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C₁₉×#3401 #14561258

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

368 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)(21,25)(26,27)(28,29)(30,37)(31,35)(32,40)(33,36)(34,39)(38,43)(41,42);(20,21,24,25)(22,26,23,27)(30,38)(34,42)(37,43)(39,41);(20,22,24,23)(21,26,25,27)(28,30)(29,34)(31,39)(32,41)(33,38)(35,43)(36,42)(37,40);(20,23,24,22)(21,26,25,27)(28,31,33,32)(29,35,36,40)(30,39,38,41)(34,43,42,37)

Conjugacy classes & character table

551 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2133);