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The Nazis, under cover of the war, developed the technology, bureaucracy, and psychology of hate to efficiently murder millions of Jews. The details of the “Final Solution” were worked out at the Wannsee Conference. All Jews in Germany and the occupied countries were deported to sealed ghettos as a holding area. Many were then shipped in cattle cars to labor camps where they lived under brutally inhuman conditions. Hundreds of thousands were sent directly to the gas chambers in death camps. As the Allies advanced on the camps, death marches further depleted the ranks of potential camp survivors.

The German occupation authorities carried out shooting operations of Jews and others they deemed to be potential enemies of permanent German rule in the east; these operations lasted until the Germans evacuated the Soviet Union in the first half of 1944. The SS and police often did not have sufficient manpower to carry out these operations, so they were assisted whenever necessary by local auxiliaries whom they recruited and by units of the German armed forces. The Germans and their collaborators killed between 1.0 and 1.5 million Jews in shooting operations or in gas vans in the occupied Soviet Union

Because that day never came, both Miep Gies, the selflessly courageous woman who devoted herself to the sustenance of those in hiding, and Hannah Goslar, Anne’s Jewish schoolmate and the last to hear her tremulous cries in Bergen-Belsen, objected to Otto Frank’s emphasis on the diary’s “truly good at heart” utterance. That single sentence has become, universally, Anne Frank’s message, virtually her motto—whether or not such a credo could have survived the camps. Why should this sentence be taken as emblematic, and not, for example, another? “There’s a destructive urge in people, the urge to rage, murder, and kill,” Anne wrote on May 3, 1944, pondering the spread of guilt. These are words that do not soften, ameliorate, or give the lie to the pervasive horror of her time. Nor do they pull the wool over the eyes of history.
On November 9-10, 1938, the attacks on the Jews became violent. Hershel Grynszpan, a 17-year-old Jewish boy distraught at the deportation of his family, shot Ernst vom Rath, the third secretary in the German Embassy in Paris, who died on November 9. Nazi hooligans used this assassination as the pretext for instigating a night of destruction that is now known as Kristallnacht (the night of broken glass). They looted and destroyed Jewish homes and businesses and burned synagogues. Many Jews were beaten and killed; 30,000 Jews were arrested and sent to concentration camps.

Browning wrestles with these and many other related questions in a consistently persuasive and cogent way. He concludes, very sensibly, that it is inconceivable that the Holocaust, unprecedented in history and entailing a massive, counterproductive diversion of resources in wartime, could have taken place without Hitler’s immediate knowledge and approval, although his orders were often, as Browning notes, “vague and inexplicit.” Moreover, Hitler himself was the chief Nazi ideologue of rabid, demented, racialist anti-Semitism, with anti-Semitism at the very center of his worldview and in and of itself a central motivating factor in his foreign and military policies.
Auschwitz is the most famous because there the killing machine was the most efficient. There, between the end of 1941 and 1944, as many as 12,000 Jews a day could be gassed to death and cremated. In addition to the Jews, hundreds of thousands of others deemed threats to the Nazi regime or considered racially inferior or socially deviant were also murdered.
Hilberg, Raul (1985). The Destruction of the European Jews: The Revised and Definitive Edition. New York: Holmes and Meier. ISBN 0-8419-0832-X – via search inside. The deportations ... were the work of a much larger apparatus that had to deal with a host of constraints and requirements. The effort, as we shall see, was deemed necessary to accomplish the Final Solution on a European-wide scale.[p.273] 
Defined by the religion of their grandparents rather than by their own beliefs, Jews were viewed as having impure blood lines. The new laws were taught in schools, cementing anti-Semitism in German culture. Most Germans kept quiet, often benefiting when Jews lost jobs and businesses. Persecution of other minorities also escalated: the police were given new powers to arrest homosexuals and compulsory abortions were administered to women considered to be ‘hereditarily ill’.
After the June 1941 German invasion of the Soviet Union, SS and police units (acting as mobile killing units) began massive killing operations aimed at entire Jewish communities. By autumn 1941, the SS and police introduced mobile gas vans. These paneled trucks had exhaust pipes reconfigured to pump poisonous carbon monoxide gas into sealed spaces, killing those locked within. They were designed to complement ongoing shooting operations.
The ghettos, and the slow death they brought, were only part of the overall plan. In the months following the Wannsee Conference, three specialized killing centers, Belzec, Treblinka and Sobibor, were constructed in southeast Poland, featuring large gas chambers with adjacent crematories or burial pits for the disposal of corpses. After they became operational, the ghettos were bypassed and Jews went directly by train to the new death camps.
On 6 January 1942, the Soviet Minister of Foreign Affairs, Vyacheslav Molotov, sent out diplomatic notes about German atrocities. The notes were based on reports about bodies surfacing from poorly covered graves in pits and quarries, as well as mass graves found in areas the Red Army had liberated, and on witness reports from German-occupied areas.[335] The following month, Szlama Ber Winer escaped from the Chełmno concentration camp in Poland, and passed detailed information about it to the Oneg Shabbat group in the Warsaw Ghetto. His report, known by his pseudonym as the Grojanowski Report, had reached London by June 1942.[288][336] Also in 1942, Jan Karski sent information to the Allies after being smuggled into the Warsaw Ghetto twice.[337][s] On 27 April 1942, Vyacheslav Molotov sent out another note about atrocities.[335] In late July or early August 1942, Polish leaders learned about the mass killings taking place inside Auschwitz. The Polish Interior Ministry prepared a report, Sprawozdanie 6/42,[340] which said at the end:
The Final Solution was a plan of Adolf Hitler's to kill all the Jews in Europe. Hitler's Anti- Semitic ideas were so strong that he released hatred by mass murder. Before Hitler decided to become dictator the Final Solution was already in his head. In a couple of books written by Gerald Fleming Hitler says '' Once I  am really in power my first task will be the genocide of the Jews .'' He achieved his goal by killing six million Jews. Hitler began  the final solution in every European Nation he was  control of. The Jews were sent to concentration/death camps.
Amir told me that Zeidel made several pilgrimages back to Ponar. And yet he was never able to locate the passageway that carried him to freedom. What Zeidel didn’t know was that three years before he died, a Lithuanian archaeologist named Vytautas Urbanavicius had quietly excavated what turned out to be the tunnel’s entrance. But after taking a few photographs and a notebook’s worth of measurements, he sealed up the hole with fresh mortar and stone without pressing any farther or prominently marking the area.
Mengele's research subjects were better fed and housed than the other prisoners, and temporarily spared from execution in the gas chambers.[42] He established a kindergarten for children who were the subjects of his experiments, as well as the preschool children from the Romani camp. The facility provided better food and living conditions than other areas of the camp, and included a children's playground.[43] When visiting his young subjects, he introduced himself as "Uncle Mengele" and offered them sweets,[44] while at the same time being personally responsible for the deaths of an unknown number of victims whom he killed via lethal injection, shootings, beatings, and his deadly experiments.[45] In his 1986 book, Lifton describes Mengele as sadistic, lacking empathy, and extremely antisemitic, believing the Jews should be eliminated entirely as an inferior and dangerous race.[46] Rolf Mengele later claimed that his father had shown no remorse for his wartime activities.[47]