SELECT 
  gp.*, 
  p.company_id 
FROM 
  cscart_product_variation_group_products AS gp 
  LEFT JOIN cscart_products AS p ON gp.product_id = p.product_id 
WHERE 
  gp.group_id IN (10737)

Query time 0.00063

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "21.60"
    },
    "nested_loop": [
      {
        "table": {
          "table_name": "gp",
          "access_type": "ref",
          "possible_keys": [
            "idx_group_id"
          ],
          "key": "idx_group_id",
          "used_key_parts": [
            "group_id"
          ],
          "key_length": "3",
          "ref": [
            "const"
          ],
          "rows_examined_per_scan": 9,
          "rows_produced_per_join": 9,
          "filtered": "100.00",
          "cost_info": {
            "read_cost": "9.00",
            "eval_cost": "1.80",
            "prefix_cost": "10.80",
            "data_read_per_join": "144"
          },
          "used_columns": [
            "product_id",
            "parent_product_id",
            "group_id"
          ]
        }
      },
      {
        "table": {
          "table_name": "p",
          "access_type": "eq_ref",
          "possible_keys": [
            "PRIMARY"
          ],
          "key": "PRIMARY",
          "used_key_parts": [
            "product_id"
          ],
          "key_length": "3",
          "ref": [
            "webmarco.gp.product_id"
          ],
          "rows_examined_per_scan": 1,
          "rows_produced_per_join": 9,
          "filtered": "100.00",
          "cost_info": {
            "read_cost": "9.00",
            "eval_cost": "1.80",
            "prefix_cost": "21.60",
            "data_read_per_join": "70K"
          },
          "used_columns": [
            "product_id",
            "company_id"
          ]
        }
      }
    ]
  }
}

Result

product_id parent_product_id group_id company_id
432251 0 10737 719
432259 432251 10737 719
432260 432251 10737 719
432261 432251 10737 719
432262 432251 10737 719
432263 432251 10737 719
432264 432251 10737 719
432265 432251 10737 719
432266 432251 10737 719