I41md No. 109 I41md C4v11

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 (0, 0, 0)+  (1/21/21/2)+  
16 c 1
(1) xyz(2) -x + 1/2-y + 1/2z + 1/2(3) -yx + 1/2z + 1/4(4) y + 1/2-xz + 3/4
(5) x-yz(6) -x + 1/2y + 1/2z + 1/2(7) -y-x + 1/2z + 1/4(8) y + 1/2xz + 3/4

I Maximal translationengleiche subgroups

[2] I4111 (80I41)(1; 2; 3; 4)+
[2] I2m1 (44Imm2)(1; 2; 5; 6)+
[2] I21d (43Fdd2)(1; 2; 7; 8)+a - ba + bc 0, 1/2, 0

II Maximal klassengleiche subgroups

none

[3] c' = 3c

I41md (109)<5; 2 + (1, 0, 1); 3 + (1/2, -1/21/2)>ab, 3c1/2, 0, 0

[p] c' = pc


I41md (109)<5; 2 + (1, 0, p/2 - 1/2); 3 + (1/2, -1/2p/4 - 1/4)>abpc1/2, 0, 0
 p > 2; p ≡ 3 (mod 4)
no conjugate subgroups

[p] c' = pc


I41md (109)<5; 2 + (0, 0, p/2 - 1/2); 3 + (0, 0, p/4 - 1/4)>abpc
 p > 4; p ≡ 1 (mod 4)
no conjugate subgroups

[p2] a' = pa, b' = pb


I41md (109)<2 + (p/2 - 1/2 + 2up/2 - 1/2 + 2v, 0); 3 + (u + vp/2 - 1/2 - u + v, 0); 5 + (0, 2v, 0)>papbcuv, 0
 p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p

I Minimal translationengleiche supergroups

[2] I41/amd (141)

II Minimal non-isomorphic klassengleiche supergroups

none
[2] c' = 1/2c  C42md (102, P42nm)








































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