Quote Originally Posted by Enkidoh View Post
To my knowledge there is no mention at all of the Allag "taking the Empire to the stars" or anything
The description for the Hyperstellar Downconverter in Azys Lla suggests otherwise. From page 166 of EE1 (but I think also in the sightseeing log in-game):

Engineers surmise that the Hyperstellar Downconverter was developed to communicate with Dalamud, the false moon containing Bahamut which had been propelled into the heavens. It was later repurposed and improved upon to facilitate communication over the massive distances between stars.
So... space colony? Unmanned probes? Omega trying to phone home?