Finite Group Databasebeta

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C₁₉×#3262 #14561119

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

346 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)(30,37)(31,35)(32,34)(33,38)(36,40)(39,41)(42,43);(20,21)(22,25)(23,24)(26,27)(28,30,31,38)(29,33,35,37)(32,39,40,43)(34,42,36,41);(21,24)(25,27)(29,34)(30,38)(32,40)(33,41)(35,36)(37,42);(20,22,23,26)(21,25,24,27)(29,35)(30,38)(34,36)(39,43)

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, 1994);