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the Eastern Orthodox Church and the Roman Catholic Church
No, the Pope is the head of the Roman Catholic church. The Ecumenical Patriarch is the head of the Eastern Orthodox Church.
the Eastern Orthodox Church
The Orthodox Churches and the Catholic Church were once united. The Orthodox Churches separated from the Catholic Church over political and doctrinal differences.
There are Eastern or Byzantine Rite Catholics but they are in full union with Rome as opposed to the Eastern Orthodox Churches which are not. There was a brief period in the 20th century, when a separate Orthodox Church broke away from the Eastern Orthodox Church in America and formed the America Orthodox Catholic Church. But it was yet another splinter of an already splintered Church. orthodox (small "O") means right belief, and thus is synonymous with Catholic. Now, there is also an Orthodox Catholic Church of America, also not in Communion with the Catholic Church. . You may read about the American Orthodox Catholic Church at the links below.
Roman Catholic AnswerThe Catholic Church is sometimes known as the Western Church to distinguish it from the Eastern Orthodox Church.
The catholic church is sometimes considered the collection of churches that developed out of the Great Schism (namely, the Roman Catholic Church and the Eastern Orthodox Church). Although I have never heard someone use the term "catholic orthodox church," I would consider it to be referring to the Eastern Orthodox Christian religion.
Anyone other than Eastern Orthodox eg Oriental Orthodox, Catholic, Protestant
It is when The Roman Catholic Church and The Eastern Orthodox Church had The Great Schism, in which The Roman Catholic Church broke off The Orthodox Church.
It is called the Orthodox Catholic Church, also known as the Eastern Orthodox or Greek Orthodox Church. It is not however affiliated with Rome or the Roman Catholic Church. They are 2 separate, but similar religions. They believe God is the ultimate head of the Church and recognize no Pope.
Catholic.
There is an Orthodox Church and a Catholic Church. There is no Catholic Orthodox Church.