How to get a girl to fit in more?

Anonymous
There's this girl at uni that seems to be trying a bit too hard to fit in. She's in the same course but I'm not actually friends with her. I know her because one of my best mate likes her and couldn't shut up about her. Anyways what I realize about her is:

1) She's a kind polite girl (no problems there)

2) Has friends although doesn't sit next to them during class.

3) Keeps on bouncing between different "social circles" (no higher or lower circles, just different).

4) Appears and try to join in to a group of people in our class during breaks, but fails to integrate. At the end of it, its normally her whos left standing while everyone leaves to do what they do.

5) Avoids my mate's gaze whenever she joins in to a convo that includes him and others (I think she knows my mate likes her, not sure if she likes him).

6) She tries to hang around with my group even though it included my best mate during break times more often than other groups.

7) Its mostly just small talk with her.

8) She has loads of free time.

9) Don't see her hanging out with anyone in particular.

9) She's OK looking, not my type but I know some people who find her attractive.

Don't get me wrong, trying to know more people is great, just that we are now in our 3rd year and her methods ain't getting her anywhere.

Being a guy, I don't want to get too close to her, but I do want her to be more secure and fit in with at least a group in our class. Her actions are starting to be more noticeable, even my friend who likes her feels its weird.

Has anyone know someone like this, or can someone tell me how I could make her fit in more? Thanks
How to get a girl to fit in more?
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