Finite Group Databasebeta

?

← Prev (#14560934) Next (#14560936) →

C₁₉×#3078 #14560935

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

376 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)(30,36)(31,39)(32,34)(33,37)(35,41)(38,43)(40,42);(20,22,23,27)(21,24,25,26);(28,30,32,38)(29,33,34,42)(31,40,41,37)(35,43,39,36);(29,34)(33,42)(35,39)(36,43)

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, 1810);