We investigate how the different types of supernovae are relatively affected by the metallicity of their host galaxy . We match the SAI supernova catalog to the SDSS-DR4 catalog of star-forming galaxies with measured metallicities . These supernova host galaxies span a range of oxygen abundance from { 12 + \log { ( O / H ) } } = 7.9 to 9.3 ( \sim 0.1 to 2.7 solar ) and a range in absolute magnitude from M _ { B } = -15.2 to -22.2 . To reduce the various observational biases , we select a subsample of well-characterized supernovae in the redshift range from 0.01 to 0.04 , which leaves us with 58 SN II , 19 Ib/c , and 38 Ia . We find strong evidence that SN Ib/c are occurring in higher-metallicity host galaxies than SN II , while we see no effect for SN Ia relative to SN II . We note some extreme and interesting supernova-host pairs , including the metal-poor ( \sim 1 / 4 solar ) host of the recent SN Ia 2007bk , where the supernova was found well outside of this dwarf galaxy . To extend the luminosity range of supernova hosts to even fainter galaxies , we also match all the supernovae with z < 0.3 to the SDSS-DR6 sky images , resulting in 1225 matches . This allows us to identify some even more extreme cases , such as the recent SN Ic 2007bg , where the likely host of this hypernova-like event has an absolute magnitude M _ { B } \sim - 12 , making it one of the least-luminous supernova hosts ever observed . This low-luminosity host is certain to be very metal poor ( \sim 1 / 20 solar ) , and therefore this supernova is an excellent candidate for association with an off-axis GRB . The two catalogs that we have constructed are available online and will be updated regularly . Finally , we discuss various implications of our findings for understanding supernova progenitors and their host galaxies .