Do a search for Aviation-Security-Relevant--Offence. Some info here
https://www.aph.gov.au/Parliamentary...rity45/c05.pdf
even if the offence is of the kind referred to, a lot of things are taken into consideration such as your age at the time of the offence, How long since you were convicted with no subsequent offence history and the specific details of the offence. In many cases it comes down to a review of actual court transcripts.
it can go one of three ways:
1. You are granted approval to be issued
2. You are found to have a qualified criminal history in which case you can be issued a card but must undergo a further background check check in 12 months.
3. You are refused an ASIC
if you find yourself being refused there is also the option of applying directly to the Secretary of he Department for a "Discretionary Card"
your issuing body will not be given information regarding your history. Only whether or not the card can be issued and any limitations that apply.
Applications such as this generally take significantly longer to process.