The adjective intergalactic describes something that's in between galaxies. An intergalactic star, for example, is not inside a galaxy, but between them — it's also called a "rogue star."
You can call anything that relates to galaxies, or exists between them, intergalactic. If we were able to travel at the speed of light, intergalactic travel — travel from one galaxy to another — might be possible. The prefix inter- means "between" or "among," and it's followed by galactic, "pertaining to our galaxy," from the Late Latin root galaxias, "the Milky Way."