The only child born to Qaddafi's first wife, Fatiha. Together with Saif al-Islam Qaddafi -- the oldest son of Qaddafi's second wife, Safia Farkash -- Muhammad was regarded as a possible successor as ruler of Libya before the country's six-month uprising and civil war.
Muhammad had run the Libyan Olympic committee. He also was the chairman of the General Posts and Telecommunications Company, which owns and operates cell phone and satellite services in Libya and is the main Internet provider in the country.
Muhammad had been taken into custody by opposition fighters last week as they overtook the Libyan capital. Muhammad confirmed in a telephone interview with Al-Jazeera television that he had surrendered to rebels in Tripoli on August 21. But he escaped, reportedly with the aid of remaining loyalist forces in the Libyan capital, the following day.
Previously worked for Libya's general National Maritime Transport Company, a firm that specializes in oil exports. He had been involved in a number of violent incidents in Europe -- including the beating of his pregnant girlfriend in Paris in 2005.
Three years later, he was arrested in a hotel in Geneva, Switzerland -- but later freed on bail -- after two of his servants accused him of assault. That case prompted Qaddafi's regime to boycott Swiss goods, expel Swiss companies, and recall Libyan diplomats from Switzerland.
An attorney who had been a member of the defense team of the executed former ruler of Iraq, Saddam Hussein. She married a cousin of her father in 2006.