97 differences in this file (total phases impacted: 478)

 ***** COD 1001841 : P1211 (original: C1121) ***** + 73 other(s)
*** COD Symmetries *** 
x,y,z
-x,-y,z+1/2		// 1121
x+1/2,y+1/2,z		// C translation
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for P1211 ***
x,y,z
-x,y+1/2,-z

 ***** COD 1006047 : I4/mmm (original: F4/mmm) ***** + 5 other(s)
*** COD Symmetries ***
x,y,z
-x,y,z			// 4/mmm
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
y,x,z
y,x,-z
-y,x,z
-y,x,-z
y,-x,z
y,-x,-z
-y,-x,z
-y,-x,-z
x,y+1/2,z+1/2		// F translations
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
-x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
-x,-y+1/2,-z+1/2
y,x+1/2,z+1/2
y,x+1/2,-z+1/2
-y,x+1/2,z+1/2
-y,x+1/2,-z+1/2
y,-x+1/2,z+1/2
y,-x+1/2,-z+1/2
-y,-x+1/2,z+1/2
-y,-x+1/2,-z+1/2
x+1/2,y,z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,y,-z+1/2
x+1/2,-y,-z+1/2
-x+1/2,-y,-z+1/2
y+1/2,x,z+1/2
y+1/2,x,-z+1/2
-y+1/2,x,z+1/2
-y+1/2,x,-z+1/2
y+1/2,-x,z+1/2
y+1/2,-x,-z+1/2
-y+1/2,-x,z+1/2
-y+1/2,-x,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,-y+1/2,z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z
y+1/2,x+1/2,z
y+1/2,x+1/2,-z
-y+1/2,x+1/2,z
-y+1/2,x+1/2,-z
y+1/2,-x+1/2,z
y+1/2,-x+1/2,-z
-y+1/2,-x+1/2,z
-y+1/2,-x+1/2,-z
*** Table Symmetries for I4/mmm ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
y,x,z
y,x,-z
-y,x,z
-y,x,-z
y,-x,z
y,-x,-z
-y,-x,z
-y,-x,-z
x+1/2,y+1/2,z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
y+1/2,x+1/2,z+1/2
y+1/2,x+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-y+1/2,x+1/2,-z+1/2
y+1/2,-x+1/2,z+1/2
y+1/2,-x+1/2,-z+1/2
-y+1/2,-x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2

 ***** COD 1008922 : C12/m1 (original: F12/m1) ***** + 8 other(s)
*** COD Symmetries ***
x,y,z			// 12/m1
x,-y,z
-x,y,-z
-x,-y,-z
x,y+1/2,z+1/2		// F translations
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x,-y+1/2,-z+1/2
x+1/2,y,z+1/2
x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2
-x+1/2,-y,-z+1/2
x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z
*** Table Symmetries for C12/m1 ***
x,y,z
x,-y,z
-x,y,-z
-x,-y,-z
x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 1009031 : P42/mmc (original: P42/mmcs) *****
*** COD Symmetries ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
y+1/2,x+1/2,z+1/2
y+1/2,x+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-y+1/2,x+1/2,-z+1/2
y+1/2,-x+1/2,z+1/2
y+1/2,-x+1/2,-z+1/2
-y+1/2,-x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
*** Table Symmetries for P42/mmc ***
x,y,z
-x,y,z			//P42/mmc
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
y,x,z+1/2		// non-standard settings?
y,x,-z+1/2
-y,x,z+1/2
-y,x,-z+1/2
y,-x,z+1/2
y,-x,-z+1/2
-y,-x,z+1/2
-y,-x,-z+1/2

 ***** COD 1010022 : R-3mH (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z		//R-3mH
-x+y,y,z
x-y,-y,-z
x,x-y,z
y,x,-z
-y,x-y,z
x-y,x,-z
-x,-x+y,-z
-x+y,-x,z
y,-x+y,-z
-y,-x,z
x+1/3,y+2/3,z+1/3	// R:H translation 1/3,2/3,1/3 vs. 1/3,2/3,2/3
-x+1/3,-y+2/3,-z+1/3
-x+y+1/3,y+2/3,z+1/3
x-y+1/3,-y+2/3,-z+1/3
x+1/3,x-y+2/3,z+1/3
y+1/3,x+2/3,-z+1/3
-y+1/3,x-y+2/3,z+1/3
x-y+1/3,x+2/3,-z+1/3
-x+1/3,-x+y+2/3,-z+1/3
-x+y+1/3,-x+2/3,z+1/3
y+1/3,-x+y+2/3,-z+1/3
-y+1/3,-x+2/3,z+1/3
x+2/3,y+1/3,z+2/3
-x+2/3,-y+1/3,-z+2/3
-x+y+2/3,y+1/3,z+2/3
x-y+2/3,-y+1/3,-z+2/3
x+2/3,x-y+1/3,z+2/3
y+2/3,x+1/3,-z+2/3
-y+2/3,x-y+1/3,z+2/3
x-y+2/3,x+1/3,-z+2/3
-x+2/3,-x+y+1/3,-z+2/3
-x+y+2/3,-x+1/3,z+2/3
y+2/3,-x+y+1/3,-z+2/3
-y+2/3,-x+1/3,z+2/3
*** Table Symmetries for R-3mH ***
x,y,z
-x,-y,-z
-x+y,y,z
x-y,-y,-z
x,x-y,z
y,x,-z
-y,x-y,z
x-y,x,-z
-x,-x+y,-z
-x+y,-x,z
y,-x+y,-z
-y,-x,z
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-x+y+1/3,y+2/3,z+2/3
x-y+1/3,-y+2/3,-z+2/3
x+1/3,x-y+2/3,z+2/3
y+1/3,x+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+1/3,-x+y+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
-y+1/3,-x+2/3,z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-x+y+2/3,y+1/3,z+1/3
x-y+2/3,-y+1/3,-z+1/3
x+2/3,x-y+1/3,z+1/3
y+2/3,x+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+2/3,-x+y+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3
-y+2/3,-x+1/3,z+1/3

 ***** COD 1010098 : R-3H (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z		// R-3H
-y,x-y,z
x-y,x,-z
-x+y,-x,z
y,-x+y,-z
x+1/3,y+2/3,z+1/3	// R:H translation 1/3,2/3,1/3 vs. 1/3,2/3,2/3
-x+1/3,-y+2/3,-z+1/3
-y+1/3,x-y+2/3,z+1/3
x-y+1/3,x+2/3,-z+1/3
-x+y+1/3,-x+2/3,z+1/3
y+1/3,-x+y+2/3,-z+1/3
x+2/3,y+1/3,z+2/3
-x+2/3,-y+1/3,-z+2/3
-y+2/3,x-y+1/3,z+2/3
x-y+2/3,x+1/3,-z+2/3
-x+y+2/3,-x+1/3,z+2/3
y+2/3,-x+y+1/3,-z+2/3
*** Table Symmetries for R-3H ***
x,y,z
-x,-y,-z
-y,x-y,z
x-y,x,-z
-x+y,-x,z
y,-x+y,-z
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3

 ***** COD 1010217 : P121/m1 (original: ) *****
*** COD Symmetries ***
x,y,z
x,-y,z				// non-standard settings ?
-x,y+1/2,-z
-x,-y+1/2,-z
*** Table Symmetries for P121/m1 ***
x,y,z
-x,-y,-z
x,-y+1/2,z
-x,y+1/2,-z

 ***** COD 1010272 : Ibam (original: Icmas) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z
-x,y,-z				// non-standard settings ?
x,-y,-z
-x,y+1/2,z
x,-y+1/2,z
x,y+1/2,-z
-x,-y+1/2,-z
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,-y,-z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Ibam ***
x,y,z
-x,-y,z
x,y,-z
-x,-y,-z
-x,y,z+1/2
x,-y,z+1/2
-x,y,-z+1/2
x,-y,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2

 ***** COD 1010481 : I4/mcm (original: I4/mcms) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z			// non-standard settings ?
y,x,z
-y,-x,-z
-x,-y,z+1/2
x,y,-z+1/2
y,x,-z+1/2
-y,-x,z+1/2
-x,y+1/2,z
x,-y+1/2,-z
-y,x+1/2,z
y,-x+1/2,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-y,x+1/2,-z+1/2
y,-x+1/2,z+1/2
x+1/2,-y,z
-x+1/2,y,-z
-y+1/2,x,-z
y+1/2,-x,z
-x+1/2,y,z+1/2
x+1/2,-y,-z+1/2
-y+1/2,x,z+1/2
y+1/2,-x,-z+1/2
-x+1/2,-y+1/2,z
x+1/2,y+1/2,-z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
*** Table Symmetries for I4/mcm ***
x,y,z
-x,-y,z
x,y,-z
-x,-y,-z
-y,x,z
-y,x,-z
y,-x,z
y,-x,-z
-x,y,z+1/2
x,-y,z+1/2
-x,y,-z+1/2
x,-y,-z+1/2
y,x,z+1/2
y,x,-z+1/2
-y,-x,z+1/2
-y,-x,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
y+1/2,x+1/2,z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,z
-y+1/2,-x+1/2,-z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-y+1/2,x+1/2,-z+1/2
y+1/2,-x+1/2,z+1/2
y+1/2,-x+1/2,-z+1/2

