Useful Tools:

[url=https://en.wikipedia.org/wiki/Education_in_Japan]Education in Japan[/url] - The average/expected age of a first year is 18, though anime rules might make for exceptions.
[url=https://en.wikipedia.org/wiki/List_of_universities_in_Japan]Universities in Japan[/url] - What I like to do is research majors in critical universities when I do stuff like this. Accuracy and Immersion and all that.

With that out of the way, I'm working on my character. As for group name suggestions, well my favorite club anime is [i][b]Genshiken[/b][/i] which is short for [i]Gendai Shikaku Bunka Kenkyūkai[/i] or "The Society for the Study of Modern Visual Culture" - so figuring out a good name and running through some proper Japanese context could be good. Or we can go the route of K-ON! and simply calling it the University's "Alternative Music Club" or something of that matter.