Far-left politics:

Extremist far-left politics can involve violent acts and the formation of far-left militant organizations meant to abolish capitalist systems and the upper ruling class. Far-left terrorism consists of groups that attempt to realize their radical ideals and bring about change through violence rather than established political processes.

Far-right politics:

Historically used to describe the experiences of fascism and Nazism,[7] today far-right politics includes neo-fascism, neo-Nazism, Third Position, the alt-right, white nationalism,[8] and other ideologies or organizations that feature aspects of ultranationalist, chauvinist, xenophobic, theocratic, racist, homophobic, anti-communist, or reactionary views.[9]

Far-right politics can lead to oppression, violence, forced assimilation, ethnic cleansing and even genocide against groups of people based on their supposed inferiority, or their perceived threat to the native ethnic group,[10][11] nation, state,[12] national religion, dominant culture, or ultra-conservative traditional social institutions.[13]