Club is a good start! Do you like the people there? Ask if they want to grab food together after the club meeting sometime. Or invite them over for snacks, drinks (if you can obtain in a way you're comfortable with), videogames etc at your place or at a common space.

If you don't like them so much, or even if you do, try other clubs, IM sports, join a chorus or band or orchestra, a cappella group, etc. These things have built in socializing and often produce lifelong friendships.

Biggest thing I can say is that if you aren't already getting invited to stuff, invite people to your own stuff. Other people are probably having the same socializing trouble, so you can go ahead and fix it for everyone.