Domestic dogs are found in "The Cat in the Hat Knows a Lot About That".
In Real Life
There are a lot of different dog breeds. They're grouped in seven categories:
Sporting includes spaniels, retrievers, and pointers.
Hound includes bloodhounds, dachshunds, beagles, and Afghans.
Terrier include scotties, jack russells, and others.
Toy includes Chihuahuas, pugs, and pekingese.
Non-Sporting includes poodles, Dalmatians, and bulldogs.
Herding includes collies, sheepdogs, and German shepherds.
Working includes Great danes, Dobermans, Saint Bernards, and huskies.
Gallery of dogs from the Franchise