Racism

Racism is the belief that groups of humans possess different behavioral traits corresponding to inherited attributes and can be divided based on the superiority of one race or ethnicity over another. It may also mean prejudice, discrimination, or antagonism directed against other people because they are of a different ethnic background.

From Wikipedia

a belief that race is a fundamental determinant of human traits and capacities and that racial differences produce an inherent superiority of a particular race

From Merriam-Webster

harmful or unfair things that people say, do, or think based on the belief that their own race makes them more intelligent, good, moral, etc. than people of other races

From Cambridge dictionary

As for Woke

chiefly US slang, disapproving : politically liberal or progressive (as in matters of racial and social justice) especially in a way that is considered unreasonable or extreme

From Merriam-Webster

a way of referring to the acts and opinions of people who are especially aware of social problems such as racism and inequality, used by people who think these acts and opinions have gone too far

From Cambridge dictionary as "wokeism"/"wokery"

Colloquially, racism means prejudice based on the perception of someone's "race" (ie: ancestry, physical characteristics such as skin tone).

That covers things like assuming a black man knows about gangs and rap based only on their skin color.

There's also the institutional level where individuals might not really think or feel anything about race, but it still is a factor. Stuff like closing polling places in predominantly black neighborhoods, or individual police officers who are given a quota and only assigned to black neighborhoods. Housing in the US has a long history intersecting with the idea of race. "The Color of Law" was a pretty good read on it.

Wikipedia puts it nicely:

Racism can also be said to describe a condition in society in which a dominant racial group benefits from the oppression of others, whether that group wants such benefits or not.