They are Austrian, based from Vienna, although I belive that they may have an Italian subsidiary ?
They were owned by Nikki Lauda, former world champion F1 driver, but every time there was a financial downturn he sold a bit to Austrian and Lufthansa till they owned the majority and then they kicked him out.
Nikki also flew as Captain on one of his 777s, brought a new angle to "owner-pilot"