:Y chromosomes and mitochondrial DNA are reproduced one for one, but, even if the integrity of autosomal chromosomes was preserved, you would have a twenty something dimensional space, involving contributions from both parents.  However, the germ cell line actually undergoes genetic recombination, so the level of mix and match is even greater. 
 :As to markers, there are many markers documented in Wikipedia, e.g. see autosomal recessive disorders. Details of benign autosomal alleles are likely to be commercially confidential. 
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