The name of the ship that carried the Argonauts on their quest is Argo. This legendary vessel was constructed with the help of the goddess Athena and played a vital role in the quest for the Golden Fleece. The Argo was manned by a group of heroes known as the Argonauts, including famed figures like Jason, Hercules, and Orpheus. Their journey is filled with challenges, battles, and adventures, symbolizing heroism and camaraderie. The tale of the Argo highlights themes of exploration and the hero's journey, reflecting the rich tapestry of Greek mythology.