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C₂₃×#2774 #15670393

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

368 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)(24,25,28,27)(26,30,31,29)(32,33)(34,38)(35,37)(36,39)(40,41,44,46)(42,43,47,45);(25,27)(26,31)(32,33,35,37)(34,38,39,36)(40,42,44,47)(41,45,46,43);(24,26,28,31)(25,29,27,30)(32,33)(34,36)(35,37)(38,39);(24,27,28,25)(26,30,31,29)(32,34,35,39)(33,36,37,38)(40,43,44,45)(41,42,46,47)

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, 1506);