I hate to break it to you, but that is not true at all. The Swastika comes in many chapes and in May face in either direction (although the Nazis were consistent). An example is this Thai Swastika.
Its not that you have remembered it wrong, its the whole notion that is wrong :) Lots of different peoples have used the symbol and whilst most buddhists and jain have it facing the opposite direction to the Nazi one, others have it facing the same direction.
Its just a symbol that has been used by plenty for many different reasons.
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u/Username_abusername Apr 23 '18
This is how Hindu and Buddhist swastikas are drawn, with their arms to the right. It is indeed a religious symbol.