p2mg No. 7 p2mg

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

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 4 d 1
 (1) x, y (2) -x, -y (3) -x + 1/2, y (4) x + 1/2, -y

I Maximal translationengleiche subgroups

 [2] p11g (4, pg) 1; 4 -b,  a [2] p1m1 (3, pm) 1; 3 1/4, 0 [2] p211 (2, p2) 1; 2

II Maximal klassengleiche subgroups

• Enlarged unit cell

[2] b' = 2b

 p2gg (8) <2; 3 + (0, 1)> a, 2b p2gg (8) <(2; 3) + (0, 1)> a, 2b 0, 1/2 p2mg (7) <2; 3> a, 2b p2mg (7) <3; 2 + (0, 1)> a, 2b 0, 1/2

[3] a' = 3a

 p2mg (7) <2; 3 + (1, 0)> 3a, b p2mg (7) <2 + (2, 0); 3 + (3, 0)> 3a, b 1, 0 p2mg (7) <2 + (4, 0); 3 + (5, 0)> 3a, b 2, 0

[3] b' = 3b

 p2mg (7) <2; 3> a, 3b p2mg (7) <3; 2 + (0, 2)> a, 3b 0, 1 p2mg (7) <3; 2 + (0, 4)> a, 3b 0, 2
• Series of maximal isomorphic subgroups

[p] a' = pa

 p2mg (7) <2 + (2u, 0); 3 + (p/2 - 1/2 + 2u, 0)> pa, b u, 0 p > 2; 0 ≤ u < p p conjugate subgroups for the prime p

[p] b' = pb

 p2mg (7) <3; 2 + (0, 2u)> a, pb 0, u p > 2; 0 ≤ u < p p conjugate subgroups for the prime p

I Minimal translationengleiche supergroups

 none

II Minimal non-isomorphic klassengleiche supergroups