Make Organization

I have a table with organizational structure. It has an ID column called ID. The table also has a column called MOTHER_ID. This refers to the level (MOR) above in the organizational structure. It also has a row that says which level in the organization the row belongs to. We can have 6 levels.
Table looks like this:

I want to "flatten it out" so it has this structure:

And the result should be like this: 

TThe rows that are on level 6 should have a different id in each column. But rows that is in higher levels are going to mirror the value on the last level into all the missing levels. 

Example

Level 1 row should mirror Level1 values into all columns. 
Level 2 rows will look like this (Level 1 on top, then level 2 on the rest):

Level 3 rows will look like this (Level 1 on top, then level 2 and then level 3 on the rest):

I tried a code like this: 

WITH OrgCTE AS (
    SELECT 
        ID AS Level1_ID,
        Name AS Level1_Name,
        ID AS Level2_ID,
        Name AS Level2_Name,
        ID AS Level3_ID,
        Name AS Level3_Name,
        ID AS Level4_ID,
        Name AS Level4_Name,
        ID AS Level5_ID,
        Name AS Level5_Name,
        ID AS Level6_ID,
        Name AS Level6_Name,
        ID,
        MOTHER_ID,
        Level
    FROM Tabell1
    WHERE Level = 1

    UNION ALL

    SELECT 
        c.Level1_ID,
        c.Level1_Name,
        CASE WHEN p.Level = 2 THEN p.ID ELSE c.Level2_ID END,
        CASE WHEN p.Level = 2 THEN p.Name ELSE c.Level2_Name END,
        CASE WHEN p.Level = 3 THEN p.ID ELSE c.Level3_ID END,
        CASE WHEN p.Level = 3 THEN p.Name ELSE c.Level3_Name END,
        CASE WHEN p.Level = 4 THEN p.ID ELSE c.Level4_ID END,
        CASE WHEN p.Level = 4 THEN p.Name ELSE c.Level4_Name END,
        CASE WHEN p.Level = 5 THEN p.ID ELSE c.Level5_ID END,
        CASE WHEN p.Level = 5 THEN p.Name ELSE c.Level5_Name END,
        CASE WHEN p.Level = 6 THEN p.ID ELSE c.Level6_ID END,
        CASE WHEN p.Level = 6 THEN p.Name ELSE c.Level6_Name END,
        p.ID,
        p.MOTHER_ID,
        p.Level
    FROM Tabell1 p
    INNER JOIN OrgCTE c ON p.MOTHER_ID = c.ID
)
SELECT 
    Level1_ID,
    Level1_Name,
    Level2_ID,
    Level2_Name,
    Level3_ID,
    Level3_Name,
    Level4_ID,
    Level4_Name,
    Level5_ID,
    Level5_Name,
    Level6_ID,
    Level6_Name
FROM OrgCTE
ORDER BY Level1_ID, Level2_ID, Level3_ID, Level4_ID, Level5_ID, Level6_ID;

But this did not mirror the lowest ID for the row. It just put Level1 ID for the missing levels.
Like this:

Suggestions?