If it is it the state who is targeting a group of people, what recourse do they have to achieve justice?

Going to the supreme court.

Explanation:

If the state who is targeting a group of people, they have to achieve justice by going to the high court first or supreme court because supreme court has the authority to resolve disputes between two groups on the basis of justice. The supreme court has the authority to stop the state from targeting the specific group of people so the people has the option to go to the court for achieving justice.