The Nazi party had a left wing well until just before Hitler was appointed chancellor, when it started causing problems for the man and he had it purged. (A lot of the leaders of this wing of the party were killed in the Night Of The Long Knives.)

Source: I read a biography on Hitler, but I don't have time to go track down the exact citations/references. This page might be a good start:

https://en.wikipedia.org/wiki/Gregor_Strasser