Trihybrid Cross: Genotype Ratio?

I currently finished making a trihybrid cross (GgSsCs x GgSsCc) for biology. I found the phenotype ratio (27:9:9:9:3:3:3:1), but I'm not sure on the genotype ratio. There's a lot, but I came down to 23 different ones. Please check my work if its correct and if not how many must I have?