Contacts in Phone App Not Showing in Contacts App

[tspnyc]

I am helping someone set up a new S24. Many contacts show up in her Phone app that are not in her Contacts app.

These came over from a GMail account.

Example, when she is in the Phone App and clicks the Contact icon, and searches for "Sailing," the contact for Sailing Club is there.

But when she goes into the Contacts app and searches for "Sailing," the Sailing Club contact does not appear. And when manually scrolling the Contacts app the Sailing Club contact is not there. This is the case for MANY contacts.

She still has her old S9 and all the contacts are in the Contacts app. 

How is this possible? 

[OmegaMutant]

On the Contacts app can you press the lines. The top option could be maybe 'Phone' or 'Sim' if you tap into it and do you have the option that says 'All Contacts'?