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Cognomen Isogai (Isogai , Исогаи) , all around the world, is a rare surname. The family name Isogai is habitual in United Arab Emirates, where it is a rare surname, Japan, where it is a very rare surname, and Belgium. Not in comparison with a country's population, this name is the most popular in Japan, Brazil, and Indonesia. Also, Isogai is the forename as well as the last name.