We play a version of 6 card brag but we have a debate over the true ranking of the hands.

Each player is dealt 6 cards.

Using any combination of these 6 cards two 3-card hands must be made following the traditional format of straight, flush, straight flush, three-of-a-kind, pair and high card.

What is the statistical ranking of the possible hands?

The overall strength of a players 6 cards is not important.

Thank you for your help.