Finite Group Databasebeta

?

← Prev (#14560599) Next (#14560601) →

C₁₉×#2743 #14560600

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

448 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)(20,21,24,22)(23,26,27,25)(28,29)(30,31)(32,33)(34,35)(36,37)(38,41)(39,43)(40,42);(21,22)(23,27)(29,33)(31,35)(36,38,40,43)(37,41,42,39);(20,22,24,21)(23,26,27,25)(28,30,32,34)(29,31,33,35)(36,38)(37,39)(40,43)(41,42);(20,23)(21,25)(22,26)(24,27)(28,31)(29,34)(30,33)(32,35)(36,39)(37,38)(40,41)(42,43)

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, 1475);