Sorting an array of String with custom ordering

I have a String array:

 String[] str = {"ab" , "fog", "dog", "car", "bed"};
 Arrays.sort(str);
 System.out.println(Arrays.toString(str));

If I use Arrays.sort, the output is:

 [ab, bed, car, dog, fog]

But I need to implement the following ordering:

FCBWHJLOAQUXMPVINTKGZERDYS

I think I need to implement Comparator and override compare method:

 Arrays.sort(str, new Comparator<String>() {

        @Override
        public int compare(String o1, String o2) {
            // TODO Auto-generated method stub
            return 0;
        }
    });

How should I go about solving this?