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C₁₉×#1415 #14559272

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

82 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)(24,25)(26,30)(27,39)(28,42)(29,34)(31,35)(32,36)(33,40)(37,49)(38,45)(41,55)(43,51)(44,50)(46,54)(47,52)(48,53);(25,30)(26,35)(27,36)(28,40)(31,32)(33,49)(34,45)(37,54)(38,52)(39,43)(41,53)(42,44)(46,55)(47,48)(50,51)

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, 147);