An overman as described by Zarathustra, the main character in Thus Spoke Zarathustra, is the one who is willing to risk all for the sake of enhancement of humanity. In contrary to the last man whose sole desire is his own comfort and is incapable of creating anything beyond oneself in any form. This should suggest that an overman is someone who can establish his own values as the world in which others live their lives, often unaware that they are not pregiven. This means an overman can affect and influence the lives of others. In other words, an overman has his own values, independent of others, which affects and dominates others' lives that may not have predetermined values but only herd instinct. An overman is then someone who has a life which is not merely to live each day with no meanings when nothing in the past and future is more important than the present, or more precisely, the pleasure and happiness in the present, but with the purpose for humanity.
https://ccrma.stanford.edu/~pj97/Nietzsche.htm
A very interesting read. I love the idea that Human are just sheep, and it is only those who are willing to take risks who actually shape the culture of Humanity.It almost seems to be contrasting the ideas of Buddhism, and "just go with the moment", against the ideas of capitalism, and progressivism, where the happiness of the individual is not even considered, and instead the ideal of Humanity is seen more as someone who can contribute to a greater whole.
I don't really know what the overman morality is. But if i would take a guess, it would be creating a own morality and not adopting the values of others. Which is kind of hard for sociopaths. Because we lack the concious of good or bad. Well we can create a own morality but it would be fucked up for others and maybe makes us end up in jail.
I personally adapted the Felicific calculus. If you dont know what it is google it.