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 (16126)

Query time 0.00190

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "gp",
          "access_type": "ref",
          "possible_keys": ["idx_group_id"],
          "key": "idx_group_id",
          "key_length": "3",
          "used_key_parts": ["group_id"],
          "ref": ["const"],
          "rows": 9,
          "filtered": 100
        }
      },
      {
        "table": {
          "table_name": "p",
          "access_type": "eq_ref",
          "possible_keys": ["PRIMARY"],
          "key": "PRIMARY",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "ref": ["dev_db.gp.product_id"],
          "rows": 1,
          "filtered": 100
        }
      }
    ]
  }
}

Result

product_id parent_product_id group_id company_id
38626 0 16126 692
38628 38626 16126 692
38629 38626 16126 692
38630 38626 16126 692
38631 38626 16126 692
38634 38626 16126 692
38635 38626 16126 692
38636 38626 16126 692
38640 38626 16126 692
38641 38626 16126 692
38646 38626 16126 692