Finite Group Databasebeta

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C₁₉×#3197 #14561054

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

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, 1929);