if they are the same "breed" then no problem - ie silver coturnix plus brown coturnix plus white coturnix, all different breeds of the same species. But if by "breeds" you mean "species", then no - species should be kept separate and most of the time do not interbreed. Good way to check is if all the eggs are speckled, they are all coturnix regardless of what breed. If the eggs are white, they are likely bobwhite eggs with a slight possibility of them being californias/gambels/etc. All the bobwhite breeds can be housed together and all the coturnix breeds can be housed together and can mate and produce fertile eggs, but bobwhites and coturnix shouldn't live together. I have done it before but it's risky, I would not reccomend it. What colour are your eggs?