Hmm, there aren't that many noun cases in Finnish, AFAIK our brothers only have one more than we do, or perhaps the same amount. So this isn't purely conjugation. E.g singular conjugation in Estonian:

Koer, koera, koera, koera(sse optionally - this one can often be shortened into the previous one, normally has -sse ending), koeras, koerast, koerale, koeral, koeralt, koerani, koerana, koerata, koeraga, koeraks)

What Suomiball seems to be doing, is adding suffixes. Which we can also do in Estonian:

Koeralegi - even to the dog (koerale = to the dog, -gi = even), example: "koeralegi tundub see mõte loll" - "it seems like a stupid idea even to the dog"

Koeratagi - even without the dog, in the same style

Koeratu - dogless

Koeratule - to the dogless (singular person still, not cheating! plural would be koeratutele)

Koeralik - dogly

Koeratus - the state of being without a dog

The thing is, each of these new forms I created have all the 14 cases just like the word dog itself. So between "koer", "koeratu", "koeratus", "koeralik", we can have 56 singular + 56 plural forms and the +gi/ki can be added to any of those just how I added it to two of the original word's cases, meaning we really have 112 singular + 112 plural forms we can write here...