MySQL – Apply INNER JOIN Only if Row Available, Otherwise Use NULL

+----+-----------+-----------+-------------+----------+
| id | value_id  | parent_id | dropdown_id | name     |
+----+-----------+-----------+-------------+----------+
|  7 | 14945     |  14944    |         57  |4000      |
|  8 | 14944     |  0        |         56  |bbb       |
|  9 | 14943     |  14940    |         59  |comprable |
| 10 | 14942     |  14939    |         59  |comprable |
| 11 | 14940     |  14931    |         58  |3         |
| 12 | 14939     |  14930    |         58  |2         |
| 13 | 14931     |  14929    |         57  |5000      |
| 14 | 14930     |  14928    |         57  |4000      |
| 15 | 14929     |  0        |         56  |rrr       |
| 16 | 14928     |  0        |         56  |ttt       |
+----+-----------+-----------+-------------+----------+

I have above table with data. I an using below query to get data from the table.

SELECT `d0`.`name` AS `name0`, `d1`.`name` AS `name1`, `d2`.`name` AS `name2`, `d3`.`name` AS `name3` FROM `my_table_1` AS `d0`
 INNER JOIN `my_table_1` AS `d1` ON d1.parent_id = d0.value_id
 INNER JOIN `my_table_1` AS `d2` ON d2.parent_id = d1.value_id
 INNER JOIN `my_table_1` AS `d3` ON d3.parent_id = d2.value_id
 WHERE (d0.dropdown_id=56)

Here I am using inner join to get value_id from its parent_id.

Basically, it will check if there is a parent available for current record and will get its data if any. I can get correct data if I have as number of parents for a record as the number of INNER JOIN

Like with above query I get details like

+-------+-------+-------+-----------+
| name0 | name1 | name2 |   name3   |
+-------+-------+-------+-----------+
| ttt   |  4000 |     2 | comprable |
| rrr   |  5000 |     3 | comprable |
+-------+-------+-------+-----------+

Here I want to get below table

+-------+-------+-------+-----------+
| name0 | name1 | name2 |   name3   |
+-------+-------+-------+-----------+
| ttt   |  4000 |     2 | comprable |
| rrr   |  5000 |     3 | comprable |
| bbb   |  4000 |  NULL | NULL      |
+-------+-------+-------+-----------+

Here in last row, I do not have d2 and d3 tables available. I want to include that data too with NULL value.

Any help is appreciated.