Finite Group Databasebeta

?

← Prev (#14560300) Next (#14560302) →

C₁₉×#2444 #14560301

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

610 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(24,25)(26,28)(27,30)(29,31)(32,33)(34,38)(35,37)(36,39);(21,23)(25,26)(29,30)(32,33,35,37)(34,36,39,38);(20,21)(22,23)(24,26,28,25)(27,30,31,29)(32,33)(34,36)(35,37)(38,39);(24,27)(25,29)(26,30)(28,31)(32,34)(33,36)(35,39)(37,38)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1176);