Technically yes, though due to its racist policies and industrial-scale genocides, Nazism would have killed way more people if it had as much power as Communism did.
Not trying to excuse or whitewash the atrocities of either, btw
The swast and variations is a few millennia’s old, it’s like India writing about aryans wayyyyy before there was nazis Germany. One group came and f’ed it up lol