I think that pattern is called Crossroads. As others have said, the swastika was a popular pattern because it meant good luck. The only time I associate it with Hitler is if I see the symbol of the Third Reich, the black on red. I have a swastika quilt top that was probably pieced during the 30s. It's yellow swastikas, also called flyfoot, on a lavender background. The maker used solid colors. I think your quilt was probably pieced during the 30s, too. The white fabric might be what they called cotton sateen. It's a little hard to tell from the picture.