International Tables for Crystallography
Volume A1: Symmetry relations between space groups

Second online edition (2011)   ISBN: 978-0-470-66079-9   doi: 10.1107/97809553602060000110     | 1 | 2 |

Edited by H. Wondratschek and U. Müller

Contents

• Foreword  (p. ix) | html | pdf |
  Th. Hahn
  Scope of this volume  (p. x) | html | pdf |
  Mois I. Aroyo, Ulrich Müller and Hans Wondratschek
  Computer production of Parts 2 and 3  (p. xi) | html | pdf |
  Preslav Konstantinov, Asen Kirov, Eli B. Kroumova, Mois I. Aroyo and Ulrich Müller
  List of symbols and abbreviations used in this volume  (p. xii) | html | pdf |
  Mois I. Aroyo, Ulrich Müller and Hans Wondratschek

• Space groups and their subgroups
  • 1.1. Historical introduction  (pp. 2-6) | html | pdf | chapter contents |
    Mois I. Aroyo, Ulrich Müller and Hans Wondratschek
    • 1.1.1. The fundamental laws of crystallography  (p. 2) | html | pdf |
    • 1.1.2. Symmetry and crystal-structure determination  (pp. 2-3) | html | pdf |
    • 1.1.3. Development of the theory of group–subgroup relations  (pp. 3-4) | html | pdf |
    • 1.1.4. Applications of group–subgroup relations  (pp. 4-5) | html | pdf |
    • References | html | pdf |
  • 1.2. General introduction to the subgroups of space groups  (pp. 7-24) | html | pdf | chapter contents |
    Hans Wondratschek
    • 1.2.1. General remarks  (p. 7) | html | pdf |
    • 1.2.2. Mappings and matrices  (pp. 7-10) | html | pdf |
    • 1.2.3. Groups  (pp. 10-12) | html | pdf |
    • 1.2.4. Subgroups  (pp. 12-14) | html | pdf |
    • 1.2.5. Space groups  (pp. 14-18) | html | pdf |
    • 1.2.6. Types of subgroups of space groups  (pp. 18-20) | html | pdf |
    • 1.2.7. Application to domain structures  (pp. 20-23) | html | pdf |
    • 1.2.8. Lemmata on subgroups of space groups  (pp. 23-24) | html | pdf |
    • References | html | pdf |
  • 1.3. Computer checking of the subgroup data  (pp. 25-26) | html | pdf | chapter contents |
    Franz Gähler
    • 1.3.1. Introduction  (p. 25) | html | pdf |
    • 1.3.2. Basic capabilities of the Cryst package  (p. 25) | html | pdf |
    • 1.3.3. Computing maximal subgroups  (pp. 25-26) | html | pdf |
    • 1.3.4. Description of the checks  (p. 26) | html | pdf |
    • References | html | pdf |
  • 1.4. The mathematical background of the subgroup tables  (pp. 27-40) | html | pdf | chapter contents |
    Gabriele Nebe
    • 1.4.1. Introduction  (p. 27) | html | pdf |
    • 1.4.2. The affine space  (pp. 27-29) | html | pdf |
    • 1.4.3. Groups  (pp. 29-33) | html | pdf |
    • 1.4.4. Space groups  (pp. 33-35) | html | pdf |
    • 1.4.5. Maximal subgroups  (pp. 35-37) | html | pdf |
    • 1.4.6. Quantitative results  (pp. 37-38) | html | pdf |
    • 1.4.7. Qualitative results  (pp. 38-39) | html | pdf |
    • 1.4.8. Minimal supergroups  (pp. 39-40) | html | pdf |
    • References | html | pdf |
  • 1.5. Remarks on Wyckoff positions  (pp. 41-43) | html | pdf | chapter contents |
    Ulrich Müller
    • 1.5.1. Crystallographic orbits and Wyckoff positions  (p. 41) | html | pdf |
    • 1.5.2. Derivative structures and phase transitions  (pp. 41-42) | html | pdf |
    • 1.5.3. Relations between the positions in group–subgroup relations  (pp. 42-43) | html | pdf |
    • References | html | pdf |
  • 1.6. Relating crystal structures by group–subgroup relations  (pp. 44-56) | html | pdf | chapter contents |
    Ulrich Müller
    • 1.6.1. Introduction  (p. 44) | html | pdf |
    • 1.6.2. The symmetry principle in crystal chemistry  (p. 44) | html | pdf |
    • 1.6.3. Bärnighausen trees  (pp. 44-46) | html | pdf |
    • 1.6.4. The different kinds of symmetry relations among related crystal structures  (pp. 46-52) | html | pdf |
    • 1.6.5. Handling cell transformations  (pp. 52-54) | html | pdf |
    • 1.6.6. Comments concerning phase transitions and twin domains  (p. 54) | html | pdf |
    • 1.6.7. Exercising care in the use of group–subgroup relations  (pp. 54-55) | html | pdf |
    • References | html | pdf |
  • 1.7. The Bilbao Crystallographic Server  (pp. 57-69) | html | pdf | chapter contents |
    Mois I. Aroyo, J. Manuel Perez-Mato, Cesar Capillas and Hans Wondratschek
    • 1.7.1. Introduction  (p. 57) | html | pdf |
    • 1.7.2. Databases and retrieval tools  (pp. 57-58) | html | pdf |
    • 1.7.3. Group–subgroup and group–supergroup relations between space groups  (pp. 58-66) | html | pdf |
    • 1.7.4. Relations of Wyckoff positions for a group–subgroup pair of space groups  (pp. 66-68) | html | pdf |
    • References | html | pdf |

• Maximal subgroups of the plane groups and space groups
  • 2.1. Guide to the subgroup tables and graphs  (pp. 72-96) | html | pdf | chapter contents |
    Hans Wondratschek and Mois I. Aroyo
    • 2.1.1. Contents and arrangement of the subgroup tables  (p. 72) | html | pdf |
    • 2.1.2. Structure of the subgroup tables  (pp. 72-76) | html | pdf |
    • 2.1.3. I Maximal translationengleiche subgroups (t-subgroups)  (pp. 76-79) | html | pdf |
    • 2.1.4. II Maximal klassengleiche subgroups (k-subgroups)  (pp. 79-82) | html | pdf |
    • 2.1.5. Series of maximal isomorphic subgroups  (pp. 82-84) | html | pdf |
      Y. Billiet
    • 2.1.6. The data for minimal supergroups  (pp. 84-85) | html | pdf |
    • 2.1.7. Derivation of the minimal supergroups from the subgroup tables  (pp. 86-90) | html | pdf |
    • 2.1.8. The subgroup graphs  (pp. 90-96) | html | pdf |
    • References | html | pdf |
  • 2.2. Tables of maximal subgroups of the plane groups  (pp. 97-114) | html | | chapter contents |
    • Maximal subgroups of plane group 1, p1  (p. 98) | html | pdf |
    • Maximal subgroups of plane group 2, p2  (p. 99) | html | pdf |
    • Maximal subgroups of plane group 3, pm  (p. 100) | html | pdf |
    • Maximal subgroups of plane group 4, pg  (p. 101) | html | pdf |
    • Maximal subgroups of plane group 5, cm  (p. 102) | html | pdf |
    • Maximal subgroups of plane group 6, p2mm  (p. 103) | html | pdf |
