* The specific breed: A ceramic dog resembling a Beagle might be called a "Beagle figurine" or a "Beagle ceramic sculpture."
* The style or purpose: A ceramic dog used as a doorstop might be called a "ceramic dog doorstop," or a decorative one might be called a "ceramic dog ornament."
* The artist or brand: Some ceramic dog figurines are made by specific artists and might be named after the artist or a specific series.
So, there is no single "name of a ceramic dog." You need more context to understand what specific kind of ceramic dog you are looking for.