Finite Group Databasebeta

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C₁₉×#3252 #14561109

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

348 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)(21,24)(22,26)(28,29,32,36)(30,33,37,41)(31,34,39,35)(38,42,43,40);(20,21)(22,25)(23,24)(26,27)(28,30)(29,33)(31,38)(32,37)(34,42)(35,40)(36,41)(39,43);(21,24)(25,27)(29,34)(30,37)(31,39)(33,40)(35,36)(41,42);(20,22,23,26)(21,25,24,27)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1984);