    • Maximal subgroups of plane group 7, p2mg  (p. 104) | html | pdf |
    • Maximal subgroups of plane group 8, p2gg  (p. 105) | html | pdf |
    • Maximal subgroups of plane group 9, c2mm  (p. 106) | html | pdf |
    • Maximal subgroups of plane group 10, p4  (p. 107) | html | pdf |
    • Maximal subgroups of plane group 11, p4mm  (p. 108) | html | pdf |
    • Maximal subgroups of plane group 12, p4gm  (p. 109) | html | pdf |
    • Maximal subgroups of plane group 13, p3  (p. 110) | html | pdf |
    • Maximal subgroups of plane group 14, p3m1  (p. 111) | html | pdf |
    • Maximal subgroups of plane group 15, p31m  (p. 112) | html | pdf |
    • Maximal subgroups of plane group 16, p6  (p. 113) | html | pdf |
    • Maximal subgroups of plane group 17, p6mm  (p. 114) | html | pdf |
  • 2.3. Tables of maximal subgroups of the space groups  (pp. 115-432) | html | | chapter contents |
    • Maximal subgroups of space group 1, P1  (pp. 116-117) | html | pdf |
    • Maximal subgroups of space group 2, P-1  (pp. 118-119) | html | pdf |
    • Maximal subgroups of space group 3, P2  (pp. 120-122) | html | pdf |
    • Maximal subgroups of space group 4, P2₁  (pp. 123-124) | html | pdf |
    • Maximal subgroups of space group 5, C2  (pp. 125-127) | html | pdf |
    • Maximal subgroups of space group 6, Pm  (pp. 128-130) | html | pdf |
    • Maximal subgroups of space group 7, Pc  (pp. 131-132) | html | pdf |
    • Maximal subgroups of space group 8, Cm  (pp. 133-134) | html | pdf |
    • Maximal subgroups of space group 9, Cc  (pp. 135-136) | html | pdf |
    • Maximal subgroups of space group 10, P2/m  (pp. 137-140) | html | pdf |
    • Maximal subgroups of space group 11, P2₁/m  (pp. 141-143) | html | pdf |
    • Maximal subgroups of space group 12, C2/m  (pp. 144-146) | html | pdf |
    • Maximal subgroups of space group 13, P2/c  (pp. 147-149) | html | pdf |
    • Maximal subgroups of space group 14, P2₁/c  (pp. 150-152) | html | pdf |
    • Maximal subgroups of space group 15, C2/c  (pp. 153-155) | html | pdf |
    • Maximal subgroups of space group 16, P222  (pp. 156-157) | html | pdf |
    • Maximal subgroups of space group 17, P222₁  (p. 158) | html | pdf |
    • Maximal subgroups of space group 18, P2₁2₁2  (p. 159) | html | pdf |
    • Maximal subgroups of space group 19, P2₁2₁2₁  (p. 160) | html | pdf |
    • Maximal subgroups of space group 20, C222₁  (p. 161) | html | pdf |
    • Maximal subgroups of space group 21, C222  (pp. 162-163) | html | pdf |
    • Maximal subgroups of space group 22, F222  (pp. 163-164) | html | pdf |
    • Maximal subgroups of space group 23, I222  (p. 165) | html | pdf |
    • Maximal subgroups of space group 24, I2₁2₁2₁  (p. 166) | html | pdf |
    • Maximal subgroups of space group 25, Pmm2  (pp. 167-168) | html | pdf |
    • Maximal subgroups of space group 26, Pmc2₁  (p. 169) | html | pdf |
    • Maximal subgroups of space group 27, Pcc2  (p. 170) | html | pdf |
    • Maximal subgroups of space group 28, Pma2  (p. 171) | html | pdf |
    • Maximal subgroups of space group 29, Pca2₁  (p. 172) | html | pdf |
    • Maximal subgroups of space group 30, Pnc2  (p. 173) | html | pdf |
    • Maximal subgroups of space group 31, Pmn2₁  (p. 174) | html | pdf |
    • Maximal subgroups of space group 32, Pba2  (p. 175) | html | pdf |
    • Maximal subgroups of space group 33, Pna2₁  (p. 176) | html | pdf |
    • Maximal subgroups of space group 34, Pnn2  (p. 177) | html | pdf |
    • Maximal subgroups of space group 35, Cmm2  (p. 178) | html | pdf |
    • Maximal subgroups of space group 36, Cmc2₁  (p. 179) | html | pdf |
    • Maximal subgroups of space group 37, Ccc2  (p. 180) | html | pdf |
    • Maximal subgroups of space group 38, Amm2  (p. 181) | html | pdf |
    • Maximal subgroups of space group 39, Aem2  (p. 182) | html | pdf |
    • Maximal subgroups of space group 40, Ama2  (p. 183) | html | pdf |
    • Maximal subgroups of space group 41, Aea2  (p. 184) | html | pdf |
    • Maximal subgroups of space group 42, Fmm2  (pp. 185-186) | html | pdf |
    • Maximal subgroups of space group 43, Fdd2  (p. 187) | html | pdf |
    • Maximal subgroups of space group 44, Imm2  (p. 188) | html | pdf |
    • Maximal subgroups of space group 45, Iba2  (p. 189) | html | pdf |
    • Maximal subgroups of space group 46, Ima2  (p. 190) | html | pdf |
    • Maximal subgroups of space group 47, Pmmm  (pp. 191-192) | html | pdf |
    • Maximal subgroups of space group 48, Pnnn  (pp. 193-195) | html | pdf |
    • Maximal subgroups of space group 49, Pccm  (pp. 196-197) | html | pdf |
    • Maximal subgroups of space group 50, Pban  (pp. 197-200) | html | pdf |
    • Maximal subgroups of space group 51, Pmma  (pp. 200-201) | html | pdf |
    • Maximal subgroups of space group 52, Pnna  (p. 202) | html | pdf |
    • Maximal subgroups of space group 53, Pmna  (p. 203) | html | pdf |
    • Maximal subgroups of space group 54, Pcca  (p. 204) | html | pdf |
    • Maximal subgroups of space group 55, Pbam  (p. 205) | html | pdf |
    • Maximal subgroups of space group 56, Pccn  (p. 206) | html | pdf |
    • Maximal subgroups of space group 57, Pbcm  (p. 207) | html | pdf |
    • Maximal subgroups of space group 58, Pnnm  (p. 208) | html | pdf |
    • Maximal subgroups of space group 59, Pmmn  (pp. 209-211) | html | pdf |
    • Maximal subgroups of space group 60, Pbcn  (p. 212) | html | pdf |
    • Maximal subgroups of space group 61, Pbca  (p. 213) | html | pdf |
    • Maximal subgroups of space group 62, Pnma  (p. 214) | html | pdf |
    • Maximal subgroups of space group 63, Cmcm  (pp. 215-216) | html | pdf |
    • Maximal subgroups of space group 64, Cmce  (pp. 216-217) | html | pdf |
    • Maximal subgroups of space group 65, Cmmm  (pp. 218-219) | html | pdf |
    • Maximal subgroups of space group 66, Cccm  (pp. 219-220) | html | pdf |
    • Maximal subgroups of space group 67, Cmme  (pp. 221-222) | html | pdf |
