PATRIARCH.
Patriarchs are the bishops who head certain ancient autocephalous or sui iuris churches, which are a collection of metropolitan sees or provinces. After the First Ecumenical Council at Nicea, the church structure was patterned after the administrative divisions of the Roman Empire wherein a metropolitan or bishop of a metropolis came to be the ecclesiastical head of a civil capital of a province or a metropolis. Whereas, the bishop of the larger administrative district, diocese, came to be called an exarch. In a few cases, a bishop came to preside over a number of dioceses, i.e., Rome, Antioch, and Alexandria.
At the Fourth Ecumenical Council at Chalcedon in 451, Constantinople was given jurisdiction over three dioceses for the reason that the city was "the residence of the emperor and senate". Additionally, Jerusalem was recognized at the Council of Chalcedon as one of the major sees. In 692, the Quinisext Council formally recognized and ranked the sees of the Pentarchy in order of pre-eminence, at that time Rome, Constantinople, Alexandria, Antioch, and Jerusalem. In the Catholic Church, Patriarchs sometimes call their leaders Catholicos; the Patriarch of the Coptic Orthodox Church of Alexandria, Egypt, is called Pope, meaning 'Father'. While most patriarchs in the Eastern Catholic Churches have jurisdiction over a "ritual church" (a group or diocese of a particular Eastern tradition), all Latin Rite patriarchs, except for the Pope, have only honorary titles.
In 2006, Pope Benedict XVI gave up the title of Patriarch of the West. The first recorded use of the title by a Roman Pope was by Theodore I in 620. However, early church documents, such as those of the First Council of Nicaea (325) had always listed the Pope of Rome first among the Ancient Patriarchs (first four, and later five: Rome, Constantinople, Alexandria, Antioch and Jerusalem—collectively referred to as the Pentarchy). Later, the heads of various national churches became Patriarchs, but they are ranked below the Pentarchy.
PRIMATE.
A primate is usually the bishop of the oldest church of a nation. Sometimes this carries jurisdiction over metropolitan bishops, but usually it is purely honourific. The primate of the Scottish Episcopal Church is chosen from among the diocesan bishops, and, while retaining diocesan responsibility, is called Primus.
METROPOLITAN.
A metropolitan bishop is an archbishop in charge of an ecclesiastical province, or group of dioceses, and in addition to having immediate jurisdiction over his own archdiocese, also exercises some oversight over the other dioceses within that province. Sometimes a metropolitan may also be the head of an autocephalous, sui iuris, or autonomous church when the number of adherents of that tradition are small. In the Latin Rite, metropolitans are always archbishops; in many Eastern churches, the title is "metropolitan," with some of these churches using "archbishop" as a separate office.
ARCHBISHOP.
An archbishop is the bishop of an archdiocese. This is usually a prestigious diocese with an important place in local church history. In the Catholic Church, the title is purely honorific and carries no extra jurisdiction, though most archbishops are also metropolitan bishops, as above, and are always awarded a pallium.
SUFFRAGAN BISHOP.
A suffragan bishop is a bishop subordinate to a Metropolitan. In the Catholic Church this term is applied to all non-metropolitan bishops (that is, diocesan bishops of dioceses within a metropolitan's province, and auxiliary bishops).
TITULAR BISHOP.
A titular bishop is a bishop without a diocese. Rather, the bishop is head of a titular see, which is usually an ancient city that used to have a bishop, but, for some reason or other, does not have one now. Titular bishops often serve as auxiliary bishops. In the Ecumenical Patriarchate, bishops of modern dioceses are often given a titular see ).
AUXILIARY BISHOP.
An auxiliary bishop is a full-time assistant to a diocesan bishop (the Catholic and Eastern Orthodox equivalent of an Anglican suffragan bishop). An auxiliary bishop is a titular bishop, and he is to be appointed as a vicar general or at least as an episcopal vicar of the diocese in which he serves.
COADJUTOR BISHOP.
A coadjutor bishop is an auxiliary bishop who is given almost equal authority in a diocese with the diocesan bishop, and the automatic right to succeed the incumbent diocesan bishop. The appointment of coadjutors is often seen as a means of providing for continuity of church leadership.
CRDINAL In Catholicism,
A cardinal, a title dating back to the 8th century, is a member of the clergy appointed by the pope to serve in the College of Cardinals. This body is empowered to elect a new pope in sede vacante, but cardinals over the age of 80 may not be electors. Cardinals serve as advisors to the pope and hold positions of authority within the structure of the Catholic Church. Under modern canon law, a man who is not a bishop who is appointed a cardinal must accept ordination as a bishop, or seek special permission from the pope to decline ordination. Most cardinals are already bishops at the time of their appointment, the majority being archbishops of important archdioceses or patriarchs, and a substantial portion of the rest already titular archbishops serving in the Vatican.
Recent popes have appointed a few priests, most of them influential theologians, to the College of Cardinals without requiring them to be ordained as bishops; invariably, these men are near or over the age of 80, and consequently not eligible to take part in a conclave.