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 
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') 
WHERE 
  q_products_categories.product_id IN (
    9120, 9121, 9122, 9123, 9124, 9125, 9126, 
    9127, 9128, 9129, 9130, 9131, 9132, 
    9133, 9134, 9135
  ) 
GROUP BY 
  q_products_categories.product_id

Query time 0.00064

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "75.81"
    },
    "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": 23,
            "rows_produced_per_join": 23,
            "filtered": "100.00",
            "index_condition": "(`portal`.`q_products_categories`.`product_id` in (9120,9121,9122,9123,9124,9125,9126,9127,9128,9129,9130,9131,9132,9133,9134,9135))",
            "cost_info": {
              "read_cost": "43.61",
              "eval_cost": "4.60",
              "prefix_cost": "48.21",
              "data_read_per_join": "368"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "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": 4,
            "filtered": "20.00",
            "cost_info": {
              "read_cost": "23.00",
              "eval_cost": "0.92",
              "prefix_cost": "75.81",
              "data_read_per_join": "12K"
            },
            "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
9120 199M
9121 428,199M
9122 199,428M
9123 199,193M
9124 418M
9125 419M
9126 419M
9127 442,548M
9128 548,442M
9129 548,442M
9130 427M
9131 282M
9132 282M
9133 282M
9134 282M
9135 282M