  We present spectra of the inverse-Compton and extragalactic components of the
high-energy gamma-radiation based on an analysis of the emission at high
galactic latitudes ($\vert$b$\vert$ $\geq$ $30\deg$). We correlate the
gamma-ray intensity with a model consisting of an isotropic component, a
component proportional to the 408 MHz synchrotron radiation, and a component
proportional to atomic hydrogen (H I) column density with different
emissivities in eight galactic octants. The spectrum of gamma-radiation that is
correlated with the H I column density indicates that this component originates
in cosmic-ray/matter interactions. The cosmic-ray electrons which produce the
408 MHz radio continuum emission also produce gamma-radiation through
inverse-Compton interactions with interstellar photons. By correlating the
gamma-radiation with the 408 MHz continuum, we measure the spectrum and
absolute intensity of the IC emission. The isotropic component gives us the
spectrum and intensity of the extragalactic gamma-radiation. We discuss
interpretation of the extragalactic spectrum.

Astrophysics