2g a day can be given by IM
but - they give it in 4 injections each of 2ml infusions and use 1% lidocaine in the infusions to manage the discomfort.
paper said...
i.m. injections were well tolerated. We believe two factors
are responsible for this favorable result. The importance of
reconstituting ceftriaxone with 1% lidocaine for use in i.m.
injections needs to be emphasized. This ploy allowed for
comfortable administration, which was accepted even by initially skeptical patients.
In addition, 2 ml was the maximum volume administered. Although this required two and
four injections, respectively, for the 1- and 2-g doses, we
believe this approach minimizes discomfort. In this experience, local pain or symptoms after i.m. injection was a rare occurrence.
.
source
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC175886/pdf/aac00088-0169.pdf