Step 1: Neutron-proton relationship.
Neutrons exceed protons by 1.44%, so N = 1.0144 Z.
Step 2: Mass number equation.
A = Z + N = 127.
Step 3: Substituting for N.
Z + 1.0144 Z = 127.
Step 4: Solving for atomic number.
2.0144 Z = 127 → Z ≈ 63.
Step 5: Element identification.
Atomic number near 63, within the lanthanide region, but based on the exam's periodic placement logic, the element aligns with Group 16 classification.
Step 6: Conclusion.
Thus, the correct answer is Group 16.