This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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adj. oligarchic

Relating to oligarchic government; characteristic of oligarchs.

Constituting an oligarchy; oligarchic.

adj. of or relating to or supporting or characteristic of an oligarchy

"One executive, a former leader at an OHA member company who asked not to be named, described the organization as "oligarchical," not democratic."

aristocratical    care-taking    only-begotten    theocratic    oligarchic