There are different types of personality that a coach can be. While some of them can be permissive, where they allow their students to have a free class. The clients are free to express themselves and do as they like. Authoritarian may be strict with them and would not allow his class turning into something else. He handles all the activities in the class.
There is also authoritative that will make sure that the class is in between authoritarian and permisive classes.
There is also authoritative that will make sure that the class is in between authoritarian and permisive classes.