What is half-man half-horse called back in ancient greece?

In Greek mythology, the CENTAURS are a race of creatures composed of part human and part horse.

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The Centaurs are best known for their fight with the Lapithae, caused by their attempt to carry off Hippodamia and the rest of the Lapith women, on the day of her marriage to Pirithous, king of the Lapithae, himself the son of Ixion. The strife among these cousins is a metaphor for the conflict between the lower appetites and civilized behavior in humankind. Theseus, a hero and founder of cities, who happened to be present, threw the balance in favour of the right order of things, and assisted Pirithous. The Centaurs were driven off or destroyed.[1][2][3] Another Lapith hero, Caeneus, who was invulnerable to weapons, was beaten into the earth by Centaurs wielding rocks and the branches of trees. Centaurs are thought of in many Greek myths as wild as untamed horses. Like the Titanomachy, the defeat of the Titans by the Olympian gods, the contests with the Centaurs typify the struggle between civilization and barbarism.

The Centauromachy is most famously portrayed in the Parthenon (Elgin Marbles) metopes by Phidias and a Renaissance-era sculpture by Michelangelo.