Great War of the Rim Empires
From Tardis Wiki, the free Doctor Who reference
The Great War of the Rim Empires was a conflict in which the Daleks participated. During the war, the Daleks employed millions of aliens captured in their giant deep-freeze unit of Alyx Pol-13. (DWBIT: #39)
The date of their conquest of Alyx Pol-13 would suggest that the Great War took place after June of 2614. However, due to their time-active status, this may not be the case.