The types of groups that are included if one will create a Saved Search under Lists > Search > Saved Searches > New when Search Type is Group.
Solution
Public and Private Static Group
Navigate to Lists > Relationships > Groups > New
Create Group:
What kind of group would you like to create?: Select Static
What kind of members would you like to include?: Select an Entity type
Click Continue
Public and Private Dynamic Group
Navigate to Lists > Relationships > Groups > New
Create Group:
What kind of group would you like to create?: Select Dynamic
What kind of members would you like to include?: Select an Entity type
Click Continue
Sales Team
Navigate to Setup > Sales > Sales Teams > New
Create Sales Team:
Name: Enter Name
Group Members:
Name: Select Name (Group Members)
Click Save
Note: All Entities are included (Customer, Contact, Employee, Partner, Project, Vendor). In creating a Static Group of Employees, if one of the Support Group/Product Team/Functional Team boxes are checked it will also be included in the result of a Group Saved Search.