As a former distributor for PICO MACOM, and heavy user of Quad, Tri Shield, and Dual RG-6 (foil/braid) cable during the 1980 to 2010 period, I remember specific sizes for each cable.
F56-324 was for dual RG-6 (typically braid and a layer of foil)
F56-342 was for Quad RG-6 (two layers of braid...