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C₁₉×#1426 #14559283

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

Aliases

Subgroups

52 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)(21,26,28,39)(22,31)(23,35)(24,36)(27,42)(29,43,46,51)(30,49,47,41)(32,37)(33,45)(34,44)(38,50,48,40);(20,21,27,43,23,29,22,26,36,47,31,40,32,38,42,49,25,28,45,51,37,46,34,39,24,30,44,50,35,48,33,41)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 158);