Using the P-symmetry space groups of crystals to investigate 6D symmetry groups

All P symmetry space groups of crystals in the geometric classification that are allowed by the general theory of P symmetry have been investigated. The number of different symmetry groups of a 6D Euclidean space that retain the invariant 3D plane has been revealed using the different (disregarding enantiomorphism) symmetry space groups and crystallographic P symmetries generated by these groups.