P4mm No. 99 C4v1

 Axes Coordinates Wyckoff positions 1a 1b 2c 4d 4e 4f 8g I Maximal translationengleiche subgroups [2] P4 (75) 1a 1b 2c 4d 4d 4d 2 × 4d [2] Pmm2 (25) 1a 1d 1b; 1c 4i 2e; 2g 2f; 2h 2 × 4i [2] Cmm2 (35) a - b, (1/2)(x - y), (1/2)(x + y), z 2a 2b 4c 4d; 4e 8f 8f 2 × 8f a + b, c II Maximal klassengleiche subgroups Enlarged unit cell, non-isomorphic [2] I4cm (108) a - b, (1/2)(x - y), (1/2)(x + y), (1/2)z; 4a 4b 8c 16d 16d 2 × 8c 2 × 16d a + b, 2c +(0, 0, (1/2)) [2] I4cm (108) a - b, (1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; 4b 4a 8c 16d 2 × 8c 16d 2 × 16d a + b, 2c +(0, 0, (1/2)) [2] I4mm (107) a - b, (1/2)(x - y), (1/2)(x + y), (1/2)z; 2 × 2a 4b 8c 2 × 8d 2 × 8c 16e 2 × 16e a + b, 2c +(0, 0, (1/2)) [2] I4mm (107) a - b, (1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; 4b 2 × 2a 8c 2 × 8d 16e 2 × 8c 2 × 16e a + b, 2c +(0, 0, (1/2)) [2] P42mc(105) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2b 2 × 2c 8f 2 × 4d 2 × 4e 2 × 8f [2] P4cc (103) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2b 4c 8d 8d 8d 2 × 8d [2] P42cm(101) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2b 4c 2 × 4d 8e 8e 2 × 8e [2] P4bm (100) a - b, (1/2)(x - y), (1/2)(x + y), z; 2a 2b 4c 8d 8d 2 × 4c 2 × 8d a + b, c +((1/2), (1/2), 0) [2] P4bm (100) a - b, (1/2)(x - y) + (1/2), (1/2)(x + y), z; 2b 2a 4c 8d 2 × 4c 8d 2 × 8d a + b, c +((1/2), (1/2), 0) Enlarged unit cell, isomorphic [2] P4mm a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2 × 1a 2 × 1b 2 × 2c 2 × 4d 2 × 4e 2 × 4f 2 × 8g [3] P4mm a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 1a 3 × 1b 3 × 2c 2 × 4d 3 × 4e 3 × 4f 3 × 8g [p] P4mm a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 1a p × 1b p × 2c p × 4d p × 4e p × 4f p × 8g p = prime; u = 1, . . ., p - 1 [2] P4mm a - b, (1/2)(x - y), (1/2)(x + y), z; 1a; 1b 2c 4d 4e; 4f 2 × 4d 8g 2 × 8g a + b, c +((1/2), (1/2), 0) [2] P4mm a - b, (1/2)(x - y) + (1/2), (1/2)(x + y), z; 2c 1a; 1b 4d 4e; 4f 8g 2 × 4d 2 × 8g a + b, c +((1/2), (1/2), 0) [9] P4mm 3a, 3b, c (1/3)x, (1/3)y, z; 1a; 4d; 4e 1b; 4d; 4f 2c; 4e; 4f; 8g 3 × 4d; 3 × 4e; 3 × 4f; 9 × 8g ±((1/3), 0, 0); ±(0, (1/3), 0); 3 × 8g 3 × 8g 3 × 8g ±((1/3), (1/3), 0); ±((1/3), (2/3), 0) [p2] P4mm pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 1a; ((p - 1)/2) × 4d; 1b; ((p - 1)/2) × 4d; 2c; ((p - 1)/2) × 4e; p × 4d; p × 4e; p × 4f; p2 × 8g p = prime > 2; u, v = 1, . . ., p - 1 ((p - 1)/2) × 4e; ((p - 1)/2) × 4f; ((p - 1)/2) × 4f; ((p(p - 1))/2) × 8g ((p(p - 1))/2) × 8g ((p(p - 1))/2) × 8g (((p - 1)(p - 3))/8) × (((p - 1)(p - 3))/8) × (((p - 1)2)/4) × 8g 8g 8g