Third Position
Third Position, and various similar terms, such as Third camp, Third International Theory, and Third Way, refer to various ideologies describing themselves as separate from two other ideologies, often also viewing themselves as apart from common conceptions of the political spectrum.
More specifically, the term Third Position is often used to refer to certain views associated with fascism (broad sense), and even more specifically to views associated with Roberto Fiore, notably influential in Italy (Terza Posizione) and in the United Kingdom (where Fiore lived for a time), but also elsewhere.
Influences on Fiore and the Third Position include Julius Evola, Corneliu Zelea Codreanu, Alain de Benoist, Strasserism, and Catholic social teaching associated ideologies such as distributism, among others.
An associated concept is Political Soldier.
Leftist Wikipedia in its article on the Third Position applies it to a very wide variety of organizations and individuals, including to many before Fiore and even to the Nation of Islam, but it may be unclear if these organizations and individuals themselves (significantly) used or use the term Third Position.
The term may have been more popular during the time period when Communism and Communist states were more powerful as a "second position", especially in Europe in the 1970s and 1980s, and may have become relatively less used after the fall of Communism.
The ideology continues to be influential, such as in the Alliance for Peace and Freedom.