I would guess nearly any goverment that makes sense as a subsidary to the home government.
A Totalitarian or Religious government will have the same type.
A Charismatic Oligarchy or Dictatorship will probably have a non-charismatic leader. That is, a group at home appoints a single person at a much smaller colony; although an oligarchy is possible as well but I doubt it likely unless the colony is large.
Non-charismatic leader will have any sort of dictatorship or bureaucracy.
Bureaucracies will probably have bureaucracies, but its possible they have a not too drastic oligarchy. Probably never a single individual rule though - the Bureaucracy would never stand for that.
Representative Democracy could have a Bureaucracy or even the same type of democracy, or an Athenian democracy. An Athenian homeworld rule would likely see the same thing offworld, but maybe an oligarchy (even a charismatic one).
Nearly any of them but the most despotic could have a corporate colony or technocracy.
Then again it depends on the nature of the colony. An Athenian Democracy could send out a despotic ruler over a prison colony that mines the vital unobtanium for their life support systems. Or a totalitarian could send out a colony of self willed, self governed Party elite - their summer/get-a-way homes when they're not at home opressing the masses (although that probably doesn't make much sense in terms of Traveller jump times).
I abandoned writing in favour of being in a lot of pain
I just picked up that hobby, tearing some ligiments in my lower back the other day. Writing, and sitting in general, now comes in very short spurts. As does standing. And laying down. I'd try floating but they don't sell grav belts around here just yet...