36)(38,39)(40,42,44,46)(41,45,43,47);(24,26,27,30)(25,29,28,31)(32,34,35,39)(33,37,36,38)(40,43,44,41)(42,47,46,45)

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, 1318);