Table 17.

Reduction from 32 to 2

Space group of unstrained crystal, order 6 per lattice point		If stressed so that	Coordinates referred to axes of unstrained crystal			Space group of strained crystal, order 2 per lattice point
No.	Symbol		1st Subset	2d Subset	3d Subset	No.	Symbol
149	P312	[1$\overline{1}$0] ǁ X, Y, or Z	(x,y, z)	($\overline{y}$,x-y, z)	(y—x, $\overline{x}$, z)	5	C2
			($\overline{y}$, $\overline{x}$, $\overline{z}$)	(y-x, y, $\overline{z}$)	( x,x-y, $\overline{z}$)
150	P321	[110] ǁ X, Y, or Z	(x, y, z)	($\overline{y}$,x-y, z)	(y—x, $\overline{x}$, z)	5	C2
			(y,x, $\overline{z}$)	(x-y, $\overline{y}$, z)	($\overline{x}$, y-x, z)
151	P3112	[1$\overline{1}$0] ǁ X, Y, or Z	(x.y, z)	($\overline{y}$,x-y, ⅓+z)	($\overline{y}$-x, $\overline{x}$, ⅔+z)	5	C2
			($\overline{y}$, $\overline{x}$, ⅔-z)	(y-x, y, ⅓-z)	( x, x—y, z)
152	P3121	[110] ǁ X, Y, or Z	(x, y, z)	($\overline{y}$,x-y,⅓+z)	(y-x, $\overline{x}$, ⅔+z)	5	C2
			(y,x, z)	(x-y, y, ⅔-z)	( x,y-x, ⅓-z)
153	P3212	[1$\overline{1}$0 ǁ X, Y, or Z	(x.y, z)	($\overline{y}$,x-y, ⅔+z)	(y-x, $\overline{x}$, ⅓+z)	5	C2
			($\overline{y}$, $\overline{x}$, ⅓-z)	(y-x, y, ⅔-z)	( x,x-y, z)
154	P3221	[110] ǁ X, Y, or Z	(x, y, z)	($\overline{y}$, x-y, ⅔+z)	(y-x, $\overline{x}$, ⅓+z)	5	C2
			(y,x, $\overline{z}$)	(x-y, $\overline{y}$, ⅓-z)	($\overline{x}$,y-x, ⅔-z)
155 hex.	R32 axes	[110] ǁ X, Y, or Z	(x, y, z)	($\overline{y}$,x-y, z)	(y-x, $\overline{x}$, z)	5	C2
			(y,x, z)	(x-y, y, $\overline{z}$)	($\overline{x}$, y—x, z)