Below is a list of the six rites of the Catholic Church, followed by which [self-governing] Churches are contained within them.
Latin (or Roman) Catholic Church
Ethiopian Catholic Church
West Syrian (or Antiochene) Rite
Syro-Malankara Catholic Church
East Syrian (or Chaldean) Rite
Syro-Malabar Catholic Church
Constantinopolitan (or Byzantine) Rite
Belarusian Catholic Church
Bulgarian Greek Catholic Church
Byzantine Church of Croatia, Serbia and Montenegro (or Križevci Catholic Church)
Greek Byzantine Catholic Church
Hungarian Greek Catholic Church
Italo-Albanian Catholic Church
Macedonian Catholic Church
Melkite Greek Catholic Church
Ruthenian Catholic Church (also known as the Byzantine Catholic Church in America)
Ukrainian Greek Catholic Church
We can see that each of these Churches come from distinct cultural backgrounds, and from all corners of the earth, yet each of these twenty-four Churches all profess the same Catholic Faith. How wonderful that our holy Catholic Church has such a multitude of traditions (small “t”) while keeping the same unbroken Tradition (big “T”) from apostolic times.
From article at: Ascension Press
See also this chart breaking it down into dioceses, with bishops and cardinals. You’ll notice that the Latin rite is by far the largest which is why some of us don’t always know about the other rites!
But these are NOT denominations, and they all are under the same pope!