You Do Need power plug adapter while traveling from Martinique to Isle of Man.

Here is Why You Need An Adapter

The outlet and plug type used in Isle of Man are C and G and in Martinique are C, D and E. This is how they look like.

Martinique

In Martinique, outlets of type C, D and E are in use.

Type C

Type D

Type E

Isle of Man

In Isle of Man, outlets of type C and G are in use.

Type C

Type G