Political Spectrum: The NAZI's wing side

Many peoples have different thoughts about nazi's wing side in political spectrum, some analysts says that nazi party belongs in to the far-left wing and some says it belongs in to the far-right wing. But which side it belongs?. Before answer this question let's talk about political spectrum far-letf and  far-right wings.

Left: Want more government (but still: more freedom and equality).
LEFT-WING-In politics, left-wing, the political left or simply the left are terms that refer to the segment of the political spectrum typically associated with any of several strains of, to varying extents, socialism, green politics, anarchism, communism, social democracy, progressivism, American liberalism or social liberalism, and defined in contradistinction to its polar opposite, the right. The left often works to eliminate high levels of inequality.
Right: Want less government (but still: conservative = everything should stay as it is)
RIGHT-WING-In politics, right-wing, the political right or simply the right, are terms that refer to the segment of the political spectrum often associated with any of several strains of monarchism, reactionism, conservatism, capitalism, the religious right, nationalism or simply the opposite of left-wing politics. The right advanced capitalism, whereas the left advocated socialism (often democratic socialism) or communism‘

The majority of scholars identify Nazism in practice as a form of far-right politics. Far-right themes in Nazism include the argument that superior people have a right to dominate over other people and purge society of supposed inferior elements. Adolf Hitler and other proponents officially portrayed Nazism as being neither left- nor right-wing, but syncretic. Hitler in Mein Kampf directly attacked both left-wing and right-wing politics in Germany, saying: "Today our left-wing politicians in particular are constantly insisting that their craven-hearted and obsequious foreign policy necessarily results from the disarmament of Germany, whereas the truth is that this is the policy of traitors... But the politicians of the Right deserve exactly the same reproach. It was through their miserable cowardice that those ruffians of Jews who came into power in 1918 were able to rob the nation of its arms"

Why people thinks that they were left-wing socialists.. Yes, the National Socialist Workers Party of Germany, otherwise known as the Nazi Party, was indeed socialist like communists, and it had a lot in common with the modern left. Hitler preached class warfare, agitating the working class to resist ``exploitation'' by capitalists, particularly Jewish capitalists, of course. Their program called for the nationalization of education, health care, transportation, and other major industries. They instituted and vigorously enforced a strict gun control regimen. They encouraged pornography, illegitimacy, and abortion, and they denounced Christians as right-wing fanatics… but the socialism is in the left wing, right?,And for some it belongs in the right-wing because they are nationalist and nationalist are racist, racists belong in the right-wing, they allow capitalism and religions. Yes but they are socialists and their powers are based in totalitarianism which it belongs in to the left-wing .

Which side it belongs?..
I think that Nazi regime was unique in world history in that it unlike any other regime before and after had two faces: it externally pretended to be a left-center force, a left-centrist socialist pro-workers, progressive, industrialist, anti-monarchist, anti-religious, pro-women rights, pro-animal rights, anti-capitalist, anti-monarchist, anti-colonialist party. But in reality it turned out that Nazism was actually far more right than any monarchists, Russian "black-hundreds" and conservatives were before. It was hiding its ultra-right face for a while to achieve popular support.
They are kinda mixed but let say it with percentage, they were 40% left and 60% right-wing, , they were socialists and totalitarian, for my opinion this side is 40% because socialists was the motor of the economy in Germany, and in other side the 60% they were capitalist, nationalists, conservationists and authoritarian.

P.A