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C₂₃×#1455 #15669074

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

214 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)(24,25,26,29,27,28,30,31);(32,33,34,37,35,36,38,39);(25,28)(29,31)(33,36)(37,39)

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 187);