The ownership structure of the international airline is different to that of the domestic airline.
Domestic airlines are allowed to be 100% foreign owned, whereas Australian designated international carriers must be 51% Australian owned.
The exception to all of this is Qantas by virtue of the Qantas sale act - how exactly it differs I couldn't tell you as I have not bothered to look other than I remember the discussion when VA split itself up into different entities in order to facilitate the differing ownership structures.