A religious order is a group that gathers together around a particular way of life (like the Rule written by St. Benedict) or a particular charism, like teaching, missionary work or healthcare. Common orders would include Domincans, Benedictines, Franciscans, Ursulines, Carmelites.
The correct title for those who belong to a religious order is
Consecrated Life. All nuns, brothers, monks consecrate their lives to Christ by professing certain vows. Vows may include any of the following:
- Obedience
- Chastity
- Poverty
- Silence
- Stability (a promise to stay in one monastery for the rest of your life)
Some men living consecrated life are further called to Holy Orders as a deacon or priest. But this is secondary to their calling to consecrate their lives to our Lord by joining a particular religious order.
So in your example, the Jesuits have both brothers and priests. But they are Jesuits
first and foremost, because they follow the teachings of their founder, St. Ignatius of Loyola. The charism of the Jesuits is teaching, especially at the college level - thus that is why they founded and run Creighton University in Omaha.
Hope that helps!
Deacon Chris
PS: Although “religious order” is used in a generic way there are actually several types of groups that are similar, and, are not strictly speaking “religious orders.” For example, the Jesuits (Society of Jesus) is a
society, not an order – or the Vincentians (Congregation of the Missions) is a
congregation, not an order. The differences are not huge, but there are differences. Most people would be surprised to know that the Jesuits are not an “order,” for example.