I thought this was an excellent, well developed effort. The explanations of each character and their powers - especially the diversity of said powers - was done quite well, as was the personification behind not only the four children who are the focus of the story, but also their captors-slash-caretakers.
While I'm not sure whether or not I'll continue with this series just yet, I have to say that my curiosity has been piqued and if I didn't have a huge To-Read list already, I'd definitely see how things developed in the later books. There's a charming "Forthright Englishman" feel to the setting, which counterpoints the subsequent fantasy and ultra-science feel of the abilities of the four children, and it is this dichotomy that I found especially appealing, and has me leaning towards reading the rest of the series at some point in the future.
HOWEVER, to give fair warning, there are some points at which I had to consider the author's mental stability. The main character, Amelia, finds herself the subject of some rather lascivious scrutiny by the very definition of the phrase 'Dirty Old Man', and in a few instances, even finds herself tied up and helpless. The subsequent titillation she gets from these situations smacks a little too harshly of rape-fantasies that, if the assertion of 'authors putting themselves into books', speaks to an unhealthy misogyny and rape-fantasy fetish that might be lurking in Mr. Wright's subconscious. While this is a considerable stumbling block, if you can get past that, the rest of the story is considerably entertaining.
ADDENDUM AND CORRECTIONS
If there is one thing that we as children of the Information Age have learned, it is the tenet that The Internet Never Forgets, so I would like to say, right here and now, that I am sorry for the above paragraphs. I am sorry for the support I gave to a man like John C. Wright. I have, since writing the above, learned that John Wright falls into the same category of Privileged White Cis-Gendered Male Asshole Homophobe as Orson Scott Card, and to me this is a shame. It is a shame because the writing and story (sans all of the rape fantasy) is intriguing and soaked with symbolism, Greek mythology, and some unusual ideas that would have done very well and I would have enjoyed reading had they not been coupled to some truly horrific anti-woman propaganda that is rooted in the monolithic patriarchy of Judeo-Christian thinking. Partly, I am ashamed that I enjoyed this man's writing and was so easily able to excuse his obvious misogyny, and partly I am ashamed that the kind of thinking that this man espouses still exists in the world, and lastly, I am partly ashamed that the author was not good enough to keep his personal views towards women and sexuality out of what otherwise would have been a good sci-fi series.
John C. Wright will no longer receive any of my support, praise, or money. It will make no difference to neanderthal-minded women-hating zealots like Wright, but I can do my part to dissuade others from thinking like or supporting people like him.