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C₂₃×#3507 #15671126

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1012 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(26,30)(28,31)(32,33)(34,41)(35,36)(37,38)(39,44)(40,45)(42,47)(43,46);(24,25,27,29)(26,28,30,31)(33,38)(35,40)(39,41)(42,46);(24,26,27,30)(25,28,29,31)(32,34,37,44)(33,39,38,41)(35,42,40,46)(36,43,45,47);(32,35,37,40)(33,36,38,45)(34,42,44,46)(39,43,41,47);(32,36)(33,40)(34,43)(35,38)(37,45)(39,46)(41,42)(44,47)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2239);