Not sure if you have a Google Business Profile.

Also, make sure your Google Maps profile is well done, it can be as or more important than the Google Business Profile as it helps shape how you'd like traffic to become interactions with you.

The more useful information is available from your website in structured form, the less it likely will pull structured information from the social links pointing to you. I forget what this is called but I believe it's semantic metadata settings or something, can try to look it up and reply here again.