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1944, apparently coined by Polish-born U.S. jurist Raphael Lemkin (1900-1959) in his work "Axis Rule in Occupied Europe" [p.19], in reference to Nazi extermination of Jews, literally "killing a tribe," from Greek genos "race, kind" (see genus) + -cide. The proper formation would be *genticide.
Generally speaking, genocide does not necessarily mean the immediate destruction of a nation, except when accomplished by mass killings of all members of a nation. It is intended rather to signify a coordinated plan of different actions aimed at the destruction of essential foundations of the life of national groups, with the aim of annihilating the groups themselves. [Lemkin]Earlier in a similar sense was populicide (1799), from French populicide, by 1792, a word from the Revolution. This was taken into German, e.g. Völkermeuchelnden "genocidal" (Heine), which was Englished 1893 as folk-murdering.