This paper aims to illustrate the phenomenon of insubordination in Ancient Greek, i.e., the independent and conventionalized use of formally subordinate clauses. First, I explain the fundamentals of the theory of insubordination and then present the well-established research results on two frequent insubordinate clauses in Ancient Greek, namely if- and that-insubordinate clauses. Specifically, I describe five if-insubordinate structures and four that-insubordinate structures. If-insubordinate clauses express wishes, requests, threats, objections, suggestions, and refutations, while that-insubordinate clauses express desires, emphatic assertions, orders, prohibitions, and warnings. The same function can be expressed by several structures and the same structure can have more than one function.