Dominator: "while attacking...", and no limits like "once per turn", "against a ship", or anything like that.
So Dominator could potentially dish out an anti-squadron attack of 3 blue dice to up to 5 squadrons all in one shot (granted, you'd be stripped of shields).
Add a CF-4 against a single squadron.
Add Agent Kallus-5 against a hero (4 against up to 5 Heros).
Add Leading Shots-you get to reroll whiffs.
Add Quad Laser Turrets-doesn't need to waste a ship attack.
Add the interdoctor with Wulff-shields for days
Add another doctor with Aresko-shields for weeks