This was the standard classification we used back in the late seventies/early eighties. For exampel I attende da lecture by Janet radcliffe-Richards which was based on this classification (she identified herself as liberal-f)

Liberal = 'human nature is a tabula rasa, let women be free to choose what they want', socialist = 'human nature is dependent on social context, let us offer support to women in various areas', radical = 'women and men are innately different, and the only route for women is separation from male-dominated society'.

Incidentally it amuses me that radical feminism is the one chosen by people who wish to bad-mouth feminism (Andrea Dworkin, 'all men are rapists' etc.) while simulataneously having been adopted as mainstream political belief - it is now widely held that men and women are innately different and anti-feminist say men are innately violent and misogynist. very complex area of course.