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 (
    14562, 14563, 14564, 14565, 14566, 14567, 
    14568, 14569, 14570, 14571, 14572, 
    14573, 14574, 14575, 14576, 14577
  ) 
GROUP BY 
  q_products_categories.product_id

Query time 0.00073

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "57.61"
    },
    "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": 16,
            "rows_produced_per_join": 16,
            "filtered": "100.00",
            "index_condition": "(`portal`.`q_products_categories`.`product_id` in (14562,14563,14564,14565,14566,14567,14568,14569,14570,14571,14572,14573,14574,14575,14576,14577))",
            "cost_info": {
              "read_cost": "35.21",
              "eval_cost": "3.20",
              "prefix_cost": "38.41",
              "data_read_per_join": "256"
            },
            "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": 3,
            "filtered": "20.00",
            "cost_info": {
              "read_cost": "16.00",
              "eval_cost": "0.64",
              "prefix_cost": "57.61",
              "data_read_per_join": "8K"
            },
            "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
14562 606M
14563 412M
14564 204M
14565 204M
14566 429M
14567 422M
14568 418M
14569 193M
14570 194M
14571 194M
14572 194M
14573 185M
14574 402M
14575 201M
14576 201M
14577 201M