  We report absolute frequency measurements of 81 hyperfine components of the
rovibrational transitions of molecular iodine at 578 nm using the second
harmonic generation of an 1156-nm external-cavity diode laser and a fiber-based
optical frequency comb. The relative uncertainties of the measured absolute
frequencies are typically $1.4\times10^{-11}$. Accurate hyperfine constants of
four rovibrational transitions are obtained by fitting the measured hyperfine
splittings to a four-term effective Hamiltonian including the electric
quadrupole, spin-rotation, tensor spin-spin, and scalar spin-spin interactions.
The observed transitions can be good frequency references at 578 nm, and are
especially useful for research using atomic ytterbium since the transitions are
close to the $^{1}S_{0}-^{3}P_{0}$ clock transition of ytterbium.
