"Somo la uraia"
As a scientist I would not call this science!! Better to say, this is the study of how society works, elections, government organization, a bit of civil law etc. Or ,according to the Oxford Dictionary: the study of the rights and duties of citizenship (chiefly British).
"Civics subject" is not idiomatic English. Typically, just the word "civics" is used -- "I took civics last semester." "Civics course" is OK -- "The teacher was hired to teach the new civics course." If the word "subject" must be used, then there isn't much choice except "the subject of civics". The two words can be separated "Do you think civics is a subject that should be taught in high school?"