In the question, we are asked which of the listed countries did not participate in the Football World Cup 2006. This particular event was held in Germany. The teams playing in such events are determined through extensive qualification tournaments leading up to the World Cup.

Starting with option 1, the given answer, Russia, did not qualify for the World Cup in 2006, meaning it is the correct response.

Option 2, Togo, may seem unexpected as it’s not often considered a soccer powerhouse, but it did participate in the Football World Cup 2006. It was the first time Togo had qualified for the World Cup.

Similarly, Option 3, Ivory Coast, and Option 4, Switzerland, might be surprising, but both teams qualified and competed in the event.

That means Russia is the only listed country that did not participate in the Football World Cup 2006.