Francisco Franco was a fascist that would make them left wing. But then again he got support from the fascists but I know he resisted them after he took power.
So, I am bit hazy on that war.
Franco was a nationalist first, probably a monarchist second. He had to take his allies wherever he could get them in his fight against the Communists and Internationalists.
To simply slap the fascist label on Franco is to fall for the leftwing propaganda.