Finite Group Databasebeta

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C₁₉×#1424 #14559281

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

56 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,22,23)(25,30)(26,35)(27,36)(28,39)(31,38)(32,47)(33,50)(34,44)(37,46)(40,53)(41,42)(43,48)(45,54)(49,55)(51,52);(24,25,31,45,27,32,37,43,39,48,52,47,53,54,26,30,29,34,35,42,40,49,51,50,28,33,46,55,36,41,38,44)

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, 156);