SELECT 
  q_products_categories.product_id, 
  GROUP_CONCAT(
    IF(
      q_products_categories.link_type = "M", 
      CONCAT(
        q_products_categories.category_id, 
        "M"
      ), 
      q_products_categories.category_id
    )
  ) AS category_ids, 
  product_position_source.position AS position 
FROM 
  q_products_categories 
  INNER JOIN q_categories ON q_categories.category_id = q_products_categories.category_id 
  AND (
    q_categories.usergroup_ids = '' 
    OR FIND_IN_SET(0, q_categories.usergroup_ids) 
    OR FIND_IN_SET(1, q_categories.usergroup_ids)
  ) 
  AND q_categories.status IN ('A', 'H') 
  LEFT JOIN q_products_categories AS product_position_source ON q_products_categories.product_id = product_position_source.product_id 
  AND product_position_source.category_id = 438 
WHERE 
  q_products_categories.product_id IN (
    3628, 3629, 3630, 3631, 3632, 3633, 3634, 
    3635, 3636, 3637, 3638, 3639, 3640, 
    3641, 3642, 3643, 3644, 3645, 3646, 
    3647, 3648, 3649, 3650, 3651, 3652, 
    3653, 3654, 3655, 3656, 3657, 3658, 
    3659
  ) 
GROUP BY 
  q_products_categories.product_id

Query time 0.00105

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "157.41"
    },
    "grouping_operation": {
      "using_filesort": false,
      "nested_loop": [
        {
          "table": {
            "table_name": "q_products_categories",
            "access_type": "range",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "pt",
            "used_key_parts": [
              "product_id"
            ],
            "key_length": "3",
            "rows_examined_per_scan": 33,
            "rows_produced_per_join": 33,
            "filtered": "100.00",
            "index_condition": "(`portal`.`q_products_categories`.`product_id` in (3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659))",
            "cost_info": {
              "read_cost": "71.61",
              "eval_cost": "6.60",
              "prefix_cost": "78.21",
              "data_read_per_join": "528"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "table": {
            "table_name": "product_position_source",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id",
              "product_id"
            ],
            "key_length": "6",
            "ref": [
              "const",
              "portal.q_products_categories.product_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 33,
            "filtered": "100.00",
            "cost_info": {
              "read_cost": "33.00",
              "eval_cost": "6.60",
              "prefix_cost": "117.81",
              "data_read_per_join": "528"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "position"
            ]
          }
        },
        {
          "table": {
            "table_name": "q_categories",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id"
            ],
            "key_length": "3",
            "ref": [
              "portal.q_products_categories.category_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 6,
            "filtered": "20.00",
            "cost_info": {
              "read_cost": "33.00",
              "eval_cost": "1.32",
              "prefix_cost": "157.41",
              "data_read_per_join": "17K"
            },
            "used_columns": [
              "category_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "(((`portal`.`q_categories`.`usergroup_ids` = '') or find_in_set(0,`portal`.`q_categories`.`usergroup_ids`) or find_in_set(1,`portal`.`q_categories`.`usergroup_ids`)) and (`portal`.`q_categories`.`status` in ('A','H')))"
          }
        }
      ]
    }
  }
}

Result

product_id category_ids position
3628 442M
3629 442M
3630 478M
3631 478M
3632 478M
3633 478M
3634 478M
3635 478M
3636 478M
3637 479M
3638 479M
3639 479M
3640 455M
3641 455M
3642 442M
3643 479M
3644 479M
3645 479M
3646 479M
3647 478M
3648 479M
3649 442M
3650 442M
3651 478,477M
3652 478,477M
3653 478,477M
3654 478,477M
3655 478,477M
3656 478,477M
3657 478,477M
3658 478,477M
3659 477,478M