egality vs equality

egality and equality both are nouns.

Word	Noun	Adjective	Verb	Adverb
egality	Yes	No	No	No
equality	Yes	No	No	No

As nouns, equality is a hypernym of egality; that is, equality is a word with a broader meaning than egality:

egality: social and political equality
equality: a state of being essentially equal or equivalent; equally balanced

Other hypernyms of egality include equation, equivalence, par.

egality (noun)	equality (noun)
social and political equality	the quality of being the same in quantity or measure or value or status
	a state of being essentially equal or equivalent; equally balanced