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C₂₃×#2777 #15670396

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

378 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,27,28)(26,29,30,31)(32,33)(34,35)(36,37)(38,39)(40,41,45,47)(42,44,43,46);(25,28)(26,30)(33,37)(35,38)(40,42,45,43)(41,46,47,44);(24,25)(26,29)(27,28)(30,31)(32,34)(33,38)(35,37)(36,39)(40,43,45,42)(41,46,47,44);(24,26,27,30)(25,29,28,31)(32,35,36,38)(33,34,37,39)(40,44,45,46)(41,42,47,43)

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, 1509);