Finite Group Databasebeta

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C₂₃×#3287 #15670906

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

504 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)(29,34)(30,32)(31,38)(35,39)(36,40)(42,43);(28,29,33,36)(30,34,32,40)(31,39,38,42)(35,41,43,37);(25,27)(28,30,33,32)(29,34,36,40)(31,37,38,41)(35,42,43,39);(28,31,33,38)(29,35,36,43)(30,37,32,41)(34,42,40,39)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2019);