Background: Bernhard was born Bernhard Leopold Friedrich Eberhard Julius Kurt Karl Gottfried Peter, Count of Biesterfeld in Jena, Saxe-Weimar-Eisenach, German Empire on 29 June 1911, the elder son of Prince Bernhard of Lippe and his wife, Armgard von Cramm. He was a grandson of Ernest, Count of Lippe-Biesterfeld, who was regent of the Principality of Lippe until 1904. He was also a nephew of the principality's last sovereign Leopold IV, Prince of Lippe.
Context: Bernhard met then-Princess Juliana at the 1936 Winter Olympics at Garmisch-Partenkirchen. Juliana's mother, Queen Wilhelmina, had spent most of the 1930s looking for a suitable husband for Juliana. As a Protestant of royal rank (the Lippe-Biesterfelds were a sovereign house in the German Empire), Bernhard was acceptable for the devoutly religious Wilhelmina. Wilhelmina left nothing to chance, and had her lawyers draft a very detailed prenuptial agreement that specified exactly what Bernhard could and could not do. The couple's engagement was announced on 8 September 1936, and they were married at The Hague on 7 January 1937. Earlier, Bernhard had been granted Dutch citizenship, and changed the spelling of his names from German to Dutch. Previously styled as Serene Highness, he became a Royal Highness by Dutch Law. His appropriateness as consort of the future Queen would later become a matter of some public debate.  Prince Bernhard was father of six children, four of them with Queen Juliana. The eldest daughter is Princess Beatrix, former Queen of the Netherlands, (1938). His other daughters with Juliana are Irene (1939), Margriet (1943) and Christina (1947).  He had two illegitimate daughters. The first is Alicia von Bielefeld (born 21 June 1952), whose mother has not been identified. She is a landscape architect and lives in the United States. Prince Bernhard's sixth daughter, Alexia Grinda (a.k.a. Alexia Lejeune or Alexia Grinda-Lejeune, born in Paris on 10 July 1967), is his child by the French socialite and fashion model Helene Grinda. Although rumours about these two children had already spread, it was made official after his death. In December 2008, Dutch historian Cees Fasseur claimed that former British Conservative Cabinet Minister Jonathan Aitken was the result of a wartime affair between Prince Bernhard and Aitken's mother, previously Penelope Maffey.
Question: Did either him or Juliana have children outside of the marriage?

Answer:
He had two illegitimate daughters.