not part of or suitable for the time when students are being taught together

The students were working on a non-class project. 学生们正在做一个非课堂项目。

Teachers do not have to stay in the school buildings during nonclass time. 非上课时间内教师不必留在校舍里。

not based on the economic and social position that people have

We need a non-class political party to unite all sections of society. 我们需要一个非阶级政党来团结社会各阶层。

There is no such thing as a nonclass language that all the people speak. 并不存在所有人都说的无阶级性的语言。

not part of a class action (= a case that is organized by a group of people who all have the same legal problem)

The individual non-class plaintiffs will now automatically become part of the class action. 那些个人非集体原告现在将自动成为集体诉讼的一部分。

There are different rules for class and nonclass lawsuits.