WineboyNapa,
Thanks for getting back to us. You'd be managing groups of contacts on iCloud.com. This article will explain further: Create and manage groups of contacts on iCloud.com
"When you create a contact, it’s placed in the All Contacts group. To help organize your contacts and make them easier to find, you can create additional groups."
What do you see when you view your contacts synced to iCloud through a computer's browser? Are they all email addresses there too?
Also we'd suggest updating to iOS 16.2 to rule out this being related to an outdated version of iOS. Here's how: Update your iPhone or iPad.
"Update your iPhone or iPad wirelessly
- Back up your device using iCloud or your computer.
- Plug your device into power and connect to the internet with Wi-Fi.
- Go to Settings > General, then tap Software Update.
- If you see more than one software update option available, choose the one that you want to install.
- Tap Install Now. If you see Download and Install instead, tap it to download the update, enter your passcode, then tap Install Now. If you don't know your passcode, learn what to do."
Let us know what happens.
Have a fantastic day!