The difference between 2NF and 3NF is that 2NF does not permit any non-prime attribute to have a dependency on something which is a proper subset of a candidate key, while in 3NF a non-prime attribute may not depend on anything which is not a superkey
My confusion is that the original table in the example is, then, not in 2NF because the phone number depends on something (Group) that is not the whole key, or in fact, even part of the key. So it seems that you took a table from 1NF to 2NF which was then trivially in 3NF (in the sense that no extra work was required to get it into 3NF).
What I would like to see is a table that is in 2NF converted into 3NF.
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JimFive