Suggested Groups are Groups that have not been created yet. Those groups do not have a name or group photo. They are displayed under the Suggested Group tab.
Please tap More (o o o) | Edit Profile, Groups & Contacts | Groups Tab | Suggested Groups | Scroll through the list of <Suggest a name> until you see a group you wish to create.
Tap on them to edit and define them. To learn more about Groups check What Are Groups.