So organized it’s chaos: A German election primer.

It has been said that Germans are sometimes so organized that chaos reigns. Germany’s election system is no exception. It is so complex that even many Germans don’t understand it.

Here’s a brief primer.

Are voters choosing a chancellor today?

Not exactly. Unlike in the United States, voters don’t directly elect their head of government. Rather, they vote for representatives in Parliament, who will choose the next chancellor, but only after forming a government. More on that later.

The major parties declare who they would choose for chancellor, so Germans going to the polls today know who they are in effect voting for. This year the candidates most likely to become chancellor are Olaf Scholz of the Social Democrats or Armin Laschet of the Christian Democrats. Annalena Baerbock, a Green, has an outside chance.

Who can vote?

Any German citizen 18 or over. They don’t need to register beforehand.

How are seats in Parliament allocated?

Everyone going to the polls today has two votes. The first vote is for a candidate to be the district’s local representative. The second vote is for a party. Voters can split their votes among parties and often do. For example, a person could cast one vote for a Social Democrat as the local member of Parliament, and a second vote for the Christian Democrats as a party.

Parliament has 598 members, but could wind up with many more because of a quirk in the system. The top vote-getter in every district automatically gets a seat in Parliament. These candidates account for half of the members of Parliament. The remaining seats are allocated according to how many second votes each party receives.

But parties may be allocated additional seats according to a formula designed to ensure that every faction in Parliament has a delegation that accurately reflects its national support. So Parliament could easily wind up with 700 members.

Also: A party that polls less than 5 percent doesn’t get any seats at all.

What happens next?

It is very unlikely that any party will wind up with a majority in Parliament. The party that gets the most votes must then try to form a government by agreeing to a coalition with other parties. That has become mathematically more difficult because of the rise of the far-right Alternative for Germany party and the far-left Linke party.

The mainstream parties have ruled out coalitions with either of those parties because of their extreme positions. But it will be a struggle for the remaining parties to find enough common ground to cobble together a majority. The process could take months.