When I was a kid, I had an old version of Richard’s Bicycle Book, which has an excellent section on how to kill a dog. Suggestions include:
Jamming your pump down its throat
“Any small dog can simply be hoisted up by his legs and his brains dashed out”
Offer a pump or a stick for it to bite, and when it locks on: “Follow up with with breaking the dogs ribs or crushing its head with a rock.”
“If worst comes to worst, ram your entire arm down his throat. He will choke and die. Better your arm than your throat.”
Apparently later editions of the book had this advice edited out….