Linux permissions - user vs group permission

I know that the permissions listing are for user , then the group and the third one is for other users.

my example :

_rwxr--r-- tooth face file1.txt
_rwxr--r-- eye face file2.txt
_rwxr--r-- leg face file3.txt

groups included

tooth : face head 
eye : face head 
leg : body

Now, my doubt is : whether "leg" will have rwx permissions to file3 as it is not a member in group "face" ?