Finite Group Databasebeta

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C₁₉×#3329 #14561186

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 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)(20,21,23,25)(22,26,27,24)(28,29,33,36)(30,34,32,41)(31,38,40,42)(35,39,43,37);(20,22)(21,24)(23,27)(25,26)(28,30,33,32)(29,34,36,41)(31,39,40,37)(35,38,43,42);(28,31,33,40)(29,35,36,43)(30,37,32,39)(34,42,41,38);(22,27)(24,26)(29,36)(34,41)(35,43)(38,42)

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, 2061);