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C₁₉×#3503 #14561360

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1060 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 35 points:

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

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, 2235);