I think it's sometimes hard for people whose understanding of fascism comes primarily from popular culture imagery to understand what a chaotic, irrational, travshamockery of an "organized" movement fascism really is. Most folks obtain an understanding of what fascism looks like, and how it operates from studying snapshots of fully realized fascist movements at the height of their power. This creates an image of a highly organized, completely unified, hyper-competent structure built around a rigid, definitive, and immutable ideology of well-fleshed out opinions and positions. The problem of course is this image of a "Triumph of the Will" sort of fascism, is itself inherited from fascist propaganda; this is what fascists want you to think of them, and well I dunno if you realize this, but fascists aren't known for their honesty, and they don't have your best interests or desire to understand the truth, at heart.
If you dig past the propaganda, and examine the history (including the brief but heavily documented record of modern Pig Empire fascist movements) you discover that every fascist movement is more like a hastily-bound, patchwork ideological quilt crafted from a truly stunning number of constantly morphing factions, groups, and tendencies driven by vaguely related, but not always compatible antipathies, conspiratorial beliefs, and cults of personality. Furthermore, even while attempting to present an out-facing impression of unity and ideological conformity, all of these internal factions of fascism are engaged in a constant struggle against each other for control of the larger movement and to define its ideological tenets. Indeed, the only *real* unifying principles at work are a hatred of, and a desire to totally subjugate and suppress, the other as defined by various out-groups; typically through the application of force and violence at all levels - from the street, up on through their most important target, the oppressive machinery of the state.
This is how in America for example, peeling back the cover of our contemporary fascist movement you find an alliance between nazi street gangs like the Proud Boys, unhinged parent's rights groups like Moms for Liberty, faux populist political movements loosely connected to libertarian groups and the Republican Party, apocalyptic, evangelical Christian Zionist movements like CUFI, revanchist TradCath groups like the folks steering Project 2025, and even Tech-authoritarian coalitions spawned in Silicon Valley by folks who don't believe in anything but accumulating power and preserving capitalism. These groups, and there are many other components of the modern American fascist quilt I haven't listed here, appear quite dissimilar and distinct (occasionally, even oppositional to each other) on the surface; they are only obviously united by that which they oppose, and seek to eliminate or control.
This in turn makes it difficult for casual observers to even realize that they're looking at components in a larger picture here; a task which is made all the more difficult by the fact that folks raised on Pig Empire, Cold War propaganda often have an incomplete at best, if not entirely false understand of what fascism is or how it functions. There are after all, still a large number of Americans who truly believe that it's simply not fascism unless there's a man with a funny little moustache, armies of soldiers decked out in Hugo Boss uniforms invading Poland, and a full-developed plan to build gas chambers and crematoriums for use on a racially-defined enemy. All of which is pretty ridiculous when you realize that even historically defined 20th century fascist movements weren't all led by Hitler, were still fascist before they assumed total control of various states in Europe, and even the Nazis themselves only enacted plans for what would be known as "the final solution" (and thus, The Holocaust) in 1941; roughly 8 years after the Enabling Act gave them absolute power in Germany, and 3 years after they began invading the rest of Europe.
All of which leaves us with a plain, and yet infuriatingly difficult question to answer; if fascism itself is a constantly shifting chimera, how do you identify who is, and who isn't, part of a given fascist movement? Even assuming we've properly identified what fascism is and who fascists are (no small task in itself, but I'm partial to Umberto Eco's definition as detailed in the 1995 essay "Ur-Fascism") we're still left with the puzzle of separating ideas or beliefs, from organizational structures and alliances. The varied, shifting and often irrational composition of the enemy coalitions works against any sort of easy collection of identifying characteristics. This in turn forces us to identify fascist movements not by what they profess to believe or what they claim as motivation, but rather by their actions and associations. After all, fascists are people who work with other fascists, to do fascism.