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C₁₉×#3538 #14561395

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1014 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(21,24)(22,26)(28,29,33,35)(30,36,38,31)(32,40,41,34)(37,39,43,42);(21,24)(25,27)(28,30,33,38)(29,31,35,36)(32,37,41,43)(34,39,40,42);(20,21)(22,25)(23,24)(26,27);(20,22)(21,25)(23,26)(24,27)(28,31)(29,30)(32,39)(33,36)(34,37)(35,38)(40,43)(41,42);(28,32,33,41)(29,34,35,40)(30,37,38,43)(31,39,36,42)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2270);