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

First online edition (2006)   ISBN: 978-1-4020-2355-2   doi: 10.1107/97809553602060000101     | 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. 2-5) | 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. 6-23) | html | pdf | chapter contents |
    Hans Wondratschek
    • 1.2.1. General remarks  (p. 6) | html | pdf |
    • 1.2.2. Mappings and matrices  (pp. 6-9) | html | pdf |
    • 1.2.3. Groups  (pp. 9-10) | html | pdf |
    • 1.2.4. Subgroups  (pp. 11-12) | html | pdf |
    • 1.2.5. Space groups  (pp. 13-16) | html | pdf |
    • 1.2.6. Types of subgroups of space groups  (pp. 16-18) | html | pdf |
    • 1.2.7. Application to domain structures  (pp. 18-22) | html | pdf |
    • 1.2.8. Lemmata on subgroups of space groups  (pp. 22-23) | html | pdf |
    • References | html | pdf |
  • 1.3. Remarks on Wyckoff positions  (pp. 24-26) | html | pdf | chapter contents |
    Ulrich Müller
    • 1.3.1. Introduction  (p. 24) | html | pdf |
    • 1.3.2. Crystallographic orbits and Wyckoff positions  (pp. 24-25) | html | pdf |
    • 1.3.3. Derivative structures and phase transitions  (p. 25) | html | pdf |
    • 1.3.4. Relations between the positions in group–subgroup relations  (pp. 25-26) | html | pdf |
    • References | html | pdf |
  • 1.4. Computer checking of the subgroup data  (pp. 27-28) | html | pdf | chapter contents |
    Franz Gähler
    • 1.4.1. Introduction  (p. 27) | html | pdf |
    • 1.4.2. Basic capabilities of the Cryst package  (p. 27) | html | pdf |
    • 1.4.3. Computing maximal subgroups  (p. 27) | html | pdf |
    • 1.4.4. Description of the checks  (p. 28) | html | pdf |
    • References | html | pdf |
  • 1.5. The mathematical background of the subgroup tables  (pp. 29-40) | html | pdf | chapter contents |
    Gabriele Nebe
    • 1.5.1. Introduction  (p. 29) | html | pdf |
    • 1.5.2. The affine space  (pp. 29-31) | html | pdf |
    • 1.5.3. Groups  (pp. 31-34) | html | pdf |
    • 1.5.4. Space groups  (pp. 34-36) | html | pdf |
    • 1.5.5. Maximal subgroups  (pp. 36-38) | html | pdf |
    • 1.5.6. Quantitative results  (pp. 38-39) | html | pdf |
    • 1.5.7. Qualitative results  (pp. 39-40) | html | pdf |
    • References | html | pdf |

• Maximal subgroups of the plane groups and space groups
  • 2.1. Guide to the subgroup tables and graphs  (pp. 42-58) | html | pdf | chapter contents |
    Hans Wondratschek and Mois I. Aroyo
    • 2.1.1. Contents and arrangement of the subgroup tables  (p. 42) | html | pdf |
    • 2.1.2. Structure of the subgroup tables  (pp. 42-45) | html | pdf |
    • 2.1.3. I Maximal translationengleiche subgroups (t-subgroups)  (pp. 45-48) | html | pdf |
    • 2.1.4. II Maximal klassengleiche subgroups (k-subgroups)  (pp. 48-51) | html | pdf |
    • 2.1.5. Series of maximal isomorphic subgroups  (pp. 51-53) | html | pdf |
      Y. Billiet
    • 2.1.6. Minimal supergroups  (pp. 53-54) | html | pdf |
    • 2.1.7. The subgroup graphs  (pp. 54-58) | html | pdf |
    • References | html | pdf |
  • 2.2. Tables of maximal subgroups of the plane groups  (pp. 59-76) | html | | chapter contents |
    • Maximal subgroups of plane group 1, p1  (p. 60) | html | pdf |
    • Maximal subgroups of plane group 2, p2  (p. 61) | html | pdf |
    • Maximal subgroups of plane group 3, pm  (p. 62) | html | pdf |
    • Maximal subgroups of plane group 4, pg  (p. 63) | html | pdf |
    • Maximal subgroups of plane group 5, cm  (p. 64) | html | pdf |
