Power bi Matrix column value Based on count

You will have to create a new table with the groups you want as there are no references in the table for Power BI to add a 0 agains it. 

You can then create a relationship between the two tables like this

The next step is to create a measure that will replace the blanks with 0.

Measure = 
VAR total_rows =
    COUNTROWS('Group_data')
Return
    COALESCE(total_rows, 0)

I have called my table 'Group_data'. You will need to replace the bit in green with the name of your table.

You will then need to use this measure along with the column in the new table you have created in a matix