Pnnm No. 58 P21/n21/n2/m D2h12


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f 4g 8h
I Maximal translationengleiche subgroups
[2] Pnn2 (34) 2a 2a 2b 2b 2 × 2a 2 × 2b 4c 2 × 4c
[2] P21nm (31) x, y + (1/4), z 2a 2a 2a 2a 4b 4b 2 × 2a 2 × 4b
[conventional setting]Pmn21 c, b, -a z, y + (1/4), -x
[2] Pn21m (31) x + (1/4), y, z 2a 2a 2a 2a 4b 4b 2 × 2a 2 × 4b
[conventional setting]Pmn21 c, a, b z, x + (1/4), y
[2] P21212 (18) x, y, z + (1/4) 2a 2a 2b 2b 2 × 2a 2 × 2b 4c 2 × 4c
[2] P121/n1 (14) 2a 2b 2c 2d 4e 4e 4e 2 × 4e
[2] P21/n11 (14) 2a 2d 2b 2c 4e 4e 4e 2 × 4e
[conventional setting]P121/n1 c, a, b z, x, y
[2] P112/m (10) 1a; 1h 1b; 1g 1d; 1f 1c; 1e 2i; 2l 2j; 2k 2m; 2n 2 × 4o
II Maximal klassengleiche subgroups
   Enlarged unit cell, isomorphic
[3] Pnnm 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4g 2b; 4g 2c; 4g 2d; 4g 4e; 8h 4f; 8h 3 × 4g 3 × 8h
[p] Pnnm pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; ((p - 1)/2) × 4g 2b; ((p - 1)/2) × 4g 2c; ((p - 1)/2) × 4g 2d; ((p - 1)/2) × 4g 4e; 4f; p × 4g p × 8h
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8h ((p - 1)/2) × 8h
[3] Pnnm a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4g 2b; 4g 2c; 4g 2d; 4g 4e; 8h 4f; 8h 3 × 4g 3 × 8h
[p] Pnnm a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; ((p - 1)/2) × 4g 2b; ((p - 1)/2) × 4g 2c; ((p - 1)/2) × 4g 2d; ((p - 1)/2) × 4g 4e; 4f; p × 4g p × 8h
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8h ((p - 1)/2) × 8h
[3] Pnnm a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 2a; 4e 2b; 4e 2c; 4f 2d; 4f 3 × 4e 3 × 4f 4g; 8h 3 × 8h
[p] Pnnm a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 2c; ((p - 1)/2) × 4f 2d; ((p - 1)/2) × 4f p × 4e p × 4f 4g; p × 8h
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8h


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Pmnn a→ b → c → a x→ y → z → x
Pnmn a← b ← c ← a x← y ← z ← x









































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