airline service Guam to Brisbane Australia?

Can someone tell me which airlines fly (preferably non-stop) between
Guam and Brisbane, Australia? I note that COntinental Micronesia flies
guam to cairns only. I searched on ITA software and some other sites
but could not find any flights except one or two stop expensive ones
on the majors. Maybe there are some regional airlines that fly this
routing?

Thanks
Quark