(from Cambridge Advanced Learner's Dictionary)
race (PEOPLE) noun [C][U]
a group, especially of people, with particular similar physical characteristics, who are considered as belonging to the same type, or the fact of belonging to such a group:
People of many different races were living side by side.
Discrimination on grounds of race will not be tolerated.
An increasing number of people in the country are of mixed race (= with parents of different races).
race group noun [C]
a group of people who share the same language, history, characteristics, etc:
LITERARY The British are an island race.
The above definition is from the Cambridge dictionary online.