(CNN) Suzanne Eaton, the American scientist killed in Greece, was raped, police in Crete said Tuesday.

The suspect said in his confession that he had seen Eaton running, and "with sexual assault as a probable motive, hit her twice with his car in order to immobilize her," Crete's Chief of Police Konstantinos Lagoudakis said at a press conference Tuesday.

"Then, after she was unconscious, he put her in the trunk of his car and took her to the location of the World War II bunker " where her body was found , Lagoudakis said.

The suspect raped her and dumped her body into the bunker, covering the opening of the bunker's air shaft with a piece of wood to hide it, Crete Police's head of press Eleni Papathanassiou told CNN.

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