Some of the dates may be a little different but you can tell who will have the same class based on the class number. October 1st starts the fiscal year for the military so the first class of the year (01) will start in the beginning of October. Looks like they have about 2 classes a month-ish. The second class of the month and year starts later in October.
My class report date is 08 OCT (Class 01) but I'm trying to move it left a month or two.