 ***** COD 1010624 : I41/a o1 (original: I41/az1) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x,-y+1/2,z			// non-standard settings ? (neither O1 nor O2)
x,y+1/2,-z
-y+1/4,x+1/4,-z+3/4
y+1/4,-x+1/4,z+3/4
-y+1/4,x+3/4,z+1/4
y+1/4,-x+3/4,-z+1/4
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+3/4,x+1/4,z+3/4
y+3/4,-x+1/4,-z+3/4
-y+3/4,x+3/4,-z+1/4
y+3/4,-x+3/4,z+1/4
*** Table Symmetries for I41/a o1 ***
x,y,z
-x,-y,z
-y,x,-z
y,-x,-z
x,y+1/2,-z+1/4
-x,-y+1/2,-z+1/4
-y,x+1/2,z+1/4
y,-x+1/2,z+1/4
x+1/2,y,-z+3/4
-x+1/2,-y,-z+3/4
-y+1/2,x,z+3/4
y+1/2,-x,z+3/4
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
-y+1/2,x+1/2,-z+1/2
y+1/2,-x+1/2,-z+1/2

 ***** COD 1010649 : Pnma (original: Pbnms) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,y,-z
-x,-y,z+1/2
-x,-y,-z+1/2
-x+1/2,y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Pnma ***
x,y,z			// non-standard settings ?
-x,-y,-z
x,-y+1/2,z
-x,y+1/2,-z
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2

 ***** COD 1011029 : R-3c:r (original: R-3crs) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-y,-x,-z		// non-standard settings ?
-x,-z,-y
z,x,y
y,z,x
-z,-y,-x
-x+1/2,-y+1/2,-z+1/2
y+1/2,x+1/2,z+1/2
x+1/2,z+1/2,y+1/2
-z+1/2,-x+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
-y+1/2,-z+1/2,-x+1/2
*** Table Symmetries for R-3c:r ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2

 ***** COD 1534519 : C12/c1 (original: B112/n) ***** + 21 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x,-y+1/2,z+1/2			// non-standard settings ?
x,y-1/2,-z+1/2
x+1/2,y,z+1/2
-x+1/2,-y,-z+1/2
-x+1/2,-y+1/2,z
x-1/2,y-1/2,-z
*** Table Symmetries for C12/c1 ***
x,y,z
-x,-y,-z
x,-y,z+1/2
-x,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 1534634 : Cmma (original: Abmm) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z				// symmetries for Abmm
-x,y,-z
-x,-y,-z
-x,y,z+1/2
-x,-y,z+1/2
x,y,-z+1/2
x,-y,-z+1/2
-x,y-1/2,z
-x,-y+1/2,z
x,y-1/2,-z
x,-y+1/2,-z
x,y+1/2,z+1/2
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x,-y+1/2,-z+1/2
*** Table Symmetries for Cmma ***
x,y,z
-x,y,z
x,-y,-z
-x,-y,-z
x,-y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
-x,y+1/2,-z
x+1/2,-y,z
-x+1/2,-y,z
x+1/2,y,-z
-x+1/2,y,-z
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 1535265 : Imma (original: Ibmm) ***** + 5 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z			// Symmetries for Ibmm
-x,y,-z
-x,-y,-z
-x,y,z-1/2
-x,-y,z+1/2
x,y,-z-1/2
x,-y,-z+1/2
-x+1/2,y+1/2,z
-x+1/2,-y+1/2,z
x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Imma ***
x,y,z
-x,y,z
x,-y,-z
-x,-y,-z
x,-y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
-x,y+1/2,-z
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,y,-z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2

 ***** COD 1536822 : Cmca (original: Abma) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z				// symmetries for Abma
-x,y,-z
-x,-y,-z
x,y+1/2,z+1/2
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x,-y+1/2,-z+1/2
-x-1/2,y,z+1/2
-x+1/2,-y,z+1/2
x-1/2,y,-z+1/2
x+1/2,-y,-z+1/2
-x-1/2,y-1/2,z
-x+1/2,-y+1/2,z
x-1/2,y-1/2,-z
x+1/2,-y+1/2,-z
*** Table Symmetries for Cmca ***
x,y,z
-x,y,z
x,-y,-z
-x,-y,-z
x,-y+1/2,z+1/2
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
-x,y+1/2,-z+1/2
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 1537395 : Cmcm (original: Amma) ***** + 7 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z				// symmetries for amma
-x,y,-z
-x,-y,-z
x,y+1/2,z+1/2
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x,-y+1/2,-z+1/2
-x-1/2,y,z
-x+1/2,-y,z
x-1/2,y,-z
x+1/2,-y,-z
-x-1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
x-1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Cmcm ***
x,y,z
-x,y,z
x,-y,-z
-x,-y,-z
x,-y,z+1/2
-x,-y,z+1/2
x,y,-z+1/2
-x,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 1537595 : P121/c1 (original: ) ***** + 36 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
x,-y-1/2,z-1/2		// 121/C1
-x,y+1/2,-z+1/2
x+1/2,y,z+1/2		// C offsets added
-x+1/2,-y,-z+1/2
x+1/2,-y-1/2,z
-x+1/2,y+1/2,-z
*** Table Symmetries for P121/c1 ***
x,y,z
-x,-y,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2

 ***** COD 1540392 : Pmnb (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,y,z			// non-standard settings ?
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
*** Table Symmetries for Pmnb ***
x,y,z
-x,-y,-z
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
-x+1/2,y,z
x+1/2,-y,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 1545252 : P6322 (original: ) *****
*** COD Symmetries ***
y,-x,z			// incomplete table
-y,x,z+1/2
*** Table Symmetries for P6322 ***
x,y,z
x-y,-y,-z
y,x,-z
-y,x-y,z
-x,-x+y,-z
-x+y,-x,z
-x,-y,z+1/2
-x+y,y,-z+1/2
x,x-y,-z+1/2
x-y,x,z+1/2
y,-x+y,z+1/2
-y,-x,-z+1/2

 ***** COD 1549132 : I41/a o2 (original: I41/a) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x,-y+1/2,z
x,y+1/2,-z
-y+1/4,x+1/4,-z+1/4
y+1/4,-x+1/4,z+1/4
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+3/4,x+1/4,z+1/4
y+3/4,-x+1/4,-z+1/4
-y+3/4,x+3/4,-z+3/4
y+3/4,-x+3/4,z+3/4	// missing in list: -y+1/4,x+3/4,z+3/4; y+1/4,-x+3/4,-z+3/4

*** Table Symmetries for I41/a o2 ***
x,y,z
-x,-y,-z
-x,-y+1/2,z
x,y+1/2,-z
-y+1/4,x+1/4,-z+1/4
y+1/4,-x+1/4,z+1/4
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-y+1/4,x+3/4,z+3/4
y+1/4,-x+3/4,-z+3/4
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+3/4,x+1/4,z+1/4
y+3/4,-x+1/4,-z+1/4
-y+3/4,x+3/4,-z+3/4
y+3/4,-x+3/4,z+3/4

 ***** COD 1553126 : P-1 (original: ) ***** + 11 other(s)
*** COD Symmetries ***
x,y,z
x,y,z			// duplicated
-x,-y,-z
-x,-y,-z
*** Table Symmetries for P-1 ***
x,y,z
-x,-y,-z

 ***** COD 1558583 : R-3c:H (original: R-3c) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-y,x-y,z
x-y,x,-z
-x+y,-x,z
y,-x+y,-z
-x+y,y,z+1/2
x-y,-y,-z+1/2
x,x-y,z+1/2
y,x,-z+1/2
-x,-x+y,-z+1/2
-y,-x,z+1/2		// missing: -x+y+1/3,y+2/3,z+1/6; x-y+1/3,-y+2/3,-z+1/6; 
			// x+1/3,x-y+2/3,z+1/6; y+1/3,x+2/3,-z+1/6; -x+1/3,-x+y+2/3,-z+1/6;
			// -y+1/3,-x+2/3,z+1/6

x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3
-x+y+2/3,y+1/3,z+5/6
x-y+2/3,-y+1/3,-z+5/6
x+2/3,x-y+1/3,z+5/6
y+2/3,x+1/3,-z+5/6
-x+2/3,-x+y+1/3,-z+5/6
-y+2/3,-x+1/3,z+5/6
*** Table Symmetries for R-3c:H ***
x,y,z
-x,-y,-z
-y,x-y,z
x-y,x,-z
-x+y,-x,z
y,-x+y,-z
-x+y,y,z+1/2
x-y,-y,-z+1/2
x,x-y,z+1/2
y,x,-z+1/2
-x,-x+y,-z+1/2
-y,-x,z+1/2
-x+y+1/3,y+2/3,z+1/6
x-y+1/3,-y+2/3,-z+1/6
x+1/3,x-y+2/3,z+1/6
y+1/3,x+2/3,-z+1/6
-x+1/3,-x+y+2/3,-z+1/6
-y+1/3,-x+2/3,z+1/6
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3
-x+y+2/3,y+1/3,z+5/6
x-y+2/3,-y+1/3,-z+5/6
x+2/3,x-y+1/3,z+5/6
y+2/3,x+1/3,-z+5/6
-x+2/3,-x+y+1/3,-z+5/6
-y+2/3,-x+1/3,z+5/6

