Despite internal rivalries, the AfD has become third-largest party after receiving 13 percent of the vote, making it a sizeable force of opposition to Merkel's immigration policy.
Ms Merkel's biggest challenge is to convince two parties into allying with her - the FDP and the Green party - who not only intensely dislike one another but are both cautious of losing credibility with their voters, Guardian said.
Four years ago, German Chancellor Angela Merkel was at the height of her political power: She had deftly handled the euro debt disaster, and her skills as crisis manager helped her win a convincing victory in the 2013 election.
The story of the election is the rise of Germany's right-wing, nationalist AfD party which enjoyed an historic surge in support, winning its first parliamentary seats.
A statement from the New York-based World Jewish Congress quoted its president, Ron Lauder, as saying, "It is abhorrent that the AfD party, a disgraceful reactionary movement which recalls the worst of Germany's past and should be outlawed, now has the ability within the German parliament to promote its vile platform".
Petry has said she aimed to make the AfD ready for government in 2021, and urged her party earlier this year to exclude members who expressed extremist views.
AfD co-leaders Alexander Gauland and Alice Weidel celebrate in Berlin on Sunday.
To provide a bit more data here, the Free Democratic Party (FDP) won 10.7% of the vote, The Left won 9.1%, and The Greens won 9%.
The U.S. dollar rose broadly on Monday, benefiting from elections in Germany and New Zealand that left unclear outcomes about the future of governance.
"We should expect a lot of ambiguity, even hypocrisy, when it comes to climate policy", Oliver Geden, a policy expert with the German Institute for worldwide and Security Affairs in Berlin, tells Nature.
She had distanced herself from other top AfD candidates before the election and was also criticised for not supporting Bjoern Hoecke, a senior party official she wanted to have expelled for denying that Adolf Hitler was evil and calling Berlin's Holocaust Memorial a "monument of shame". The party has been treated as a pariah by other groups and the mainstream media in Europe who routinely refer to it as far-right.
But the FDP and the Greens disagree on issues from energy to tax, Europe and migration, complicating the path to any deal on forming a so-called "Jamaica" coalition - a reference to the parties' respective colours: black, yellow and green.
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