There is a white supremacist group starting to get attention at my uni and I want to shut down as fast as possible. Any ideas on how to get other students with me and how to make sure the direction take punitive action?

Hmm.  Without a lot more information it’s sort-of hard to give solid advice here. 

One idea might be to reach out to student groups that represent the kinds of people targeted by white supremacists to see how they feel on campus these days and to see if they want to take action.

Another idea might be to research university policy on discrimination, human rights, etc. and pressure uni officials to enforce their own policies should this white supremacist group be in violation (and we’d guess that the very existence of a white supremacist group would violate a lot of those policies!).

Maybe it’s time to start an anti-fascist student club?  Here are some thoughts on that.  

Your uni isn’t the first one to encounter this situation, so research what has happened on other campuses.  A couple of years ago the Campus Antifascist Network was helping students oppose fascism at school - maybe see if you can find some active chapters that can advise/support you?