Should I just move on and stop the friendship and don't look back?

I'm feeling left out in my friend group. What should I do? Suddenly after they left me and went with others,(to attend another bday celebration) during a night out in which I wasn't invited in. I felt so isolated as they were hinting for me to go, by saying " Liz is waiting for us, there." Because I heard it, repeatedly, I decided just to go home at 9pm.. Feeling hurt and helpless. Confronted the main people who suddenly isolated me, after a week or so. I thought by having a serious conversation with these people, we would solve the issue. Yes, I got carried away, and became emotional, venting what I was feeling (I even cried, because of anger) , my other friend "kinda" said sorry, but my other friend, didn't, and justified what they did to me. And despite of what they did to me, apparently I'm the evil one, because according to "them", they were hurt because I told them what I felt during the night out. Instead of accepting the fact that they hurt me, by ditching me in the middle of our "friend group" night out, they justified what they did and played "the victims" and they even want me to apologize and reach out to them. Should I just move on and stop the friendship and don't look back?