word-forming element meaning "man, male, masculine," from Greek andro-, combining form of anēr (genitive andros) "a man, a male" (as opposed to a woman, a youth, or a god), from PIE root *ner- (2) "man," also "vigorous, vital, strong."
Equivalent to Latin vir (see virile). Sometimes in later use it was equivalent to Greek anthrōpos, Latin homo "a person, a human being," and in compounds it often retain this genderless sense (e.g. androcephalous "having a human head," said of monsters including the Sphinx, which in Greece was female).
word-forming element forming nouns meaning "rule or government by," from French -cratie or directly from Medieval Latin -cratia, from Greek -kratia "power, might; rule, sway; power over; a power, authority," from kratos "strength," from PIE *kre-tes- "power, strength," suffixed form of root *kar- "hard." The connective -o- has come to be viewed as part of it. Productive in English from c. 1800.
<a href="https://www.etymonline.com/word/androcracy">Etymology of androcracy by etymonline</a>
Harper, D. (n.d.). Etymology of androcracy. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/androcracy