  Let K/F be an arbitrary Galois extension of number fields and r be a
representation of Gal(K/F) into GSp(4,C). Let E_16 be the elemetary abelian
group of order 16 and C_5 the cyclic group of order 5. If the image of r in the
projective space PGSp(4,C) is isomorphic to the semidirect product of E_16 by
C_5, then we show r satisfies Artin's conjecture by proving r corresponds to an
automorphic representation. A specific case is given where r is primitive, so
Artin's conjecture does not follow from previous results.
