To get list of available sound cards aplay program from "alsa-utils" package can be used:
aplay -L
If sound cards list is empty and sound card installed, looks like current user is not member of "audio" group.
If user is member og group audio and sound card not listed, looks like sound card driver is not loaded or even it can be broken.
To get list of connected PCI devices and get infofmation about loaded kernel drivers and modules lspci command from "pciutils" package can be used:
lspci -knn