Hera- a good name for a jealous dog. (female)
Ares- have a dog that just loves to start fights? (male)
Athena- for the dog that jumps out of your head after you have split it with an axe. (female)
Aphrodite- maybe you have a dog that never seems to tire of looking at itself in the mirror. (female)
Hephaestus- great for the ugly dogs. (male)
Artemis- for the dog that loves nothing more than a good run through the woods. (female)
Poseidon- have a dog who loves the water? (male)
Hades- good for that dog that digs with real determination. (male)
Apollo- bestow this upon the dog that never lies. (male)
Hermes- for the flight-footed dog. (male)
Perseus- just in case you have a dog who brings you Medusa's head. (male)
Hercules- for the dog that looks like Kevin Sorbo. (male)
Helen- the dog all the males fight over. (female)
Odysseus- have a dog that is always getting lost? (male)