The Intergalactic Vatican is a federation governed by a space pope. The IV is composed of various races,both sentient and robotic.
The most known race of the IV is The_Dummies.
After that,there are the Failed Experiments,who searched a home when the humans threw them out of Planet Earth.
Then you have the PHI24 who are SHODAN's minions.
As stated earlier,the government of the IV is ruled by a space pope. Tough it has no relation to Earth's christianity,the Dummies worship the spacepope as their god.
The current Spacepope is William Clemens.
The Intergalactic Vatican has no real location. It's scattered around the universe,conquering the available space.