Better admin possibilities
Give admins more control, for example make it possible to prohibit groups of users to create groups, make them read-only, hide groups, force onlye private groups.. At our school it's a big problem that teachers now create public groups by mistake. Also studens create a lot of fake not-used groups!
We’re currently working on several aspects of your request. Today, you can use mailbox policies to restrict users from creating groups, but in the very near future, you’ll be able to define a security group of allowed users (your teachers and faculty). You can track our progress on this ask here: http://fasttrack.microsoft.com/roadmap#I-31838
For more updates on EDU specific features read here: https://blogs.office.com/2016/04/14/announcing-new-experiences-for-teachers-and-students-in-office-365-education/#wVxjHJeXeuhzUZVP.97
A. Auras commented
As this post covers several aspects as already mentioned by the MS Product Team. I've created another idea covering the "read-only, hide groups" part: https://office365.uservoice.com/forums/286611-office-365-groups/suggestions/15827140-possibility-to-archive-groups