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 (12572)

Query time 0.00077

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": 8,
          "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
16888 5300 12572 141
16881 5300 12572 141
16880 5300 12572 141
16879 5300 12572 141
16878 5300 12572 141
16877 5300 12572 141
16876 5300 12572 141
16875 5300 12572 141
5300 0 12572 141