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A rite is not a separate church. A rite represents an ecclesiastical tradition about how the sacraments are to be celebrated. As the early Church grew and spread, it celebrated the sacraments as would be best understood and received in the context of individual cultures, without ever changing their essential form and matter. The early Church sought to evangelize in the major cultural centers of the first centuries A.D. These centers were Rome, Antioch (Syria), and Alexandria (Egypt). All the rites in use today evolved from the liturgical practices and ecclesiastical organization used by the churches in these cities.
The Catholic Encyclopedia describes the situation this way: "Within the Catholic Church ... Canonical rites, which are of equal dignity, enjoy the same rights, and are under the same obligations. Although the particular churches possess their own hierarchy, differ in liturgical and ecclesiastical discipline, and possess their own spiritual heritage, they are all entrusted to the pastoral government of the Roman pontiff, the divinely appointed successor of St. Peter in the Primacy.
The error in your chart is the title and so is your thread title. A rite is not a denomination.