Hate group
Flags commonly used by hate groups include (clockwise from top-left): the white supremacist Celtic cross, the Nazi flag, the SS flag, and the Confederate battle flag
A hate group is a social group that advocates and practices hatred, animosity, hostility, malice, and/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."