A hate group is a social group that advocates and practices hatred, hostility, or violence towards members of a race, ethnicity, nation, religion, gender, gender identity, sexual orientation, or any other designated sector of society. According to the United States Federal Bureau of Investigation (FBI), a hate group's "primary purpose is to promote animosity, hostility, and malice against persons belonging to a race, religion, disability, sexual orientation, or ethnicity/national origin which differs from that of the members of the organization."
Examples of hate group symbols: the white nationalist Celtic cross the Odal rune the white power raised fist the Iron Cross with the Nazi swastika the SS Sig runes the SS Totenkopf