The details from the text that support the claim that this passage is an allegory for the Great Purge are:
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The false confessions extracted from the four pigs - This reflects the forced confessions and public admissions of guilt that were common during Stalin's Great Purge, where individuals were compelled to falsely confess to crimes they did not commit.
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The slaughter of the pigs by the dogs at Napoleon's order - This symbolizes the violent elimination of perceived enemies and dissenters during the Great Purge, where many of Stalin's political opponents were executed or disappeared.