Design pattern for child calling method in parent

I am currently working on my biggest project and I am having trouble figuring out how to structure my code. I'm looking for some guidance.

I have 2 objects a Tile and Container. Each Tile has a 2D coordinate and are all children of the Container. The Container has methods that return tile for location, switch tiles, add tiles, and remove tiles.

Now when you click on a tile it disappears, that was easy because it was self contained. The problem comes when I created different types of tiles that inherit from the base Tile. Each different type of tile does a different action when you click on it. Some destroy surrounding tiles some switch with other tiles and others add new tiles. For simplicity we will call these 3 subclasses Tile-destroy, Tile-swap, and Tile-add.

My problem is when I click on these tiles how can they act on other tiles in the Container. Should I just call functions in the parent class or is there a better way to do this? I am having trouble #including the Tile in the Container as well as the other way around. I feel like its not a proper pattern.

I have it set up so when a click takes place the Container handles it and checks the type of tile that is clicked and acts from there with a large else-if statement however this makes it very difficult to add new tile types. Ideally all the information for what happens when you click on a tile is contained within each tile subclass.

Any ideas?