On Boeing aircraft, the "centerbody" is part of the exhaust system. It is the inner is the inner part of the exhaust as shown in the picture below (the outer part being called the primary nozzle). The centerbody is also referred to informally as the "plug". Since your question seems to be asking about fan and compressor cases, this doesn't seem to fit. I'm not sure what Airbus or other airframers call this part, so maybe the word "centerbody" is used differently in different contexts. But for a Boeing airframe, that's the centerbody.
For turbofans which use a "quick engine change" concept, the fan frame actually splits into two pieces. The "fan hub frame" referred to the inner part. Hence the word "hub" in the name. I've marked it up in the image below. This photoThis photo also illustrates the concept pretty well. This shows an engine being assembled. The outer part of the fan frame (with fan case attached) is on the right, and the fan hub frame (with the rest of the engine core attached) is on the left. The "fan hub frame" proper is the part just to the right of the yellow tape.
The term "intermediate case" is ambiguous to me. I could think of two or three different things that that might refer to. On a two spool engine, that probably refers to the booster case, which is usually immediately forward of the fan frame. But on a three spool engine, it probably refers to the intermediate compressor case, which is usually just aft of the fan frame. Do you have more context?