I212121 No. 24 D29

 Axes Coordinates Wyckoff positions 4a 4b 4c 8d I Maximal translationengleiche subgroups [2] I211 (5) x, y, z + (1/4) 2a; 2b 4c 4c 2 × 4c I121 c, a, b z + (1/4), x, y C121 -b - c, a, c -y, x, -y + z + (1/4) [2] I121 (5) x + (1/4), y, z 4c 2a; 2b 4c 2 × 4c C121 -a - c, b, a -z, y, x - z + (1/4) [2] I112 (5) x, y + (1/4), z 4c 4c 2a; 2b 2 × 4c A112 a, -a + b, c x + y + (1/4), y + (1/4), z II Maximal klassengleiche subgroups Loss of centring translations [2] P212121 (19) 4a 4a 4a 2 × 4a [2] P2221 (17) x + (1/4), y, z + (1/4) 2a; 2b 2c; 2d 4e 2 × 4e [2] P2212 (17) x, y + (1/4), z + (1/4) 2c; 2d 4e 2a; 2b 2 × 4e P2221 c, a, b z + (1/4), x, y + (1/4) [2] P2122 (17) x + (1/4), y + (1/4), z 4e 2a; 2b 2c; 2d 2 × 4e P2221 b, c, a y + (1/4), z, x + (1/4) Enlarged unit cell, isomorphic [3] I212121 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 3 × 4a 4b; 8d 4c; 8d 3 × 8d [p] I212121 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) p × 4a 4b; ((p - 1)/2) × 8d 4c; ((p - 1)/2) × 8d p × 8d p = prime > 2; u = 1, . . ., p - 1 [3] I212121 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8d 3 × 4b 4c; 8d 3 × 8d [p] I212121 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8d p × 4b 4c; ((p - 1)/2) × 8d p × 8d p = prime > 2; u = 1, . . ., p - 1 [3] I212121 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8d 4b; 8d 3 × 4c 3 × 8d [p] I212121 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8d 4b; ((p - 1)/2) × 8d p × 4c p × 8d p = prime > 2; u = 1, . . ., p - 1