Exactly. As it is labelled as owner tree, Porsche (the Porsche and Piesch families) owns VW and all its subsidiaries, esp. Audi.
But technically Audi owns the whole group. VW doesn't plan and design the engines, gearboxes and cars, Audi does. VW is more a logistics and SW company now, just with a big brand name, with the cheaper "Audis" labelled as VW.
Porsche designed the beetle (to the sketches of an Austrian painter). VW was founded for making beetles and they did that for decades. VW combined with Audi. Audi people designed the Golf that was the opposite of the beetle. It was a great success.