 ***** COD 1559037 : Fddd o2 (original: Fddd) *****
*** COD Symmetries ***
x,y,z
-x,-y,z			// usually called Fddd o1
-x,y,-z
x,-y,-z
x,y+1/2,z+1/2
-x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4
x+1/4,y+1/4,-z+1/4
-x+1/4,-y+1/4,-z+1/4
x+1/2,y,z+1/2
-x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2
x+1/2,-y,-z+1/2
-x+1/4,y+3/4,z+3/4
x+1/4,-y+3/4,z+3/4
x+1/4,y+3/4,-z+3/4
-x+1/4,-y+3/4,-z+3/4
x+1/2,y+1/2,z
-x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
-x+3/4,y+1/4,z+3/4
x+3/4,-y+1/4,z+3/4
x+3/4,y+1/4,-z+3/4
-x+3/4,-y+1/4,-z+3/4
-x+3/4,y+3/4,z+1/4
x+3/4,-y+3/4,z+1/4
x+3/4,y+3/4,-z+1/4
-x+3/4,-y+3/4,-z+1/4
*** Table Symmetries for Fddd o2 ***
x,y,z
-x,-y,-z
-x,y+1/4,z+1/4
x,-y+1/4,-z+1/4
x,y+1/2,z+1/2
-x,-y+1/2,-z+1/2
x+1/4,-y,z+1/4
-x+1/4,y,-z+1/4
-x,y+3/4,z+3/4
-x+1/4,-y+1/4,z
x+1/4,y+1/4,-z
x,-y+3/4,-z+3/4
x+1/4,-y+1/2,z+3/4
-x+1/4,y+1/2,-z+3/4
x+1/2,y,z+1/2
-x+1/4,-y+3/4,z+1/2
x+1/4,y+3/4,-z+1/2
-x+1/2,-y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/4,z+3/4
x+1/2,-y+1/4,-z+3/4
-x+1/2,-y+1/2,-z
-x+1/2,y+3/4,z+1/4
x+1/2,-y+3/4,-z+1/4
x+3/4,-y,z+3/4
-x+3/4,y,-z+3/4
-x+3/4,-y+1/4,z+1/2
x+3/4,y+1/4,-z+1/2
x+3/4,-y+1/2,z+1/4
-x+3/4,y+1/2,-z+1/4
-x+3/4,-y+3/4,z
x+3/4,y+3/4,-z

 ***** COD 1559957 : C2/c (original: ) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z		
x,-y+1/2,z+1/2		// non-standard settings ?
-x,y+1/2,-z+1/2
x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
*** Table Symmetries for C2/c ***
x,y,z
-x,-y,-z
x,-y,z+1/2
-x,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 1564490 : R-3:H (original: R-3) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-y,x-y,z
-y,x-y,z		// duplicated
x-y,x,-z
-x+y,-x,z
-x+y,-x,z		// duplicated
y,-x+y,-z
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3
*** Table Symmetries for R-3:H ***
x,y,z
-x,-y,-z
-y,x-y,z
x-y,x,-z
-x+y,-x,z
y,-x+y,-z
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3

 ***** COD 1571576 : P121/n1 (original: ) ***** + 9 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
x-1/2,-y-1/2,z-1/2
-x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2		// duplicated
*** Table Symmetries for P121/n1 ***
x,y,z
-x,-y,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 2000149 : R-3:r (original: R-3) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
x+1/3,y+2/3,z+2/3		// R:H translations spuriously added
-x+1/3,-y+2/3,-z+2/3
z+1/3,x+2/3,y+2/3
-z+1/3,-x+2/3,-y+2/3
y+1/3,z+2/3,x+2/3
-y+1/3,-z+2/3,-x+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
z+2/3,x+1/3,y+1/3
-z+2/3,-x+1/3,-y+1/3
y+2/3,z+1/3,x+1/3
-y+2/3,-z+1/3,-x+1/3
*** Table Symmetries for R-3:r ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x

 ***** COD 2000170 : R32 (original: R32) ***** + 6 other(s)
*** COD Symmetries ***
x,y,z
-y,-x,-z
-x,-z,-y
z,x,y
y,z,x
-z,-y,-x
x+1/3,y+2/3,z+2/3		// R:H translations spuriously added
-y+1/3,-x+2/3,-z+2/3
-x+1/3,-z+2/3,-y+2/3
z+1/3,x+2/3,y+2/3
y+1/3,z+2/3,x+2/3
-z+1/3,-y+2/3,-x+2/3
x+2/3,y+1/3,z+1/3
-y+2/3,-x+1/3,-z+1/3
-x+2/3,-z+1/3,-y+1/3
z+2/3,x+1/3,y+1/3
y+2/3,z+1/3,x+1/3
-z+2/3,-y+1/3,-x+1/3
*** Table Symmetries for R32 ***
x,y,z
-y,-x,-z
-x,-z,-y
z,x,y
y,z,x
-z,-y,-x

 ***** COD 2000736 : R-3 (original: ) ***** + 20 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
x+1/3,y+2/3,z+2/3		// H translations spuriously added
-x+1/3,-y+2/3,-z+2/3
z+1/3,x+2/3,y+2/3
-z+1/3,-x+2/3,-y+2/3
y+1/3,z+2/3,x+2/3
-y+1/3,-z+2/3,-x+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
z+2/3,x+1/3,y+1/3
-z+2/3,-x+1/3,-y+1/3
y+2/3,z+1/3,x+1/3
-y+2/3,-z+1/3,-x+1/3
*** Table Symmetries for R-3 ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x

 ***** COD 2000778 : R-3m (original: R-3m) ***** + 17 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
y,x,z
-y,-x,-z
x,z,y
-x,-z,-y
z,x,y
-z,-x,-y
y,z,x
z,y,x
-y,-z,-x
-z,-y,-x
x+1/3,y+2/3,z+2/3		// H translations spuriously added
-x+1/3,-y+2/3,-z+2/3
y+1/3,x+2/3,z+2/3
-y+1/3,-x+2/3,-z+2/3
x+1/3,z+2/3,y+2/3
-x+1/3,-z+2/3,-y+2/3
z+1/3,x+2/3,y+2/3
-z+1/3,-x+2/3,-y+2/3
y+1/3,z+2/3,x+2/3
z+1/3,y+2/3,x+2/3
-y+1/3,-z+2/3,-x+2/3
-z+1/3,-y+2/3,-x+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
y+2/3,x+1/3,z+1/3
-y+2/3,-x+1/3,-z+1/3
x+2/3,z+1/3,y+1/3
-x+2/3,-z+1/3,-y+1/3
z+2/3,x+1/3,y+1/3
-z+2/3,-x+1/3,-y+1/3
y+2/3,z+1/3,x+1/3
z+2/3,y+1/3,x+1/3
-y+2/3,-z+1/3,-x+1/3
-z+2/3,-y+1/3,-x+1/3
*** Table Symmetries for R-3m ***
x,y,z
-x,-y,-z
y,x,z
-y,-x,-z
x,z,y
-x,-z,-y
z,x,y
-z,-x,-y
y,z,x
z,y,x
-y,-z,-x
-z,-y,-x

 ***** COD 2001475 : I41/a (original: ) ***** + 11 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x,-y+1/2,z		// non-standard setting ? (neither o1 nor o2)
x,y+1/2,-z
-y+1/4,x+1/4,-z+1/4
y+1/4,-x+1/4,z+1/4
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-y+1/4,x+3/4,z+3/4
y+1/4,-x+3/4,-z+3/4
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+3/4,x+1/4,z+1/4
y+3/4,-x+1/4,-z+1/4
-y+3/4,x+3/4,-z+3/4
y+3/4,-x+3/4,z+3/4
*** Table Symmetries for I41/a ***
x,y,z
-x,-y,z
-y,x,-z
y,-x,-z
x,y+1/2,-z+1/4
-x,-y+1/2,-z+1/4
-y,x+1/2,z+1/4
y,-x+1/2,z+1/4
x+1/2,y,-z+3/4
-x+1/2,-y,-z+3/4
-y+1/2,x,z+3/4
y+1/2,-x,z+3/4
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
-y+1/2,x+1/2,-z+1/2
y+1/2,-x+1/2,-z+1/2

