Projective representation theory of dihedral group:D8

This article describes the projective linear representations of dihedral group:D8.

The Schur multiplier of dihedral group:D8 is cyclic group:Z2 (see group cohomology of dihedral group:D8 and second cohomology group for trivial group action of D8 on Z2). There are three possible choices for the Schur covering group: dihedral group:D16, semidihedral group:SD16, and generalized quaternion group:Q16. We pick dihedral group:D16 for this discussion. The projective representations of dihedral group:D8 all arise from linear representations of dihedral group:D16 (see linear representation theory of dihedral group:D16).