You can view and hide iCloud contact groups on your iPhone, but Apple won't let you create or delete groups or add or delete contacts from any groups unless you're on a tablet or computer. Why Apple refuses to add a group management tool to Contacts on iOS is anybody's guess, but there is a workaround you can use instead. If you want to stick to Apple's recommendations for managing groups in Contacts for iCloud, use the Contacts app on macOS or go to iCloud.com/contacts on your iPad, another tablet, or a computer. Hell, you could even use the web app in desktop mode on an Android phone... more