    • Maximal subgroups of space group 68, Ccce  (pp. 223-225) | html | pdf |
    • Maximal subgroups of space group 69, Fmmm  (pp. 226-227) | html | pdf |
    • Maximal subgroups of space group 70, Fddd  (pp. 228-230) | html | pdf |
    • Maximal subgroups of space group 71, Immm  (p. 231) | html | pdf |
    • Maximal subgroups of space group 72, Ibam  (p. 232) | html | pdf |
    • Maximal subgroups of space group 73, Ibca  (pp. 233-234) | html | pdf |
    • Maximal subgroups of space group 74, Imma  (pp. 234-235) | html | pdf |
    • Maximal subgroups of space group 75, P4  (p. 236) | html | pdf |
    • Maximal subgroups of space group 76, P4₁  (p. 237) | html | pdf |
    • Maximal subgroups of space group 77, P4₂  (p. 238) | html | pdf |
    • Maximal subgroups of space group 78, P4₃  (p. 239) | html | pdf |
    • Maximal subgroups of space group 79, I4  (p. 240) | html | pdf |
    • Maximal subgroups of space group 80, I4₁  (p. 241) | html | pdf |
    • Maximal subgroups of space group 81, P-4  (p. 242) | html | pdf |
    • Maximal subgroups of space group 82, I-4  (p. 243) | html | pdf |
    • Maximal subgroups of space group 83, P4/m  (p. 244) | html | pdf |
    • Maximal subgroups of space group 84, P4₂/m  (p. 245) | html | pdf |
    • Maximal subgroups of space group 85, P4/n  (pp. 246-247) | html | pdf |
    • Maximal subgroups of space group 86, P4₂/n  (pp. 248-249) | html | pdf |
    • Maximal subgroups of space group 87, I4/m  (p. 250) | html | pdf |
    • Maximal subgroups of space group 88, I4₁/a  (pp. 251-252) | html | pdf |
    • Maximal subgroups of space group 89, P422  (p. 253) | html | pdf |
    • Maximal subgroups of space group 90, P42₁2  (p. 254) | html | pdf |
    • Maximal subgroups of space group 91, P4₁22  (p. 255) | html | pdf |
    • Maximal subgroups of space group 92, P4₁2₁2  (p. 256) | html | pdf |
    • Maximal subgroups of space group 93, P4₂22  (p. 257) | html | pdf |
    • Maximal subgroups of space group 94, P4₂2₁2  (p. 258) | html | pdf |
    • Maximal subgroups of space group 95, P4₃22  (p. 259) | html | pdf |
    • Maximal subgroups of space group 96, P4₃2₁2  (p. 260) | html | pdf |
    • Maximal subgroups of space group 97, I422  (p. 261) | html | pdf |
    • Maximal subgroups of space group 98, I4₁22  (p. 262) | html | pdf |
    • Maximal subgroups of space group 99, P4mm  (p. 263) | html | pdf |
    • Maximal subgroups of space group 100, P4bm  (p. 264) | html | pdf |
    • Maximal subgroups of space group 101, P4₂cm  (p. 265) | html | pdf |
    • Maximal subgroups of space group 102, P4₂nm  (p. 266) | html | pdf |
    • Maximal subgroups of space group 103, P4cc  (p. 267) | html | pdf |
    • Maximal subgroups of space group 104, P4nc  (p. 268) | html | pdf |
    • Maximal subgroups of space group 105, P4₂mc  (p. 269) | html | pdf |
    • Maximal subgroups of space group 106, P4₂bc  (p. 270) | html | pdf |
    • Maximal subgroups of space group 107, I4mm  (p. 271) | html | pdf |
    • Maximal subgroups of space group 108, I4cm  (p. 272) | html | pdf |
    • Maximal subgroups of space group 109, I4₁md  (p. 273) | html | pdf |
    • Maximal subgroups of space group 110, I4₁cd  (p. 274) | html | pdf |
    • Maximal subgroups of space group 111, P-42m  (p. 275) | html | pdf |
    • Maximal subgroups of space group 112, P-42c  (p. 276) | html | pdf |
    • Maximal subgroups of space group 113, P-42₁m  (p. 277) | html | pdf |
    • Maximal subgroups of space group 114, P-42₁c  (p. 278) | html | pdf |
    • Maximal subgroups of space group 115, P-4m2  (p. 279) | html | pdf |
    • Maximal subgroups of space group 116, P-4c2  (p. 280) | html | pdf |
    • Maximal subgroups of space group 117, P-4b2  (p. 281) | html | pdf |
    • Maximal subgroups of space group 118, P-4n2  (p. 282) | html | pdf |
    • Maximal subgroups of space group 119, I-4m2  (p. 283) | html | pdf |
    • Maximal subgroups of space group 120, I-4c2  (p. 284) | html | pdf |
    • Maximal subgroups of space group 121, I-42m  (p. 285) | html | pdf |
    • Maximal subgroups of space group 122, I-42d  (p. 286) | html | pdf |
    • Maximal subgroups of space group 123, P4/mmm  (pp. 287-288) | html | pdf |
    • Maximal subgroups of space group 124, P4/mcc  (p. 289) | html | pdf |
    • Maximal subgroups of space group 125, P4/nbm  (pp. 290-291) | html | pdf |
    • Maximal subgroups of space group 126, P4/nnc  (pp. 292-293) | html | pdf |
    • Maximal subgroups of space group 127, P4/mbm  (p. 294) | html | pdf |
    • Maximal subgroups of space group 128, P4/mnc  (p. 295) | html | pdf |
    • Maximal subgroups of space group 129, P4/nmm  (pp. 296-297) | html | pdf |
    • Maximal subgroups of space group 130, P4/ncc  (pp. 298-299) | html | pdf |
    • Maximal subgroups of space group 131, P4₂/mmc  (p. 300) | html | pdf |
    • Maximal subgroups of space group 132, P4₂/mcm  (p. 301) | html | pdf |
    • Maximal subgroups of space group 133, P4₂/nbc  (pp. 302-303) | html | pdf |
    • Maximal subgroups of space group 134, P4₂/nnm  (pp. 304-305) | html | pdf |
    • Maximal subgroups of space group 135, P4₂/mbc  (p. 306) | html | pdf |
    • Maximal subgroups of space group 136, P4₂/mnm  (p. 307) | html | pdf |
    • Maximal subgroups of space group 137, P4₂/nmc  (pp. 308-309) | html | pdf |
    • Maximal subgroups of space group 138, P4₂/ncm  (pp. 310-311) | html | pdf |
    • Maximal subgroups of space group 139, I4/mmm  (p. 312) | html | pdf |
    • Maximal subgroups of space group 140, I4/mcm  (p. 313) | html | pdf |
    • Maximal subgroups of space group 141, I4₁/amd  (pp. 314-315) | html | pdf |
    • Maximal subgroups of space group 142, I4₁/acd  (pp. 316-317) | html | pdf |
    • Maximal subgroups of space group 143, P3  (p. 318) | html | pdf |
    • Maximal subgroups of space group 144, P3₁  (p. 319) | html | pdf |
    • Maximal subgroups of space group 145, P3₂  (p. 320) | html | pdf |
    • Maximal subgroups of space group 146, R3  (pp. 321-322) | html | pdf |
