P-1 Ci1 -1 Triclinic info
No. 2 P-1 Patterson symmetry P-1

symmetry group diagram

Origin at -1

Asymmetric unit 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1

Symmetry operations

(1)  1   (2)  -1   0, 0, 0  

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
2 i 1
(1) x, y, z(2) -x, -y, -z
no conditions
    Special: as above, plus
1 h  -1 
1/2, 1/2, 1/2
no extra conditions
1 g  -1 
0, 1/2, 1/2
no extra conditions
1 f  -1 
1/2, 0, 1/2
no extra conditions
1 e  -1 
1/2, 1/2, 0
no extra conditions
1 d  -1 
1/2, 0, 0
no extra conditions
1 c  -1 
0, 1/2, 0
no extra conditions
1 b  -1 
0, 0, 1/2
no extra conditions
1 a  -1 
0, 0, 0
no extra conditions

Symmetry of special projections

Along [001]   p2
a' = ap   b' = bp   
Origin at 0, 0, z		Along [100]   p2
a' = bp   b' = cp   
Origin at x, 0, 0		Along [010]   p2
a' = cp   b' = ap   
Origin at 0, y, 0

Maximal non-isomorphic subgroups

I [2] P1 (1)1
IIa none
IIbnone

Maximal isomorphic subgroups of lowest index

IIc[2] P-1 (a' = 2a or b' = 2b or c' = 2c or b' = b + c, c' = -b + c or a' = a - c, c' = a + c or a' = a + b, b' = -a + b or a' = b + c, b' = a + c, c' = a + b) (2)

Minimal non-isomorphic supergroups

I[2] P2/m (10); [2] P21/m (11); [2] C2/m (12); [2] P2/c (13); [2] P21/c (14); [2] C2/c (15); [3] P-3 (147); [3] R-3 (148)
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