Paraphrased from the official site:

Pat, (usually referred to as “Lucky’s Dad”) is a Labrador retriever and the next door neighbor of the Heelers. He often finds himself swept up in their wild games, but is always a good sport about it.
He and Bandit are very good friends, though they can get competitive over things like yard work and pizza ovens. He lives with his wife, Janelle, and their two sons; Lucky and Chucky.

Pat is famous around town for his loud singing and his old-school rules on how to best play ‘pass the parcel’.