You Do Need power plug adapter while traveling from New Caledonia to Central African Republic.

Here is Why You Need An Adapter

The outlet and plug type used in Central African Republic are C and E and in New Caledonia are C and F. This is how they look like.

New Caledonia

In New Caledonia, outlets of type C and F are in use.

Type C

Type F

Central African Republic

In Central African Republic, outlets of type C and E are in use.

Type C

Type E