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Strictly speaking, a religious order is a Church-approved congregation vowing poverty, chastity, and obedience that follows one of the four approved religious rules:
The Church has guaranteed that anyone abiding by these rules will be able to save his soul.
The Dominican Order (approved 1216) follows the Rule of St. Augustine.
See: La vida religiosa (Religious Life) by Antonio Royo MarΓn, O.P.