Note: Google Groups is for creating an e-mail address for a group of people. For example, we have a google group email address called firstname.lastname@example.org. If someone sends an email to this address, it goes to everyone in our department. There are many already created by the district just like there used to be. Groups are not the same as a personal contact list, because anyone in the district can use a group. Because anyone can use it, it's important to not use groups for lists including parents or others outside the district.
Unless you are creating a group that many other people will need to use, it is best to simply create a contact list in your own gmail that is only for your own use.
How to Create a Group