(abridged) We use observations of interstellar absorption features, such as atomic and molecular lines as well as diffuse interstellar bands (DIBs), towards SN2008fp to study the physical properties of extra-galactic diffuse interstellar clouds in the host galaxy, ESO428-G14. The properties of the intervening dust are investigated via spectropolarimetry. The spectra of SN2008fp reveal a complex of diffuse atomic clouds at radial velocities in line with the systematic velocities of the host galaxy (~1700 km/s). A translucent (A_V ~ 1.5 mag) cloud is detected at a heliocentric velocity of 1770 km/s This cold dense cloud is rich in dense atomic gas tracers, molecules, as well as diffuse interstellar bands. We have detected both C2 and C3 for the first time in a galaxy beyond the Local Group. The CN (0,0) band line ratios are used to derive an in-situ measurement of the cosmic background radiation temperature in an external galaxy; this gives an excitation temperature of T = 2.9 +- 0.3 K. The interstellar polarization law deviates significantly from what is observed in the Galaxy, indicating substantial differences in the composition or size distribution of dust grains in the SN2008fp host galaxy. C2 is used to probe the cold diffuse ISM density and temperature. The lack of variability in the extra-galactic absorption line profiles over a period of one month implies that the absorbing material is not circumstellar and thus not affected directly by the SN event. Also it shows that there are no significant density variation in the small-scale structure of the molecular cloud down to 100 AU.
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