Although the numbers shown in the link you provided are common, the only once that are defined by the
Linux Standard Base are
root and
bin.
The group root with a Group ID (GID) of 0, a group bin with a GID of 1 be present. All other group names and GIDs can be chosen freely by the system administrator since well-written programs do not depend on GID numbers, but rather use the group's name.
LFS, for example uses 10 for dialout and Debian uses 20.
BTW: Restarting the system isn't needed when you add a user or group.