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C₁₉×#3397 #14561254

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

406 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)(21,25)(26,27)(29,32)(30,34)(33,35);(20,21,24,25)(22,26,23,27)(29,33)(32,35);(20,22,24,23)(21,26,25,27)(28,29)(30,35)(31,33)(32,34);(20,23,24,22)(21,26,25,27)

Conjugacy classes & character table

551 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2129);