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C₂₃×#1829 #15669448

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

272 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)(24,25,27,31,28,29,35,36)(26,32,34,39,33,30,37,38);(25,29)(27,35)(30,32)(34,37);(24,26)(25,30,29,32)(27,34)(28,33)(31,38,36,39)(35,37)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 561);