    • Maximal subgroups of plane group 6, p2mm  (p. 65) | html | pdf |
    • Maximal subgroups of plane group 7, p2mg  (p. 66) | html | pdf |
    • Maximal subgroups of plane group 8, p2gg  (p. 67) | html | pdf |
    • Maximal subgroups of plane group 9, c2mm  (p. 68) | html | pdf |
    • Maximal subgroups of plane group 10, p4  (p. 69) | html | pdf |
    • Maximal subgroups of plane group 11, p4mm  (p. 70) | html | pdf |
    • Maximal subgroups of plane group 12, p4gm  (p. 71) | html | pdf |
    • Maximal subgroups of plane group 13, p3  (p. 72) | html | pdf |
    • Maximal subgroups of plane group 14, p3m1  (p. 73) | html | pdf |
    • Maximal subgroups of plane group 15, p31m  (p. 74) | html | pdf |
    • Maximal subgroups of plane group 16, p6  (p. 75) | html | pdf |
    • Maximal subgroups of plane group 17, p6mm  (p. 76) | html | pdf |
  • 2.3. Tables of maximal subgroups of the space groups  (pp. 77-394) | html | | chapter contents |
    • Maximal subgroups of space group 1, P1  (pp. 78-79) | html | pdf |
    • Maximal subgroups of space group 2, P-1  (pp. 80-81) | html | pdf |
    • Maximal subgroups of space group 3, P2  (pp. 82-84) | html | pdf |
    • Maximal subgroups of space group 4, P2₁  (pp. 85-86) | html | pdf |
    • Maximal subgroups of space group 5, C2  (pp. 87-89) | html | pdf |
    • Maximal subgroups of space group 6, Pm  (pp. 90-92) | html | pdf |
    • Maximal subgroups of space group 7, Pc  (pp. 93-94) | html | pdf |
    • Maximal subgroups of space group 8, Cm  (pp. 95-96) | html | pdf |
    • Maximal subgroups of space group 9, Cc  (pp. 97-98) | html | pdf |
    • Maximal subgroups of space group 10, P2/m  (pp. 99-102) | html | pdf |
    • Maximal subgroups of space group 11, P2₁/m  (pp. 103-105) | html | pdf |
    • Maximal subgroups of space group 12, C2/m  (pp. 106-108) | html | pdf |
    • Maximal subgroups of space group 13, P2/c  (pp. 109-111) | html | pdf |
    • Maximal subgroups of space group 14, P2₁/c  (pp. 112-114) | html | pdf |
    • Maximal subgroups of space group 15, C2/c  (pp. 115-117) | html | pdf |
    • Maximal subgroups of space group 16, P222  (pp. 118-119) | html | pdf |
    • Maximal subgroups of space group 17, P222₁  (p. 120) | html | pdf |
    • Maximal subgroups of space group 18, P2₁2₁2  (p. 121) | html | pdf |
    • Maximal subgroups of space group 19, P2₁2₁2₁  (p. 122) | html | pdf |
    • Maximal subgroups of space group 20, C222₁  (p. 123) | html | pdf |
    • Maximal subgroups of space group 21, C222  (pp. 124-125) | html | pdf |
    • Maximal subgroups of space group 22, F222  (pp. 125-126) | html | pdf |
    • Maximal subgroups of space group 23, I222  (p. 127) | html | pdf |
    • Maximal subgroups of space group 24, I2₁2₁2₁  (p. 128) | html | pdf |
    • Maximal subgroups of space group 25, Pmm2  (pp. 129-130) | html | pdf |
    • Maximal subgroups of space group 26, Pmc2₁  (p. 131) | html | pdf |
    • Maximal subgroups of space group 27, Pcc2  (p. 132) | html | pdf |
    • Maximal subgroups of space group 28, Pma2  (p. 133) | html | pdf |
    • Maximal subgroups of space group 29, Pca2₁  (p. 134) | html | pdf |
    • Maximal subgroups of space group 30, Pnc2  (p. 135) | html | pdf |
    • Maximal subgroups of space group 31, Pmn2₁  (p. 136) | html | pdf |
    • Maximal subgroups of space group 32, Pba2  (p. 137) | html | pdf |
    • Maximal subgroups of space group 33, Pna2₁  (p. 138) | html | pdf |
    • Maximal subgroups of space group 34, Pnn2  (p. 139) | html | pdf |
