23k sexes that's fascinating, so I looked it up:
They have two sex genes, named A and B, each of these have have an allele (alternate form) called alpha and beta. So combined there are 4 unique spots in the gene to look at.
A-alpha, A-beta, B-alpha, and B-beta.
Each of these can have variations, with A-beta having 32 and the rest 9.
32 x 9 x 9 x 9 = 23328 unique sexes
So describing your sex would look something like A-alpha-1, A-beta-8, B-alpha-3, B-beta-5.