https://5dok.net/document/zx50w18o-andforthealternatinggroups-andevenestablishspecificgaloisextensionsforthelattertwo-weconcludewithadescriptionofawaytoestablishsomesemidirectproductsasgaloisgroups-wedescribetheknownsolutionsofthisproblemforabeliangroups-theinversegaloisproblemasksthequesti.html