Finite Group Databasebeta

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C₂₃×#3007 #15670626

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

754 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)(28,29,33,37)(30,38,40,43)(31,36,32,35)(34,41,42,39);(28,30)(29,34)(31,39)(32,41)(33,40)(35,38)(36,43)(37,42);(25,27);(28,31,33,32)(29,35,37,36)(30,39,40,41)(34,38,42,43)

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, 1739);