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C₂×C₂₃×#344 #15669362

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

388 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 41 points:

(1,2)(19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41);(3,4)(5,11,12,8)(6,10)(7,9)(13,17,18,15)(14,16);(3,5,6,13,7,12,14,18)(4,8,10,15,9,11,16,17)

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, 475);