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C₂₃×#2808 #15670427

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

428 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)(26,29)(27,28)(30,31)(33,36)(37,38)(40,41,43,45)(42,46,47,44);(25,27)(26,30)(32,33,35,36)(34,38,39,37)(40,41,43,45)(42,44,47,46);(24,26,28,30)(25,29,27,31)(32,33)(34,37)(35,36)(38,39)(40,41)(42,44)(43,45)(46,47);(24,27,28,25)(26,31,30,29)(32,34)(33,37)(35,39)(36,38)(40,42,43,47)(41,44,45,46)

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, 1540);