I am looking for a word (or, if necessary, a concise phrase) which has the same rough pejorative meaning as the words listed in the title, i.e. a group of actors who work together to achieve a (usually malicious) goal through subversive and nefarious means. However, each of those words imply, at least to my ears, that every actor in the group is a knowledgable and willing participant in the scheme. I am concerned with an alternate case, in which a proper subset (some, but not all) of the actors in the scheme are unaware and proceeding honestly, and yet their actions are a necessary contribution to the successful completion of the group's goals. The phrase "unwitting conspirator" or stating they provided "unwitting assistance" are commonplace for referring to the role of the honest actor specifically, but I'm looking for a term for the entire group which implies only some of the actors are actively malicious, and are "using" other members of the group for their own purposes.
This type of structure is a common part of team con/heist movies, in which the con artists "use" some honest actor acting as their job intends for a necessary component of their plot. For example in the movie The Sting (wikipedia), a police officer is told by someone he believes to be a federal marshal (but is actually one of the con artists) to remove the mark from the scene of the con, thereby allowing the conspirators to escape.