"another" can only be used with a singular noun - another person, another woman, another group, another house, etc.
"other" can be used with plural nouns - other people, other women, other groups, other houses, etc.
"another" is like a/an - a car/another car (we don't know exactly which car)
"other" is often used with the definite article + singular or plural noun - the other car (we do know which car)/the other houses (we do know which houses)
Hope that helps
Student or Learner