    • Maximal subgroups of space group 35, Cmm2  (p. 140) | html | pdf |
    • Maximal subgroups of space group 36, Cmc2₁  (p. 141) | html | pdf |
    • Maximal subgroups of space group 37, Ccc2  (p. 142) | html | pdf |
    • Maximal subgroups of space group 38, Amm2  (p. 143) | html | pdf |
    • Maximal subgroups of space group 39, Aem2  (p. 144) | html | pdf |
    • Maximal subgroups of space group 40, Ama2  (p. 145) | html | pdf |
    • Maximal subgroups of space group 41, Aea2  (p. 146) | html | pdf |
    • Maximal subgroups of space group 42, Fmm2  (pp. 147-148) | html | pdf |
    • Maximal subgroups of space group 43, Fdd2  (p. 149) | html | pdf |
    • Maximal subgroups of space group 44, Imm2  (p. 150) | html | pdf |
    • Maximal subgroups of space group 45, Iba2  (p. 151) | html | pdf |
    • Maximal subgroups of space group 46, Ima2  (p. 152) | html | pdf |
    • Maximal subgroups of space group 47, Pmmm  (pp. 153-154) | html | pdf |
    • Maximal subgroups of space group 48, Pnnn  (pp. 155-157) | html | pdf |
    • Maximal subgroups of space group 49, Pccm  (pp. 158-159) | html | pdf |
    • Maximal subgroups of space group 50, Pban  (pp. 159-162) | html | pdf |
    • Maximal subgroups of space group 51, Pmma  (pp. 162-163) | html | pdf |
    • Maximal subgroups of space group 52, Pnna  (p. 164) | html | pdf |
    • Maximal subgroups of space group 53, Pmna  (p. 165) | html | pdf |
    • Maximal subgroups of space group 54, Pcca  (p. 166) | html | pdf |
    • Maximal subgroups of space group 55, Pbam  (p. 167) | html | pdf |
    • Maximal subgroups of space group 56, Pccn  (p. 168) | html | pdf |
    • Maximal subgroups of space group 57, Pbcm  (p. 169) | html | pdf |
    • Maximal subgroups of space group 58, Pnnm  (p. 170) | html | pdf |
    • Maximal subgroups of space group 59, Pmmn  (pp. 171-173) | html | pdf |
    • Maximal subgroups of space group 60, Pbcn  (p. 174) | html | pdf |
    • Maximal subgroups of space group 61, Pbca  (p. 175) | html | pdf |
    • Maximal subgroups of space group 62, Pnma  (p. 176) | html | pdf |
    • Maximal subgroups of space group 63, Cmcm  (pp. 177-178) | html | pdf |
    • Maximal subgroups of space group 64, Cmce  (pp. 178-179) | html | pdf |
    • Maximal subgroups of space group 65, Cmmm  (pp. 180-181) | html | pdf |
    • Maximal subgroups of space group 66, Cccm  (pp. 181-182) | html | pdf |
    • Maximal subgroups of space group 67, Cmme  (pp. 183-184) | html | pdf |
    • Maximal subgroups of space group 68, Ccce  (pp. 185-187) | html | pdf |
    • Maximal subgroups of space group 69, Fmmm  (pp. 188-189) | html | pdf |
    • Maximal subgroups of space group 70, Fddd  (pp. 190-192) | html | pdf |
    • Maximal subgroups of space group 71, Immm  (p. 193) | html | pdf |
    • Maximal subgroups of space group 72, Ibam  (p. 194) | html | pdf |
    • Maximal subgroups of space group 73, Ibca  (pp. 195-196) | html | pdf |
    • Maximal subgroups of space group 74, Imma  (pp. 196-197) | html | pdf |
    • Maximal subgroups of space group 75, P4  (p. 198) | html | pdf |
    • Maximal subgroups of space group 76, P4₁  (p. 199) | html | pdf |
    • Maximal subgroups of space group 77, P4₂  (p. 200) | html | pdf |
    • Maximal subgroups of space group 78, P4₃  (p. 201) | html | pdf |
    • Maximal subgroups of space group 79, I4  (p. 202) | html | pdf |
    • Maximal subgroups of space group 80, I4₁  (p. 203) | html | pdf |
