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C₂₃×#1426 #15669045

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

52 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,30,32,43)(26,35)(27,39)(28,40)(31,46)(33,47,50,55)(34,53,51,45)(36,41)(37,49)(38,48)(42,54,52,44);(24,25,31,47,27,33,26,30,40,51,35,44,36,42,46,53,29,32,49,55,41,50,38,43,28,34,48,54,39,52,37,45)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 158);