Is another relationship possible?

My girlfriend broke up with me because I lied to her, I won't specify the lies but I made a huge mistake. But I've always been there through her **** and it's never really felt appreciated, I lied because I was an idiot and I made a mistake, I would never intentionally do it to hurt her feelings ever, I love her too much... Anyway she basically wanted some space for a week, I gave it her and she then said she's wanted to pop up and text me but felt like she can't because it's awkward and that she's really upset and angry, she broke up in the end anyway, but I was willing to give everything to prove to her I was sorry!! But my question is she hasn't taken into account everything I've been through for her, I've never given up on her ever and I've been driven to the edge by some of the stuff I've been through!! I still want her back more than anything, but she says she isn't ready to talk or anything and that it's over...

Has she made this decision in anger and hurt? If I give her space will she finally realise what else I've done for her and come back? If not what can I do to get her back...? Any advice appreciated