    • Maximal subgroups of space group 147, P-3  (p. 323) | html | pdf |
    • Maximal subgroups of space group 148, R-3  (pp. 324-325) | html | pdf |
    • Maximal subgroups of space group 149, P312  (pp. 326-327) | html | pdf |
    • Maximal subgroups of space group 150, P321  (p. 328) | html | pdf |
    • Maximal subgroups of space group 151, P3₁12  (p. 329) | html | pdf |
    • Maximal subgroups of space group 152, P3₁21  (p. 330) | html | pdf |
    • Maximal subgroups of space group 153, P3₂12  (p. 331) | html | pdf |
    • Maximal subgroups of space group 154, P3₂21  (p. 332) | html | pdf |
    • Maximal subgroups of space group 155, R32  (pp. 333-335) | html | pdf |
    • Maximal subgroups of space group 156, P3m1  (p. 336) | html | pdf |
    • Maximal subgroups of space group 157, P31m  (p. 337) | html | pdf |
    • Maximal subgroups of space group 158, P3c1  (p. 338) | html | pdf |
    • Maximal subgroups of space group 159, P31c  (p. 339) | html | pdf |
    • Maximal subgroups of space group 160, R3m  (pp. 340-341) | html | pdf |
    • Maximal subgroups of space group 161, R3c  (pp. 342-343) | html | pdf |
    • Maximal subgroups of space group 162, P-31m  (pp. 344-345) | html | pdf |
    • Maximal subgroups of space group 163, P-31c  (p. 346) | html | pdf |
    • Maximal subgroups of space group 164, P-3m1  (p. 347) | html | pdf |
    • Maximal subgroups of space group 165, P-3c1  (p. 348) | html | pdf |
    • Maximal subgroups of space group 166, R-3m  (pp. 349-351) | html | pdf |
    • Maximal subgroups of space group 167, R-3c  (pp. 352-354) | html | pdf |
    • Maximal subgroups of space group 168, P6  (p. 355) | html | pdf |
    • Maximal subgroups of space group 169, P6₁  (p. 356) | html | pdf |
    • Maximal subgroups of space group 170, P6₅  (p. 357) | html | pdf |
    • Maximal subgroups of space group 171, P6₂  (p. 358) | html | pdf |
    • Maximal subgroups of space group 172, P6₄  (p. 359) | html | pdf |
    • Maximal subgroups of space group 173, P6₃  (p. 360) | html | pdf |
    • Maximal subgroups of space group 174, P-6  (p. 361) | html | pdf |
    • Maximal subgroups of space group 175, P6/m  (p. 362) | html | pdf |
    • Maximal subgroups of space group 176, P6₃/m  (p. 363) | html | pdf |
    • Maximal subgroups of space group 177, P622  (p. 364) | html | pdf |
    • Maximal subgroups of space group 178, P6₁22  (p. 365) | html | pdf |
    • Maximal subgroups of space group 179, P6₅22  (p. 366) | html | pdf |
    • Maximal subgroups of space group 180, P6₂22  (p. 367) | html | pdf |
    • Maximal subgroups of space group 181, P6₄22  (p. 368) | html | pdf |
    • Maximal subgroups of space group 182, P6₃22  (p. 369) | html | pdf |
    • Maximal subgroups of space group 183, P6mm  (p. 370) | html | pdf |
    • Maximal subgroups of space group 184, P6cc  (p. 371) | html | pdf |
    • Maximal subgroups of space group 185, P6₃cm  (p. 372) | html | pdf |
    • Maximal subgroups of space group 186, P6₃mc  (p. 373) | html | pdf |
    • Maximal subgroups of space group 187, P-6m2  (pp. 374-375) | html | pdf |
    • Maximal subgroups of space group 188, P-6c2  (p. 376) | html | pdf |
    • Maximal subgroups of space group 189, P-62m  (p. 377) | html | pdf |
    • Maximal subgroups of space group 190, P-62c  (p. 378) | html | pdf |
    • Maximal subgroups of space group 191, P6/mmm  (pp. 379-380) | html | pdf |
    • Maximal subgroups of space group 192, P6/mcc  (p. 381) | html | pdf |
    • Maximal subgroups of space group 193, P6₃/mcm  (p. 382) | html | pdf |
    • Maximal subgroups of space group 194, P6₃/mmc  (p. 383) | html | pdf |
    • Maximal subgroups of space group 195, P23  (p. 384) | html | pdf |
    • Maximal subgroups of space group 196, F23  (p. 385) | html | pdf |
    • Maximal subgroups of space group 197, I23  (p. 386) | html | pdf |
    • Maximal subgroups of space group 198, P2₁3  (p. 387) | html | pdf |
    • Maximal subgroups of space group 199, I2₁3  (p. 388) | html | pdf |
    • Maximal subgroups of space group 200, Pm-3  (p. 389) | html | pdf |
    • Maximal subgroups of space group 201, Pn-3  (pp. 390-391) | html | pdf |
    • Maximal subgroups of space group 202, Fm-3  (pp. 392-393) | html | pdf |
    • Maximal subgroups of space group 203, Fd-3  (pp. 394-395) | html | pdf |
    • Maximal subgroups of space group 204, Im-3  (p. 396) | html | pdf |
    • Maximal subgroups of space group 205, Pa-3  (p. 397) | html | pdf |
    • Maximal subgroups of space group 206, Ia-3  (p. 398) | html | pdf |
    • Maximal subgroups of space group 207, P432  (p. 399) | html | pdf |
    • Maximal subgroups of space group 208, P4₂32  (p. 400) | html | pdf |
    • Maximal subgroups of space group 209, F432  (p. 401) | html | pdf |
    • Maximal subgroups of space group 210, F4₁32  (pp. 402-403) | html | pdf |
    • Maximal subgroups of space group 211, I432  (p. 404) | html | pdf |
    • Maximal subgroups of space group 212, P4₃32  (p. 405) | html | pdf |
    • Maximal subgroups of space group 213, P4₁32  (p. 406) | html | pdf |
    • Maximal subgroups of space group 214, I4₁32  (p. 407) | html | pdf |
    • Maximal subgroups of space group 215, P-43m  (p. 408) | html | pdf |
    • Maximal subgroups of space group 216, F-43m  (p. 409) | html | pdf |
    • Maximal subgroups of space group 217, I-43m  (p. 410) | html | pdf |
    • Maximal subgroups of space group 218, P-43n  (p. 411) | html | pdf |
    • Maximal subgroups of space group 219, F-43c  (p. 412) | html | pdf |
    • Maximal subgroups of space group 220, I-43d  (p. 413) | html | pdf |
    • Maximal subgroups of space group 221, Pm-3m  (p. 414) | html | pdf |
    • Maximal subgroups of space group 222, Pn-3n  (pp. 415-416) | html | pdf |
    • Maximal subgroups of space group 223, Pm-3n  (p. 417) | html | pdf |
    • Maximal subgroups of space group 224, Pn-3m  (pp. 418-420) | html | pdf |
    • Maximal subgroups of space group 225, Fm-3m  (pp. 421-422) | html | pdf |