 ***** COD 2001660 : R-3c (original: R-3c) ***** + 27 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
y+1/6,x+5/6,z+5/6		// symmetries for r-3c with offsets for r-3C:H spuriously added
-y+1/6,-x+5/6,-z+5/6
x+1/6,z+5/6,y+5/6
-x+1/6,-z+5/6,-y+5/6
z+1/6,y+5/6,x+5/6
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-z+1/6,-y+5/6,-x+5/6
z+1/3,x+2/3,y+2/3
-z+1/3,-x+2/3,-y+2/3
y+1/3,z+2/3,x+2/3
-y+1/3,-z+2/3,-x+2/3
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-z+1/2,-y+1/2,-x+1/2
z+2/3,x+1/3,y+1/3
-z+2/3,-x+1/3,-y+1/3
y+2/3,z+1/3,x+1/3
-y+2/3,-z+1/3,-x+1/3
y+5/6,x+1/6,z+1/6
-y+5/6,-x+1/6,-z+1/6
x+5/6,z+1/6,y+1/6
-x+5/6,-z+1/6,-y+1/6
z+5/6,y+1/6,x+1/6
-z+5/6,-y+1/6,-x+1/6
*** Table Symmetries for R-3c ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2

 ***** COD 2002944 : P4/mbm (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z		// incomplete list
-y,x,z
y,-x,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,-z
*** Table Symmetries for P4/mbm ***
x,y,z
-x,-y,z
x,y,-z
-x,-y,-z
-y,x,z
-y,x,-z
y,-x,z
y,-x,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
y+1/2,x+1/2,z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,z
-y+1/2,-x+1/2,-z

 ***** COD 2003020 : R3 (original: ) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
z,x,y
y,z,x
x+1/3,y+2/3,z+2/3	// symmetries for R3 with offsets for R3:H
z+1/3,x+2/3,y+2/3
y+1/3,z+2/3,x+2/3
x+2/3,y+1/3,z+1/3
z+2/3,x+1/3,y+1/3
y+2/3,z+1/3,x+1/3
*** Table Symmetries for R3 ***
x,y,z
z,x,y
y,z,x

 ***** COD 2003764 : Fddd (original: ) *****
*** COD Symmetries ***
x,y,z
x,-y+3/4,-z+3/4		// incomplete list
-x+3/4,y,-z+3/4
-x+3/4,-y+3/4,z
*** Table Symmetries for Fddd ***
x,y,z
-x,-y,z			// (fddd o1)
-x,y,-z
x,-y,-z
x,y+1/2,z+1/2
-x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4
x+1/4,y+1/4,-z+1/4
-x+1/4,-y+1/4,-z+1/4
x+1/2,y,z+1/2
-x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2
x+1/2,-y,-z+1/2
-x+1/4,y+3/4,z+3/4
x+1/4,-y+3/4,z+3/4
x+1/4,y+3/4,-z+3/4
-x+1/4,-y+3/4,-z+3/4
x+1/2,y+1/2,z
-x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
-x+3/4,y+1/4,z+3/4
x+3/4,-y+1/4,z+3/4
x+3/4,y+1/4,-z+3/4
-x+3/4,-y+1/4,-z+3/4
-x+3/4,y+3/4,z+1/4
x+3/4,-y+3/4,z+1/4
x+3/4,y+3/4,-z+1/4
-x+3/4,-y+3/4,-z+1/4

 ***** COD 2004899 : Pmcn (original: ) ***** + 3 other(s)
*** COD Symmetries ***
x,y,z
x,-y+1/2,z+1/2		// incomplete list
-x+1/2,y,z
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for Pmcn ***
x,y,z
-x,-y,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x+1/2,y,z
x+1/2,-y,-z
-x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2

 ***** COD 2005574 : P12/m1 (original: C2/m) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z			// 2/m
-x,y,-z
-x,-y,-z
x+1/2,y+1/2,z		// offsets for Bravais C inconsistent with P
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z
*** Table Symmetries for P12/m1 ***
x,y,z
x,-y,z
-x,y,-z
-x,-y,-z

 ***** COD 2008885 : P21ca (original: ) *****
*** COD Symmetries ***
x,y,z
x,-y+1/2,z+1/2		// non-standard settings ?
x+1/2,y,-z+1/2
x+1/2,-y+1/2,-z
*** Table Symmetries for P21ca ***
x,y,z
x,-y,z+1/2
x+1/2,-y,-z
x+1/2,y,-z+1/2

 ***** COD 2009987 : P212121 (original: ) ***** + 12 other(s)
*** COD Symmetries ***
x,y,z
x,y,z			// erroneous list (3 times x,y,z)
x,y,z
*** Table Symmetries for P212121 ***
x,y,z
-x,y+1/2,-z+1/2
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z

