Finite Group Databasebeta

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C₂₃×#2807 #15670426

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

408 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)(34,38)(35,36)(37,39)(40,41,44,45)(42,46,47,43);(25,28)(29,31)(33,36)(34,39)(41,45)(43,46);(24,25)(26,29)(27,28)(30,31)(32,33)(34,37)(35,36)(38,39)(40,42,44,47)(41,46,45,43);(24,26,27,30)(25,29,28,31)(32,34,35,39)(33,37,36,38)(40,43,44,46)(41,47,45,42)

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, 1539);