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Family name Genet (Genet , Jennet , جينيت ) , across the world, is a widespread cognomen. The surname Genet is habitual in Ethiopia, where it is a common surname, France, where it is quite a common surname, and Lebanon, where it is quite a rare surname. Measured by absolute frequency, this name is the most popular in Ethiopia, France, and Nigeria. Much less frequently, Genet is the forename as well as the last name.