    • Maximal subgroups of space group 81, P-4  (p. 204) | html | pdf |
    • Maximal subgroups of space group 82, I-4  (p. 205) | html | pdf |
    • Maximal subgroups of space group 83, P4/m  (p. 206) | html | pdf |
    • Maximal subgroups of space group 84, P4₂/m  (p. 207) | html | pdf |
    • Maximal subgroups of space group 85, P4/n  (pp. 208-209) | html | pdf |
    • Maximal subgroups of space group 86, P4₂/n  (pp. 210-211) | html | pdf |
    • Maximal subgroups of space group 87, I4/m  (p. 212) | html | pdf |
    • Maximal subgroups of space group 88, I4₁/a  (pp. 213-214) | html | pdf |
    • Maximal subgroups of space group 89, P422  (p. 215) | html | pdf |
    • Maximal subgroups of space group 90, P42₁2  (p. 216) | html | pdf |
    • Maximal subgroups of space group 91, P4₁22  (p. 217) | html | pdf |
    • Maximal subgroups of space group 92, P4₁2₁2  (p. 218) | html | pdf |
    • Maximal subgroups of space group 93, P4₂22  (p. 219) | html | pdf |
    • Maximal subgroups of space group 94, P4₂2₁2  (p. 220) | html | pdf |
    • Maximal subgroups of space group 95, P4₃22  (p. 221) | html | pdf |
    • Maximal subgroups of space group 96, P4₃2₁2  (p. 222) | html | pdf |
    • Maximal subgroups of space group 97, I422  (p. 223) | html | pdf |
    • Maximal subgroups of space group 98, I4₁22  (p. 224) | html | pdf |
    • Maximal subgroups of space group 99, P4mm  (p. 225) | html | pdf |
    • Maximal subgroups of space group 100, P4bm  (p. 226) | html | pdf |
    • Maximal subgroups of space group 101, P4₂cm  (p. 227) | html | pdf |
    • Maximal subgroups of space group 102, P4₂nm  (p. 228) | html | pdf |
    • Maximal subgroups of space group 103, P4cc  (p. 229) | html | pdf |
    • Maximal subgroups of space group 104, P4nc  (p. 230) | html | pdf |
    • Maximal subgroups of space group 105, P4₂mc  (p. 231) | html | pdf |
    • Maximal subgroups of space group 106, P4₂bc  (p. 232) | html | pdf |
    • Maximal subgroups of space group 107, I4mm  (p. 233) | html | pdf |
    • Maximal subgroups of space group 108, I4cm  (p. 234) | html | pdf |
    • Maximal subgroups of space group 109, I4₁md  (p. 235) | html | pdf |
    • Maximal subgroups of space group 110, I4₁cd  (p. 236) | html | pdf |
    • Maximal subgroups of space group 111, P-42m  (p. 237) | html | pdf |
    • Maximal subgroups of space group 112, P-42c  (p. 238) | html | pdf |
    • Maximal subgroups of space group 113, P-42₁m  (p. 239) | html | pdf |
    • Maximal subgroups of space group 114, P-42₁c  (p. 240) | html | pdf |
    • Maximal subgroups of space group 115, P-4m2  (p. 241) | html | pdf |
    • Maximal subgroups of space group 116, P-4c2  (p. 242) | html | pdf |
    • Maximal subgroups of space group 117, P-4b2  (p. 243) | html | pdf |
    • Maximal subgroups of space group 118, P-4n2  (p. 244) | html | pdf |
    • Maximal subgroups of space group 119, I-4m2  (p. 245) | html | pdf |
    • Maximal subgroups of space group 120, I-4c2  (p. 246) | html | pdf |
    • Maximal subgroups of space group 121, I-42m  (p. 247) | html | pdf |
    • Maximal subgroups of space group 122, I-42d  (p. 248) | html | pdf |
    • Maximal subgroups of space group 123, P4/mmm  (pp. 249-250) | html | pdf |
    • Maximal subgroups of space group 124, P4/mcc  (p. 251) | html | pdf |
    • Maximal subgroups of space group 125, P4/nbm  (pp. 252-253) | html | pdf |
    • Maximal subgroups of space group 126, P4/nnc  (pp. 254-255) | html | pdf |
    • Maximal subgroups of space group 127, P4/mbm  (p. 256) | html | pdf |
