Hitler and the Nazis were far-right politically:
Hitler's initial Rage was against the Left-leaning 'November Criminals' which he and many other former soldiers blamed for Germany losing WWI.
Hitler only used the term socialism because he thought that it was a right-wing ideology and also was equal to aryan/german nationalism:
'NATIONAL' AND 'SOCIAL' ARE TWO IDENTICAL CONCEPTIONS. It was only the Jew who succeeded, through falsifying the social idea and turning it into Marxism, not only in divorcing the social idea from the national, but in actually representing them as utterly contradictory. That aim he has in fact achieved. At the founding of this Movement we formed the decision that we would give expression to this idea of ours of the identity of the two conceptions: despite all warnings, on the basis of what we had come to believe, on the basis of the sincerity of our will, we christened it ''National Socialist.'
- speech, Munich, April 1922
The Nazis were far-Right because they were first and foremost supremacists:
http://en.wikipedia.org/wiki/Far_right
…Far-right politics and political views commonly include authoritarianism, homophobia, nativism, racism, sexism, and xenophobia
http://en.wikipedia.org/wiki/Supremacism
http://tpmmuckraker.talkingpointsmemo.com/2010/05/far-right_extremists_gather_at_liberty_convention.php?ref=mp
"...Hitler's campaign was largely focused on scaring people about the dangers of the Bolshevik menace.
Before Hitler got to power, he re-assured German industrialists that he would respect private property and fight labor unions. Hitler was also bankrolled by industrialists.
Hitler only got to power with the help from the conservatives in the "Enabling Act" (left wing social democrats opposed it, communists had been arrested after the fire falsely blamed on them).
After Hitler got to power, he sent thousands and thousands of communists, social democrats and unionists into concentration camps and killed the communist leaders in Germany. He outlawed labor unions and guaranteed corporate profits for Krupp & Co.
Many of Hitler's moral values were perfectly compatible with typical Christian-conservative parties. He appealed to family values, destroyed "indecent" art and literature, had homosexuals arrested and killed, abortion of "Aryans" outlawed etc. He created extensive youth and family programs. He openly embraced Catholicism ("the basis of our collective morals").
Hitler did place heavy restrictions on industry production, imports, prices etc. But he did not outlaw corporations -- in fact, the profits of the large corporations soared during his regency. Many businessmen (except, of course, for the Jewish ones) continued to support Hitler and his party with much needed funds, knowing full well that he would make sure that communism couldn't gain a foothold. Ultimately, Hitler was of course interested in absolute power -- that's why we call his politics fascist.
To call Hitler left-wing or socialist is ignorant to the extreme, and an insult to the millions who lost their lives fighting his politics. The strongest and most persistent resistance to Hitler's politics came from communists and socialists. The biggest support came from conservatives and businessmen..."
http://en.wikipedia.org/wiki/Talk%3AHanseatic_League