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C₂₃×#3162 #15670781

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

348 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)(24,25,27,29)(26,30,31,28)(32,33)(34,41)(35,39)(36,45)(37,40)(38,44)(42,47)(43,46);(24,26,27,31)(25,28,29,30)(34,42)(38,46)(41,47)(43,44);(32,34,36,44,37,42,35,43)(33,38,39,41,40,46,45,47);(32,35,37,36)(33,39,40,45)(34,43,42,44)(38,41,46,47)

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, 1894);