Wikipedia
Arimneste was the daughter of Nicomachus and Phaestis, and Aristotle's older sister. In addition to Aristotle, Arimneste had a brother named Arimnestus. Her name and that of her brother translates as "Greatly remembered".
There were two famous men named "Arimnestus" after whom Arimneste may have been named. The first Arimnestus was the Spartan soldier who killed the Persian general, Mardonius, at the Battle of Platea. The second Arimnestus was the King of the Tyrrhenians, who sent a gold throne to Olympia in honor of the Olympic Games.
Arimneste married Proxenus of Atarneus, by which they had a daughter, Hero, and a son, Nicanor.
Hero was Callisthenes of Olynthus' mother. Nicanor married Aristotle's daughter Pythias. According to Aristotle's will, Nicanor was to manage the family affairs until his own son, Nicomachus came of age.