  We calculate the equivariant instanton Floer homology, in the sense of Miller
Eismeier, for the trivial $SO(3)$-bundle over the binary polyhedral spaces with
coefficients in a PID $R$ for which $2\in R$ is invertible. Along the way we
modify a part of the algebraic construction needed to define the equivariant
instanton Floer groups.
