Demigods at Hogwarts

After Albus Dumbledore calls upon Chiron for help watching over the Golden Trio, Percy Jackson, Annabeth Chase, Thalia Grace, Nico di Angelo, Jason Grace, Reyna Avilla Ramirez- Arellano, Hazel Levesque, Frank Zhang, Leo Valdez, and other demigods are sent to Hogwarts for a whole school year. Will the demigods succeed on this magical quest? Story set after HoO: BoO, during HP: OotP