More in general

The interwar and WW2 legacy has made Fascism and Racism look like synonymous. They are not.

White Racism existed much before Fascism and much after Fascism. Imperial racism of the 19th and previous centuries; the KKK and other American racists of the 20th; African racism of the post-colonial era; all of them are not Fascists, and some of their exponents can even be called anti-fascist. Of course, other non-White variants of racism have rarely even been generally right-wing, like Chinese resistance in the late Empire and civil war era, Black nationalism in the USA, or pan-Arabism in the Middle East - all of them broadly left-wing.

It's more dubious with Fascism in general; however, the original exponent, Mussolini and his Black Shirts, were extreme nationalists but not racists. They did not have any specific anti-Jew policy until after they made an alliance with Hitler's Germany. Many of the other of the European fascist movements who had anti-Jew policies framed them in cultural and political terms, such as anti-Communism [the Balts, Spain, and Romania] and corruption of national traditions [Belgium, Croatia and Hungary], not specifically about racial (or pseudo-racial) terms as was in Germany. And of course, many movements caught in the same political dynamic but who survived the war through whims of history rescued parts of the fascist program while dropping any attempt at racialism, such as most of the non-Communist revolutionary parties everywhere.

Of course, the Fasces is a symbol of republics, predating Fascism, as Wiki refers, for more than 2000 years.