Finite Group Databasebeta

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C₂₃×#2800 #15670419

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

420 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)(32,33,35,37)(34,38,39,36)(41,44)(45,46);(25,28)(29,31)(40,41,43,44)(42,46,47,45);(24,25,27,28)(26,29,30,31)(32,33)(34,36)(35,37)(38,39)(40,41)(42,45)(43,44)(46,47);(24,26,27,30)(25,29,28,31)(32,34,35,39)(33,36,37,38)(40,42,43,47)(41,45,44,46)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1532);