Finite Group Databasebeta

?

← Prev (#14560981) Next (#14560983) →

C₁₉×#3125 #14560982

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

384 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)(22,25)(23,24)(26,27)(28,29,31,35)(30,37,38,33)(32,34,40,36)(39,42,43,41);(21,24)(25,27)(28,30,31,38)(29,33,35,37)(32,39,40,43)(34,41,36,42);(29,34)(32,40)(33,41)(35,36)(37,42)(39,43);(20,22,23,26)(21,25,24,27)(30,38)(33,37)(39,43)(41,42)

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, 1857);