What is the correct punctuation for an indirect question?

You do not need a question mark because the sentence is what is called an "indirect question."

Indirect questions do not close with a question mark but with a period. Like direct questions they demand a response, but they are expressed as declarations without the formal characteristics of a question.

More explanation here.

Either of your examples is fine. You don't need a question mark in the first one and shouldn't use one there.

Even though both of them are correct, I'd prefer the first of them in almost every case. Indirect questions are quite handy, since you don't need to change intonation or actually make the sentence look, talk and walk like a question (which is slightly more work than not). Plus, the second sentence is a break, both mentally and linguistically. It's less natural and does have a reverse order (though that might be good too in some situations).