A group has no rights, period. Individuals have rights, those rights extend to where there are groups (see First Amendment). The idea that groups have rights is simply the mistake of the far left wing, and their "Group Politics", and a big reason why Civil Rights Movement has failed.
I forget, who was that said, "Corporations are people my friends." Was that some far left-winger? Corporations are groups of people. A corporation is an entity designed to indemnify the individuals of the corporation against personal liability. Yet, corporations are now provided some of the same rights as individual people. It's like reverse double jeopardy.