There are swastikas facing both directions as religious symbols, but not angled Hakenkreuz like the Nazis tended to use. There also isn't a fasces or anything like that, although I feel like that's a less widely recognized symbol (and of course it is used in non-fascist contexts as well).
It's referred to officially as "FARSI SYMBOL", which apparently was a euphemism chosen because during ISO standardization of Unicode the original name "SYMBOL OF IRAN" was deemed unacceptable. As a logo, it wouldn't make it into the standard today, but nobody knows how it originally got in there:
