  Gamma-ray emitting solar flares observed with Yohkoh were analyzed from a
statistical viewpoint. The four-band hard X-ray (15--95 keV) photometric data,
taken with the Hard X-ray Telescope onboard Yohkoh, were utilized in
combination with the spectro-photometric gamma-ray (0.2--30 MeV) data obtained
with the Gamma-Ray Spectrometer. The GOES class was also incorporated. Out of
2788 X-ray flares observed from 1991 October to 2001 December, 178 events with
strong hard X-ray emission were selected. Among them, 40 flares were further
found to show significant gamma-ray emission. A fractal dimension analysis and
multi-band color--color plots of the 40 flares suggest that their soft X-ray to
MeV gamma-ray spectral energy distributions involve at least four independent
parameters. These are: (1) the overall flare size; (2) the relative intensities
of the thermal vs. non-thermal signals; (3) the gamma-ray to hard X-ray
intensity ratio; and (4) the hard X-ray spectral slope. These results are
examined for possible selection effects. Also, the meanings of the third
parameter are briefly considered.
