Gogita Paghava was the first chairman; he was shortly succeeded by Nikoloz Kartsivadze, who was arrested by the Soviet secret police, Cheka, on 16 March 1923, and was replaced with Kote Andronikashvili.
The accord signed by the members of the Damkom envisaged the overthrow of the Bolshevik regime through a nationwide uprising, restoration of the Democratic Republic of Georgia and the formation of a coalition government.
The Georgian Cheka, with recently appointed Deputy Chief Lavrentiy Beria playing a leading role, managed to penetrate the organization and carried out mass arrests.
Fifteen members of the military center were arrested, among them the principal leaders of the resistance movement: Kote Abkhazi, Alexander Andronikashvili, Varden Tsulukidze, Colonel Giorgi Khimshiashvili, Simon Bagration-Mukhraneli, Elizbar Gulisashvili, and Rostom Muskhelishvili; they were executed on 20 May 1923.
On 4 September the Cheka discovered the rebels' chief headquarters at the Shio-Mgvime Monastery near the town of Mtskheta, and arrested the leaders of the Damkom, including its chairman Andronikashvili.