I am almost positive this short story appeared in either Galaxy, IF, or Worlds of Tomorrow in the 1960s. The MC is an alien with three(?) legs and a bell-like head with a circle of eyes around a mouth in the top of its head. The creature is disgusting - it lives in its own filth and eats its own young. One of the eyes at the top of its head is infected and rotting, so it crushes the eye directly across to even it out. Meeting a human explorer, it invites him back to its sewer of a home, where it already has a number of guests of its own species. Being the host, it offers its young to its guests as treats. The shocked human tries to stop this. The guests are so offended that they eat the MC alive. The strangest SF story I ever read.
The story did not appear in Analog; - there is no way a story as gross as this one would be published there in the '60s (unless my memory of when I read it is completely off). I think there was an illustration, which leaves out F&SF, which didn't have interior illustrations at the time. Publications could include Amazing and Fantastic, but my father - who bought these magazines - preferred Galaxy and If.