  Working to lowest non-trivial order in fermions, we consider the
four-derivative order corrected Lagrangian and supersymmetry transformations of
the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric
invariance of the Lagrangian we determine all numerical coefficients in the
system. In addition, the supersymmetry algebra is shown to close on the scalar
and gauge fields. We also comment on the extension to Lorentzian and other
non-Euclidean $\mathcal{N}=8$ 3-algebra theories.
