Hi there. I'll be honest and direct with you : you are DEFINITELY in the friendzone, sorry! She might not have said it but it will soon happen and will break your heart : "Oh *yourname*, you're such a great friend!" I know how it feels, mate, we've all been through that. Happened to me several times and the most stupid thing you could do would be to tell her "I like you so much" or even worse "I love you" because it will scare her off and she will take advantage of the situation by saying "Oh my God, that's so awkward but you know, I love you too, just not the same way" and you would feel really disappointed... To be honest I think that the friendzone is worse than rejection because at least rejection makes things clear whereas the friendzone enslaves you and you keep believing that "one day she'll love me" and other things like that : sorry, she won't, I know it's hard, I know how it feels because I felt the same way but you can't carry on this way.
You have been going out with her a few times, fine. You don't "really like this girl", you're just attracted, that's normal. So you've got two choices : either you carry on this way and stay lost in the friendzone (and one day she will come with another guy and say : "meet my new boyfriend!"

or you make a move and show her this way that you're interested and you're not interested only in being her friend.
Next time you guys go out, be romantic, make her laugh, show a lot of confidence (without being arrogant) and try and grab her hand softly and gently while you're looking at her. Upon her reaction you will know what comes next : going to her place or yours and have sex or rejection. If she is interested in you and doesn't reject you directly, give her a kiss and hopefully everything will work! If not, then accept the rejection and move on, bro, there are plenty of girls in the world, she's not the only one, but don't make the same mistake again, don't let her think you want to be a friend, show confidence and intentions.
Best of luck