The Wikipedia page on Bombardier is ... not especially clear about present ownership, though apparently debt incurred developing the CSeries (Airbus 220) aircraft lead to spin-outs of much of the core business, including large shares (50% and then another acquisition) of CSeries ops by Airbus.
<https://en.wikipedia.org/wiki/Bombardier_Inc.>
The top of the article seems to portray Bombardier as an independent company, other bits not so much.