Green’s Dictionary of Slang

dopey n.2

[ety. unknown; ? link to SE didapper/dydapper (see prev.)]

the buttocks, the rump.

[UK]Barrère & Leland Dict. of Sl., Jargon and Cant.
[UK]Farmer & Henley Sl. and Its Analogues II 309/2: Dopey the podex (old).
[UK]Partridge DSUE (1984) 332/1: C.18.