It is the first time since 1938 that Germany have failed to progress beyond the first stage of the tournament and national newspaper Bild led the fierce criticism, topping its on the whistle report with the line: "This is the biggest disgrace in German World Cup history!"
Two stoppage-time goals from Kim Young-gwon and Son Heung-min in Kazan proved just that.
Mexico have six points and one foot in the knockout rounds, with Germany and the Swedes both on three points and with the same goal difference and having scored the same number.
"I can't believe it, my pulse was 180 the whole game, but they deserved to lose", she said. Meanwhile, in their last Group-F match on Wednesday at the Yekaterinburg Arena in Russia, Sweden defeated Mexico by three goals to nil. "I'm incredibly disappointed by this elimination". I really had the feeling that the team, they really wanted to go forward. It happened to other nations before. After a barren first half, Augustinsson of Sweden put his team ahead by a left-footer in the 50th minute of the play.
That was the problem, for Germany.
Chancellor Angela Merkel's spokesman Steffen Seibert took the stiff-upper-lip approach, tweeting after the loss "Not our World Cup - that is sad!"
Germany made a nervous start, playing slower than it usually does to avoid being vulnerable on the break.
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That's when South Korea stepped up.
Soon after, Son connected with a cross from Lee Yong, but his powerful strike from inside the box went wide.
The journey back to Gelendzhik promises to be a lot more pleasant than their last one following the Germany defeat.
The Germans continued at the same pedestrian pace after halftime and Ozil had another poor display, with many of his passes uncompleted.
Gomez had a decent header stopped by Jo in the 68th minute and could not properly connect with a low cross from Kimmich in the 72nd as Germany's hopes vanished.
The Italians, who had beaten France on penalties to win their fourth World Cup, appeared to have little to fear when they were drawn in a group with Paraguay, New Zealand and Slovakia. A team featuring Pele, Garrincha and Jairzinho beat Bulgaria but 3-1 losses to Hungary and Portugal resulted in a first-round exit.
South Korea lost its opening two matches but still entered the game with a chance to advance.