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C₁₉×#3502 #14561359

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

964 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)(20,21,23,25)(22,26,27,24)(28,29,33,37)(30,35,31,34)(32,36,40,43)(38,42,39,41);(28,30,33,31)(29,34,37,35)(32,39,40,38)(36,42,43,41);(20,22,23,27)(21,24,25,26)(28,31,33,30)(29,35,37,34)(32,39,40,38)(36,42,43,41);(28,32,33,40)(29,36,37,43)(30,38,31,39)(34,41,35,42);(28,29)(30,34)(31,35)(32,36)(33,37)(38,41)(39,42)(40,43)

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, 2234);