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C₁₉×#3209 #14561066

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

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, 1941);