Finite Group Databasebeta

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C₂₃×#3010 #15670629

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

732 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 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)(29,33)(31,38)(34,40)(35,39)(37,42)(41,43);(28,29,32,35)(30,34,36,41)(31,39,38,33)(37,43,42,40);(25,27)(28,30)(29,34)(31,37)(32,36)(33,40)(35,41)(38,42)(39,43);(30,36)(34,41)(37,42)(40,43)

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, 1742);