This is a pare of SS lightning bolts. the can be red, white, or black. It was warn by SS troops also known as Hitler polices force. they were worn on patches witch would be sowed on jacket/shirt, and could be painted on helmet.
The swastika is the most associated symbol an the Nazis, but in some cutlers a swastika means peace. It has been used for over 3,000 years. The word "swastika" comes from the Sanskrit svastika - "su" meaning "good," "asti" meaning "to be," and "ka" as a suffix. Before Hitler the past 3,000 years to represent life, sun, power, strength, and good luck. But Hitler used it to represent the Nazi Party, and Nazi Germany.
This is a "German Iron Cross" and the "Knight's Cross" are metals. They very similar in appearance the difference was easily identified by which part of the uniform it was worn. It was awarded to all ranks of the Wehrmacht, Luftwaffe and Kriegsmarine to recognize officers and men for acts of bravery, heroism and leadership.