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Let  ω  be a 2-cocycle of a metacyclic  p -group  G  representing a non-trivial element of the Schur multiplierThen the number of  ω -regular conjugacy classes of  G , the subgroup consisting of the  ω -regular elements in the center of  G , the degree of each irreducible  ω -character of  G  and a representation group  H  of  G  with  M ( H ) trivial are all determined. Finally, for  ω  constructed from  H , the projective character table of  G  corresponding to  ω  is found in the case that  G  is of positive type. Communicated by Mark Lewis

Projective characters of metacyclic p -groups