  We present measurements of two types of cluster galaxy alignments based on a
volume limited and highly pure ($\ge$ 90%) sample of clusters from the GMBCG
catalog derived from SDSS DR7. We detect a clear BCG alignment (the alignment
of major axis of the BCG toward the distribution of cluster satellite
galaxies). We find that the BCG alignment signal becomes stronger as the
redshift and BCG absolute magnitude decrease, and becomes weaker as BCG stellar
mass decreases. No dependence of the BCG alignment on cluster richness is
found. We can detect a statistically significant ($\ge$ 3 sigma) satellite
alignment (the alignment of the major axes of the cluster satellite galaxies
toward the BCG) only when we use the isophotal fit position angles (PAs,
hereafter), and the satellite alignment depends on the apparent magnitudes
rather than the absolute magnitudes of the BCGs. This suggests the detected
satellite alignment based on isophotoal PAs from the SDSS pipeline is possibly
due to the contamination from the diffuse light of nearby BCGs. We caution that
this should not be simply interpreted as non-existence of the satellite
alignment, but rather that we cannot detect them with our current photometric
SDSS data. We perform our measurements on both SDSS $r$ band and $i$ band data,
but did not observe a passband dependence of the alignments.
