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Einsatzgruppe Extermination Squads (ABCD)
Einsatzkommandos, by order of the Führer
Since February 19, 2008
Germany 
Einsatzgruppen (German for "task forces" or "intervention groups") were paramilitary groups formed by Heinrich Himmler and operated by the SS before and during World War II. The Einsatzgruppen typically followed close behind Wehrmacht army formations, marching into cities and towns where large numbers of Jews were known to live. Once they entered a town, they issued orders requiring Jews and non-Jewish communists to assemble for deportation out of town. Those who refused to comply were hunted down ruthlessly. The process was as follows: The Einsatzgruppen's Sonderkommando units (not to be confused with Jewish gravediggers in the camps) were sent with the advancing military units to coordinate the executions, to concentrate the "hostile" population, and to recruit local assistants (Mannschaft, either "Junaks" (Lithuanian former convicts) or Gendarmes (Ukrainian policemen); then came the Einsatzkommando to execute the Jews and communists. The killings followed several methods and patterns:
In conquered urban areas of eastern Europe, many Jews would be killed in nearby locations such as woods or inside buildings. The remaining Jews would be confined to ghettos. Death rates from disease and malnourishment were high; groups from the ghetto were periodically taken away and shot or deported to extermination camps. An example of this is the Lithuanian city of Kaunas; the Jews of Kaunas were concentrated in a ghetto and sent, thousands at a time, to be slaughtered in the 7th and 9th forts (watch towers) of Kaunas.
In small rural areas, or in battle zones, the Jews were quickly led to their deaths in nearby woods and mass graves, which were often dug by the victims. An example of such a case is the town of Dovno in Ukraine.
In big cities, mainly in the battle zones, the Nazis would create a small local committee of 8 to 12 important Jews, known as the Judenrat, who would be required to summon the local Jews for "relocation". The Jews (including the Judenrat delegates) would then be marched to previously prepared trenches or natural pits and shot. Examples are the massacre at Babi Yar and Ponary massacre.
Alternatives to execution by firearms existed. The gas trucks used by Einsatzgruppe D and Einsatzkommando Kulmhof in the death camp Chelmno are an example. Another, occasionally used in smaller towns, was to lock the Jews in abandoned buildings, which were then set alight or blown up but it was rather rare.
Those who were gathered would then be sent to designated sites outside the cities and towns. Usually these massacre sites were graves dug in advance, shallow pits, or deep ravines (including one at Babi Yar, just outside Kiev), where executioners were already waiting with orders to kill them with machine guns or pistol shots to the head. The killers would also seize the clothing and other belongings of the victims, and some victims were forced to strip naked just before their execution. Once dead, the victims would be buried with hand shovels or bulldozers. Some victims were only injured, not killed, and were buried alive. A few managed to climb out of the grave and recount this. (Martin Gilbert, The Holocaust)
The Einsatzgruppen were assisted by other Axis forces, including designated members of the Wehrmacht and the Waffen SS. In the Baltics and Ukraine, they also recruited local collaborators - hiwis to assist in the killing.
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