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C₁₉×#2254 #14560111

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

128 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,23,25)(22,26,27,24)(29,33)(30,37)(31,38)(34,39)(35,43)(36,42)(40,41);(20,22,23,27)(21,24,25,26);(28,29,34,43,31,35,30,33,32,36,37,41,38,40,39,42)

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, 986);