[script p]-4 -4 Tetragonal
No. 27 [script p]-4 Patterson symmetry [script p]4/m

symmetry group diagram

Origin at -4

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2   0, 0, z
      (2z | 0, 0, 0)
(3)  -4+   0, 0, z; 0, 0, 0
      (-4z | 0, 0, 0)
(4)  -4-   0, 0, z; 0, 0, 0
      (-4z-1 | 0, 0, 0)

Generators selected (1); t(0, 0, 1); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

 General:
4 d 1
(1) xyz(2) -x-yz(3) y-x-z(4) -yx-z
no conditions
  Special: no extra conditions
2 c  2 . . 
0, 0, z0, 0, -z
1 b  -4 . . 
0, 0, 1/2
1 a  -4 . . 
0, 0, 0

Symmetry of special projections

Along [001]   4

Origin at 0, 0, z
Along [100]   [script p]11m
a' = c   
Origin at x, 0, 0
Along [110]   [script p]11m
a' = c   
Origin at xx, 0

Maximal non-isotypic non-enantiomorphic subgroups


I[2] [script p]112 (8)1; 2
IIa none
IIbnone

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index


IIc[2] [script p]-4 (c' = 2c) (27)

Minimal non-isotypic non-enantiomorphic supergroups


I[2] [script p]4/m (28); [2] [script p]42/m (29); [2] [script p]-42m (37); [2] [script p]-42c (38)
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