what is their national symbol?
The Flag of Wales incorporates the red dragon; other symbols are the daffodil and the leek.
Wales
The Flag of Wales incorporates the red dragon () of Prince Cadwalader along with the Tudor colours of green and white. It was used by Henry VII at the Battle of Bosworth in 1485, after which it was carried in state to St Paul's Cathedral. The red dragon was then included in the Tudor royal arms to signify their Welsh descent. It was officially recognised as the Welsh national flag in 1959. On its creation the Union Jack incorporated the flags of the kingdoms of Scotland, of Ireland and the Cross of St. George which then represented the Kingdom of England and Wales. ""Hen Wlad Fy Nhadau" ()" is the National Anthem of Wales, and is played at events such as football or rugby matches involving the Wales national team as well as the opening of the Senedd and other official occasions. ""God Save the Queen"", the national anthem of the United Kingdom, is sometimes played alongside "Hen Wlad fy Nhadau" during official events with a royal connection.

The daffodil and the leek are both symbols 
how many premier league titles does manchester city have UNANSWERABLE what type of leagues do they participate in? Premier League, Football League can you name any of their competitors in the second mentioned league? Many English clubs plus clubs from Wales like Cardiff City, Swansea City and Newport County. does the country from where these clubs emerge have any mythological beliefs? Yes, native Celtic mythology of the pre-Christian Britons was passed down orally by the "cynfeirdd" (the early poets).
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Wales [SEP] National symbols and anthem
The Flag of Wales incorporates the red dragon () of Prince Cadwalader along with the Tudor colours of green and white. It was used by Henry VII at the Battle of Bosworth in 1485, after which it was carried in state to St Paul's Cathedral. The red dragon was then included in the Tudor royal arms to signify their Welsh descent. It was officially recognised as the Welsh national flag in 1959. On its creation the Union Jack incorporated the flags of the kingdoms of Scotland, of Ireland and the Cross of St. George which then represented the Kingdom of England and Wales.