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Cognomen Shug (Shug , شوج , شوغ) , throughout the world, is a rare last name. The surname Shug is characteristic of Oman, where it is a rare surname, Czechia, and Chile, where it is a very rare surname. Measured by absolute frequency, it most frequently occurs in the United States, Oman, and Brazil. Likewise, Shug is the forename as well as the last name.