Just awake for 60 hours now from a weird meth dosing. I don't usually do that.
In high school we were actually taught something called the ideological wheel. It was a creation of the instructor, not some curriculum thing. And really it was just a chart with two axes, but drawn as a circle to show a continuum.
So the x-axis is your usual liberal left and conservative right, but with a y-axis to show civil liberties in a sense. So top is lawlessness, anarchy or Anarchism; bottom is pure authoritarianism. It makes some sense, because with no government, it can't be left- or right-leaning, and with a totalitarian government, ideology is kind of moot. DPRK is rock bottom.
It's not perfect, but works for high school. It also kind of highlights how fascism is hard to pin down. Maybe because fascist governments don't last very long and always end with millions dead? A proto-fascist state, though, is quite definitely hard-right before it slides totally into authoritarianism, conscripts everyone under dear leader, declares war on everyone else, and gets destroyed. You can argue they were "socialist" in that the gov. could force factories into switching to making bomber parts, "for the people".
So your ku klux klan is obviously far right, actively preventing outsider integration; when it's sanctioned by government, as it often was, you're in a proto-fascist place in the lower right of the wheel.
If we take the right's fever dream of "antifa", you'll find far left views on equality and civil liberties, but with anarchist tendencies that shoot them way up to the top, and over to upper left. They are fundamentally different from fascists, as much as some would like to equate them (the end goals for alt-right proto-fascists being a homogeneous white Christian nation; and for "antifa", equality across the board, taken to the extreme of having no power imbalance at all (no bosses)). Considering they exist mostly in meme form anyway, who can say what the latest internet rumor says they're up to.
Here's an approximation, I didn't fill it in, and yes, the whole point was to make relative comparisons: