Is this a thing?

Is this a thing? Social libertarian patriarchal? So you believe in a free society that’s inherently non-egalitarian?

Libertarianism (Latin: liber, “free”) is a political philosophy that upholds liberty as its principal objective. Libertarians seek to maximize autonomy and freedom of choice, emphasizing political freedom, voluntary association, and the primacy of individual judgment.

What place does the patriarchy have in a truly libertarian society?