 ***** COD 2010088 : Ia-3d (original: Ia-3d) *****
*** COD Symmetries ***
x,y,z
x,y,z
-x,-y,-z
-x,-y,-z
z,x,y
z,x,y
-z,-x,-y
-z,-x,-y
y,z,x
y,z,x
-x,y,z+1/2
-x,y,z+1/2	// duplicated (48 duplicates total)
x,-y,-z+1/2
x,-y,-z+1/2
z,-x,-y+1/2
z,-x,-y+1/2
-y,-z,-x
-y,-z,-x
-z,x,y+1/2
-z,x,y+1/2
-y,z,x+1/2
-y,z,x+1/2
y,-z,-x+1/2
y,-z,-x+1/2
-x,-y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
x,y+1/2,-z
z,x+1/2,-y
z,x+1/2,-y
-z,-x+1/2,y
-z,-x+1/2,y
-y,-z+1/2,x
-y,-z+1/2,x
x,-y+1/2,z+1/2
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
-x,y+1/2,-z+1/2
z,-x+1/2,y+1/2
z,-x+1/2,y+1/2
y,z+1/2,-x
y,z+1/2,-x
-z,x+1/2,-y+1/2
-z,x+1/2,-y+1/2
y,-z+1/2,x+1/2
y,-z+1/2,x+1/2
-y,z+1/2,-x+1/2
-y,z+1/2,-x+1/2
y+1/4,x+1/4,z+1/4
y+1/4,x+1/4,z+1/4
-y+1/4,-x+1/4,-z+1/4
x+1/4,z+1/4,y+1/4
x+1/4,z+1/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,y+1/4,x+1/4
z+1/4,y+1/4,x+1/4
-y+1/4,x+1/4,-z+3/4
-y+1/4,x+1/4,-z+3/4
y+1/4,-x+1/4,z+3/4
y+1/4,-x+1/4,z+3/4
y+1/4,-x+1/4,z+3/4
x+1/4,-z+1/4,y+3/4
x+1/4,-z+1/4,y+3/4
x+1/4,-z+1/4,y+3/4
-x+1/4,z+1/4,-y+3/4
-x+1/4,z+1/4,-y+3/4
-z+1/4,-y+1/4,-x+1/4
z+1/4,-y+1/4,x+3/4
z+1/4,-y+1/4,x+3/4
x+1/2,-y,z
x+1/2,-y,z
-x+1/2,y,-z
-x+1/2,y,-z
z+1/4,-y+1/4,-x+3/4
-z+1/4,y+1/4,-x+3/4
-z+1/4,y+1/4,-x+3/4
z+1/2,-x,y
z+1/2,-x,y
-y+1/4,x+3/4,z+1/4
-y+1/4,x+3/4,z+1/4
-y+1/4,x+3/4,z+1/4
y+1/4,-x+3/4,-z+1/4
y+1/4,-x+3/4,-z+1/4
-x+1/4,z+3/4,y+1/4
-x+1/4,z+3/4,y+1/4
-x+1/4,z+3/4,y+1/4
-z+1/2,x,-y
-z+1/2,x,-y
x+1/4,-z+3/4,-y+1/4
x+1/4,-z+3/4,-y+1/4
y+1/2,-z,x
y+1/2,-z,x
-x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y,-z+1/2
-y+1/2,z,-x
-y+1/2,z,-x
z+1/2,x,-y+1/2
z+1/2,x,-y+1/2
y+1/4,x+3/4,-z+3/4
-y+1/4,-x+3/4,z+3/4
-y+1/4,-x+3/4,z+3/4
-z+1/2,-x,y+1/2
-z+1/2,-x,y+1/2
-z+1/4,y+3/4,x+1/4
-z+1/4,y+3/4,x+1/4
-z+1/4,y+3/4,x+1/4
-x+1/4,-z+3/4,y+3/4
-x+1/4,-z+3/4,y+3/4
x+1/4,z+3/4,-y+3/4
-y+1/2,-z,x+1/2
-y+1/2,-z,x+1/2
z+1/4,-y+3/4,-x+1/4
z+1/4,-y+3/4,-x+1/4
y+1/2,z,-x+1/2
y+1/2,z,-x+1/2
-z+1/4,-y+3/4,x+3/4
-z+1/4,-y+3/4,x+3/4
-x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
x+1/2,-y+1/2,-z
z+1/4,y+3/4,-x+3/4
z+1/2,-x+1/2,-y
z+1/2,-x+1/2,-y
-z+1/2,x+1/2,y
-z+1/2,x+1/2,y
-y+1/2,z+1/2,x
-y+1/2,z+1/2,x
x+1/2,y+1/2,z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
z+1/2,x+1/2,y+1/2
z+1/2,x+1/2,y+1/2
y+1/2,-z+1/2,-x
y+1/2,-z+1/2,-x
-z+1/2,-x+1/2,-y+1/2
-z+1/2,-x+1/2,-y+1/2
y+1/2,z+1/2,x+1/2
y+1/2,z+1/2,x+1/2
-y+1/2,-z+1/2,-x+1/2
-y+1/2,-z+1/2,-x+1/2
y+3/4,x+1/4,-z+1/4
y+3/4,x+1/4,-z+1/4
y+3/4,x+1/4,-z+1/4
-y+3/4,-x+1/4,z+1/4
-y+3/4,-x+1/4,z+1/4
-x+3/4,-z+1/4,y+1/4
-x+3/4,-z+1/4,y+1/4
x+3/4,z+1/4,-y+1/4
x+3/4,z+1/4,-y+1/4
x+3/4,z+1/4,-y+1/4
-y+3/4,x+1/4,z+3/4
y+3/4,-x+1/4,-z+3/4
y+3/4,-x+1/4,-z+3/4
-x+3/4,z+1/4,y+3/4
-z+3/4,-y+1/4,x+1/4
-z+3/4,-y+1/4,x+1/4
x+3/4,-z+1/4,-y+3/4
x+3/4,-z+1/4,-y+3/4
z+3/4,y+1/4,-x+1/4
z+3/4,y+1/4,-x+1/4
z+3/4,y+1/4,-x+1/4
-z+3/4,y+1/4,x+3/4
z+3/4,-y+1/4,-x+3/4
z+3/4,-y+1/4,-x+3/4
-y+3/4,x+3/4,-z+1/4
-y+3/4,x+3/4,-z+1/4
y+3/4,-x+3/4,z+1/4
x+3/4,-z+3/4,y+1/4
-x+3/4,z+3/4,-y+1/4
-x+3/4,z+3/4,-y+1/4
z+3/4,-y+3/4,x+1/4
y+3/4,x+3/4,z+3/4
y+3/4,x+3/4,z+3/4
-y+3/4,-x+3/4,-z+3/4
-y+3/4,-x+3/4,-z+3/4
-y+3/4,-x+3/4,-z+3/4
x+3/4,z+3/4,y+3/4
x+3/4,z+3/4,y+3/4
-x+3/4,-z+3/4,-y+3/4
-x+3/4,-z+3/4,-y+3/4
-x+3/4,-z+3/4,-y+3/4
-z+3/4,y+3/4,-x+1/4
-z+3/4,y+3/4,-x+1/4
z+3/4,y+3/4,x+3/4
z+3/4,y+3/4,x+3/4
-z+3/4,-y+3/4,-x+3/4
-z+3/4,-y+3/4,-x+3/4
-z+3/4,-y+3/4,-x+3/4
*** Table Symmetries for Ia-3d ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-x,y,z+1/2
x,-y,-z+1/2
z,-x,-y+1/2
-y,-z,-x
-z,x,y+1/2
-y,z,x+1/2
y,-z,-x+1/2
-x,-y+1/2,z
x,y+1/2,-z
z,x+1/2,-y
-z,-x+1/2,y
-y,-z+1/2,x
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
z,-x+1/2,y+1/2
y,z+1/2,-x
-z,x+1/2,-y+1/2
y,-z+1/2,x+1/2
-y,z+1/2,-x+1/2
y+1/4,x+1/4,z+1/4
-y+1/4,-x+1/4,-z+1/4
x+1/4,z+1/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,y+1/4,x+1/4
-y+1/4,x+1/4,-z+3/4
y+1/4,-x+1/4,z+3/4
x+1/4,-z+1/4,y+3/4
-x+1/4,z+1/4,-y+3/4
-z+1/4,-y+1/4,-x+1/4
z+1/4,-y+1/4,x+3/4
x+1/2,-y,z
-x+1/2,y,-z
-z+1/4,y+1/4,-x+3/4
z+1/2,-x,y
-y+1/4,x+3/4,z+1/4
y+1/4,-x+3/4,-z+1/4
-x+1/4,z+3/4,y+1/4
-z+1/2,x,-y
x+1/4,-z+3/4,-y+1/4
y+1/2,-z,x
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-y+1/2,z,-x
z+1/2,x,-y+1/2
y+1/4,x+3/4,-z+3/4
-y+1/4,-x+3/4,z+3/4
-z+1/2,-x,y+1/2
-z+1/4,y+3/4,x+1/4
-x+1/4,-z+3/4,y+3/4
x+1/4,z+3/4,-y+3/4
-y+1/2,-z,x+1/2
z+1/4,-y+3/4,-x+1/4
y+1/2,z,-x+1/2
-z+1/4,-y+3/4,x+3/4
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
z+1/4,y+3/4,-x+3/4
z+1/2,-x+1/2,-y
-z+1/2,x+1/2,y
-y+1/2,z+1/2,x
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
z+1/2,x+1/2,y+1/2
y+1/2,-z+1/2,-x
-z+1/2,-x+1/2,-y+1/2
y+1/2,z+1/2,x+1/2
-y+1/2,-z+1/2,-x+1/2
y+3/4,x+1/4,-z+1/4
-y+3/4,-x+1/4,z+1/4
-x+3/4,-z+1/4,y+1/4
x+3/4,z+1/4,-y+1/4
-y+3/4,x+1/4,z+3/4
y+3/4,-x+1/4,-z+3/4
-x+3/4,z+1/4,y+3/4
-z+3/4,-y+1/4,x+1/4
x+3/4,-z+1/4,-y+3/4
z+3/4,y+1/4,-x+1/4
-z+3/4,y+1/4,x+3/4
z+3/4,-y+1/4,-x+3/4
-y+3/4,x+3/4,-z+1/4
y+3/4,-x+3/4,z+1/4
x+3/4,-z+3/4,y+1/4
-x+3/4,z+3/4,-y+1/4
z+3/4,-y+3/4,x+1/4
y+3/4,x+3/4,z+3/4
-y+3/4,-x+3/4,-z+3/4
x+3/4,z+3/4,y+3/4
-x+3/4,-z+3/4,-y+3/4
-z+3/4,y+3/4,-x+1/4
z+3/4,y+3/4,x+3/4
-z+3/4,-y+3/4,-x+3/4

 ***** COD 2014900 : P21/m11 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z			// non-standard settings ?
x+1/2,-y+3/4,-z
-x+1/2,-y+3/4,-z
*** Table Symmetries for P21/m11 ***
x,y,z
-x,-y,-z
-x+1/2,y,z
x+1/2,-y,-z

 ***** COD 2100159 : Pbn21 (original: Pbn2~1~) *****
*** COD Symmetries ***
x,y,z
-x,y+1/2,z		// non-standard settings ?
x+1/2,-y,z+1/2
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for Pbn21 ***
x,y,z
-x,-y,z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z+1/2

 ***** COD 2101317 : R-3cr (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
y+1/6,x+5/6,z+5/6		// symmetries for R-3cr with offsets for R:H spuriously added
-y+1/6,-x+5/6,-z+5/6
x+1/6,z+5/6,y+5/6
-x+1/6,-z+5/6,-y+5/6
z+1/6,y+5/6,x+5/6
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-z+1/6,-y+5/6,-x+5/6
z+1/3,x+2/3,y+2/3
-z+1/3,-x+2/3,-y+2/3
y+1/3,z+2/3,x+2/3
-y+1/3,-z+2/3,-x+2/3
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-z+1/2,-y+1/2,-x+1/2
z+2/3,x+1/3,y+1/3
-z+2/3,-x+1/3,-y+1/3
y+2/3,z+1/3,x+1/3
-y+2/3,-z+1/3,-x+1/3
y+5/6,x+1/6,z+1/6
-y+5/6,-x+1/6,-z+1/6
x+5/6,z+1/6,y+1/6
-x+5/6,-z+1/6,-y+1/6
z+5/6,y+1/6,x+1/6
-z+5/6,-y+1/6,-x+1/6
*** Table Symmetries for R-3cr ***
x,y,z
-x,-y,-z
z,x,y
-z,-x,-y
y,z,x
-y,-z,-x
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2

 ***** COD 2105672 : Pmn21 (original: ) *****
*** COD Symmetries ***
x,y,z
y,x,z			// dubious list ?
-x+1/4,-y+3/4,z+1/2
-y+1/4,-x+3/4,z+1/2
x+1/2,y+1/2,z
y+1/2,x+1/2,z
-x+3/4,-y+1/4,z+1/2
-y+3/4,-x+1/4,z+1/2
*** Table Symmetries for Pmn21 ***
x,y,z
-x,y,z
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2

