Virgin, in addition to being an airline, is a marketing brand. They sell their name to all sorts of businesses owned and managed by independent investors, Virgin Group/Richard Branson take a minority stake, and a significant fee for the use of the brand, and Branson makes himself available for occasional publicity etc, but they are effectively independent businesses.
They have various levels of success.
In aviation Virgin Blue in Australia, owned by Oz investors, is a spectacular success. Conversely CityJet in Dublin, when they first started out in the 1990s, also became a Virgin franchise but gave it up when they found it contributed little but cost them a lot. There was also, in the 1980s, a Viscount (yes !) operation from Gatwick to Maastricht, with aircraft supplied and crewed by BAF in Virgin livery. Virgin Nigeria and the forthcoming operation in the US are further examples.
Virgin Sun never made money and the owners got rid of it.
The Virgin Trains network in the UK, contrary to what you might think, is owned 50% by Stagecoach, who have some separate trains fully owned as well as their many bus operations. Stagecoach also have indirect ownership of Scot Airways, the LCY operator.
It's a complex world !