How to Grant privileges to a group via sudo

Problem: Let a set of users run commands as another user,

Solution: Define a linux group containing those users,

/etc/group:
mygroup:x:1200:joe,jane,hiram,krishna

then create a sudo rule with the %groupname syntax:

/etc/sudoers:
# let the group run a particular program
%mygroup ALL = (root) /usr/local/bin/mycommand arg1 arg2
# give full superuser privilages to the group
%mygroup ALL = (ALL) ALL