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C₂₃×#1385 #15669004

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

124 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)(24,25,28,34,31,36,30,46)(26,37,39,52,41,53,44,48)(27,35,29,45,43,51,42,33)(32,40,47,38,50,54,49,55);(24,26,29,40,28,44,43,55,31,41,42,54,30,39,27,38)(25,32,35,48,46,47,33,37,36,50,51,52,34,49,45,53)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 117);