A - topsoil Horizon. This should have a modifier, but for some reason doesn't

E - Eluviated horizon - means stuff washed out

Bhs - subsoil with accumulated organic and sesquioxides (Fe and Al oxides)

Bs - subsoil with more sesquioxides

Bw - subsoil - minimal soil development

Normally there is a C horizon, which indicates parent geological material, but I don't know why they didn't call it here.