As we can see in
24, Jack Bauer is quite obviously a heterosexual man and, therefore, according to Freud, not an "invert." When talking about Jack's sexuality, it's most likely that the two things that would be evident immediately would be his castration complex and sadistic tendencies. To elaborate, despite being a dominant person in the workplace and with his family, a castration complex can be said to be brought about by the stress that comes with both of those things. In the beginning of the pilot episode, we first see that he and his wife had been having trouble already. Now, that does not cause the complex to completely surface but, with the running away of his daughter, it begins to surface and, then, when trouble erupts at work, only stressing him more, it certainly comes into full view. His possible failure to perform at work would be castration but, more importantly, so would his failure to find his daughter. A more secondary reason for the existence of his castration complex is that his wife does not want to operate with the family model that he wants his family to follow. He wants to be in control whilst his wife wants it to be more of a joint effort.
Moving on, his sadistic tendencies become most evident when we see what it is that he does for a living. He is a Federal agent in an anti-terrorist unit and you could argue that the reason for that is that, in his sexual life, he doesn't get to express his aggressive tendencies and, therefore, he has his job to compensate for that. The guns that he fires could be seen as being phallic.
In all, Jack Bauer can be said to be sexually well-balanced due to having his wife with whom he expresses his sexual desires and he has his job in which he expresses his aggressive side.
