Domain- Eukarya
Kingdom- Animalia
Phylum- Chordata
Subphylum- Vertebrata
Class- Mammalia
Order- Carnivora
Family- Canidae
Genus- Canis
Species- Canis lupus
Subspecies- Canis lupus familiaris
There is debate in the scientific community about whether dogs are a species in their own right or a subspecies of grey wolf. Those who believe it is a species of its own classify it as Canis familiaris. Those who believe it is a wolf classify it as Canis lupus familiaris.
It's worth mentioning that dogs and wolves are not genetically identical and have many physical and behavioural differences. Just because dogs evolved from wolves does not mean they ARE wolves, any more than pigs are wild boar or cattle are aurochs. Remember, if you classify dogs as Canis lupus familiaris, you are saying they are wolves - you're saying a poodle, a dachshund, a pug and so on are the EXACT SAME SPECIES as a pack-hunting canid preying on moose in the wilds of Eurasia and North America.
If you consider dogs to be a subspecies of wolf then Canis lupus familiaris
If you consider them to be a separate species then Canis familiaris
They are Animals; Mammals, from the carnivora order, and the Dog family Canidae.