Immm No. 71 I2/m2/m2/m D2h25


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f 4g 4h 4i 4j 8k 8l
8m 8n 16o
I Maximal translationengleiche subgroups
[2] I2mm (44) 2a 2a 2b 2b 2 × 2a 2 × 2b 4c 4c 4d 4d 8e 8e
[conventional setting]Imm2 b, c, a y, z, x 2 × 4d 2 × 4c 2 × 8e
[2] Im2m (44) 2a 2b 2b 2a 4d 4d 2 × 2a 2 × 2b 4c 4c 8e 2 × 4c
[conventional setting]Imm2 c, a, b z, x, y 8e 2 × 4d 2 × 8e
[2] Imm2 (44) 2a 2b 2a 2b 4c 4c 4d 4d 2 × 2a 2 × 2b 8e 2 × 4d
2 × 4c 8e 2 × 8e
[2] I222 (23) 2a 2b 2c 2d 4e 4f 4g 4h 4i 4j 8k 8k
8k 8k 2 × 8k
[2] I2/m11 (12) 2a 2b 2c 2d 4g 4h 4i 4i 4i 4i 4e; 4f 2 × 4i
[conventional setting]I12/m1 c, a, b z, x, y 8j 8j 2 × 8j
[conventional setting]C12/m1 -b - c, a, c -y, x, -y + z
[2] I12/m1 (12) 2a 2c 2d 2b 4i 4i 4g 4h 4i 4i 4e; 4f 8j
[conventional setting]C12/m1 -a - c, b, a -z, y, x - z 2 × 4i 8j 2 × 8j
[2] I112/m (12) 2a 2d 2b 2c 4i 4i 4i 4i 4g 4h 4e; 4f 8j
[conventional setting]A112/m b, -a - b, c -x + y, -x, z 8j 2 × 4i 2 × 8j
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pmmn (59) origin 1: x, y, z + (1/4) 2a 2b 2a 2b 4f 4f 4e 4e 2 × 2a 2 × 2b 4c; 4d 2 × 4e
origin 2: x + (1/4), y + (1/4), z + (1/4) 2 × 4f 8g 2 × 8g
[2] Pmnm (59) origin 1: x, y + (1/4), z 2a 2b 2b 2a 4e 4e 2 × 2a 2 × 2b 4f 4f 4c; 4d 2 × 4f
origin 2: x + (1/4), y + (1/4), z + (1/4) 8g 2 × 4e 2 × 8g
[conventional setting]Pmmn c, a, b z, x, y + (1/4)(origin 1)
z + (1/4), x + (1/4), y + (1/4)
(origin 2)
[2] Pnmm (59) origin 1: x + (1/4), y, z 2a 2a 2b 2b 2 × 2a 2 × 2b 4f 4f 4e 4e 4c; 4d 8g
origin 2: x + (1/4), y + (1/4), z + (1/4) 2 × 4e 2 × 4f 2 × 8g
[conventional setting]Pmmn b, c, a y, z, x + (1/4)(origin 1)
y + (1/4), z + (1/4), x + (1/4)
(origin 2)
[2] Pnnm (58) 2a 2d 2b 2c 4g 4g 4g 4g 4e 4f 8h 8h
8h 2 × 4g 2 × 8h
[2] Pnmn (58) 2a 2c 2d 2b 4g 4g 4e 4f 4g 4g 8h 8h
[conventional setting]Pnnm c, a, b z, x, y 2 × 4g 8h 2 × 8h
[2] Pmnn (58) 2a 2b 2c 2d 4e 4f 4g 4g 4g 4g 8h 2 × 4g
[conventional setting]Pnnm b, c, a y, z, x 8h 8h 2 × 8h
[2] Pnnn (48) origin 1: x, y, z 2a 2b 2c 2d 4g 4h 4i 4j 4k 4l 4e; 4f 8m
origin 2: x + (1/4), y + (1/4), z + (1/4) 8m 8m 2 × 8m
[2] Pmmm (47) 1a; 1h 1b; 1g 1c; 1f 1d; 1e 2i; 2l 2j; 2k 2m; 2p 2n; 2o 2q; 2t 2r; 2s 8[alpha] 4u; 4v
4w; 4x 4y; 4z 2 × 8[alpha]


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f 4g 4h 4i 4j
8k 8l 8m 8n 16o
   Enlarged unit cell, isomorphic
[3] Immm 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4e 2b; 4e 2c; 4f 2d; 4f 3 × 4e 3 × 4f 4g; 8n 4h; 8n 4i; 8m 4j; 8m
8k; 16o 8l; 16o 3 × 8m 3 × 8n 3 × 16o
[p] Immm pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; 2b; 2c; 2d; p × 4e p × 4f 4g; 4h; 4i; 4j;
p = prime > 2; ((p - 1)/2) × 4e ((p - 1)/2) × 4e ((p - 1)/2) × 4f ((p - 1)/2) × 4f ((p - 1)/2) × 8n ((p - 1)/2) × 8n ((p - 1)/2) × 8m ((p - 1)/2) × 8m
u = 1, . . ., p - 1 8k; 8l; p × 8m p × 8n p × 16o
((p - 1)/2) × 16o ((p - 1)/2) × 16o
[3] Immm a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4g 2b; 4h 2c; 4h 2d; 4g 4e; 8n 4f; 8n 3 × 4g 3 × 4h 4i; 8l 4j; 8l
8k; 16o 3 × 8l 8m; 16o 3 × 8n 3 × 16o
[p] Immm a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; 2b; 2c; 2d; 4e; 4f; p × 4g p × 4h 4i; 4j;
p = prime > 2; ((p - 1)/2) × 4g ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 4g ((p - 1)/2) × 8n ((p - 1)/2) × 8n ((p - 1)/2) × 8l ((p - 1)/2) × 8l
u = 1, . . ., p - 1 8k; p × 8l 8m; p × 8n p × 16o
((p - 1)/2) × 16o ((p - 1)/2) × 16o
[3] Immm a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 2a; 4i 2b; 4j 2c; 4i 2d; 4j 4e; 8m 4f; 8m 4g; 8l 4h; 8l 3 × 4i 3 × 4j
8k; 16o 3 × 8l 3 × 8m 8n; 16o 3 × 16o
[p] Immm a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; 2b; 2c; 2d; 4e; 4f; 4g; 4h; p × 4i p × 4j
p = prime > 2; ((p - 1)/2) × 4i ((p - 1)/2) × 4j ((p - 1)/2) × 4i ((p - 1)/2) × 4j ((p - 1)/2) × 8m ((p - 1)/2) × 8m ((p - 1)/2) × 8l ((p - 1)/2) × 8l
u = 1, . . ., p - 1 8k; p × 8l p × 8m 8n; p × 16o
((p - 1)/2) × 16o ((p - 1)/2) × 16o









































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