Germany will of course have known the math: A win was all that was required to ensure passage to the round of 16 of the Women’s World Cup. But Canada had known the math, too, and went out anyway. So did Brazil and New Zealand and Portugal, all gone for the want of a single precious goal that never came.
Yet a World Cup that has had some improbable moments — Jamaica eliminating Brazil, the U.S. team advancing thanks to a single, favorable bounce — got perhaps its biggest stunner so far on Thursday: Germany, the second-ranked team in the world, is out after the strangest finish to the group stage in its history, two games requiring only one win, and in which they got none.