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C₁₉×#3179 #14561036

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

374 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1911);