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Family name Zainer (Zainer , Цайнер ) , globally, is a rare last name. The family name Zainer is characteristic of Austria, where it is a rare surname, Czechia, and Croatia, where it is a very rare surname. Not in comparison with a country's population, it is the most numerous in the United States, Brazil, and Austria. Much less frequently, Zainer is the forename as well as the last name.