 ***** COD 2106703 : F1d1 (original: C1c1) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,y+1/2,z+1/2
x+1/4,-y,z+1/4		// non-standard setting?
x+1/4,-y+1/2,z+3/4
x+1/2,y,z+1/2
x+1/2,y+1/2,z
x+3/4,-y,z+3/4
x+3/4,-y+1/2,z+1/4
*** Table Symmetries for F1d1 ***
x,y,z
x,y+1/2,z+1/2
x+1/4,-y+1/4,z+1/4
x+1/2,y,z+1/2
x+1/4,-y+3/4,z+3/4
x+1/2,y+1/2,z
x+3/4,-y+1/4,z+3/4
x+3/4,-y+3/4,z+1/4

 ***** COD 2107470 : R-3m:H (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z		// R:H translations missing.
-x+y,y,z
x-y,-y,-z
x,x-y,z
y,x,-z
-y,x-y,z
x-y,x,-z
-x,-x+y,-z
-x+y,-x,z
y,-x+y,-z
-y,-x,z
*** Table Symmetries for R-3m:H ***
x,y,z
-x,-y,-z
-x+y,y,z
x-y,-y,-z
x,x-y,z
y,x,-z
-y,x-y,z
x-y,x,-z
-x,-x+y,-z
-x+y,-x,z
y,-x+y,-z
-y,-x,z
x+1/3,y+2/3,z+2/3
-x+1/3,-y+2/3,-z+2/3
-x+y+1/3,y+2/3,z+2/3
x-y+1/3,-y+2/3,-z+2/3
x+1/3,x-y+2/3,z+2/3
y+1/3,x+2/3,-z+2/3
-y+1/3,x-y+2/3,z+2/3
x-y+1/3,x+2/3,-z+2/3
-x+1/3,-x+y+2/3,-z+2/3
-x+y+1/3,-x+2/3,z+2/3
y+1/3,-x+y+2/3,-z+2/3
-y+1/3,-x+2/3,z+2/3
x+2/3,y+1/3,z+1/3
-x+2/3,-y+1/3,-z+1/3
-x+y+2/3,y+1/3,z+1/3
x-y+2/3,-y+1/3,-z+1/3
x+2/3,x-y+1/3,z+1/3
y+2/3,x+1/3,-z+1/3
-y+2/3,x-y+1/3,z+1/3
x-y+2/3,x+1/3,-z+1/3
-x+2/3,-x+y+1/3,-z+1/3
-x+y+2/3,-x+1/3,z+1/3
y+2/3,-x+y+1/3,-z+1/3
-y+2/3,-x+1/3,z+1/3

 ***** COD 2300547 : P12/c1 (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
x,-y,z+1/2
-x,y,-z+1/2
x,y+1/2,z			// meaningless translation 0 1/2 0 added?
-x,-y+1/2,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
*** Table Symmetries for P12/c1 ***
x,y,z
-x,-y,-z
x,-y,z+1/2
-x,y,-z+1/2

 ***** COD 2310762 : Cmm2 (original: ) *****
*** COD Symmetries ***
x,y,z
x,-y,z				// dubious list ?
x,y,-z
x,-y,-z
x,y+1/2,z+1/2
x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
x+1/2,y,z
x+1/2,-y,z
x+1/2,y,-z
x+1/2,-y,-z
x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
x+1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Cmm2 ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,-y+1/2,z

 ***** COD 2310763 : P4bm (original: X4bm) ***** + 3 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z
-y,x,z
y,-x,z
x,y,z+1/2
-x,-y,z+1/2
-y,x,z+1/2
y,-x,z+1/2
-x+1/2,y+1/2,z		// C translation added, inconsistent with P Bravais type
x+1/2,-y+1/2,z
y+1/2,x+1/2,z
-y+1/2,-x+1/2,z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
y+1/2,x+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
*** Table Symmetries for P4bm ***
x,y,z
-x,-y,z
-y,x,z
y,-x,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
y+1/2,x+1/2,z
-y+1/2,-x+1/2,z

 ***** COD 2310775 : Pmma (original: ) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
-x,y,z			// non-standard settings ?
x,y,-z
-x,y,-z
x+1/2,y,z
-x+1/2,y,z
x+1/2,y,-z
-x+1/2,y,-z
*** Table Symmetries for Pmma ***
x,y,z
x,-y,z
-x,y,-z
-x,-y,-z
-x+1/2,y,z
-x+1/2,-y,z
x+1/2,y,-z
x+1/2,-y,-z

 ***** COD 2312010 : Cmce (original: Cmca) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
x,-y,z+1/2		// non-standard settings ?
-x,y,-z+1/2
-x,y+1/2,z
x,-y+1/2,-z
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
-x+1/2,y,z
x+1/2,-y,-z
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2
*** Table Symmetries for Cmce ***
x,y,z
-x,y,z			// unsafe data (tabulated by ICDD)
x,-y,-z
-x,-y,-z
x,-y+1/2,z+1/2
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
-x,y+1/2,-z+1/2
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
-x+1/2,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 4000133 : P1 (original: P-1) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z		// not in P1
*** Table Symmetries for P1 ***
x,y,z

 ***** COD 4002628 : Pmmm (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
x,y+1/2,z	// consistent with F Bravais type, not P
-x,y+1/2,z
x,-y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
-x,y+1/2,-z
x,-y+1/2,-z
-x,-y+1/2,-z
x+1/2,y,z
-x+1/2,y,z
x+1/2,-y,z
-x+1/2,-y,z
x+1/2,y,-z
-x+1/2,y,-z
x+1/2,-y,-z
-x+1/2,-y,-z
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,-y+1/2,z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z
*** Table Symmetries for Pmmm ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z

 ***** COD 4003886 : Pmnm (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z			// Pmnm o1
x,y,-z
-x,y,-z
x+1/2,-y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,-y,-z+1/2
-x+1/2,-y,-z+1/2
*** Table Symmetries for Pmnm ***
x,y,z
-x,-y,-z		// actually Pmnm o2
-x,-y,z+1/2
x,y,-z+1/2
-x+1/2,y,z
x+1/2,-y,-z
x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2

 ***** COD 4026566 : P42/n (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z		// P 42 / n with origin at -1 and 42 / n at 1/4,1/4,0
-y,x-1/2,-z-1/2
y,-x+1/2,z+1/2
-y+1/2,x,z+1/2
y-1/2,-x,-z-1/2
-x+1/2,-y+1/2,z
x-1/2,y-1/2,-z
*** Table Symmetries for P42/n ***
x,y,z
-x,-y,z			// P 42 / n with origin at -4 and -1 at 1/4,1/4,1/4 (standard setting)
-y,x,-z
y,-x,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
y+1/2,-x+1/2,z+1/2

 ***** COD 4089337 : P1n1 (original: Pn) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
x+1/2,-y+1/2,z+1/2	// in standard setting: x+1/2,-y,z+1/2
,-y,			// invalid string
*** Table Symmetries for P1n1 ***
x,y,z
x+1/2,-y,z+1/2

 ***** COD 4132332 : P21/n (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x+1/2,y+1/2,z+1/2	// non-standard settings ?
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for P21/n ***
x,y,z
-x,-y,-z
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2

 ***** COD 4134367 : C1c1 (original: Cc) *****
*** COD Symmetries ***
x,y,z
x,y,z			// duplicated (4 duplicates total)
x,-y,z+1/2
x,-y,z+1/2
x+1/2,y+1/2,z
x+1/2,y+1/2,z
x+1/2,-y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
*** Table Symmetries for C1c1 ***
x,y,z
x,-y,z+1/2
x+1/2,y+1/2,z
x+1/2,-y+1/2,z+1/2

 ***** COD 4134531 : Pm (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,y,-z			// p11m ? or non-standard settings
*** Table Symmetries for Pm ***
x,y,z
x,-y,z			// standard setting (unique axis = y) for p1m1

 ***** COD 4305544 : P21/c11 (original: P121/c1) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x-1/2,y,z-1/2		// non-standard settings
x+1/2,-y,-z+1/2
*** Table Symmetries for P21/c11 ***
x,y,z
-x,-y,-z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z

 ***** COD 4501769 : P31 (original: ) *****
*** COD Symmetries ***
x,y,z			// missing symmetries
*** Table Symmetries for P31 ***
x,y,z
-y,x-y,z+1/3
-x+y,-x,z+2/3

 ***** COD 4508489 : P12/n1 (original: ) *****
*** COD Symmetries ***
x,-y,-z			// dubious list, missing identity, not y axis?
x,-y,z+1/2
-x,y,-z+1/2
*** Table Symmetries for P12/n1 ***
x,y,z
-x,-y,-z
x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2

