Margarethe Siems as Chrysothemis with Annie Krull in the Richard-Strauss-Opera "Elektra", 1909 (Source)
In Greek mythology, Chrysothemis was
a daughter of Agamemnon and Clytemnestra. Unlike her sister, Electra, Chrysothemis did not protest or enact vengeance against their mother for having an affair with Aegisthus and then killing their father.
There are four mythical females called Chrysothemis (Hygin. Fab. 170, Poet. Astr. ii. 25; Diod. v. 22; Homer. Iliad. ix. 287), and one male, a son of Carmanor, the priest of Apollo at Tarrha in Crete. He is said to have been a poet, and to have won the first victory in the Pythian games by a hymn on Apollo. (Paus. x. 7. § 2.)