<human>: Could you distill the essence of the text into 1-3 sentences?

So far we have only seen each other two days of class since it meets only twice a week. First day of class(Second semester German at Uni) was get to know people day basically. Her and I talked the entire two hours, got along great, found we lived 10 min. from each other outside of college. But myself being a little bit of a dumbass never get's her last name or number. Saw her again today in class but our teacher put everyone in assigned groups in class from the get go, so I never got the chance to talk to her, but about 5 times in the two hours I glanced over, and she was looking at me when she noticed I saw her she started smiling and looked away. At the end of class she was pulled off by her friends in the class so I never even got a chance after either. What would be some tips for asking this girl out, I am feeling by the hints and the way she acts around me that she is somewhat interested too but I am not sure how to ask her out if this is how it is going to be the rest of the semester ( Our prof did say that we will be in these study groups all semester).
<bot>: Signs say she is interested how do I get the chance to ask her out without looking like a fool in front of my entire class. By ask out I mean coffee, I know she really likes coffee as much as I do.