Genderqueer tends to be an umbrella term for anything that isn't binary male or female, although it can be used as a specific term if the person wants.

Androgynous means that you feel a combination of both male and female traits.

Genderless means that you don't feel any association to gender at all. You have no sense of gender identity.

Agender means that you do feel a gender identity but it is not made of male or female traits. Your gender identity is neither male nor female, but neutral.

Neutrois is what transsexual is to transgender, essentially. People who are neutrois are often genderless or agender as well who want to physically transition to having no primary and/or secondary sexual characteristics.