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C₁₉×#2794 #14560651

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

344 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)(23,24)(25,27)(29,32)(30,34)(36,37,40,42)(38,39,41,43);(21,24)(25,26)(28,29,31,32)(30,35,34,33)(36,38)(37,39)(40,41)(42,43);(20,22,23,27)(21,25,24,26)(36,39)(37,41)(38,42)(40,43);(20,21)(22,25)(23,24)(26,27)(28,30,31,34)(29,33,32,35)

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, 1526);