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C₁₉×#3539 #14561396

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1050 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)(30,33)(31,36)(32,37)(34,38)(35,40)(39,41)(42,43);(21,24)(25,27)(29,30)(31,38)(35,37)(39,43);(20,21)(22,25)(23,24)(26,27)(28,30,33,29)(31,36,38,34)(32,37,40,35)(39,42,43,41);(20,22)(21,25)(23,26)(24,27)(28,31)(29,34)(30,36)(32,39)(33,38)(35,41)(37,42)(40,43);(28,32,33,40)(29,35,30,37)(31,39,38,43)(34,41,36,42)

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, 2271);