The incident took place on October 11 at Raipur Kalan in Mohali, they said.
Three persons, who were identified as Makhan Singh, Dassa Singh and Harmeet Singh, were today arrested on the charge of cruelty to animal.
In this horrifying incident of cruelty to the animal, one of the eyeballs was left hanging out, police said.
Pardeep Singh, a local resident, complained that when he heard the dog's cries, he went out to see and found accused mercilessly beating the dog and gouging her eyes out.
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Harjot, who lives in the same area, said their was blood all over the dog's face. "I then took her to the Society for the Prevention of Cruelty to Animals in sector 38 in Chandigarh," he said.
Rakesh Sharma, the supervisor of the SPCA, said the dog has now turned completely blind, though it is fine now.
"We will now take care of her throughout her life," he said, adding the canine was also pregnant.
Veterinary doctor R S Bajwa, who initially treated the dog, said the canine has now no chance of getting its vision back in its lifetime.