Table 23.

Reduction from 3 to 1

Space group of unstrained crystal, order 3 per lattice point		No specialization of stress			Space group of strained crystal, order 1 per lattice point
		Coordinates referred to axes of unstrained crystal
No.	Symbol	1st Subset	2d Subset	3d Subset	No.	Symbol
143	P3	(x, y, z)	($\overline{y}$,x-y, z)	(y-x,$\overline{x}$, z)	1	P1
144	P31	(x, y, z)	($\overline{y}$,x-y,⅓+ z)	(y-x,$\overline{x}$, ⅔+z)	1	P1
145	P31	(x, y, z)	($\overline{y}$,x-y, ⅔+z)	(y-x,$\overline{x}$, ⅓+z)	1	P1
146	R3 hex. axes	(x, y, z)	($\overline{y}$,x-y, z)	(y-x,$\overline{x}$, z)	1	P1