When the SS officers order, " Men to the left, women to the right," is Elie separated from his mother and father?

When Elie approaches selection at Auschwitz, Dr. Mengele and the SS officers separate the group -- men to one side and women to the other.  At this point, Elie is not separated from both his mother AND his father.  He is separated from his mother and from his youngest sister, neither of whom he ever sees again.  It is believed that they were killed shortly thereafter in the crematorium.

Elie and his father are forced to march deeper into the camp.  As they march, they approach the crematorium and open pits in which babies' and adults' bodies are being burned.  Elie believes that he is being marched toward the pits in order to join the burning bodies.  Others around him feel the same and begin to recite the Kaddish, a Jewish prayer for the dead.  It is only at the last minute that the marching cadre of Jewish prisoners turns the corner and realizes that they are, instead, headed for barracks.  Elie and his father are still together at this point in the story and will be together through most of the remainder of the text.