Can't log into admin using SSL in a subdomain in got an error when entering the URL

[icecold]

This is the error I got.

Not Found

The requested URL /AdminNW/login.php was not found on this server.

Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.

Please note for testing purposes, I renamed the admin directory to something else that won't be the final name I will use when live.

The subdomain

http://itandelectronics.theoutletseason.com

works fine but if I use https:// it just goes to the main domain that is

https://theoutletseason.com

instead.

I know this is some type of misconfiguration, but I need some ideas to find out what can I change or what I have to tell my host provider, to fix this problem.

Please note this is a FRESH install, so it's a vanilla ZC v1.5, I got no problems during the installation. This is the first time I try a subdomain, I already have a working 1.3.8a store under my signature. This will be another ZC store under a subdomain.