P1 C11 1 Triclinic info
No. 1 P1 Patterson symmetry P-1

symmetry group diagram

Origin arbitrary

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

Symmetry operations

(1)  1      

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
 General:
1 a 1
(1) xyz
no conditions

Symmetry of special projections

Along [001]   p1
a' = ap   b' = bp   
Origin at 0, 0, z
Along [100]   p1
a' = bp   b' = cp   
Origin at x, 0, 0
Along [010]   p1
a' = cp   b' = ap   
Origin at 0, y, 0

Maximal non-isomorphic subgroups

I none
IIa none
IIbnone

Maximal isomorphic subgroups of lowest index

IIc[2] P1 (a' = 2a or b' = 2b or c' = 2c or b' = b + cc' = -b + c or a' = a - cc' = a + c or a' = a + bb' = -a + b or a' = b + cb' = a + cc' = a + b) (1)

Minimal non-isomorphic supergroups

I[2] P-1 (2); [2] P2 (3); [2] P21 (4); [2] C2 (5); [2] Pm (6); [2] Pc (7); [2] Cm (8); [2] Cc (9); [3] P3 (143); [3] P31 (144); [3] P32 (145); [3] R3 (146)
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