The full partitioning and further hints
Alex Y
With Larry's correct assignment of the four letters called out in the original, we have:
Group 1: AEFHILMNORSX
Group 2: BCDGJKPQTUVWYZ
What is the basis for this split?
Hints so far:
1) This partition only makes sense to English speakers. (It doesn't mater whether you call "Z" "zee" or "zed". If there are other differences I am not aware of, this hint may refer to American English only.)
2) Larry was on the right track when he came up with a rule based on the sound of the letter as pronounced. Not exactly the solution, but in the neighborhood.
New hints:
1) There was a hint embedded in my reply to Larry about the missing "V".
2) I have not memorized the groups, but was able to quickly write them down based on the rule, as you would be able to do once you have the rule.