Investigation of 5D point symmetry groups with an invariant 3D plane and immobile point on it

To reveal the structure of 5D point symmetry groups with an invariant 3D plane and immobile point on it, we review in detail the catalog of 1208 3D point groups of ten rosette P-symmetries at P ? G ₂₀, which interpret (accurate to the structure) the aforementioned symmetry groups of the 5D Euclidean space of the category G ₅₃₀, where the numbers in the index 530 indicate successively the dimension of space and the dimensions of invariant subspaces in this space.