Assuming you meant that when the headphones are plugged in, there is no sound coming from headphones nor from speaker, … I’ll proceed with some comments … …
I note from the diagnostic script that your PC is a Dell 1745 running a 64-bit openSSUE-11.4 with the 18.104.22.168-0.5-desktop kernel, and version 1.0.23 (driver), 22.214.171.124 (library) and 126.96.36.199 (utilities) of alsa. The Dell’s hardware audio codec is a IDT 92HD73C1X5.
Your speakers and headphones should ‘just work’. If they do not and if the mixer is set ok (which it appears to be) then this could be an incorrect automatic configuration of the alsa sound driver upon boot. In which case you could force a boot configuration and see if that helps.
The options for the STAC92HD73* is the following from the HD-Audio-Models.txt file alsa documentation that is on your PC (and on all openSUSE installs):
ref Reference board
no-jd BIOS setup but without jack-detection
intel Intel DG45* mobos
dell-m6-amic Dell desktops/laptops with analog mics
dell-m6-dmic Dell desktops/laptops with digital mics
dell-m6 Dell desktops/laptops with both type of mics
dell-eq Dell desktops/laptops
alienware Alienware M17x
auto BIOS setup (default)
So you could try forcing each of those model options, one at a time, restarting the sound driver, and testing, until you find one that works.
You can do that as follows. Lets say you wish to start by trying the model option “dell-m6”. You can do that by adding a line to the start of the /etc/modprobe.d/50-sound.conf file so that it looks like:
options snd-hda-intel model=dell-m6
options snd slots=snd-hda-intel
# u1Nb.Nz15uUWYSoD:82801I (ICH9 Family) HD Audio Controller
alias snd-card-0 snd-hda-intel
then restart your alsa sound driver with the command:
su -c 'rcalsasound restart'
and enter root password when prompted, if using KDE don’t keep any old configurations from desktop audio, and restart your mixer (type ‘kmix’) and then test.
If ‘dell-m6’ does not work, replace that in the /etc/modprobe.d/50-sound.conf file line we added with another model option, and try again until each option is tested.