You seem to be based in the US?

Suggest you use AA to book your flights. Will save on the GST component, and believe their website has good indication of the fare classes involved.

Failing that, suggest you call AA and book direct through them. Indicate which classes you would like.
You will still save money over what you would pay on the Qantas site and won't incur a credit card conversion fee for paying in $AUD.

The Qantas site hides away the booking classes until after you've booked... Very handy for those on other FF Schemes!

If you have other tools available such as Expertflyer, then you should be able to make an educated guess as to the fare class from the $ amount.