Finite Group Databasebeta

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C₁₉×#2781 #14560638

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

434 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)(30,32)(31,33)(34,35)(36,37,40,38)(39,42,43,41);(21,24)(25,27)(29,30)(31,35)(37,38)(39,43);(20,21)(22,25)(23,24)(26,27)(28,30,32,29)(31,34,35,33)(36,38,40,37)(39,42,43,41);(20,22,23,26)(21,25,24,27)(28,31)(29,33)(30,34)(32,35)(36,39,40,43)(37,41,38,42)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1513);