LyX says I don't have foiltex.
I use teTeX 1.0, which has:
/usr/share/texmf/tex/latex/foiltex
/usr/share/texmf/tex/latex/foiltex/fltfonts.def
/usr/share/texmf/tex/latex/foiltex/foil17.clo
/usr/share/texmf/tex/latex/foiltex/foil20.clo
/usr/share/texmf/tex/latex/foiltex/foil25.clo
/usr/share/texmf/tex/latex/foiltex/foil30.clo
/usr/share/texmf/tex/latex/foiltex/foils.cls
/usr/share/texmf/tex/latex/foiltex/foils.sty
/usr/share/texmf/tex/latex/foiltex/foilshrt.clo
/usr/share/texmf/doc/latex/foiltex
/usr/share/texmf/doc/latex/foiltex/foiltex.dvi
/usr/share/texmf/doc/latex/foiltex/sampfoil.tex
--
-lsm