Up to six Navy sailors have been sacked or ordered to justify their jobs over racist and anti-Muslim Facebook posts.

But despite suspicions raised by Fairfax Media in January, a formal investigation has found that no sailor belongs to the racist Australian Defence League.

Chief of Navy Ray Griggs said in a statement on Tuesday that the investigation had found that "a number of personnel have … been found to have made inappropriate comment on social media or to have an affiliation with different social media groups that are not consistent with our values".

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