Mussolini created fascism in 1919, Hitler was inspired by him and after became much more dangerous. Francisco Franco took power much later. "Fascism" etimology is from "Fasci di combattimento" the political party founded by Mussolini.
the word 'fasces' does not exist in Italian.
From the Italian Treccani dictionary
fascismo s. m. [der. di fascio]. – Movimento politico italiano che trasse origine e nome dai Fasci di combattimento fondati nel 1919 da B. Mussolini
The word "fascism" does not exist in Italian either. We're using English and anglicised words.
The "Fasces" is a group of rods tied together with an axe, dating back to ancient Italian/Roman times, and comes from the Latin fascis ("bundle").
The word fascism no more derives from a political party (which simply pulled the word out of nowhere, did it?) than the words "democrat", "republican" or "communist" do.
