Lookup and Pull Results into new Sheet

I am having some difficulties and was hoping someone may be able to help.
What I am trying to find a function that will scan down a column to find a particular criteria. I would like all the cells that meet this criteria to have their entire row pulled through to a new sheet.
For Example, In the attached spreadsheet, I would like everyone in sheet 1 to have their details pulled through to sheet 2 if they are in class 1, sheet 3 if they are in class 2, and sheet 4 if they are in class 3.

Thanks

The trick to non-array and "realtime" transfers like this is a truly sequential and unique ID for each row of data. I've added a "transfer key" to your original sheet. If you wish, it can be hidden.

Then simple INDEX/MATCH formulas on each sheet bring over the matching data for each sequence of numbers.

Class 1 uses 1-1,1-2,1-3, etc.
Class 2 uses 2-1,2-2,2-3, etc.
Clase 3 uses 3-1,3-2,3-3, etc.