    • Maximal subgroups of space group 226, Fm-3c  (pp. 423-424) | html | pdf |
    • Maximal subgroups of space group 227, Fd-3m  (pp. 425-427) | html | pdf |
    • Maximal subgroups of space group 228, Fd-3c  (pp. 428-430) | html | pdf |
    • Maximal subgroups of space group 229, Im-3m  (p. 431) | html | pdf |
    • Maximal subgroups of space group 230, Ia-3d  (p. 432) | html | pdf |
  • 2.4. Graphs for translationengleiche subgroups  (pp. 433-452) | html | pdf | chapter contents |
    Volker Gramlich and Hans Wondratschek
    • 2.4.1. Graphs of the translationengleiche subgroups with a cubic summit  (pp. 434-439) | html | pdf |
    • 2.4.2. Graphs of the translationengleiche subgroups with a tetragonal summit  (pp. 440-446) | html | pdf |
    • 2.4.3. Graphs of the translationengleiche subgroups with a hexagonal summit  (pp. 447-449) | html | pdf |
    • 2.4.4. Graphs of the translationengleiche subgroups with an orthorhombic summit  (pp. 450-452) | html | pdf |
  • 2.5. Graphs for klassengleiche subgroups  (pp. 453-464) | html | pdf | chapter contents |
    Volker Gramlich and Hans Wondratschek
    • 2.5.1. Graphs of the klassengleiche subgroups of monoclinic and orthorhombic space groups  (pp. 454-456) | html | pdf |
    • 2.5.2. Graphs of the klassengleiche subgroups of tetragonal space groups  (pp. 457-459) | html | pdf |
    • 2.5.3. Graphs of the klassengleiche subgroups of trigonal space groups  (p. 460) | html | pdf |
    • 2.5.4. Graphs of the klassengleiche subgroups of hexagonal space groups  (p. 461) | html | pdf |
    • 2.5.5. Graphs of the klassengleiche subgroups of cubic space groups  (pp. 462-463) | html | pdf |

• Relations between the Wyckoff positions
  • 3.1. Guide to the tables  (pp. 466-472) | html | pdf | chapter contents |
    Ulrich Müller
    • 3.1.1. Arrangement of the entries  (pp. 466-468) | html | pdf |
    • 3.1.2. Cell transformations  (p. 468) | html | pdf |
    • 3.1.3. Origin shifts  (pp. 468-469) | html | pdf |
    • 3.1.4. Nonconventional settings of orthorhombic space groups  (pp. 469-470) | html | pdf |
    • 3.1.5. Conjugate subgroups  (pp. 470-471) | html | pdf |
    • 3.1.6. Monoclinic and triclinic subgroups  (pp. 471-472) | html | pdf |
    • References | html | pdf |
  • 3.2. Tables of the relations of the Wyckoff positions  (pp. 473-760) | html | | chapter contents |
    • Relations of the Wyckoff positions for space group 1, P1  (p. 474) | html | pdf |
    • Relations of the Wyckoff positions for space group 2, P-1  (p. 475) | html | pdf |
    • Relations of the Wyckoff positions for space group 3, P2  (pp. 476-477) | html | pdf |
    • Relations of the Wyckoff positions for space group 4, P2₁  (p. 478) | html | pdf |
    • Relations of the Wyckoff positions for space group 5, C2  (pp. 479-481) | html | pdf |
    • Relations of the Wyckoff positions for space group 6, Pm  (pp. 482-483) | html | pdf |
    • Relations of the Wyckoff positions for space group 7, Pc  (pp. 484-485) | html | pdf |
    • Relations of the Wyckoff positions for space group 8, Cm  (pp. 486-487) | html | pdf |
    • Relations of the Wyckoff positions for space group 9, Cc  (pp. 488-489) | html | pdf |
    • Relations of the Wyckoff positions for space group 10, P2/m  (pp. 490-493) | html | pdf |
    • Relations of the Wyckoff positions for space group 11, P2₁/m  (pp. 494-495) | html | pdf |
    • Relations of the Wyckoff positions for space group 12, C2/m  (pp. 496-499) | html | pdf |
    • Relations of the Wyckoff positions for space group 13, P2/c  (pp. 500-503) | html | pdf |
    • Relations of the Wyckoff positions for space group 14, P2₁/c  (pp. 504-507) | html | pdf |
    • Relations of the Wyckoff positions for space group 15, C2/c  (pp. 508-511) | html | pdf |
    • Relations of the Wyckoff positions for space group 16, P222  (pp. 512-513) | html | pdf |
    • Relations of the Wyckoff positions for space group 17, P222₁  (p. 514) | html | pdf |
    • Relations of the Wyckoff positions for space group 18, P2₁2₁2  (p. 515) | html | pdf |
    • Relations of the Wyckoff positions for space group 19, P2₁2₁2₁  (p. 516) | html | pdf |
    • Relations of the Wyckoff positions for space group 20, C222₁  (p. 517) | html | pdf |
    • Relations of the Wyckoff positions for space group 21, C222  (pp. 517-518) | html | pdf |
    • Relations of the Wyckoff positions for space group 22, F222  (p. 519) | html | pdf |
    • Relations of the Wyckoff positions for space group 23, I222  (p. 520) | html | pdf |
    • Relations of the Wyckoff positions for space group 24, I2₁2₁2₁  (p. 521) | html | pdf |
    • Relations of the Wyckoff positions for space group 25, Pmm2  (pp. 522-523) | html | pdf |
    • Relations of the Wyckoff positions for space group 26, Pmc2₁  (p. 524) | html | pdf |
    • Relations of the Wyckoff positions for space group 27, Pcc2  (p. 525) | html | pdf |
    • Relations of the Wyckoff positions for space group 28, Pma2  (p. 526) | html | pdf |
    • Relations of the Wyckoff positions for space group 29, Pca2₁  (p. 527) | html | pdf |
    • Relations of the Wyckoff positions for space group 30, Pnc2  (p. 528) | html | pdf |
    • Relations of the Wyckoff positions for space group 31, Pmn2₁  (p. 529) | html | pdf |
    • Relations of the Wyckoff positions for space group 32, Pba2  (p. 530) | html | pdf |
    • Relations of the Wyckoff positions for space group 33, Pna2₁  (p. 531) | html | pdf |
    • Relations of the Wyckoff positions for space group 34, Pnn2  (p. 532) | html | pdf |
    • Relations of the Wyckoff positions for space group 35, Cmm2  (p. 533) | html | pdf |
    • Relations of the Wyckoff positions for space group 36, Cmc2₁  (p. 534) | html | pdf |
    • Relations of the Wyckoff positions for space group 37, Ccc2  (p. 535) | html | pdf |
    • Relations of the Wyckoff positions for space group 38, Amm2  (p. 536) | html | pdf |
    • Relations of the Wyckoff positions for space group 39, Aem2  (p. 537) | html | pdf |
