Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Worship of Bacchus
The effect was only too rapidly and fearfully apparent. A few years later (568) rites of the most abominable character came to the knowledge of the Roman authorities; a secret nocturnal festival in honour of the god Bacchus had been first introduced into Etruria through a Greek priest, and, spreading like a cancer, had rapidly reached Rome and propagated itself over all Italy, everywhere corrupting families and giving rise to the most heinous crimes, unparalleled unchastity, falsifying of testaments, and murdering by poison.
More than 7000 men were sentenced to punishment, most of them to death, on this account, and rigorous enactments were issued as to the future; yet they did not succeed in repressing the ongoings, and six years later (574) the magistrate to whom the matter fell complained that 3000 men more had been condemned and still there appeared no end of the evil.
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Reference address : http://www.ellopos.net/elpenor/rome/3-13-faith-manners.asp?pg=20