We present a spectroscopic survey of the rich X-ray-selected galaxy cl
uster CL 1358+6245 at z = 0.328. When our 173 new multislit spectra of
cluster galaxies are combined with data from the literature, we produ
ce a catalog of 232 cluster members in a region 10' x 11' (3.5 Mpc x 3
.8 Mpc) surrounding the brightest cluster galaxy. These data are used
to study the structure and dynamics of the cluster and to examine the
radial and velocity distributions as a function of spectral type. We c
lassify the spectral types of the cluster members according to the str
engths of the Balmer absorption lines (H delta, H gamma, and H beta) a
nd the [O II] 3727 Angstrom emission line. We derive a mean redshift o
f z = 0.3283 +/- 0.0003 and a velocity dispersion of 1027(-45)(+51) km
s(-1) for the 232 cluster members. However, the cluster velocity dist
ribution is non-Gaussian, and we identify at least two subgroups with
10-20 members and dispersions of <400 km s(-1). The fraction of spectr
oscopically active galaxies (poststarburst and emission-line) in the c
ore of the velocity distribution (within 0.6 sigma of the mean cluster
velocity) is 16% +/- 4%, rising to 32% +/- 7% for galaxies in the tai
ls of the velocity distribution (2.0 sigma from the mean cluster veloc
ity). In total, the cluster is composed of 19% +/- 3% emission-line an
d 5% +/- 1% poststarburst galaxies. The velocity dispersion of the pos
tstarburst galaxies is close to 2(1/2) times that of the absorption-li
ne galaxies, consistent with free-fall accretion of the poststarburst
galaxies. The changing mix of galaxy spectral types as a function of l
ocal galaxy density (or distance from the cluster center) in CL 1358+6
2 is similar to what is observed in nearby rich clusters. The percenta
ge of emission-line galaxies increases steadily with radius from 9% +/
- 3% within a radius of r(p) < 0.7 Mpc to 41% +/- 9% in our outermost
radial bin at similar to 1.7 Mpc. The percentage of absorption-line ga
laxies falls from 84% +/- 9% to 59% +/- 11% over the same radial inter
vals. These results are consistent with the idea that the cluster grow
s through the accretion of late-type field galaxies, a fraction of whi
ch are transformed into poststarburst galaxies during the accretion ev
ent. Our high-S/N spectra of the ''E + A'' galaxies allow a detailed c
omparison with spectra of nearby merging and strongly interacting gala
xy systems. We find that nearby mergers have stronger [O II] 3727 Angs
trom emission ([O II] EW > 5 Angstrom) than that observed for our E A galaxies. This implies either that the E + A galaxies in CL 1358 + 6
2 were not formed through major mergers, or that if they were formed v
ia merging, their gas supply was quickly depleted, possibly by the int
racluster medium.