p4gm No. 12 p4gm

Generators selected (1); t(1, 0); t(0, 1); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates
 
8 d 1
(1) x, y(2) -x, -y(3) -y, x(4) y, -x
(5) -x + 1/2, y + 1/2(6) x + 1/2, -y + 1/2(7) y + 1/2, x + 1/2(8) -y + 1/2, -x + 1/2

I Maximal translationengleiche subgroups

[2] p411 (10, p4)1; 2; 3; 4
[2] p21m (9, c2mm)1; 2; 7; 8 a - b,  a + b 0, 1/2
[2] p2g1 (8, p2gg)1; 2; 5; 6

II Maximal klassengleiche subgroups

  • Enlarged unit cell
 none

[p2] a' = pa, b' = pb

p4gm (12)<2 + (2u, 2v); 3 + (u + v, -u + v); 5 + (p/2 - 1/2 + 2u, p/2 - 1/2)>pa, pbu, v
 p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p

I Minimal translationengleiche supergroups

none

II Minimal non-isomorphic klassengleiche supergroups

[2] c4gm (11, p4mm)
none








































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