Poisson GLMM without offset

[AGG5]

I’m estimating a Poisson Generalized Linear Mixed Model with log as link function but without defining any variable as an offset (PROC GLIMMIX). So, I’m wondering if the coefficients that I get are in terms of counts (mean) or they represent a rate. Does anybody know? Thanks!

[sld]

The coefficients are for counts on the link (here, log) scale.