synocracy

Etymology tree
Proto-Indo-European *sem-der.?
Proto-Hellenic *ksún
Ancient Greek σύν (sún)
Ancient Greek σῠν- (sŭn-)der.
English syn-
Ancient Greek -ο- (-o-)der.
Latin -o-bor.
English -o-
Proto-Indo-European *kret-
Ancient Greek κρᾰ́τος (krắtos)
Proto-Indo-European *-h₂
Proto-Indo-European *-éh₂
Proto-Indo-European *-i-eh₂
Proto-Hellenic *-íā
Ancient Greek -ῐ́ᾱ (-ĭ́ā)
Ancient Greek -κρᾰτῐ́ᾱ (-krătĭ́ā)bor.
English -cracy
English synocracy
From syn- + -o- + -cracy.