We conduct a large-scale field experiment to measure labour market discrimination in Australia, one quarter of whose population was born overseas. To denote ethnicity, we use distinctively Anglo-Saxon, Indigenous, Italian, Chinese and Middle Eastern names. We compare multiple ethnic groups, rather than a single minority as in most other studies. In all cases we applied for entry-level jobs and submitted a CV indicating that the candidate attended high school in Australia. We find significant differences in callback rates: ethnic minority candidates would need to apply for more jobs in order to receive the same number of interviews. These differences vary systematically across ethnic groups.