SELECT 
  f.feature_id, 
  f.purpose, 
  p.product_id, 
  p.parent_product_id, 
  g.id, 
  g.code 
FROM 
  cscart_product_variation_group_features AS f 
  INNER JOIN cscart_product_variation_groups AS g ON f.group_id = g.id 
  INNER JOIN cscart_product_variation_group_products AS p ON f.group_id = p.group_id 
WHERE 
  p.product_id IN (
    39924, 69361, 37536, 10154, 69869, 68534, 
    3564, 66921
  )

Query time 0.00045

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.01"
    },
    "nested_loop": [
      {
        "table": {
          "table_name": "p",
          "access_type": "range",
          "possible_keys": [
            "PRIMARY",
            "idx_group_id"
          ],
          "key": "PRIMARY",
          "used_key_parts": [
            "product_id"
          ],
          "key_length": "3",
          "rows_examined_per_scan": 8,
          "rows_produced_per_join": 8,
          "filtered": "100.00",
          "index_condition": "(`cscart_db`.`p`.`product_id` in (39924,69361,37536,10154,69869,68534,3564,66921))",
          "cost_info": {
            "read_cost": "4.81",
            "eval_cost": "0.80",
            "prefix_cost": "5.61",
            "data_read_per_join": "128"
          },
          "used_columns": [
            "product_id",
            "parent_product_id",
            "group_id"
          ]
        }
      },
      {
        "table": {
          "table_name": "g",
          "access_type": "eq_ref",
          "possible_keys": [
            "PRIMARY"
          ],
          "key": "PRIMARY",
          "used_key_parts": [
            "id"
          ],
          "key_length": "3",
          "ref": [
            "cscart_db.p.group_id"
          ],
          "rows_examined_per_scan": 1,
          "rows_produced_per_join": 8,
          "filtered": "100.00",
          "cost_info": {
            "read_cost": "2.00",
            "eval_cost": "0.80",
            "prefix_cost": "8.41",
            "data_read_per_join": "3K"
          },
          "used_columns": [
            "id",
            "code"
          ]
        }
      },
      {
        "table": {
          "table_name": "f",
          "access_type": "ref",
          "possible_keys": [
            "idx_group_id"
          ],
          "key": "idx_group_id",
          "used_key_parts": [
            "group_id"
          ],
          "key_length": "3",
          "ref": [
            "cscart_db.p.group_id"
          ],
          "rows_examined_per_scan": 2,
          "rows_produced_per_join": 16,
          "filtered": "100.00",
          "cost_info": {
            "read_cost": "4.00",
            "eval_cost": "1.60",
            "prefix_cost": "14.01",
            "data_read_per_join": "1K"
          },
          "used_columns": [
            "feature_id",
            "purpose",
            "group_id"
          ]
        }
      }
    ]
  }
}

Result

feature_id purpose product_id parent_product_id id code
63 group_catalog_item 3564 0 1123 PV-3FB986353
68 group_variation_catalog_item 3564 0 1123 PV-3FB986353
67 group_catalog_item 3564 0 1123 PV-3FB986353
65 group_catalog_item 39924 0 946 PV-D8A0C74FF
68 group_catalog_item 39924 0 946 PV-D8A0C74FF
63 group_catalog_item 39924 0 946 PV-D8A0C74FF
63 group_catalog_item 66921 0 1064 PV-D1B2E9FBF
68 group_catalog_item 66921 0 1064 PV-D1B2E9FBF
162 group_catalog_item 66921 0 1064 PV-D1B2E9FBF