 ***** COD 7051454 : Pc21b (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,z+1/2		// non-standard settings?
x,-y+1/2,-z
-x,y+1/2,-z+1/2
*** Table Symmetries for Pc21b ***
x,y,z
-x,y,z+1/2
-x,y+1/2,-z
x,y+1/2,-z+1/2

 ***** COD 7105575 : Pbam (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z			// non-standard setting ?
x,-y,z
-x,-y,z
x,y,-z
-x,y,-z
x,-y,-z
-x,-y,-z
*** Table Symmetries for Pbam ***
x,y,z
-x,-y,z
x,y,-z
-x,-y,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z

 ***** COD 7234258 : P63mc (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z			// non-standard settings ? or some other group
-x+y,y,z
x-y,-y,z
x,x-y,z
y,x,z
x-y,x,z
-y,x-y,z
-x,-x+y,z
-x+y,-x,z
y,-x+y,z
-y,-x,z
*** Table Symmetries for P63mc ***
x,y,z
-x+y,y,z
x,x-y,z
-y,x-y,z
-x+y,-x,z
-y,-x,z
-x,-y,z+1/2
x-y,-y,z+1/2
y,x,z+1/2
x-y,x,z+1/2
-x,-x+y,z+1/2
y,-x+y,z+1/2

 ***** COD 7706956 : R3:H (original: R3) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
x,y,z			// duplicated (9 duplicates total)
-y,x-y,z
-y,x-y,z
-x+y,-x,z
-x+y,-x,z
x+1/3,y+2/3,z+2/3
x+1/3,y+2/3,z+2/3
-y+1/3,x-y+2/3,z+2/3
-y+1/3,x-y+2/3,z+2/3
-x+y+1/3,-x+2/3,z+2/3
-x+y+1/3,-x+2/3,z+2/3
x+2/3,y+1/3,z+1/3
x+2/3,y+1/3,z+1/3
-y+2/3,x-y+1/3,z+1/3
-y+2/3,x-y+1/3,z+1/3
-x+y+2/3,-x+1/3,z+1/3
-x+y+2/3,-x+1/3,z+1/3
*** Table Symmetries for R3:H ***
x,y,z
-y,x-y,z
-x+y,-x,z
x+1/3,y+2/3,z+2/3
-y+1/3,x-y+2/3,z+2/3
-x+y+1/3,-x+2/3,z+2/3
x+2/3,y+1/3,z+1/3
-y+2/3,x-y+1/3,z+1/3
-x+y+2/3,-x+1/3,z+1/3

 ***** COD 7708643 : Pbcm (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,y,z			// duplicated (8 duplicates total)
-x,-y,-z
-x,-y,-z
-x,-y,z+1/2
-x,-y,z+1/2
x,y,-z-1/2
x,y,-z-1/2
-x,y-1/2,z
-x,y-1/2,z
x,-y+1/2,-z
x,-y+1/2,-z
x,-y-1/2,z-1/2
x,-y-1/2,z-1/2
-x,y+1/2,-z+1/2
-x,y+1/2,-z+1/2
*** Table Symmetries for Pbcm ***
x,y,z
-x,-y,-z
-x,-y,z+1/2
x,y,-z+1/2
-x,y+1/2,z
x,-y+1/2,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2

 ***** COD 8101487 : I43 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,z			// non-standard settings ?
-y,x+1/2,z+3/4
y,-x+1/2,z+3/4
-y+1/2,x,z+1/4
y+1/2,-x,z+1/4
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for I43 ***
x,y,z
y,-x,z+1/4
-x,-y,z+1/2
-y,x,z+3/4
-x+1/2,-y+1/2,z
-y+1/2,x+1/2,z+1/4
x+1/2,y+1/2,z+1/2
y+1/2,-x+1/2,z+3/4

 ***** COD 9000465 : Pbc21 (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,-y+2/3,z+1/2		// dubious offset 2/3 in orthorhombic group
-x+1/2,-y+1/6,z+1/2
-x+1/2,y+1/2,z
*** Table Symmetries for Pbc21 ***
x,y,z
-x,-y,z+1/2
-x,y+1/2,z
x,-y+1/2,z+1/2

 ***** COD 9000775 : P3221 (original: ) ***** + 33 other(s)
*** COD Symmetries ***
x,y,z
x-y,-y,-z		// non-standard settings or other group ?
-x,-x+y,-z+1/3
-x+y,-x,z+1/3
y,x,-z+2/3
-y,x-y,z+2/3
*** Table Symmetries for P3221 ***
x,y,z
y,x,-z
x-y,-y,-z+1/3
-x+y,-x,z+1/3
-y,x-y,z+2/3
-x,-x+y,-z+2/3

 ***** COD 9001177 : Ccmb (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z		// non-standard settings ?
-x,y,z+1/2
x,-y,-z+1/2
x,-y+1/2,z
-x,y+1/2,-z
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
x+1/2,-y,z
-x+1/2,y,-z
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for Ccmb ***
x,y,z
x,-y,z
-x,y,-z
-x,-y,-z
-x,y+1/2,z+1/2
-x,-y+1/2,z+1/2
x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
-x+1/2,y,z+1/2
-x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,-y,-z+1/2
x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 9001707 : P21cn (original: ) ***** + 10 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z+1/2		// non-standard settings ?
x+1/2,-y+1/2,-z
x+1/2,y+1/2,-z+1/2
*** Table Symmetries for P21cn ***
x,y,z
x,-y+1/2,z+1/2
x+1/2,-y,-z
x+1/2,y+1/2,-z+1/2

 ***** COD 9001751 : I12/a1 (original: ) ***** + 5 other(s)
*** COD Symmetries ***
x,y,z
-x,y,-z+1/2		// non-standard settings ?
-x,-y+1/2,-z
x,-y+1/2,z+1/2
x+1/2,-y,z
-x+1/2,-y,-z+1/2
-x+1/2,y+1/2,-z
x+1/2,y+1/2,z+1/2
*** Table Symmetries for I12/a1 ***
x,y,z
-x,-y,-z
x,-y+1/2,z+1/2
-x,y+1/2,-z+1/2
x+1/2,-y,z
-x+1/2,y,-z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2

 ***** COD 9002659 : P42/nbc (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,z
-x,y,-z				// non-standard settings ?
x,-y,-z
y,x,z+1/2
-y,x,-z+1/2
y,-x,-z+1/2
-y,-x,z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z
y+1/2,x+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
y+1/2,-x+1/2,z+1/2
-y+1/2,-x+1/2,-z+1/2
*** Table Symmetries for P42/nbc ***
x,y,z
-x,-y,z
-y,x,-z
y,-x,-z
-x,y,-z+1/2
x,-y,-z+1/2
y,x,z+1/2
-y,-x,z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
y+1/2,-x+1/2,z+1/2

 ***** COD 9004170 : F12/d1 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z+1/2			// non-standard settings ?
-x,-y+1/2,-z
x,y+1/2,z+1/2
x+1/4,-y,z+1/4
-x+1/4,y,-z+3/4
-x+1/4,y+1/2,-z+1/4
x+1/4,-y+1/2,z+3/4
-x+1/2,-y,-z
x+1/2,y,z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z+1/2
-x+3/4,y,-z+1/4
x+3/4,-y,z+3/4
x+3/4,-y+1/2,z+1/4
-x+3/4,y+1/2,-z+3/4
*** Table Symmetries for F12/d1 ***
x,y,z
-x,-y,-z
x,y+1/2,z+1/2
-x,-y+1/2,-z+1/2
x+1/4,-y,z+1/4
-x+1/4,y,-z+1/4
x+1/4,-y+1/2,z+3/4
-x+1/4,y+1/2,-z+3/4
x+1/2,y,z+1/2
-x+1/2,-y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
x+3/4,-y,z+3/4
-x+3/4,y,-z+3/4
x+3/4,-y+1/2,z+1/4
-x+3/4,y+1/2,-z+1/4

 ***** COD 9004619 : Cmmb (original: ) *****
*** COD Symmetries ***
x,y,z
x,-y,z				// non-standard settings ?
-x,y,-z
-x,-y,-z
-x,y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
x,-y+1/2,-z
-x+1/2,y,z
-x+1/2,-y,z
x+1/2,y,-z
x+1/2,-y,-z
x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,-z
*** Table Symmetries for Cmmb ***
x,y,z
-x,y,z
x,-y,-z
-x,-y,-z
x,-y+1/2,z
-x,-y+1/2,z
x,y+1/2,-z
-x,y+1/2,-z
x+1/2,-y,z
-x+1/2,-y,z
x+1/2,y,-z
-x+1/2,y,-z
x+1/2,y+1/2,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,-z

 ***** COD 9005040 : Pm11 (original: ) *****
*** COD Symmetries ***
x,y,z
-x+1/2,y,z			// non-standard settings ?
*** Table Symmetries for Pm11 ***
x,y,z
-x,y,z

 ***** COD 9005117 : C1121 (original: ) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
-x,-y+1/2,z+1/2
-x+1/2,-y,z+1/2			// non-standard settings ?
x+1/2,y+1/2,z
*** Table Symmetries for C1121 ***
x,y,z
-x,-y,z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,z+1/2

