Breaking automatic beams

[Jeff]

One part of my composition looks like this, but the \nobeam function causes an
error when the code is compiled. I want the {quarter note + eight note} triplet
beam to be separated from the following {quarter note + quarter note + quarter
note} triplet, BUT I still want a tie between the last eight note of the first
triplet and the first eighth note of the second triplet. Is there a way to do
this without making these two triplets into a sextuplet?

\relative{
 \time 3/4
 \clef treble
 \key c \major
r2.
\times 2/3 {g''4 e8~} e2
\times 2/3 {g4 e8~} 
\times 2/3 {e8 d8 e8} \nobeam
e4 f2.~ f2.~ f2.\fermata
}

Thanks,
Jeff