Finite Group Databasebeta

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C₁₉×#2854 #14560711

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

688 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)(25,26)(29,32)(30,34);(24,25,27,26)(28,29)(30,33)(31,32)(34,35);(28,29)(30,33)(31,32)(34,35);(20,21)(22,23)(24,26,27,25)(28,30,31,34)(29,33,32,35)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1586);