Thanks for sharing this idea. Please read through How do I manage Courses and Groups in the Student app on my iOS device? for information on accessing course groups from the Canvas Student app. If you aren't able to find the group using that process, please contact your teacher directly for additional guidance.
Not really important but was referring to below. The web browser group would allow you to see the different groups in the class and its corresponding members. This is especially useful if you want to joing a group. This is just not available in the mobile app. You can only see the group that you belong to once you subscribe to a group through a web browser.