 The wife of this 'Minos I' was said to be Itone (daughter of Lyctius) or Crete (a nymph or daughter of his stepfather Asterion), and he had a single son named Lycastus, his successor as King of Crete.Lycastus had a son named Minos, after his grandfather, born by Lycastus' wife, Ida, daughter of Corybas.This 'Minos II'— the 'bad' king Minos— is the son of this Lycastus, and was a far more colorful character than his father and grandfather.