A neo-Nazi who was one of dozens of protesters outside NSW parliament earlier this month has had his visa cancelled and will be deported back to his native country, South Africa.

Immigration Minister Tony Burke confirmed this evening that Matthew Gruter has been ordered to leave Australia.

"If you are on a visa you are a guest. If you're a citizen you're a full member of the Australian family," Burke said.

"Like with any household, if a guest turns up to show hatred and wreck the household, they can be told it's time to go home."

Gruter was one of the roughly 60 black-clad neo-Nazis from the National Socialist Network who protested outside NSW Parliament House on November 8 with a large sign reading "abolish the Jewish lobby".

One of the other men who took part, Cooper Stephens, has b

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