You can use Awesome Table Connectors to export data from Google Contacts to Google Sheets by logging in with the Google Contacts connector.
In the Awesome Table add-on Home screen, click Create new request.
The list of available connectors is displayed.
Open the Google Contacts connector.
On the Connect to Google Contacts screen, click Sign in with Google.You are redirected to the Google sign-in page.
On the Google sign-in page, choose the account you want to sign in with.
Click Allow to grant Awesome Table permissions.Awesome Table informs you if your connection is successful.