<P> The Prime Minister is also the responsible minister for the Department of the Prime Minister and Cabinet, which is tasked with supporting the policy agendas of the Prime Minister and Cabinet through policy advice and the coordination of the implementation of key government programs, to manage Aboriginal and Torres Strait Islander policy and programs and to promote reconciliation, to provide leadership for the Australian Public Service alongside the Australian Public Service Commission, to oversee the honours and symbols of the Commonwealth, to provide support to ceremonies and official visits, to set whole of government service delivery policy, and to coordinate national security, cyber, counterterrorism, regulatory reform, cities, population, data, and women's policy . </P> <P> The formal power to appoint the Governor - General lies with the Queen of Australia, but this appointment is done on the formal advice of the Prime Minister . By convention, this advice is provided by the Prime Minister alone, and thus the appointment is effectively the Prime Minister's personal choice . The Prime Minister may also advise the monarch to dismiss the Governor - General, though it remains unclear how quickly the monarch would act on such advice in a constitutional crisis . This uncertainty, and the possibility of a "race" between the Governor - General and Prime Minister to sack the other, was a key question in the 1975 constitutional crisis . </P> <P> The power of the Prime Minister is subject to a number of limitations . Prime Ministers removed as leader of their party, or whose government loses a vote of no - confidence in the House of Representatives, are expected to advise an election of the lower house or resign the office . If they fail to do this they will be dismissed by the Governor - General . </P> <P> The Prime Minister's party will normally have a majority in the House of Representatives and party discipline is exceptionally strong in Australian politics, so passage of the government's legislation through the House of Representatives is mostly a formality . Attaining the support of the Senate can be more difficult as government usually lacks an absolute majority because the Senate's representation is based on overall proportion of votes and often includes minor parties . </P>

What power does the prime minister of australia have