Norway is not one of the 'Big Six' in men's international ice hockey.

In men's international ice hockey, the Big Six is a group comprising the six national teams that have dominated play throughout the history of international ice hockey, especially since the 1950s. It is composed of the North American countries of Canada and the United States and four European countries: the Czech Republic, Finland, Russia, and Sweden. During the Cold War and for two years afterwards, the Soviet Union/CIS and Czechoslovakia held the places of Russia and the Czech Republic, respectively, within the group. The four European members are sometimes referred to as the "European Big Four" or "Big Four", especially to distinguish them from the North American teams.

Out of the 207 Ice Hockey World Championships medals awarded by the International Ice Hockey Federation (IIHF), only 21 have been won by teams outside the Big Six, and only six of those have been won since 1953 (four by Slovakia, two by Switzerland). Of the 72 Olympic ice hockey medals awarded, only seven have not been won by a Big Six team. The Big Six finished in the top eight every year since 2011, ensuring that only two out of the remaining 10 teams make it to the knockout round.

More Info: en.wikipedia.org