Britain's own failed Mussolini, Oswald Mosley was a Labour MP before he became a fascist: https://en.wikipedia.org/wiki/Oswald_Mosley#Crossing_the_flo...
After the split from Labour and failing to see success in his own New Party he went on a study tour of Italy and it's here you see the sharp turn towards the right wing and the formation of the BUP which was obviously authoritarian corporate fascism, strongly anti-Communist, and frequently clashed with Jewish groups.
As dragonwriter notes in his posts in this thread, corporatism is something that's sometimes shared among these ideologies but the gulf between those ideologies can still be pretty large, authoritarian nationalism inherently excludes certain groups in societies and is worlds apart from some other forms of socialism even if the goal of both is to end or reduce class conflict.