"Liberal fascist" is an oxymoron. Which means that it is self-contradictory."

Not necessarily.

The thing is "liberal" is a term than can be, and is, used to refer to just about any political position. For example the Liberal Democratic Party of Russia is an ultranationalist organisation, which is about as far right as you can get. In Australia the Liberal Party are their Conservatives. In America "liberal" appears to be used by fairly extreme rightwingers (who are counted in the States as mainstream), to decribe political positions that elsewhere would be seen as moderate right-of-centre.

Going back to earlier historical meanings, it can be argued that, on a left to right political spectrum, the classic liberal position, on the one hand, and fascism, on the other, are more of less at the centre - the rather significant difference being that fascism is way up the top of the authoritarian spectrum and liberalism is down towards the bottom.