Noun Genders for my conlang

The conlang has nine (yes nine) Genders none of which is related to sex.

1. Gods
2. Persons -  “the elder children” and humans
3. Animals
4. Plants
5. Natural Forces and Features - Sun, Moon, Storm, Mountain, Lake, Sea, Fire etc
6. Natural Objects - stars, body parts, stones, branches etc
7. Artificial Forces and Features - Houses, Enclosures, Fences, Reservoir, man-made Fire.
8. Artificial Objects - tools, ornaments etc
9. Abstract Nouns

So - for example - lake and reservoir would be the same word but in the 5th and 7th genders respectively.

There's also going to be a lot of cases.

But does anyone know an easy way to work out all possible syllables in a conlang. Trying to list them is driving me loopy.