Finite Group Databasebeta

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C₁₉×#3057 #14560914

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

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

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1789);