It's like a sorting algorithm, which I can implement in many different ways in just a few dozen lines. If you look at the binary code (so like raw weights) of the compiled program, you will see just a bunch of a different numbers, but if you read the code, in most cases you will understand that it's a sorting algorithm. So it seems they just operate on different levels of abstraction that are not available to our brains.
do they break down to a finite subset of groups?
There are classes of adversarial attacks targeting them that don't work as well on us, and vice versa.
Highly relevant: "BLIT" <https://en.wikipedia.org/wiki/BLIT_(short_story)>
Also, <https://www.quantamagazine.org/a-math-theory-for-why-people-...>
SCP calls such things cognitohazards <https://en.wiktionary.org/wiki/cognitohazard>.