Finite Group Databasebeta

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C₂₃×#2000 #15669619

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

444 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 39 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)(26,27)(32,33,35,38)(34,36,39,37);(28,29)(30,31)(33,36)(34,39)(37,38);(25,27)(29,31)

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, 732);