What is the difference between private ownership of the means of production and public ownership of the means of production?

Private ownership of the means of production means that the ownership of the means of production belongs to individual citizens. Unless with the consent of the owner of the means of production, no organization or individual may infringe upon it. Public ownership of the means of production means that the means of production are owned by the country and the collective people, but ownership and ownership rights are exercised over them in the name of the government.