A group of conservative campaigners who say they represent "mainstream Australia" have picketed in the lobby of the Fairfax Media building in Sydney, saying their concerns are being ignored by the government and the press.

The group of about 12 entered the lobby of the building in Pyrmont about 11.15am holding placards saying "No carbon tax" and "Gina can do it", referring to mining magnate Gina Rinehart.

The protesters were part of a group called CANdo, describing themselves as an opposition to left-wing activist group GetUp!

Liberal Senator Cory Bernardi created the group in 2010 because, he said, the conservatives needed "a fresh approach".