Was Hitler a Socialist?

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I understand it as small vs big gov.

As you go right, you want the gov as small as possible and as much capitalist freedom as possible. As soon as the gov disappears you have anarchy. Anarchy is far right.
As you go left, you want the gov as powerful as possible. As soon as the gov controls everything you have communism. Communism is far left. You can't run a communist state without a big gov.

Hitler was a totalitarian leader, meaning that he wanted every aspect of life under his/his party authority.

The thing is, it's very hard to be a tyrant with totalitarian rule without a big gov behind you. For example, North Korea has a totalitarian leader because he has a communist gov that controls everything. The same for China under Mao. The same with the recent example: Venezuela. They couldn't have a totalitarian rule there before turning the country into a communist state. That's what they did.

Communism needs big gov, and big gov needs power centralisation, power centralisation creates a tyrant. This is what has been happening since the French Revolution. The French got rid of the King and tried to control everything to create a new progressive society, anti-monarchist. It created Napoleon. He made himself Emperor (they got rid of the King to get an Emperor) and went out of control.

I understand that the only way Hitler could become a tyrant was through big gov. He had to make the army and the influence over the markets controlled by his party, the National Socialist party. It was essentially communist, even though not internationally communist like the Russians.

I've never seen a society moving towards small gov and big capitalism getting a tyrant as a result. But I always see countries moving towards big gov, socialism and communism and ending up with a tyrant like Hitler.

Whatever he was in his mind, far-right or far-left, he was a big gov ruler. I don't see much difference between him and any other communist ruler.