Finite Group Databasebeta

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C₁₉×#2981 #14560838

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(22,26)(23,25)(24,27)(28,29,32,36,31,35,39,43)(30,34,38,42,37,33,40,41);(20,22)(21,24)(23,27)(25,26)(28,30)(29,33)(31,37)(32,38)(34,35)(36,41)(39,40)(42,43);(22,27)(24,26)(28,30)(29,34)(31,37)(32,38)(33,35)(36,42)(39,40)(41,43);(21,25)(24,26)(29,35)(30,37)(36,43)(38,40)

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, 1713);