What is the Jewish group that follows few Mosaic laws

Answer: I think it is Halakha

Answer: Halakha is based on biblical commandments (mitzvot), subsequent Talmudic and rabbinic law, and the customs and traditions compiled in the many books such as the Shulchan Aruch. Halakha is often translated as "Jewish Law", although a more literal translation might be "the way to behave" or "the way of walking".