Aircraft carriers at Salerno, Anzio etc.

I’m trying to assemble the list of RN carriers used in support of the four major landing operations in the Mediterranean: Sicily, Salerno, Anzio and Operation Dragoon (landings in southern France). The information in my posession is rather sketchy and I’d greatly appreciate any further input.

For Sicily:
HMS Indomitable
HMS Formidable

For Salerno:
HMS Attacker
HMS Battler
HMS Hunter
HMS Illustrious
HMS Stalker
HMS Unicorn

For Anzio:
(no information) – where any carriers used during that operation?

For Operation Dragoon:
(no information)