There is a Liverpool supporters club based in Glasgow, in fact someone from there signed up as GlasgowRed or something like that on here, and you can find them by googling I think.
Last time I checked they met on a few different places on Sauchiehall St. I once emailed them when I first came to here (Glasgow) for Uni but they never got back to me so I just watch the games with a few others out in the west end usually.
I'd say get in touch with them (http://www.glasgowreds.com
) I think that's it. Although the homepage seems behind by a few months so I don't know if that means you'll get a quick reply.
Can't say if it's worth it or anything because I've never met up with them. But that's the only group I know of.