  M.Newman has asked if it is the case that whenever H and K are isomorphic
subgroups of a finite solvable group G with H maximal, then K is also maximal.
This question was considered in a paper of I.M. Isaacs and the second author,
where (among other things) the answer was shown to be affirmative if H has an
Abelian Sylow 2-subgroup. Here, we show that the answer is affirmative unless
the index of H is a power of a prime less than 5 and we obtain further
restrictions on the structure of a purported minimal counterexample.
