There are many ways of conducting a research synthesis, and they don't all suit the same methodologies/review types. Please see below for an excellent summation of the most common types of research synthesis, along with their associated ouputs and exemplar review types.
This table was excerpted from Schick-Makaroff, K. et al. (2016): What Synthesis Methodology Should I Use? A Review and Analysis of Approaches to Research Synthesis. Aims Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
Grant, M.J. and Booth, A. (2009). A typology of reviews: an analysis of 14 review types and associated methodologies. Wiley.
Sumeracki, M. (n.d.). Different Research Methods: Strengths and Weaknesses. The Learning Scientists.