    • Relations of the Wyckoff positions for space group 40, Ama2  (p. 538) | html | pdf |
    • Relations of the Wyckoff positions for space group 41, Aea2  (p. 539) | html | pdf |
    • Relations of the Wyckoff positions for space group 42, Fmm2  (p. 540) | html | pdf |
    • Relations of the Wyckoff positions for space group 43, Fdd2  (p. 541) | html | pdf |
    • Relations of the Wyckoff positions for space group 44, Imm2  (p. 542) | html | pdf |
    • Relations of the Wyckoff positions for space group 45, Iba2  (p. 543) | html | pdf |
    • Relations of the Wyckoff positions for space group 46, Ima2  (p. 544) | html | pdf |
    • Relations of the Wyckoff positions for space group 47, Pmmm  (pp. 545-549) | html | pdf |
    • Relations of the Wyckoff positions for space group 48, Pnnn  (pp. 550-551) | html | pdf |
    • Relations of the Wyckoff positions for space group 49, Pccm  (pp. 551-553) | html | pdf |
    • Relations of the Wyckoff positions for space group 50, Pban  (pp. 554-555) | html | pdf |
    • Relations of the Wyckoff positions for space group 51, Pmma  (pp. 556-557) | html | pdf |
    • Relations of the Wyckoff positions for space group 52, Pnna  (p. 558) | html | pdf |
    • Relations of the Wyckoff positions for space group 53, Pmna  (p. 559) | html | pdf |
    • Relations of the Wyckoff positions for space group 54, Pcca  (p. 560) | html | pdf |
    • Relations of the Wyckoff positions for space group 55, Pbam  (p. 561) | html | pdf |
    • Relations of the Wyckoff positions for space group 56, Pccn  (p. 562) | html | pdf |
    • Relations of the Wyckoff positions for space group 57, Pbcm  (p. 563) | html | pdf |
    • Relations of the Wyckoff positions for space group 58, Pnnm  (p. 564) | html | pdf |
    • Relations of the Wyckoff positions for space group 59, Pmmn  (p. 565) | html | pdf |
    • Relations of the Wyckoff positions for space group 60, Pbcn  (p. 566) | html | pdf |
    • Relations of the Wyckoff positions for space group 61, Pbca  (p. 567) | html | pdf |
    • Relations of the Wyckoff positions for space group 62, Pnma  (p. 568) | html | pdf |
    • Relations of the Wyckoff positions for space group 63, Cmcm  (pp. 568-569) | html | pdf |
    • Relations of the Wyckoff positions for space group 64, Cmce  (p. 570) | html | pdf |
    • Relations of the Wyckoff positions for space group 65, Cmmm  (pp. 571-573) | html | pdf |
    • Relations of the Wyckoff positions for space group 66, Cccm  (pp. 574-575) | html | pdf |
    • Relations of the Wyckoff positions for space group 67, Cmme  (pp. 576-578) | html | pdf |
    • Relations of the Wyckoff positions for space group 68, Ccce  (pp. 578-579) | html | pdf |
    • Relations of the Wyckoff positions for space group 69, Fmmm  (pp. 580-581) | html | pdf |
    • Relations of the Wyckoff positions for space group 70, Fddd  (p. 582) | html | pdf |
    • Relations of the Wyckoff positions for space group 71, Immm  (pp. 583-584) | html | pdf |
    • Relations of the Wyckoff positions for space group 72, Ibam  (p. 585) | html | pdf |
    • Relations of the Wyckoff positions for space group 73, Ibca  (p. 586) | html | pdf |
    • Relations of the Wyckoff positions for space group 74, Imma  (p. 587) | html | pdf |
    • Relations of the Wyckoff positions for space group 75, P4  (p. 588) | html | pdf |
    • Relations of the Wyckoff positions for space group 76, P4₁  (p. 589) | html | pdf |
    • Relations of the Wyckoff positions for space group 77, P4₂  (p. 590) | html | pdf |
    • Relations of the Wyckoff positions for space group 78, P4₃  (p. 589) | html | pdf |
    • Relations of the Wyckoff positions for space group 79, I4  (p. 591) | html | pdf |
    • Relations of the Wyckoff positions for space group 80, I4₁  (p. 592) | html | pdf |
    • Relations of the Wyckoff positions for space group 81, P-4  (p. 593) | html | pdf |
    • Relations of the Wyckoff positions for space group 82, I-4  (p. 594) | html | pdf |
    • Relations of the Wyckoff positions for space group 83, P4/m  (pp. 595-596) | html | pdf |
    • Relations of the Wyckoff positions for space group 84, P4₂/m  (p. 597) | html | pdf |
    • Relations of the Wyckoff positions for space group 85, P4/n  (p. 598) | html | pdf |
    • Relations of the Wyckoff positions for space group 86, P4₂/n  (p. 599) | html | pdf |
    • Relations of the Wyckoff positions for space group 87, I4/m  (p. 600) | html | pdf |
    • Relations of the Wyckoff positions for space group 88, I4₁/a  (p. 601) | html | pdf |
    • Relations of the Wyckoff positions for space group 89, P422  (pp. 602-603) | html | pdf |
    • Relations of the Wyckoff positions for space group 90, P42₁2  (p. 604) | html | pdf |
    • Relations of the Wyckoff positions for space group 91, P4₁22  (p. 605) | html | pdf |
    • Relations of the Wyckoff positions for space group 92, P4₁2₁2  (p. 606) | html | pdf |
    • Relations of the Wyckoff positions for space group 93, P4₂22  (pp. 606-607) | html | pdf |
    • Relations of the Wyckoff positions for space group 94, P4₂2₁2  (p. 608) | html | pdf |
    • Relations of the Wyckoff positions for space group 95, P4₃22  (p. 609) | html | pdf |
    • Relations of the Wyckoff positions for space group 96, P4₃2₁2  (p. 610) | html | pdf |
    • Relations of the Wyckoff positions for space group 97, I422  (p. 611) | html | pdf |
    • Relations of the Wyckoff positions for space group 98, I4₁22  (p. 612) | html | pdf |
    • Relations of the Wyckoff positions for space group 99, P4mm  (p. 613) | html | pdf |
    • Relations of the Wyckoff positions for space group 100, P4bm  (p. 614) | html | pdf |
    • Relations of the Wyckoff positions for space group 101, P4₂cm  (p. 615) | html | pdf |
    • Relations of the Wyckoff positions for space group 102, P4₂nm  (p. 616) | html | pdf |
    • Relations of the Wyckoff positions for space group 103, P4cc  (p. 617) | html | pdf |
    • Relations of the Wyckoff positions for space group 104, P4nc  (p. 618) | html | pdf |
