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We consider two novel scenarios of residual symmetries of the lepton massmatrices. Firstly we assume a Z2 x Z2 symmetry G_ell for the charged-leptonmass matrix and a Z2 symmetry G_nu for the light neutrino mass matrix. Withthis setting, the moduli of the elements of one column of the lepton mixingmatrix are fixed up to a reordering. One may interchange the roles of G_ell andG_nu in this scenario, thereby constraining a row, instead of a column, of themixing matrix. Secondly we assume a residual symmetry group G_ell \cong Zm(m>2) which is generated by a matrix with a doubly-degenerate eigenvalue. Then,with G_nu \cong Z2 x Z2 the moduli of the elements of a row of the leptonmixing matrix get fixed. Using the library of small groups we have performed asearch for groups which may embed G_ell and G_nu in each of these twoscenarios. We have found only two phenomenologically viable possibilities, oneof them constraining a column and the other one a row of the mixing matrix.

Residual Z2 x Z2 symmetries and lepton mixing