Hey, I started at a new 6th form and I'm in Year 12. I have a similar problem where I get on with people or have friends in lessons but when it comes to break/lunch and outside of school, I'm on my own. I moved schools because when I came out, I lost all of my friends who were fake anyways but it hurts that I'm not making new ones here properly. I don't know what it is, trust or whatever else but it's not nice.
I've tried getting involved with as much as I can, and saying yes to everything (in terms of career opportunities and not party invites cuz I get none.) I hope that within being on the school council or being involved with clubs and programmes, I can make new friends that I can actually hang out with.
If anyone has any advice for me, please let me know!
(btw, I'm not one of those quiet kids, and I would love to make friends and talk with people, but everyone's already in their groups and I dont think they like when new people enter. I've kinda felt it, idk how to explain it.)