    • Relations of the Wyckoff positions for space group 105, P4₂mc  (p. 619) | html | pdf |
    • Relations of the Wyckoff positions for space group 106, P4₂bc  (p. 620) | html | pdf |
    • Relations of the Wyckoff positions for space group 107, I4mm  (p. 621) | html | pdf |
    • Relations of the Wyckoff positions for space group 108, I4cm  (p. 622) | html | pdf |
    • Relations of the Wyckoff positions for space group 109, I4₁md  (p. 623) | html | pdf |
    • Relations of the Wyckoff positions for space group 110, I4₁cd  (p. 624) | html | pdf |
    • Relations of the Wyckoff positions for space group 111, P-42m  (pp. 624-625) | html | pdf |
    • Relations of the Wyckoff positions for space group 112, P-42c  (p. 626) | html | pdf |
    • Relations of the Wyckoff positions for space group 113, P-42₁m  (p. 627) | html | pdf |
    • Relations of the Wyckoff positions for space group 114, P-42₁c  (p. 628) | html | pdf |
    • Relations of the Wyckoff positions for space group 115, P-4m2  (pp. 628-629) | html | pdf |
    • Relations of the Wyckoff positions for space group 116, P-4c2  (p. 630) | html | pdf |
    • Relations of the Wyckoff positions for space group 117, P-4b2  (p. 631) | html | pdf |
    • Relations of the Wyckoff positions for space group 118, P-4n2  (p. 632) | html | pdf |
    • Relations of the Wyckoff positions for space group 119, I-4m2  (p. 633) | html | pdf |
    • Relations of the Wyckoff positions for space group 120, I-4c2  (p. 634) | html | pdf |
    • Relations of the Wyckoff positions for space group 121, I-42m  (p. 635) | html | pdf |
    • Relations of the Wyckoff positions for space group 122, I-42d  (p. 636) | html | pdf |
    • Relations of the Wyckoff positions for space group 123, P4/mmm  (pp. 637-639) | html | pdf |
    • Relations of the Wyckoff positions for space group 124, P4/mcc  (pp. 640-641) | html | pdf |
    • Relations of the Wyckoff positions for space group 125, P4/nbm  (pp. 642-643) | html | pdf |
    • Relations of the Wyckoff positions for space group 126, P4/nnc  (p. 644) | html | pdf |
    • Relations of the Wyckoff positions for space group 127, P4/mbm  (p. 645) | html | pdf |
    • Relations of the Wyckoff positions for space group 128, P4/mnc  (p. 646) | html | pdf |
    • Relations of the Wyckoff positions for space group 129, P4/nmm  (p. 647) | html | pdf |
    • Relations of the Wyckoff positions for space group 130, P4/ncc  (p. 648) | html | pdf |
    • Relations of the Wyckoff positions for space group 131, P4₂/mmc  (pp. 649-650) | html | pdf |
    • Relations of the Wyckoff positions for space group 132, P4₂/mcm  (pp. 651-652) | html | pdf |
    • Relations of the Wyckoff positions for space group 133, P4₂/nbc  (p. 653) | html | pdf |
    • Relations of the Wyckoff positions for space group 134, P4₂/nnm  (pp. 654-655) | html | pdf |
    • Relations of the Wyckoff positions for space group 135, P4₂/mbc  (p. 656) | html | pdf |
    • Relations of the Wyckoff positions for space group 136, P4₂/mnm  (p. 657) | html | pdf |
    • Relations of the Wyckoff positions for space group 137, P4₂/nmc  (p. 658) | html | pdf |
    • Relations of the Wyckoff positions for space group 138, P4₂/ncm  (p. 659) | html | pdf |
    • Relations of the Wyckoff positions for space group 139, I4/mmm  (pp. 660-661) | html | pdf |
    • Relations of the Wyckoff positions for space group 140, I4/mcm  (pp. 662-663) | html | pdf |
    • Relations of the Wyckoff positions for space group 141, I4₁/amd  (p. 664) | html | pdf |
    • Relations of the Wyckoff positions for space group 142, I4₁/acd  (p. 665) | html | pdf |
    • Relations of the Wyckoff positions for space group 143, P3  (p. 666) | html | pdf |
    • Relations of the Wyckoff positions for space group 144, P3₁  (p. 667) | html | pdf |
    • Relations of the Wyckoff positions for space group 145, P3₂  (p. 667) | html | pdf |
    • Relations of the Wyckoff positions for space group 146, R3  (p. 668) | html | pdf |
    • Relations of the Wyckoff positions for space group 147, P-3  (p. 669) | html | pdf |
    • Relations of the Wyckoff positions for space group 148, R-3  (p. 670) | html | pdf |
    • Relations of the Wyckoff positions for space group 149, P312  (pp. 670-671) | html | pdf |
    • Relations of the Wyckoff positions for space group 150, P321  (p. 672) | html | pdf |
    • Relations of the Wyckoff positions for space group 151, P3₁12  (p. 673) | html | pdf |
    • Relations of the Wyckoff positions for space group 152, P3₁21  (p. 674) | html | pdf |
    • Relations of the Wyckoff positions for space group 153, P3₂12  (p. 675) | html | pdf |
    • Relations of the Wyckoff positions for space group 154, P3₂21  (p. 676) | html | pdf |
    • Relations of the Wyckoff positions for space group 155, R32  (p. 677) | html | pdf |
    • Relations of the Wyckoff positions for space group 156, P3m1  (p. 678) | html | pdf |
    • Relations of the Wyckoff positions for space group 157, P31m  (p. 679) | html | pdf |
    • Relations of the Wyckoff positions for space group 158, P3c1  (p. 680) | html | pdf |
    • Relations of the Wyckoff positions for space group 159, P31c  (p. 681) | html | pdf |
    • Relations of the Wyckoff positions for space group 160, R3m  (p. 682) | html | pdf |
    • Relations of the Wyckoff positions for space group 161, R3c  (p. 683) | html | pdf |
    • Relations of the Wyckoff positions for space group 162, P-31m  (p. 684) | html | pdf |
    • Relations of the Wyckoff positions for space group 163, P-31c  (p. 685) | html | pdf |
    • Relations of the Wyckoff positions for space group 164, P-3m1  (p. 686) | html | pdf |
    • Relations of the Wyckoff positions for space group 165, P-3c1  (p. 687) | html | pdf |
    • Relations of the Wyckoff positions for space group 166, R-3m  (p. 688) | html | pdf |
    • Relations of the Wyckoff positions for space group 167, R-3c  (p. 689) | html | pdf |
    • Relations of the Wyckoff positions for space group 168, P6  (p. 690) | html | pdf |
