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C₂₃×#3333 #15670952

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(32,33,37,41)(34,42,43,47)(35,40,36,39)(38,45,46,44);(24,26)(25,28)(27,31)(29,30)(34,43)(38,46)(42,47)(44,45);(32,34,37,43)(33,38,41,46)(35,44,36,45)(39,42,40,47);(26,31)(28,30)(32,35,37,36)(33,39,41,40)(34,44,43,45)(38,42,46,47)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2065);