Question: During which period Germany was governed by a dictatorship who's subordinate was the Lithuanian Territorial Defense Force?

Documents:
source: Nazi Germany
text: Nazi Germany Nazi Germany is the common English name for the period in German history from 1933 to 1945, when Germany was governed by a dictatorship under the control of Adolf Hitler and the Nazi Party (NSDAP). Under Hitler's rule, Germany was transformed into a totalitarian state in which the Nazi Party controlled nearly all aspects of life. The official name of the state was "Deutsches Reich" from 1933 to 1943 and "Großdeutsches Reich" ("Greater German Reich") from 1943 to 1945. The period is also known under the names the Third Reich (German: "Drittes Reich" ) and the National Socialist Period (German: "Zeit des Nationalsozialismus" , abbreviated as "NS-Zeit"). The Nazi regime came to an end after the Allied Powers defeated Germany in May 1945, ending World War II in Europe.

source: Lithuanian Territorial Defense Force
text: Lithuanian Territorial Defense Force The Lithuanian Territorial Defense Force or LTDF (Lithuanian: "Lietuvos vietinė rinktinė" , LVR, German: "Litauische Sonderverbände" ) was a short-lived, Lithuanian, volunteer armed force created and disbanded in 1944 during the German occupation of Lithuania. It was subordinate to the authorities of Nazi Germany. Its goal was to fight the approaching Red Army, provide security and conduct anti-partisan operations within the territory, claimed by Lithuanians (see also Nazi German occupation of Lithuania, Generalbezirk Litauen of Reichskommissariat Ostland). LTDF had some autonomy and was staffed by Lithuanian officers, their most notable commander being Lithuanian General Povilas Plechavičius. LTDF quickly reached the size of about 10,000 men. After brief engagements against the Soviet and Polish partisans (Armia Krajowa), the force self-disbanded, its leaders were arrested and sent to concentration camps, and numerous of its members were executed by the Nazis. Many others were either drafted into other Nazi auxiliary services, or started forming an armed anti-Soviet resistance, also known as Forest Brothers. The Union of Soldiers of the Lithuanian Territorial Defense Force (Lietuvos vietinės rinktinės karių sąjunga), a veterans organization, was founded in 1997.

source: Territorial Defense Forces (Poland)
text: Territorial Defense Forces (Poland) The Territorial Defense Forces (Polish: "Obrona Terytorium Kraju - OTK" ) was an armed force responsible for the internal security of Poland and separate from the Polish Army. The OTK existed from 1965 until 2008. As initially organized, OTK forces included both an "Internal Defense Army" and the "Border Defense Force". This style of internal security organization corresponded to that used by the Soviet Union during the same period. After the fall of communism in Poland, changed political priorities led to the reduction of OTK forces. By 1 July 2008, the last of its battalions were converted to mechanized units of the army.

source: Hawaii Territorial Guard
text: Hawaii Territorial Guard The Hawaii Territorial Guard was the state defense force of Hawaii during World War II. As a result of the National Guard of Hawaii being federalized for the duration of the war, the Hawaii Territorial Guard was created to serve as the stateside replacement for the National Guard. During the war, it was the sole military force available to the Governor of Hawaii to use in defense of the state. Unlike the National Guard, as a state defense force, the Hawaii Territorial Guard was not subject to federalization or deployment outside of the borders of Hawaii, but rather answered only to the governor.

source: Antanas Impulevičius
text: Antanas Impulevičius Antanas Impulevičius-Impulėnas (28 January 1907 – 4 December 1970) was an officer of the Lithuanian Army, reaching the rank of major in 1937, and later a Nazi collaborator. After the occupation of Lithuania by the Soviet Union, he was arrested by NKVD. He was freed during the Uprising of June 1941. Impulevičius joined the "Lithuanian Schutzmannschaft" and commanded the 12th Police Battalion. His unit was sent to Belarus where it participated in mass executions of the Jews, particularly in Minsk and Kletsk. He also joined the short-lived Lithuanian Territorial Defense Force. In 1944, he moved to Germany, in 1949 he relocated to the United States. In 1962, Supreme Court of the Lithuanian SSR sentenced him to death "in absentia". After the trial, United States dismissed Soviet request to extradite him.

source: Slovenian Territorial Defence
text: Slovenian Territorial Defence The Territorial Defense of the Republic of Slovenia (Slovenian: "Teritorialna obramba Republike Slovenije (TO RS)"), also known as the Territorial Defense of Slovenia (Slovenian: "Teritorialna obramba Slovenije (TOS)"), was the predecessor of the Slovenian Armed Forces. It was named after the Yugoslav Territorial Defense.

source: Utah State Defense Force
text: Utah State Defense Force The Utah State Defense Force (USDF), formerly known as the Utah State Guard, is the currently unorganized state defense force of the state of Utah. The USDF, along with the Utah National Guard, is part of the organized militia of Utah. However, unlike the National Guard, the State Defense Force is by law solely under the command of the Governor of Utah and cannot be federalized or deployed outside the borders of Utah. Although inactive, Utah's State Defense Force Act allows the Governor to reactivate the USDF through executive action.

source: Battle of Murowana Oszmianka
text: Battle of Murowana Oszmianka The Battle of Murowana Oszmianka of May 13–May 14, 1944 was the largest clash between the Polish resistance movement organization Home Army (Armia Krajowa, AK) and the Lithuanian Territorial Defense Force (LTDF); a Lithuanian volunteer security force subordinated to Nazi Germany occupational administration. The battle took place in and near the village of Murowana Oszmianka in Generalbezirk Litauen "Reichskommissariat Ostland" (modern Muravanaya Ashmyanka, Belarus, former Murowana Oszmianka, Second Polish Republic). The outcome of the battle was that the 301st LTDF battalion was routed and the entire force was disbanded by the Germans soon afterwards.

source: Massachusetts State Defense Force
text: Massachusetts State Defense Force The Massachusetts State Defense Force (MSDF) is the State Defense Force of the state of Massachusetts. The purpose of the Massachusetts State Defense Force is to augment the Massachusetts National Guard during emergencies in the state, especially when some or all of the National Guard is deployed. The MSDF is an all-volunteer state military force which reports directly to the State Adjutant General and is under the command of the Governor of Massachusetts. Like the National Guard, members have regular civilian careers and only meet for drills one weekend per month unless activated by the Governor during an emergency. The guard is headquartered at Milford, Massachusetts, in the same building as the National Guard. The director of the guard is appointed by The Adjutant General of Massachusetts (TAGMA). The Massachusetts State Defense Force is authorized by both the Constitution of Massachusetts and chapter 33 § 10 of the Massachusetts General Laws.

source: Wisconsin State Defense Force
text: Wisconsin State Defense Force The Wisconsin State Defense Force (WSDF) is the currently inactive state defense force of the State of Wisconsin authorized by Wisconsin law. As a state defense force, the Wisconsin State Defense Force, alongside the Wisconsin National Guard, is organized under the Wisconsin Department of Military Affairs as a part of the military forces of Wisconsin. However, unlike the National Guard, the State Defense Force is a purely state-controlled organization and cannot be deployed outside the state of Wisconsin. When any part of the Wisconsin National Guard is called into service of the United States, the adjutant general (who is appointed by the governor) may recruit volunteers to the WSDF to serve within the borders of Wisconsin.

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Answer: 1933 to 1945