There are no ranks above colonel. Qadaffi mistrusted the army and it is not a professional or powerful organization, as in Egypt.
Qadaffi holds no serious title, like president or Prime Minister. Theoretically, the country is ruled by a series of local councils. The structure is similar to Mussolini's Corporate state, in which there are corporations for various occupations. As with Italian Fascism, the official structure is mostly for show. But unlike Italian Fascism, Libya has no Duce (Leader).
Libya was an Italian colony for many decades prior to independence in the early 1950's.