Avalantis’ WW2 in Greece thread made me think of this because of the Labrys symbol used by Metaxas. The big question: did the Labrys in Ancient times relate to the Swastika symbol? Did it relate to the Fasces symbol? I suspect the swastika did somehow relate to the Labrys and the Fasces symbols in Ancient times, but I don’t know.
I once tried to use the math of cryptopuzzles to show that the Labrys and Swastika symbols artistically corresponded, but the work was considered mediocre.
Labrys was used in Minoan Crete as a religious symbol, never found with gods and always associated with goddesses. Perhaps it was, according to Fritz Schachermeyr, the symbol of the goddess of creation. Since Plutarch wrote that the word is of Lydian origin, it is likely that the object and the religious cult originates from Anatolia. Metaxas used it is EON, his fascist youth organization, as a symbol of the continuation of the Greek race for millennia.
As for the swastika, it is really found in every culture of the world, and a dozens of theories exist about its origin. In ancient Greece was named gammadion and tetraskelion, but its symbolism, if there was any, is not known. Some say it was a emblem of Zeus or a solar symbol. In modern Greece it was used after Heinrich Schliemann discovered the symbol in the site of ancient Troy as a symbol of luck, even in football teams like Apollon Smyrni
Well, the Minoan religion appears to have been goddess-centered, which is why the goddesses have the Labrys in their religion, but in the later Greek Mythology on Crete, Zeus has a Labrys and so does Hephaestus. https://www.cs.mcgill.ca/~rwest/wikispeedia/wpcd/wp/a/Athena.htm
In the Basque Language, the word for swastika is lauburu, which I find striking, although it could be a coincidence.