Components of eleven-dimensional supergravity with four off-shell supersymmetries

We derive the component structure of 11D, $N=1/8$ supergravity linearized around eleven-dimensional Minkowski space. This theory represents 4 local supersymmetries closing onto 11 spacetime translations without use equations motion. It may be interpreted as adding $201$ auxiliary bosons and $56$ fermions to physical multiplet for a total $376+376$ components. These components their transformations are organized into representations $SL(2;\mathbf C)\times G_2$.