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C₁₉×#1414 #14559271

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

84 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 51 points:

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

Conjugacy classes & character table

323 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 146);