Karna's sons were Vrishasena, Vrishaketu, Banasena, Chitrasena, Satyasena, Sushena, Shatrunjaya, Dvipata and Prasena. All except for Vrishaktu were killed in the war.
Vrishasena was killed by Arjuna on 17th day.
Chitrasena, Sushena, Satyasena were killed by Nakula on 18th day.
Banasena was killed by Bhima on 16th day.
Arjuna killed Shatrunjaya, Vrishasena, and Dvipata. Bhima killed Banasena. Chitrasena, Satyasena, and Sushena were killed by Nakula.
The only remaining son of Karna was Vrishaketu was taken under the patronage of Pandavas after they knew about the truth of Karna's birth and it is said that Pandavas, especially had great affection for Vrishaketu. Vrishaketu also participated in the Ashwamedha Yagna of Yudhisthira where he was killed by his cousin, Arjuna's son Babruvahana was later revived by Krishna.Vrishaketu later became king of Anga and Indraprastha.
So total, Karna had 9 sons and no daughters.