Finite Group Databasebeta

?

← Prev (#14560833) Next (#14560835) →

C₁₉×#2977 #14560834

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

422 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)(28,29,31,34,32,35,38,41)(30,33,37,40,36,39,42,43);(20,22)(21,24)(23,27)(25,26)(28,30)(29,33)(31,37)(32,36)(34,40)(35,39)(38,42)(41,43);(22,27)(24,26)(30,36)(33,39)(37,42)(40,43);(21,25)(24,26)(30,36)(33,39)(37,42)(40,43)

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1709);