This is a tough one:

1 - You've reported her with no action, then
2 - Document behavior and be very specific as to what your grievances are. Your concerns must be both measureable and actionable. Management needs that line of sight because HR & Law will be involved if you escalate. This can end up either nasty or in Court. 
3 - Call a departmental meeting with this Supervisor and lay out your grievances one by one. Let everyone speak - multiple voices with the same message. Again, document. Take MoM.
4 - If this does not work, then elevate. Notify the Manager that did not take action against this Supervisor that you are taking this one level above them for resolution.
5 - Be respectful and constructive at every step. Should you decide to take this to Court at some point, your lawyer has a solid base to work from - progressive dispute resolution.

Lastly, your grievances must pass the "reasonable person" test. That means, would a reasonable person have the same feelings as you.