You don't need to use Student View to check on the setup. Your Group Sets and the Groups within those Group Sets can all be accessed via your "People" page of your course. Here are some Guides for you to review:
It would be great if the assignment's tab identified whether each assignment was for individual students or for groups of students, and if for groups, the name of the group. As is, us instructors have to open each assignment, select Edit, and then scroll down to see if the assignment is for a group and the name of the group.