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C₁₉×#2496 #14560353

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(21,22)(24,25,27,29)(26,30,31,28)(34,38)(36,39);(20,21,23,22)(24,25)(26,28)(27,29)(30,31)(32,33,35,37)(34,39,38,36);(24,25)(26,28)(27,29)(30,31)(32,34)(33,36)(35,38)(37,39);(20,22,23,21)(24,26,27,31)(25,28,29,30)

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, 1228);