"Among them are the only child of the accident and the Hungarian captain of the boat", Police spokesman Kristof Gal told at a press conference following the hoisting of the wreck.
Hungarian police on Saturday recovered the body of one female passenger in her 20s some 22 km away from the scene of the sinking.
Images obtained by South Korean news broadcaster YTN, . show traces of the accident have been scrubbed from the Viking Sigyn cruise ship, which was involved in the collision with the Hableany.
The salvation operation increased the death toll to 24 people, with four still missing, and only seven survivors.
Hungary's special forces oversaw the operation to bring the wreck of the Hableany to the surface of the River Danube in Budapest on Tuesday.
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The Mermaid sightseeing boat overturned after colliding with a much larger river cruise ship on a busy stretch of the Danube.
The boat which was carrying a group of South Korean tourists on board sunk nearly instantly after a large cruise liner hit it from behind under a bridge in the Hungarian capital during heavy rain.
Only seven people of the 35 people on board are known to have survived the accident. Once Hableany is raised from the floor of the river, a joint inspection team of Hungarian and Korean officials plan to search for any bodies that may be inside the vessel.
The search for the missing victims will continue along the Hungarian section of the Danube River south of Budapest.
Viking Sigyn's captain, named as 64-year-old Ukrainian national Yuriy C, has been detained on suspicion of reckless misconduct in waterborne traffic leading to mass casualties.
According to agency's sources, the relatives of the four victims arrived at Incheon airport on Monday morning and carried out with them the urns containing the ashes of their loved ones.