Editing Frénicle standard form (section)

==Generalizations==
[[File:2009.10.23 quaternion square 01.png|thumb|right|384]]
For each collection of magic squares one might identify the corresponding group of [[automorphism]]s, the group of transformations preserving the special properties of this collection of magic squares. This way one can identify the number of different magic square [[equivalence class|equivalence classes]].

From the perspective of [[Galois theory]], the [[most-perfect magic square]]s (enumerated in {{OEIS2C|A051235}}) are not distinguishable since the size of the associated [[Galois group]] is 1.