Altruistic and Virtuous

 Can you be altruistic but not virtuous? Altruistic fits in as sub category of virtue, in other words, an altruistic act is automatically a virtuous act. However this does not work the other way, not every virtuous act is altruistic. You can practice always telling the truth but even though this is a very worthy practice it is not altruistic, it is  usually not directly helping anyone else. Just because you do not fit into the idea of being altruistic does not mean that you are not a virtuous and morally good person, it simply means that your actions do not tend to focus on purley helping others.