I am currently associated with a SE site hinduism.stackexchange.com. This SE site is currently in Beta and I found that the favicon for the site is showing 'Hi', i.e., the first two letters from the word 'Hinduism'. This favicon doesn't match with the type of SE site. I had proposed a Hinduism religious symbol from within site's meta and although people too agreed but the moderator was not sure how to change that or whether they can change at all in case site is in beta. So, can anyone please let me know whether moderator can change favicon and what is the procedure for changing that. Also if there are any prerequisites, eg height/width of the image, type (jpg, ico, png, bmp, etc) then please let us know that as well.
The correct way to do this is to create a meta post (on Hinduism Meta, not the main meta) with the tag feature-request. Stack Exchange employees monitor that tag across all meta sites in the network. You should get an answer from them in due course, though it may take six to eight weeks before you get an answer, and then another arbitrary amount of time before anything is actually done.