Erik Prince tried to get an armed COIN aircraft to support his PMC... presumably had he succeeded that would have expanded to a squadron at some point.
Also, I don't believe the Knights of Malta count as a PMC, given that they claim to be a legitimate government that claims (though it doesn't actually hold) territorial jurisdiction; but at one point just post-WW2 they technically owned large parts of the Italian Air Force, in order to allow NATO to pretend the Italian Air Force remained below the limits set out in the relevant peace treaty.
There aren't a lot of naval PMCs that operate actual warships, but presumably that's primarily because pirates don't rise to a threat level that would justify that kind of investment. Depending on your definitions of carriers it certainly wouldn't be difficult to convert a large freighter to launch and land on helicopters- I believe that around the time of Op Eagle Claw an American oil company proposed converting an oil tanker to serve as a mothership for future rescue attempts.
As far as armored divisions go were back to the same problem as with warships- plenty of PMCs operate armored vehicles today, you just need a contract worth enough money to justify raising forces on a division-level scale.
Also, I don't believe the Knights of Malta count as a PMC, given that they claim to be a legitimate government that claims (though it doesn't actually hold) territorial jurisdiction; but at one point just post-WW2 they technically owned large parts of the Italian Air Force, in order to allow NATO to pretend the Italian Air Force remained below the limits set out in the relevant peace treaty.
There aren't a lot of naval PMCs that operate actual warships, but presumably that's primarily because pirates don't rise to a threat level that would justify that kind of investment. Depending on your definitions of carriers it certainly wouldn't be difficult to convert a large freighter to launch and land on helicopters- I believe that around the time of Op Eagle Claw an American oil company proposed converting an oil tanker to serve as a mothership for future rescue attempts.
As far as armored divisions go were back to the same problem as with warships- plenty of PMCs operate armored vehicles today, you just need a contract worth enough money to justify raising forces on a division-level scale.