my 'domain' google search mia?

[AustrianOak]

I have been under some penalty since April 26th.. I would like to know if anyone else who has been attacked in any of the April, June, July or recent August "refreshes" have this:

Say my site is "www.domain.com", when I type in domain into google search my website is NO WHERE to be found. It is not a common word, yet a specific unique website name that should be #1 no? I have found testing this out on hundreds of random sites that ALWAYS their website gets listed as #1 in their domain name search.

Anyone?