Commonwealth of Australia vs British Empire

Commonwealth of Australia and British Empire both are nouns.

Word	Noun	Adjective	Verb	Adverb
Commonwealth of Australia	Yes	No	No	No
British Empire	Yes	No	No	No

Commonwealth of Australia (noun)	British Empire (noun)
a nation occupying the whole of the Australian continent; Aboriginal tribes are thought to have migrated from southeastern Asia 20,000 years ago; first Europeans were British convicts sent there as a penal colony	a former empire consisting of Great Britain and all the territories under its control; reached its greatest extent at the end of World War I; it included the British Isles, British West Indies, Canada, British Guiana, British West Africa, British East Africa, India, Australia, New Zealand