QAnon refers to a set of far-right, conspiratorial ideologies that have risen in popularity in the U.S. since their initial promotion in 2017 on the 4chan internet message board. A central narrative element of QAnon is that a powerful group of elite, liberal members of the Democratic Party engage in morally reprehensible practices, but that former U.S. President Donald J. Trump was prosecuting them. Five studies investigated the influence and network connectivity of accounts promoting QAnon on Twitter from August, 2020 through January, 2021. Selection of Twitter accounts emphasized on-line influencers and "persons of interest" known or suspected of participation in QAnon propaganda promotion activities. Evidence of large-scale coordination among accounts promoting QAnon was observed, demonstrating rigorous, quantitative evidence of "astroturfing" in QAnon propaganda promotion on Twitter, as opposed to strictly "grassroots" activities of citizens acting independently. Further, evidence was obtained supporting that networks of extreme far-right adherents engaged in organized QAnon propaganda promotion, as revealed by network overlap among accounts promoting far-right extremist (e.g., anti-Semitic) content and insurrectionist themes; New Age, occult, and "esoteric" themes; and internet puzzle games like Cicada 3301 and other "alternate reality games." Based on well-grounded theories and findings from the social sciences, it is argued that QAnon propaganda on Twitter in the months circa the 2020 U.S. Presidential election likely reflected joint participation of multiple actors, including nation-states like Russia, in innovative misuse of social media toward undermining democratic processes by promoting "magical" thinking, ostracism of Democrats and liberals, and salience of White extinction narratives common among otherwise ideologically diverse groups on the extreme far-right.