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C₂₃×#1400 #15669019

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

74 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)(24,25,26,31,27,32,35,43,28,33,36,44,37,45,48,53,29,30,34,40,38,41,46,50,39,42,47,51,49,52,54,55);(25,30)(26,34)(32,41)(33,42)(35,46)(36,47)(45,52)(48,54)

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, 132);