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C₁₉×#3512 #14561369

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1032 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)(22,26)(24,27)(28,29)(30,35)(31,36)(32,40)(33,34)(37,41)(38,39)(42,43);(20,21,23,25)(22,24,26,27)(29,34)(31,35)(37,40)(39,42);(20,22,23,26)(21,24,25,27)(28,30,33,36)(29,35,34,31)(32,38,41,43)(37,42,40,39);(28,31,33,35)(29,36,34,30)(32,39,41,42)(37,43,40,38);(28,32,33,41)(29,37,34,40)(30,38,36,43)(31,39,35,42)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2244);