Do you maybe know of some good book that has a comprehensive explanation of these divisions, preferably with reference to the historical context of their development, and also their ancestral geographic origins?
Not really. As far as I'm aware most of the history books on this sort of thing are either books which focus on a specific group, or are books about the history of Jews from a very long time, and thus don't have as much focus on the last few hundred years when the modern divisions have arose. I've been told that Hayim Ben-Sasson's "A History of the Jewish People" is in general a good book written from a modern, scholarly perspective. It has a section on the modern era which should be good. I haven't read it myself though. I'm not aware of any book that focuses specifically on the chassidim which is what one would probably want. I suspect such books exist, but you can do a Google search as easily as I can, and I'm not going to be able to evaluate the books in any useful way.
However, the main divisions aren't that complicated to summarize, and one doesn't need much detail to have the context to follow things like New York Times articles about them. Data dump follows:
In the late 1700s, the Ba'al Shem Tov started the chassidic movement. The movement initially emphasized song, dance and prayer over religious study. This was a big deal because it gave the regular Jews, not just the bright scholars, something to do. The movement also had a strong mystical element and a focus on charismatic leaders. The movement quickly split into groups based on separate charismatic leaders whom the members would refer to as "Rebbe" (which literally means "my Rabbi"). The different groups were divided up by essentially geographic lines, and became named after the various cities where they were centered. Lubavitch had the Lubavitchers, Satu Mare had the Satmars, etc. A humorous aside is to note that the very late formed Boston chassidim are stuck with a very American sounding name; that is sometimes made up for by calling them "Bostoners" with a heavy Yiddish accent.
There was a strong reaction against chassidic movement which disrupted the pre-existing social norms, and power struggles. Moreover, there was perception (of some but not much justification) that the chassidim were ideological descendants of Sabbatai Zevi, an extremely disruptive individual who claimed to be the messiah about a hundred and fifty years before. The people against the chassidim were often called "misnagdim" from the Hebrew word for "against", and a complicating factor arose that some people used misnagid to mean non-chassic (and chassidim still use it that way sometimes with very negative connotations).
This all took place during the general emancipation of Jews in Europe. Restrictions on their businesses and where they could live were dropped. The rise of the chassidic movement was thus one of a number of factors which severely disrupted the pre-existing social structure. In that chaos, other groups arose also, including Reform Judaism (around 1900 the Conservative movement would break off from the Reform, trying to return to more strict beliefs and practices but not nearly as strict as the Orthodox). At around this era, the notion of Orthodox started to arise as a separate term (prior to that no one needed a separate notion).
At the same time, in reaction to the Reform movement, the so called "ultra-Orthodox" or "charedi" arose becoming more religious and increasing how strict their observances were. At the same time, this group sort of pulled the chassidim along in some ways, making the chassidim more focused on learning and studying of classical texts, and at the same time, the chassidic movement started producing its own texts which became very important for each of the corresponding chassidic groups. Thus the chassidic groups as they exist today are more intellectual than classical chassidim. At the same time, some of the ideas that the chassidim had (especially about singing and dancing being fun things that are good in religious settings) became more common among the general Orthodox population. In that sense, the original chassidim in many ways won, in a similar way to how over time the Catholic church has adopted many ideas that the early Protestants were calling for.
The modern Orthodox also arose, which believed in keeping the classical laws while interacting with the secular world. In principle, this meant also accepting scientific knowledge about things like the age of the earth, however, studies (especially those by Alexander Nussbaum) show that among Orthodox students at secular universities, the acceptance of evolution, or the age of the Earth and similar issues is surprisingly low. The so-called "Modern Orthodox" have been more or less pulled in the last few years to the right in many ways, and attitudes about science is only one aspect. To complicate matters further, many Orthodox people don't like the large set of connotations that either "modern Orthodox" or "charedi/ultra-Orthodox" brings (the issues are similar to those of what constitutes a blegg) and so self-identify as only Orthodox or observant. Some sometimes use the Yiddish word "frum" or occasionally "shomer mitzvot" which is Hebrew for "guards the commandments". Also, some people when they hear the word "charedi" think one means non-chassidic ultra-Orthodox, this is especially true in Israel. And this can lead to some confusion if one isn't careful.
And now that I've typed all this I've realized that I haven't dealt with any of the different groups' attitudes towards the State of Israel, which is actually really important to understanding them in any modern context. So, um yeah, I guess this is a lot more complicated than I realized and I've just internalized it. If there's a real need I can explain that (there are a lot of misconceptions about this among both non-Orthodox Jews and non-Jews. In particular, the ultra-Orthodox are not generally the people who are pushing for right-wing policies in Israel regarding the Israeli-Palestinian conflict.)
Thanks for the informative reply! As you note, however, the topic really is too complex to address in a single comment. For one, if I understand correctly, you're writing only about various Ashkenazi groups -- and one of the issues I find most puzzling is how they relate to the other geographic/linguistic/ethnic Jewish groups and their subdivisions. Another question where I can't find a clear answer is the relationship of various local Jewish groups with national governments, both in Israel and in other countries. In particular, in many countries there is ...
I was browsing my RSS feed, as one does, and came across a New York Times article, "A Village With the Numbers, Not the Image, of the Poorest Place", about the Satmar Hasidic Jews of Kiryas Joel (NY).
Their interest lies in their extraordinarily high birthrate & population growth, and their poverty - which are connected. From the article:
From Wikipedia:
Robin Hanson has argued that uploaded/emulated minds will establish a new Malthusian/Darwinian equilibrium in "IF UPLOADS COME FIRST: The crack of a future dawn" - an equilibrium in comparison to which our own economy will look like a delusive dreamtime of impossibly unfit and libertine behavior. The demographic transition will not last forever. But despite our own distaste for countless lives living at near-subsistence rather than our own extreme per-capita wealth (see the Repugnant Conclusion), those many lives will be happy ones (even amidst disaster).
So. Are the inhabitants of Kiryas Joel unhappy?