Aktaia was one of the fifty Danaids (Daughters of Danaus) who took part in the mass marriage to the sons of Aigyptos. Aktaia married Periphas (whose mother was Gorgo). That night she along with forty-eight of her forty-nine sisters slew their husbands.
When Aktaia and the other Danaids who had murdered their husbands they were sent to Tartarus and were forced to carry water from the river Styx in a bowls (or jars according to some) with holes over to a tub which leaks at multiple parts. Aktaia and the others were told only when they filled the tub could they wash away their sins. The Danaids continue this essentially impossible task to this very day.
King Danaus & Pieria
"The sons of Egyptus by Gorgo, cast lots for the daughters of Danaus by Pieria, and Periphas got Actaea, Oineus got Podarce, Egyptus got Dioxippe, Menalces got Adite, Lampus got Ocypete, Idmon got Pylarge."