kakocracy
Rule or government by the worst of the people.
dated, uncommon, uncountable
[T]he degrading sentiments of the mere rabble are unblushingly avowed in their Legislature. The constitution of the United States seems on the eve of changing from a democracy—for demos elevates the whole people—to a kakocracy.
Where it comes from
From Ancient Greek κακός (kakós, “bad”) + -cracy. By surface analysis, kako- + -cracy.
Adapted from the Wiktionary entry kakocracy (CC BY-SA 4.0).