Cross Download

Facebook page hosted by some group of facebook profiles or a single profile can host it. When you create facebook page, there should be a profile attached to that account to access full features. There is a feature of fb pages that you can show number of admin on your page sidebar. But some pages don’t show their admin.
So if you wish to see those Admins you can try this trick:

• Go to your messages tab and click “Other” or “Other Messages” on the sidebar.
• Here you will see updates from pages, look for the update from a page that you are looking to track admin.
• Now open an update and go to this update from your mobile device (only facebook mobile site).
• If you don’t use mobile device you can browse on your desktop browser too, replace ‘WWW’ with ‘M’ in address bar and hit Enter.
• When youll go to that update by facebook mobile site you will see a profile link in subject line of update, click this link and you will land to profile that is attached to facebook page or say admin of that page.

Note that You can only apply this trick if page sent you an update ever in past. Pages that didn’t send you any update yet, you cannot see admin of those pages.

Update#1 (16 April 2013)
First of all I would like to thank you all for your response.
You should notice this thing that Facebook updated their messaging system and this trick only works with the Facebook old messaging system.
So here I will clear that you cannot find out admin of Facebook page with existing system but you can get the admin of page if you have the old messages from facebook page.
You have to check your inbox section where you have to click "view other messages" link, now process is little bit changed.

• Follow all the instruction that is mentioned above but you will not see the admin in mobile site.
• Install the firebug here. Dont if you have already.
• Press F12, In firebug window click on element selector (i.e.  arrow on firebug option tab) 
• Now click on message text, you will see a div element which have this "data-sigil=message-text" attribute. 
• This div have data attribute which is named as data-store and you are done. This data have a property "author":100001xxxxxxxxx where this value is the author id mean page admin id. (i.e. 100001xxxxxxxxx).
• You can get details about the admin by putting this id in that url http://graph.facebook.com/idxxxx  (i.e. http://graph.facebook.com/100001xxxxxxxxx)

But unfortunately this trick will only work if you have message from Facebook page around the time of writing this post (around 2011).

Now Facebook dont share or store page admin data anywhere so it is almost impossible without social hacking to get the Facebook page admin, but here is another trick but not applicable to all Facebook pages.

• Look for the website of the facebook page. (If no website page have then it is useless).
• Go to website of page and look for the html source of page. (Press CTRL+U).
• Search for "<meta property=fb:admins..." The content value is the admin id of facebook page.
• If you dont get this fb:admin meta property then it mean site owner didn’t add this property so wait for the facebook admin to optimize his/her site for facebook.

Comment your queries.