Hitler was closer to socialism than capitalism in idealogy having been leader of the National Socialist German Workers Party.
The Nazi Government did implement some social programs, yes. But the general order of things was not socialist at all, not even a "planned economy" for that matter.
The Nazis severely mistreated
some industrialists and entrepeneurs they did not like for one reason or another. But most of them (industrialists and entrepeneurs) had more freedom than ever before in Germany.
Nazi Germany was the state they wanted, the state they helped becoming real. And it was all they hoped for.
Nazi Germany was in terms of the economy that major players expierienced very anti-socialist, very chaotic, very classical liberal and very anarchic. There are few dictatorships in the 20th century that implemented as little central planning as Nazi Germany, if there were any at all.
I could speculate on the matter of the origin of your misinformation and the relevance of the fact that it is particular common amongst Americans. But seeing that the thread has allready had it's fair share of broad categorisations, i'll refrain from that...for the moment.
Lets make a deal. You wont call Hiter Socialist, and we wont call him capitalist. Deal?
Since Hitler was by all means a capitalist, that would be a giveaway of Obamanian proportions.
So, at the end of the day, does it make a difference whether you dig a trench or build a bomb?
Building a Pyramid can work as well.
To get an economy out of the ditch you have to pay the unemployed. A fairly seasoned revelation. I'm sure it will reach the "Conservatives" of the Anglosphere eventually.