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C₂₃×#2867 #15670486

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1272 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,27)(29,30)(33,34);(28,29,31,30);(32,33,35,34);(24,25,26,27)(28,30,31,29)(32,34,35,33)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1599);