special benefit

To be eligible you must:

be unable to receive any other Social Security pension or benefit; and
be in financial hardship and unable to obtain or earn a sufficient livelihood for yourself and any dependants; and
be in Australia throughout the period for which payment is sought,

and be one of the following:

an Australian resident; or
the holder of a visa outlined in the legislation (mainly refugee or humanitarian visas).

To apply, go to your local Centrelink office. If Centrelink says that you are not eligible for any other payment and you are in financial hardship, you should insist on lodging a claim for Special Benefit.