What are some of the core distinctions between the different factions of feminist movements?

Liberal feminists, who are often seen as the most popular feminists having helmed the vote for women and the Equality Act, want change through legislation. They believe that the way to equality between the sexes is through legality, a march towards progress that is slow but sure. Radical feminists believe in the separation of men and women. They have often criticised liberal feminists for being too passive and see men as the enemy, who intrude on women's bodies through penetrative sex. They want political lesbianism as they believe that is the only way to entirely escape patriarchal control. The media is known to sensationalise radical feminists as the ONLY feminists, which has created an inaccurate portrayal of feminism being a radical display of burning bras and political lesbianism. Many sociologists, of course, disagree with radical feminists for their extreme views of segregation and since you cannot choose your sexuality some LGBTQ+ sociologists have even argued that they are parodying the gay rights movement. Marxists feminists argue that capitalism is the cause of patriarchy, and that when men became wage slaves selling their labour women just became slaves. However as we know patriarchy is transhistorical and many sociologists dismiss Marxist feminists for dismissing the fact that women were treated differently before society became capitalist. Intersectional feminists, or difference feminists, have criticised other feminists for being too Eurocentric and not taking into account the experiences of black women, Asian women, Latinx women and trans women. They focus on empowerment and change through social media, such as #BodyPositivity, #FreetheNipple, etc. Some have criticised intersectional feminism for seemingly focusing on niche subjects, when they should be focusing on the equality of all women - however, I personally disagree and think intersectionality is the way forward as we accept every aspect of men and women, including their race, size or sexuality.