The UK flag is NOT entirely1 symmetrical!
英国国旗并非完全对称的!
You can rotate the flag and it still will be the right way up but you cant invert2 it.
Look at the white diagonals and you will see why.
On the side next to the flagpole, , the thick white band is above the red band on both diagonals, the white band being part of the cross of St Andrew, the Scottish flag and the red band being part of the cross of St Patrick, the Irish flag.
The cross of St Andrew is above that of St Patrick at the hoist because the cross was added to the flag before St Patricks cross.
On the side that flutters free, the fly side, this is reversed, with the Irish flag being above the Scottish flag.