Finite Group Databasebeta

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C₁₉×#2445 #14560302

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

696 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)(21,22)(28,29)(30,34)(31,32)(33,35);(20,21,23,22)(25,27)(29,32)(33,34);(20,21,23,22)(24,25)(26,27)(28,29)(30,33)(31,32)(34,35);(20,22,23,21)(28,30,31,35)(29,33,32,34)

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, 1177);