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C₁₉×#1342 #14559199

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

100 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)(20,21,24,29,26,30,25,41)(22,31,33,45,35,48,34,51)(23,36,38,28,40,46,39,47)(27,37,42,50,44,49,43,32);(20,22,26,35)(21,27,30,44)(23,37,40,49)(24,34,25,33)(28,45,47,51)(29,42,41,43)(31,46,48,36)(32,39,50,38)

Conjugacy classes & character table

380 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 74);