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C₁₉×#1708 #14559565

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(21,24)(22,26)(25,27)(28,29)(30,36)(31,39)(32,34)(33,37)(35,40)(38,42)(41,43);(28,30,31,37,32,38,40,43)(29,33,35,36,34,41,39,42);(20,21,22,24,23,25,26,27)(29,34)(33,41)(35,39)(36,42)

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, 440);