Swastika

Swastika is composed of su- meaning "good, well" and asti "to be". Suasti thus means "well-being." The suffix -ka, meaning "soul", suastika might thus be translated literally as "that which is associated with well-being," corresponding to "lucky charm" or "thing that is auspicious." -From Wikipedia

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Jainism

Shows the cycles of birth and death we may be born into any one of the four destinies: heavenly beings, human beings, animal beings, (including birds, bugs, and plants) and hellish beings.

Hinduism

It’s a symbolic representation of Ganesha. Ganesha is widely revered as the Remover of Obstacles  and more generally as the Lord of Beginnings and the Lord of Obstacles, patron of arts and sciences, and the deva of intellect and wisdom.

Zoroastrian religion of Persia

It was a symbol of the revolving sun, infinity, or continuing creation

Chinese Tang Dynasty

It was used as an alternative symbol of the Sun.

Tibetan mythology

It is the sign of Agni, the god of the sun, of fire and of creation. And always, with a clockwise or anticlockwise, with a curved or straight arm, it is the symbol of good fortune.

Illyrians

It was symbolizing the Sun. The Sun cult was the main Illyrian cult, and the Sun was represented by a swastika in clockwise motion, and it stood for the movement of the Sun.

Sami

An object very much like a hammer or a double axe is depicted among the magical symbols on the drums of Sami shamans, used in their religious ceremonies before Christianity was established. The name of the Sami thunder god was Horagalles, thought to be derived from "Old Man Thor" (Þórr karl). Sometimes on the drums, a male figure with a hammer-like object in either hand is shown, and sometimes it is more like a cross with crooked ends, or a swastika.

Thor

The swastika symbol in the Germanic Iron Age has been interpreted as having a sacral meaning, associated with Thor.

Hilda Ellis Davidson theorized that it was associated with Thor’s hammer Mjolnir - symbolic of thunder - and possibly being connected to the Bronze Age sun cross.

“The protective sign of the hammer was worn by women, as we know from the fact that it has been found in women's graves. It seems to have been used by the warrior also, in the form of the swastika. [...] Primarily it appears to have had connections with light and fire, and to have been linked with the sun-wheel. It may have been on account of Thor's association with lightning that this sign was used as an alternative to the hammer, for it is found on memorial stones in Scandinavia besides inscriptions to Thor. When we find it on the pommel of a warrior's sword and on his sword-belt, the assumption is that the warrior was placing himself under the Thunder God's protection.” - Hilda Ellis Davidson

He went on to theorize that the swastika symbol was possibly being connected to the Bronze Age sun cross. The runic inscription on the Sæbø sword (ca. AD 800) has been taken as evidence of the swastika as a symbol of Thor in Norse paganism. In older literature, the symbol is known variously as gammadion, fylfot, crux gothica, flanged thwarts, or angled cross.

Emile Burnouf

She is thought to have started the use of the swastika as a symbol of the Aryan race.

Guido Von List

He was born in Vienna in 1848. He believed it to be a uniquely Aryan symbol. He says that the Swastika was "twice high holy secret of constant generation, the swastika is the very act of creation ", he based this on Norse legend about the creation of the universe.

Theosophical Society

In The Secret Doctrine, 1888, Madame Blavatsky describes the universe as having fallen from pure spirit into base matter, darkness and chaos, but soon it will rise once more to reach the pinnacle of spirituality. She claims that this knowledge, and more, she has learned through initiation into the Mysteries of seven esoteric symbols. For her, each cycle of creation has associated with it seven stages of human evolution. Stages she calls "root races." The race which will begin once more, the ascent from darkness to the light of the spirit, she names, "Aryan" the sign of is the swastika.

Ordo Novi Templi (Order of the New Templars)

The swastika was used with an "Aryan" meaning by the  secret society. Earlier in 1904, [Adolf Joseph] Jörg Lanz von Liebenfels, founder of the societ, published his book Theozoologie ("Theozoology"). On December 25, 1907 the Order of the New Templars hoisted at Werfenstein Castle (Austria) a yellow flag with a swastika and four fleurs-de-lys. - José Manuel Erbez. "Order of the New Templars 1907". Flags of the World. January 21, 2001.

Nazi

The swastika was adopted by the Nazi party On May the 20th, 1920 and everywhere it was a sign of a new and powerful force a deepening fascination with the arcane, the esoteric and the occult. Hitler used the swastika as a symbol for the NSDAP because it of its use by the Thule Society. In Mein Kampf, Hitler described the swastika: “…in the swastika the mission of the struggle for the victory of the Aryan man, and, by the same token, the victory of the idea of creative work, which as such always has been and always will be anti-Semitic.”