Plant Breeding, Genetics, and Genomics, just like any other scientific discipline, involves a lot of research "tools" which a breeder/geneticist can use to perform his or her analyses. Here are some of the tools that we have been using to perform genetic mapping, genome-wide predictions, and other relevant analyses on our research.
Genome-wide association studies and QTL mapping
GAPIT- http://www.zzlab.net/GAPIT/
MapDisto- http://mapdisto.free.fr/
QTL Cartographer- https://brcwebportal.cos.ncsu.edu/qtlcart/
Genomic predictions
RRBLUP- https://cran.r-project.org/web/packages/rrBLUP/index.html
BGLR- https://cran.r-project.org/web/packages/BGLR/index.html
Genetic diversity and molecular marker analyses
Genodive- http://www.bentleydrummer.nl/software/software/GenoDive.html (for Mac users only)
STRUCTURE- https://web.stanford.edu/group/pritchardlab/structure.html
PowerMarker- https://brcwebportal.cos.ncsu.edu/powermarker/
KlusterCaller- https://www.biosearchtech.com/support/tools/genotyping-software/klustercaller
JMP Genomics- https://www.jmp.com/en_us/software/genomics-data-analysis-software.html
Sample files: Genotype data; Genotype map data
JMP is Your Friend, Part I: LD Analysis using JMP Genomics
JMP is Your Friend, Part II: PCA using JMP Genomics
JMP is Your Friend, Part III: LD tag SNP selection using JMP Genomics
Phenotypic data and statistical analyses