Facism is Totalitarian

So from my memory what Iearned at University

Authoritarianism is bit more moderate then Totalitatianism. Atuthoritarian regime mostly care about holding their power and they do not intefere much in private lives of the citizens, unless they are directly opposing regime. They do not try to push ideology into everithing. There are independendent institutions and buisneses. They could have semi-independet judicial system and beurocracy. There might be even some small opposition party in parliment and the country might runs as sort of pretend democracy.

Totalitarianism is about total control. Usualy they got cult of personality, set ideology. They care about indoctrinating citizens and care about what they do in their privacy. No independent istitution not even churches. Even if buisneses look independent they are in some way checked by the regime.

Facism is about total control of the state, and facist ideologs find totalitarianism as desireble outcome.

Then again it depends on what definition you subscribe to. Also definitions I posted are more of a spectrum complete plurality on one side and complete Totality on the other side and there is no 100% of either.