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C₂₃×#3518 #15671137

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1010 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)(25,28)(29,31)(32,33,38,36)(34,41,35,39)(37,44,45,40)(42,46,43,47);(32,34,38,35)(33,39,36,41)(37,42,45,43)(40,46,44,47);(24,25)(26,29)(27,28)(30,31)(32,35,38,34)(33,39,36,41)(37,43,45,42)(40,46,44,47);(32,36,38,33)(34,39,35,41)(37,44,45,40)(42,46,43,47);(24,26,27,30)(25,29,28,31)(32,37)(33,40)(34,42)(35,43)(36,44)(38,45)(39,46)(41,47)

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, 2250);