Yepp, the public version is a demo which contains the current features exept the ministries (what allows you to continue your ruling). I can confirm in the full version you can conquer the full galaxy, all the factions (getting more concumbines) which is a long grind. The game getting better and smoother but sadly some old element aren't in the game yet like the arenas what make some things useless (like the fighting skill or some fetishes like the dominant and sadist, for example). Promising is if the research will return in the next versions, and I hope something will happen with this missing things too.