There has been a great deal of controversy in the UK regarding the wearing of an armband by Prince Harry that had a “swastika” badge on it.
This created a predictable uproar in the local media with many people being reminded of the grim horrors of the Holocaust (the Prince was wearing a replica Nazi uniform).
Along with the reaction, there were calls for the symbol to be banned (on the grounds of being racially offensive).
Thankfully, the Hindu Forum of Great Britain got into the act (see, “HFB launches national campaign to reclaim swastika”) and decided to start a campaign to create awareness amongst the general public about how an ancient Hindu symbol had been misappropriated by the Nazis.
Ever since the Nazi Party adopted the swastika, many countries have banned public display of it. Including:
Hungary, it is a criminal misdemeanour to publicly display "totalitarian symbols", including the swastika, the SS insignia and the Arrow Cross, punishable by fine. Display for academic, educational, artistic or journalistic reasons is allowed. Also the communist symbols of hammer and sickle and the red star are also regarded as a totalitarian symbols and have the same restriction by Hungarian criminal law.
In Poland, public display of Nazi symbols, including the Nazi swastika, is a criminal offence punishable by up to eight years in jail.
Germany, there are little to no exception on publicly displaying the swastika and is punishable by, no more than 3 years in prison. The swastikas on Hindu and Jain temples are exempt, as religious symbols cannot be banned.
Asia, as I said above religious symbols cannot be banned. Today there are many religious uses of the swastika in many asian countries.
Brazil, in Brazil the use of, or distribution of any Nazi symbol or swastika is punishable by a two to five years prison term and a fine
The other point is that the very mention of Nazis seems to bring out the worst in people. Bands/careers have been ruined based on this accusatory slur or the perception you may find anything remotely attractive about it.
Let's be clear currently it's not illegal in UK but definitively frond upon.