In addition the union also wants the weekly ‘Burschibummel’ - an event where fraternity members meet outside the university - to be banned.
In a statement, union representatives asked Vienna University to “make a clear public statement against right-wing extremist and German nationalist ideology, as well as the weekly Burschibummel and the Akademikerball”.
Some Burschenschaften are associated with right-wing or far-right ideas, in particular with the wish for a German state encompassing Austria.
Burschenschaften members identify which organisation they belong to by wearing coloured hats, and sashes around their chests. Catholic student organisations - which are traditionally against pan-German ideas - wear similar costumes.
The University did not want to give a statement to the Austrian Press Agency, as the rector is currently abroad attending a conference.
The umbrella organisation for Catholic student fraternities (ÖCV) criticised the union’s call for a ban, as it felt that Catholic groups would also be affected.
A ban would “infringe on the personal rights of many students,” it said in a press release.