A swastika can be seen painted on a teepee in the Indian village when Quanah is leaving. This is a curious and controversial choice of decoration by the set designers with WWII still fresh in everyone's mind in 1959. Makes you wonder who chose this symbol and why.
"Swastika" is a Sanskrit word meaning "well-being." Throughout most of history, it has been associated with order and stability, and is an ancient religious icon in the cultures of Eurasia. In North America, it is widely used by a number of southwestern American Indian tribes; among various tribes, the swastika carries different meanings.
In the Western world, it was a symbol of auspiciousness and good luck until the 1930s. As a result of WWII and the Holocaust, many people in the West still strongly associate it with Nazism and antisemitism. The swastika continues to be used as a symbol of good luck and prosperity in Hindu, Buddhist and countries such as Nepal, India, Mongolia, Sri Lanka, China and Japan.