A Girl Has No Name
The swaztika long predates the Nazis and has no inherent Nazi meaning (and I believe the Nazis reversed the traditional one anyway). You see it all the time on Buddhist temples.
I thought it was Hindu, but there is a fair amount of overlap. I think it means health.
The Navajo whirling log symbol is also kinda a mirror image of the Nazi swastika (they look like a backwards S, while the swastika looks like a forward S - good luck figuring that out on a woven basket or blanket). There are layers of meaning, all related to peace and harmony - the four sacred mountains of the Navajo nation, the four seasons, and some stuff related to a version of the creation story where the hero of said story navigates a canoe through some whirlpools. This is a pretty decent description of it:
I was appalled the first time I saw it on the Rez. The people who'd never been off the Rez were appalled to find out why I was appalled.