    • Maximal subgroups of space group 128, P4/mnc  (p. 257) | html | pdf |
    • Maximal subgroups of space group 129, P4/nmm  (pp. 258-259) | html | pdf |
    • Maximal subgroups of space group 130, P4/ncc  (pp. 260-261) | html | pdf |
    • Maximal subgroups of space group 131, P4₂/mmc  (p. 262) | html | pdf |
    • Maximal subgroups of space group 132, P4₂/mcm  (p. 263) | html | pdf |
    • Maximal subgroups of space group 133, P4₂/nbc  (pp. 264-265) | html | pdf |
    • Maximal subgroups of space group 134, P4₂/nnm  (pp. 266-267) | html | pdf |
    • Maximal subgroups of space group 135, P4₂/mbc  (p. 268) | html | pdf |
    • Maximal subgroups of space group 136, P4₂/mnm  (p. 269) | html | pdf |
    • Maximal subgroups of space group 137, P4₂/nmc  (pp. 270-271) | html | pdf |
    • Maximal subgroups of space group 138, P4₂/ncm  (pp. 272-273) | html | pdf |
    • Maximal subgroups of space group 139, I4/mmm  (p. 274) | html | pdf |
    • Maximal subgroups of space group 140, I4/mcm  (p. 275) | html | pdf |
    • Maximal subgroups of space group 141, I4₁/amd  (pp. 276-277) | html | pdf |
    • Maximal subgroups of space group 142, I4₁/acd  (pp. 278-279) | html | pdf |
    • Maximal subgroups of space group 143, P3  (p. 280) | html | pdf |
    • Maximal subgroups of space group 144, P3₁  (p. 281) | html | pdf |
    • Maximal subgroups of space group 145, P3₂  (p. 282) | html | pdf |
    • Maximal subgroups of space group 146, R3  (pp. 283-284) | html | pdf |
    • Maximal subgroups of space group 147, P-3  (p. 285) | html | pdf |
    • Maximal subgroups of space group 148, R-3  (pp. 286-287) | html | pdf |
    • Maximal subgroups of space group 149, P312  (pp. 288-289) | html | pdf |
    • Maximal subgroups of space group 150, P321  (p. 290) | html | pdf |
    • Maximal subgroups of space group 151, P3₁12  (p. 291) | html | pdf |
    • Maximal subgroups of space group 152, P3₁21  (p. 292) | html | pdf |
    • Maximal subgroups of space group 153, P3₂12  (p. 293) | html | pdf |
    • Maximal subgroups of space group 154, P3₂21  (p. 294) | html | pdf |
    • Maximal subgroups of space group 155, R32  (pp. 295-297) | html | pdf |
    • Maximal subgroups of space group 156, P3m1  (p. 298) | html | pdf |
    • Maximal subgroups of space group 157, P31m  (p. 299) | html | pdf |
    • Maximal subgroups of space group 158, P3c1  (p. 300) | html | pdf |
    • Maximal subgroups of space group 159, P31c  (p. 301) | html | pdf |
    • Maximal subgroups of space group 160, R3m  (pp. 302-303) | html | pdf |
    • Maximal subgroups of space group 161, R3c  (pp. 304-305) | html | pdf |
    • Maximal subgroups of space group 162, P-31m  (pp. 306-307) | html | pdf |
    • Maximal subgroups of space group 163, P-31c  (p. 308) | html | pdf |
    • Maximal subgroups of space group 164, P-3m1  (p. 309) | html | pdf |
    • Maximal subgroups of space group 165, P-3c1  (p. 310) | html | pdf |
    • Maximal subgroups of space group 166, R-3m  (pp. 311-313) | html | pdf |
    • Maximal subgroups of space group 167, R-3c  (pp. 314-316) | html | pdf |
    • Maximal subgroups of space group 168, P6  (p. 317) | html | pdf |
    • Maximal subgroups of space group 169, P6₁  (p. 318) | html | pdf |
    • Maximal subgroups of space group 170, P6₅  (p. 319) | html | pdf |
    • Maximal subgroups of space group 171, P6₂  (p. 320) | html | pdf |
    • Maximal subgroups of space group 172, P6₄  (p. 321) | html | pdf |
