Ok, here’s an example:
Operations – produces the products
Engineering – supports operations
Manufacturing Engineering / Operations Engineering – designs the factory for operations to use.
Test Engineering – tests the products to specifications
Quality Engineering – oversees the output of each group for the attributes of the finished product.
Facilities Engineering – provides the physical plant – electrical, plumbing, gasses, floor space, furniture.
Product Engineering – maintains the revisions to the products, maintains product specifications.
Methods & Process Engineering – designs the way operations will implement the assembly and test processes.
Calibration & Maintenance – maintains equipment to prevent unexpected production interruptions.
Supplier Engineering – works with suppliers on quality problems with materials.
Materials Engineering – selects/tests/qualifies the raw materials used by operations.
Purchasing – purchases the materials as needed.
Planning – translates customer demand of finished products into the quantity of materials needed to build the demand.
Program Management – customer interface for product demand and fulfillment.
Shipping/Customs/Logistics – gets both incoming and outgoing material where it needs to be on time.
Finance – pays the bills and collects the revenue.
and finally, the cafeteria, who makes the coffee to keep everyone awake!