Finite Group Databasebeta

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C₂₃×#3109 #15670728

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

488 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(26,29)(27,28)(30,31)(32,33)(34,39)(35,37)(36,38);(25,28)(29,31)(33,37)(38,39);(33,38)(34,36)(37,39);(24,26,27,30)(25,29,28,31)(32,34,35,36)(33,39,37,38)

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, 1841);