Hi reinhard100,
Thanks for contacting Apple Support Communities!
We understand that you need some assistance in determining how the Contacts are displayed on the iPhone, correct?
Do you know if you're using iCloud Contacts or are they associated with another account? Typically, your contacts will be associated with an email account or iCloud. This article will show you how to check: Manage and delete contacts on your iPhone or iPad - Apple Support
"Set up your contacts account
You can set up your email accounts to share contacts with the Contacts app. If you have a contacts account, like a business or school directory, you can set that up, too.
- Go to Settings > Contacts > Accounts.
- Tap Add Account.
- Tap the service that you have an account with. Or tap Other to set up a contacts account, like an LDAP or CardDAV account.
- Enter your information and password.
- Tap Next.
If you have multiple accounts set up in the Contacts app and want to see contacts for a specific one, open Contacts and tap Lists in the upper-left corner.
Choose a default account to add new contacts
If you set up multiple accounts in the Contacts app, you can choose a default account to add new contacts to:
- Go to Settings > Contacts > Default Account.
- Choose an account."
Once we can determine which account the contacts are associated with, we can troubleshoot from there.
We look forward to your reply.
Cheers!