The Conspiratii - according to Detective Cooper - were those favored by the gods, those judged to fight against darkness. According to Eunice Moore, they haven't used the name in over fifty years. "Conspiratii" is Romanian for conspiracy.
The Conspiratii began in 1542, when a group of cardinals planned to overthrow the Pope. They believed that Satan himself had taken control of the Papacy. The conspiracy was eventually discovered and the cardinals were executed before they could stop him. However, one member of the group escaped and reformed the group in secret.
Harlan believed that in 1927, the Conspiratii tried to kill the members of the Order of the Dragon, because they were involved in the occult.