In the years following the failure of the Anti-Party Group, Suslov became the leader of the opposition faction in the Central Committee, known as the "Moscow faction", to Khrushchev's leadership. Khrushchev was able to hold on to power by conceding to various opposition demands in times of crisis, such as during the 1960 U-2 incident and the Cuban Missile Crisis. In the aftermath of the U-2 Crisis Suslov was able to remove, and replace, several of Khrushchev's appointees in the Politburo with new anti-Khrushchevist members. Khrushchev's position was greatly weakened after the failure of the Cuban Missile Crisis, and Suslov's power greatly increased. A campaign to oust Khrushchev from office was initiated in 1964. Although leader of the opposition, Suslov had fallen seriously ill during his trip to the People's Republic of China the previous year; instead, Leonid Brezhnev and Alexei Kosygin led the opposition.