Qantas will not code share with any regional airline in Australia. Qantas only want the cream regional routes and will do nothing to help smaller regional airlines who serve the smaller regional centres.
From what I've calculated the Qantaslink regional network fly 55 routes throughout Australia. The Qantas regional alliance partners (Skywest, ASA, Airnorth, Mac-air, Aeropelican, Horizon, Sunshine Express, O'connors, Airlink and now Brindabella) operate 68 routes throughout Australia. Yet Qantas will not code share with any alliance partner. Four of these alliance partners (Skywest, Airnorth, Mac-air and Sunshine) operate turbine aircraft seating 30 - 46 passengers.