What they do know about their powers is that they are caused by a relatively rare, anomalous gene. Someone with this gene can be either a Level 1, 2, or 3 anomaly. Level 3 anomalies can go through their entire lives and never be affected by the gene.
Walker and Diana Hanson are both Level 3's.
Level 2 anomalies can subconsciously use their powers throughout their lives. They have no control over this power at all. However, it is possible for a Level 2 to become a Level 1.
Level 1 anomalies know they have their powers and so can control them.
Isaac is a Level 1. He is also the strongest amongst them. His known powers are:
Telepathy - which allows him to communicate with his mind to other telepaths
Telekinesis - which allows him to move objects with his mind
Shape Shifting - which allows him to change his shape into pretty much anything he wants, including people, objects and surfaces
Force Fields - which allows him to protect himself from attacks (i.e. rocks thrown at him)
Taylor is a Level 1, but he does have a Level 2 power. His known powers are:
Deep Telepathy - which allows him to communicate with his mind to other telepaths and read the minds of any one, telepathic or not, block up or not
Empathy - which allows him to feel the emotions of people around him, and project what he is feeling or what someone else nearby is feeling, onto another person nearby. He can also feel the personality traits and empathic signatures of people. When he grows stronger it is expected that he will be able to sense people's inner feelings.
Attraction - little is known about this Level 2 power, except that it subconsciously attracts people to him (some more so than others)
Zac is a Level 1. His known powers are:
(affinity with) Electricity - this allows him to create, manipulate and 'destroy' electricity, he is also unharmed by it.
(affinity with) Water - this allows him to create, manipulate, and 'destroy' water, he is also unharmed by it.
Restoration - allows him to restore the previous state of certain things that are not living, full list undefined.
Jessica is a Level 1. Her known powers are:
Healing - which allows her to heal any wounds inflicted on her or others. When she grows stronger it is expected that she will be able to sense people's afflictions.
Empathy - which allows her to feel the emotions of people around him, and project what he is feeling or what someone else nearby is feeling, onto another person nearby. She can also feel the personality traits and empathic signatures of people. When she grows stronger it is expected she will be able to feel people's inner feelings.
Dreams - which allows her to watch and manipulate other people's dreams
Avery is a Level 1. Her known powers are:
Light - which allows her to manipulate all forms of light
Ice breath - which allows her to breathe ice-cold breath, and therefore create solid forms of ice
Speed - which allows her to move at incredible speeds
Mackie is a Level 1. His known powers are:
Telekinesis - which allows him to move objects with his mind
Telepathy - which allows him to communicate with his mind to other telepaths
Teleportation - which allows him to instantly transport objects
Zoe is a Level 1, but she also has a Level 2 power. Her known powers are:
Telepathy - which allows her to communicate with her mind to other telepaths
(affinity with) Fire - which allows her to create, manipulate and 'destroy' fire, she is also unharmed by it
Attraction - little is known about this Level 2 power, except that it subconsciously attracts people to her (some more so than others)
Rachel is a Level 1. Her known powers are:
Telepathy - which allows her to communicate with her mind to other telepaths
(affinity with) Weather - which allows her to manipulate and predict weather
Previously they discovered that there was another anomaly, a guy with an ability to enhance their powers. They also decided it would be safer for all of them if they stayed away from him.