Hain said the records showed all the account numbers.
"Many of the transactions are legitimate, but many certainly are not," he said.
Hain said the illicit transactions were flagged internally by the bank as suspicious.
"But I am informed that they were told from the UK headquarters to ignore it. That is an iniquitous breach of FCA [Financial Conduct Authority] practice, which I trust ministers would never countenance, and is an incitement to money laundering, which has self-
evidently occurred in this case, and also been sanctioned by a British bank, as part of the flagrant robbery of South African taxpayers of many millions," he said.
Hain said each originating transaction started with one bank account and was then split into a number of accounts to conceal the origin.
"Undoubtedly hard questions will need to be asked of the facilitating banks because they have aided and abetted the Gupta money-laundering activities," he said.
Hain has asked that the implicated bank be investigated for criminal complicity.
The Times, which has access to the leaked Gupta business e-mails, has seen a report of cross-border transactions between numerous Gupta entities based in South Africa, Hong Kong, Dubai and the US.