Finite Group Databasebeta

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C₁₉×#2545 #14560402

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 points:

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

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, 1277);