Eobard Thawne's team, nicknamed the Legion of Doom by Nate Heywood[1], was a team led by Eobard Thawne consisting of Damien Darhk, Malcolm Merlyn, Leonard Snart, formerly Mick Rory, and formerly Rip Hunter under mind alteration.
They operated from a base of operations that they set up in the Vanishing Point. Their purpose was to locate the Spear of Destiny in hopes to change their destinies by rewriting reality. They succeeded, creating an alternate timeline where they ruled, despite being opposed by the Legends. However, the Legends later traveled back in time and succeeded in erasing the Spear of Destiny from existence, leading to Eobard's death and Darhk, Snart, and Merlyn all being returned to their respective times.
Leader:
Reverse-Flash
Members:
Damien Darhk
Malcolm Merlyn
Captain Cold
Former Members:
Rip Hunter (Mind Alteration)
Heat Wave