Finite Group Databasebeta

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C₁₉×#2770 #14560627

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(22,25)(23,24)(26,27)(28,29,32,33)(30,34,35,31)(37,40)(41,42);(21,23)(22,26)(29,33)(31,34)(36,37,39,40)(38,42,43,41);(20,22,24,26)(21,25,23,27)(28,30,32,35)(29,34,33,31)(36,37)(38,41)(39,40)(42,43);(20,23,24,21)(22,27,26,25)(28,31,32,34)(29,35,33,30)(36,38,39,43)(37,41,40,42)

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, 1502);