I don't know. There are about 5 or 6 political parties in Hungary. Communist party called the "workers' party." The other one is called the socialist party. The right extremists who caused the riot are from the nationalist party if I am right. They oppose joining the EU, and they oppose a lot of other things as well... I don't know a lot about Hungary's politics, but "extreme right" over there has a totally different meaning than over here in America.
MSM often label some political parties as „extreme”, “ultra”, “far”. From my experience, this is usually liberal bias.