Yes, group projects are a pain. However, once you are working as an NP, you may have to do some group work. At any rate, I went through some similar troubles. Usually, if I sent out an email and text reminding everyone that we need to get going on the project, that would suffice. In addition, appoint someone as "project manager" and have task assignments - Jane does this, Joe does that, etc. Also have a schedule - first draft by such and such a date, final version by a certain date and time, and then indicate who will do the final edits and turn it in. Allow sufficient time for that, along with some contingency in case something happens like the power fails, etc.
I did have one disastrous group project in 3.5 years of ABSN and MSN studies, and of course, it was the last semester of the MSN. Very little got done, despite my constant reminders. I was not in a position to do this whole project by myself. I went to the professor at the last minute and boy, did I learn a lesson. You are well within your rights to notify the professor that the group members are not doing their work. Just don't wait until the last minute! Notify the professor as soon as possible, as then you can be reassigned to a different group or you can be graded differently. If you end up doing all the work, why should the other group members get the credit for your work? In my own situation, I was lucky - I got a decent grade and the other group members got Cs.