    • Relations of the Wyckoff positions for space group 169, P6₁  (p. 691) | html | pdf |
    • Relations of the Wyckoff positions for space group 170, P6₅  (p. 691) | html | pdf |
    • Relations of the Wyckoff positions for space group 171, P6₂  (p. 692) | html | pdf |
    • Relations of the Wyckoff positions for space group 172, P6₄  (p. 692) | html | pdf |
    • Relations of the Wyckoff positions for space group 173, P6₃  (p. 693) | html | pdf |
    • Relations of the Wyckoff positions for space group 174, P-6  (p. 694) | html | pdf |
    • Relations of the Wyckoff positions for space group 175, P6/m  (p. 695) | html | pdf |
    • Relations of the Wyckoff positions for space group 176, P6₃/m  (p. 696) | html | pdf |
    • Relations of the Wyckoff positions for space group 177, P622  (p. 697) | html | pdf |
    • Relations of the Wyckoff positions for space group 178, P6₁22  (p. 698) | html | pdf |
    • Relations of the Wyckoff positions for space group 179, P6₅22  (p. 699) | html | pdf |
    • Relations of the Wyckoff positions for space group 180, P6₂22  (p. 700) | html | pdf |
    • Relations of the Wyckoff positions for space group 181, P6₄22  (p. 701) | html | pdf |
    • Relations of the Wyckoff positions for space group 182, P6₃22  (p. 702) | html | pdf |
    • Relations of the Wyckoff positions for space group 183, P6mm  (p. 703) | html | pdf |
    • Relations of the Wyckoff positions for space group 184, P6cc  (p. 704) | html | pdf |
    • Relations of the Wyckoff positions for space group 185, P6₃cm  (p. 705) | html | pdf |
    • Relations of the Wyckoff positions for space group 186, P6₃mc  (p. 706) | html | pdf |
    • Relations of the Wyckoff positions for space group 187, P-6m2  (pp. 706-707) | html | pdf |
    • Relations of the Wyckoff positions for space group 188, P-6c2  (p. 708) | html | pdf |
    • Relations of the Wyckoff positions for space group 189, P-62m  (p. 709) | html | pdf |
    • Relations of the Wyckoff positions for space group 190, P-62c  (p. 710) | html | pdf |
    • Relations of the Wyckoff positions for space group 191, P6/mmm  (pp. 711-712) | html | pdf |
    • Relations of the Wyckoff positions for space group 192, P6/mcc  (p. 713) | html | pdf |
    • Relations of the Wyckoff positions for space group 193, P6₃/mcm  (p. 714) | html | pdf |
    • Relations of the Wyckoff positions for space group 194, P6₃/mmc  (p. 715) | html | pdf |
    • Relations of the Wyckoff positions for space group 195, P23  (pp. 716-717) | html | pdf |
    • Relations of the Wyckoff positions for space group 196, F23  (p. 718) | html | pdf |
    • Relations of the Wyckoff positions for space group 197, I23  (p. 719) | html | pdf |
    • Relations of the Wyckoff positions for space group 198, P2₁3  (p. 720) | html | pdf |
    • Relations of the Wyckoff positions for space group 199, I2₁3  (p. 721) | html | pdf |
    • Relations of the Wyckoff positions for space group 200, Pm-3  (pp. 722-723) | html | pdf |
    • Relations of the Wyckoff positions for space group 201, Pn-3  (p. 724) | html | pdf |
    • Relations of the Wyckoff positions for space group 202, Fm-3  (p. 725) | html | pdf |
    • Relations of the Wyckoff positions for space group 203, Fd-3  (p. 726) | html | pdf |
    • Relations of the Wyckoff positions for space group 204, Im-3  (p. 727) | html | pdf |
    • Relations of the Wyckoff positions for space group 205, Pa-3  (p. 728) | html | pdf |
    • Relations of the Wyckoff positions for space group 206, Ia-3  (p. 729) | html | pdf |
    • Relations of the Wyckoff positions for space group 207, P432  (p. 730) | html | pdf |
    • Relations of the Wyckoff positions for space group 208, P4₂32  (pp. 731-732) | html | pdf |
    • Relations of the Wyckoff positions for space group 209, F432  (p. 733) | html | pdf |
    • Relations of the Wyckoff positions for space group 210, F4₁32  (p. 734) | html | pdf |
    • Relations of the Wyckoff positions for space group 211, I432  (p. 735) | html | pdf |
    • Relations of the Wyckoff positions for space group 212, P4₃32  (p. 736) | html | pdf |
    • Relations of the Wyckoff positions for space group 213, P4₁32  (p. 737) | html | pdf |
    • Relations of the Wyckoff positions for space group 214, I4₁32  (p. 738) | html | pdf |
    • Relations of the Wyckoff positions for space group 215, P-43m  (pp. 739-740) | html | pdf |
    • Relations of the Wyckoff positions for space group 216, F-43m  (p. 741) | html | pdf |
    • Relations of the Wyckoff positions for space group 217, I-43m  (p. 742) | html | pdf |
    • Relations of the Wyckoff positions for space group 218, P-43n  (p. 743) | html | pdf |
    • Relations of the Wyckoff positions for space group 219, F-43c  (p. 744) | html | pdf |
    • Relations of the Wyckoff positions for space group 220, I-43d  (p. 745) | html | pdf |
    • Relations of the Wyckoff positions for space group 221, Pm-3m  (pp. 746-747) | html | pdf |
    • Relations of the Wyckoff positions for space group 222, Pn-3n  (p. 748) | html | pdf |
    • Relations of the Wyckoff positions for space group 223, Pm-3n  (pp. 749-750) | html | pdf |
    • Relations of the Wyckoff positions for space group 224, Pn-3m  (pp. 750-751) | html | pdf |
    • Relations of the Wyckoff positions for space group 225, Fm-3m  (pp. 752-753) | html | pdf |
    • Relations of the Wyckoff positions for space group 226, Fm-3c  (pp. 753-754) | html | pdf |
    • Relations of the Wyckoff positions for space group 227, Fd-3m  (pp. 755-756) | html | pdf |
    • Relations of the Wyckoff positions for space group 228, Fd-3c  (pp. 756-757) | html | pdf |
    • Relations of the Wyckoff positions for space group 229, Im-3m  (pp. 758-759) | html | pdf |
    • Relations of the Wyckoff positions for space group 230, Ia-3d  (p. 760) | html | pdf |

• Appendix. Differences in the presentation of Parts 2 and 3  (pp. 761-762) | html | pdf |
  Ulrich Müller and Hans Wondratschek