In classical political science, yes, Fascism is on the right side of the spectrum.
From left to right
Anarchy - Communism - Socialism - Liberalism - Conservatism - Nationalism - Fascism
This does not mean it matches reality. The ‘right wing’ in America wanta less government, like the classical ‘liberal’ from above. The Socialist and Communist should believe in less government and more control to the people, but in reality, Socialism and Communism are just flavors of government slavery.
Using the term ‘right wing’ is an intentional distortion and attempt to misrepresent the truth. You see the same thing when the media tries to equate a military automatic ‘Assault Rifle’ with the made-up term, ‘Assault Weapon’.