Just a summary of the rules that I found:
http://www.mondaq.com/australia/x/122144/Restriction+of+access+to+a+companys+members+registry+changes+to+the+Corporations+Act
Details in the legislation:
https://www.legislation.gov.au/Details/F2014C00904/Html/Volume_1#_Toc390674752
https://www.legislation.gov.au/Details/F2014C00904/Html/Volume_6#_Toc382827695