Actually, the Church prohibits membership in ANY type of “secret society,” meaning any society in which the rules are not made known until the person becomes a member. The most well-known example is that no Catholic man may become a Mason, and no Catholic woman may become an Eastern Star (the female counterpart of Masonry).
The basis of this prohibition is obvious: how can a person make an oath to uphold rules that he has not yet been made aware of? What if he makes the oath, and discovers the rule is contrary to morals? Now he has made an oath to something immoral. BUZZZZ.
Therefore, the Constitutions of all Catholic Religious Orders must be submitted to the Holy See for approval, and these must be made publically known. In the pre-Internet age, finding these Constitutions might have been somewhat tedious, simply because of the limitations of information distribution, but it is trivial today. If you give me the name of any approved Catholic Religious Order, I think I could find their Constitutions in a matter of minutes.
However, there are “rules” that might apply only within specific provinces, or even within specific individual communities, or even to individual members of those communities. There is nothing in the Jesuit Constitution that says what time Jesuits must get up each morning. This would be something specific to each Jesuit community. The general schedule of their duties would largely depend upon their particular vocation. Jesuits, for example, are heavily involved in Catholic education, so their daily schedules would largely revolve around the class times of the educational institutions that they serve. If a Jesuit college offered night classes, a Jesuit instructor might be permitted to rise at Noon, or in the afternoon etc, which would differ from his counterparts who taught morning classes.