 ***** COD 9005877 : P213 (original: ) ***** + 2 other(s)
*** COD Symmetries ***
x,y,z
z,x,y
y,z,x
-x,-y+1/2,z+1/2			// non-standard settings ?
-z,-x+1/2,y+1/2
-y,-z+1/2,x+1/2
x+1/2,-y,-z+1/2
z+1/2,-x,-y+1/2
y+1/2,-z,-x+1/2
-x+1/2,y+1/2,-z
-z+1/2,x+1/2,-y
-y+1/2,z+1/2,-x
*** Table Symmetries for P213 ***
x,y,z
z,x,y
y,z,x
-x,y+1/2,-z+1/2
-z,x+1/2,-y+1/2
-y,z+1/2,-x+1/2
-x+1/2,-y,z+1/2
-z+1/2,-x,y+1/2
-y+1/2,-z,x+1/2
x+1/2,-y+1/2,-z
z+1/2,-x+1/2,-y
y+1/2,-z+1/2,-x

 ***** COD 9006413 : P6222 (original: ) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z
x,x-y,-z
-x,-x+y,-z			// non-standard settings ?
y,x,-z+1/3
x-y,x,z+1/3
-x+y,-x,z+1/3
-y,-x,-z+1/3
-x+y,y,-z+2/3
x-y,-y,-z+2/3
-y,x-y,z+2/3
y,-x+y,z+2/3
*** Table Symmetries for P6222 ***
x,y,z
-x,-y,z
-x+y,y,-z
x-y,-y,-z
x,x-y,-z+1/3
x-y,x,z+1/3
-x,-x+y,-z+1/3
-x+y,-x,z+1/3
y,x,-z+2/3
-y,x-y,z+2/3
y,-x+y,z+2/3
-y,-x,-z+2/3

 ***** COD 9006967 : C1211 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,z+1/2			// non-standard settings ?
x+1/2,y+1/2,z
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for C1211 ***
x,y,z
-x,y+1/2,-z
-x+1/2,y,-z
x+1/2,y+1/2,z

 ***** COD 9008050 : P3121 (original: ) ***** + 4 other(s)
*** COD Symmetries ***
x,y,z
x-y,-y,-z			// non-standard settings ?
y,x,-z+1/3
-y,x-y,z+1/3
-x,-x+y,-z+2/3
-x+y,-x,z+2/3
*** Table Symmetries for P3121 ***
x,y,z
y,x,-z
-y,x-y,z+1/3
-x,-x+y,-z+1/3
x-y,-y,-z+2/3
-x+y,-x,z+2/3

 ***** COD 9009260 : P63 (original: ) *****
*** COD Symmetries ***
x,y,z
-y,x-y,z
-x+y,-x,z
-x+2/3,-y+1/3,z+1/2		// dubious offset 2/3,1/3,1/2
x-y+2/3,x+1/3,z+1/2
y+2/3,-x+y+1/3,z+1/2
*** Table Symmetries for P63 ***
x,y,z
-y,x-y,z
-x+y,-x,z
-x,-y,z+1/2
x-y,x,z+1/2
y,-x+y,z+1/2

 ***** COD 9010411 : I12/m1 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z		// non-standard settings ?
x,-y+1/2,z
-x,y+1/2,-z
x+1/2,-y,z+1/2
-x+1/2,y,-z+1/2
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for I12/m1 ***
x,y,z
x,-y,z
-x,y,-z
-x,-y,-z
x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2

 ***** COD 9011014 : I12/c1 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,-z+1/2		// non-standard settings ?
-x,-y+1/2,-z
x,-y+1/2,z+1/2
x+1/2,-y,z
-x+1/2,-y,-z+1/2
-x+1/2,y+1/2,-z
x+1/2,y+1/2,z+1/2
*** Table Symmetries for I12/c1 ***
x,y,z
-x,-y,-z
x,-y,z+1/2
-x,y,-z+1/2
x+1/2,-y+1/2,z
-x+1/2,y+1/2,-z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,-z+1/2

 ***** COD 9011487 : C1121/d (original: ) *****
*** COD Symmetries ***
x,y,z
-x,-y,-z
-x+1/4,-y+1/4,z+1/2	// non-standard settings ?
x+1/4,y+1/4,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
-x+3/4,-y+3/4,z+1/2
x+3/4,y+3/4,-z+1/2
*** Table Symmetries for C1121/d ***
x,y,z
-x,-y,-z
-x+1/4,-y+3/4,z+1/2
x+1/4,y+3/4,-z+1/2
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z
-x+3/4,-y+1/4,z+1/2
x+3/4,y+1/4,-z+1/2

 ***** COD 9012181 : I212121 (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,-y,z			// non-standard settings ?
-x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
-x+1/2,y,-z
x+1/2,-y,-z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for I212121 ***
x,y,z
x,-y,-z+1/2
-x,-y+1/2,z
-x,y+1/2,-z+1/2
-x+1/2,y,-z
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z
x+1/2,y+1/2,z+1/2

 ***** COD 9012183 : I2mb (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
x,-y,z			// non-standard settings ?
x,y+1/2,-z+1/2
x,-y+1/2,-z+1/2
x+1/2,y,-z
x+1/2,-y,-z
x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
*** Table Symmetries for I2mb ***
x,y,z
x,-y,-z
x,-y+1/2,z
x,y+1/2,-z
x+1/2,-y,z+1/2
x+1/2,y,-z+1/2
x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2

 ***** COD 9012312 : P42/nmc (original: ) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-y,-x,-z		// non-standard settings (neither o1 nor o2)
-x,-y,-z+1/2
y,x,z+1/2
x,-y+1/2,z
-y,x+1/2,-z
-x,y+1/2,-z+1/2
y,-x+1/2,z+1/2
-x+1/2,y,z
y+1/2,-x,-z
x+1/2,-y,-z+1/2
-y+1/2,x,z+1/2
-x+1/2,-y+1/2,z
y+1/2,x+1/2,-z
x+1/2,y+1/2,-z+1/2
-y+1/2,-x+1/2,z+1/2
*** Table Symmetries for P42/nmc ***
x,y,z
-x,y,z
x,-y,z
-x,-y,z
y,x,-z
-y,x,-z
y,-x,-z
-y,-x,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,-y+1/2,-z+1/2
y+1/2,x+1/2,z+1/2
-y+1/2,x+1/2,z+1/2
y+1/2,-x+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2

 ***** COD 9013937 : Pb21m (original: ) *****
*** COD Symmetries ***
x,y,z
x,y,-z+1/2			// dubious offsets or non-standard settings
-x+1/2,y+1/2,z
-x+1/2,y+1/2,-z+1/2
*** Table Symmetries for Pb21m ***
x,y,z
x,y,-z
-x,y+1/2,z
-x,y+1/2,-z

 ***** COD 9014871 : Pca21 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z+1/2			// non-standard settings
x+1/2,-y+1/2,z
-x+1/2,-y+1/2,z+1/2
*** Table Symmetries for Pca21 ***
x,y,z
-x,-y,z+1/2
x+1/2,-y,z
-x+1/2,y,z+1/2

 ***** COD 9015674 : Ima2 (original: ) *****
*** COD Symmetries ***
x,y,z
-x,y,z				// non-standard settings
x,-y,z+1/2
-x,-y,z+1/2
x+1/2,-y+1/2,z
-x+1/2,-y+1/2,z
x+1/2,y+1/2,z+1/2
-x+1/2,y+1/2,z+1/2
*** Table Symmetries for Ima2 ***
x,y,z
-x,-y,z
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2
-x+1/2,y,z
x+1/2,-y,z
x+1/2,y+1/2,z+1/2
-x+1/2,-y+1/2,z+1/2

 ***** COD 9017229 : P4212 (original: P4212) *****
*** COD Symmetries ***
x,y,z
-y,-x,-z
-x,y+1/2,-z		// non-standard settings
y,-x+1/2,z
x+1/2,-y,-z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y+1/2,x+1/2,-z
*** Table Symmetries for P4212 ***
x,y,z
-x,-y,z
y,x,-z
-y,-x,-z
-x+1/2,y+1/2,-z
x+1/2,-y+1/2,-z
-y+1/2,x+1/2,z
y+1/2,-x+1/2,z

 ***** COD 9017293 : C2221 (original: C2221) ***** + 1 other(s)
*** COD Symmetries ***
x,y,z
-x,y,-z			// non-standard settings
-x,-y,z+1/2
x,-y,-z+1/2
x+1/2,y+1/2,z
-x+1/2,y+1/2,-z
-x+1/2,-y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
*** Table Symmetries for C2221 ***
x,y,z
x,-y,-z
-x,-y,z+1/2
-x,y,-z+1/2
x+1/2,y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,-y+1/2,z+1/2
-x+1/2,y+1/2,-z+1/2