    • Maximal subgroups of space group 173, P6₃  (p. 322) | html | pdf |
    • Maximal subgroups of space group 174, P-6  (p. 323) | html | pdf |
    • Maximal subgroups of space group 175, P6/m  (p. 324) | html | pdf |
    • Maximal subgroups of space group 176, P6₃/m  (p. 325) | html | pdf |
    • Maximal subgroups of space group 177, P622  (p. 326) | html | pdf |
    • Maximal subgroups of space group 178, P6₁22  (p. 327) | html | pdf |
    • Maximal subgroups of space group 179, P6₅22  (p. 328) | html | pdf |
    • Maximal subgroups of space group 180, P6₂22  (p. 329) | html | pdf |
    • Maximal subgroups of space group 181, P6₄22  (p. 330) | html | pdf |
    • Maximal subgroups of space group 182, P6₃22  (p. 331) | html | pdf |
    • Maximal subgroups of space group 183, P6mm  (p. 332) | html | pdf |
    • Maximal subgroups of space group 184, P6cc  (p. 333) | html | pdf |
    • Maximal subgroups of space group 185, P6₃cm  (p. 334) | html | pdf |
    • Maximal subgroups of space group 186, P6₃mc  (p. 335) | html | pdf |
    • Maximal subgroups of space group 187, P-6m2  (pp. 336-337) | html | pdf |
    • Maximal subgroups of space group 188, P-6c2  (p. 338) | html | pdf |
    • Maximal subgroups of space group 189, P-62m  (p. 339) | html | pdf |
    • Maximal subgroups of space group 190, P-62c  (p. 340) | html | pdf |
    • Maximal subgroups of space group 191, P6/mmm  (pp. 341-342) | html | pdf |
    • Maximal subgroups of space group 192, P6/mcc  (p. 343) | html | pdf |
    • Maximal subgroups of space group 193, P6₃/mcm  (p. 344) | html | pdf |
    • Maximal subgroups of space group 194, P6₃/mmc  (p. 345) | html | pdf |
    • Maximal subgroups of space group 195, P23  (p. 346) | html | pdf |
    • Maximal subgroups of space group 196, F23  (p. 347) | html | pdf |
    • Maximal subgroups of space group 197, I23  (p. 348) | html | pdf |
    • Maximal subgroups of space group 198, P2₁3  (p. 349) | html | pdf |
    • Maximal subgroups of space group 199, I2₁3  (p. 350) | html | pdf |
    • Maximal subgroups of space group 200, Pm-3  (p. 351) | html | pdf |
    • Maximal subgroups of space group 201, Pn-3  (pp. 352-353) | html | pdf |
    • Maximal subgroups of space group 202, Fm-3  (pp. 354-355) | html | pdf |
    • Maximal subgroups of space group 203, Fd-3  (pp. 356-357) | html | pdf |
    • Maximal subgroups of space group 204, Im-3  (p. 358) | html | pdf |
    • Maximal subgroups of space group 205, Pa-3  (p. 359) | html | pdf |
    • Maximal subgroups of space group 206, Ia-3  (p. 360) | html | pdf |
    • Maximal subgroups of space group 207, P432  (p. 361) | html | pdf |
    • Maximal subgroups of space group 208, P4₂32  (p. 362) | html | pdf |
    • Maximal subgroups of space group 209, F432  (p. 363) | html | pdf |
    • Maximal subgroups of space group 210, F4₁32  (pp. 364-365) | html | pdf |
    • Maximal subgroups of space group 211, I432  (p. 366) | html | pdf |
    • Maximal subgroups of space group 212, P4₃32  (p. 367) | html | pdf |
    • Maximal subgroups of space group 213, P4₁32  (p. 368) | html | pdf |
    • Maximal subgroups of space group 214, I4₁32  (p. 369) | html | pdf |
    • Maximal subgroups of space group 215, P-43m  (p. 370) | html | pdf |
    • Maximal subgroups of space group 216, F-43m  (p. 371) | html | pdf |
    • Maximal subgroups of space group 217, I-43m  (p. 372) | html | pdf |
    • Maximal subgroups of space group 218, P-43n  (p. 373) | html | pdf |
    • Maximal subgroups of space group 219, F-43c  (p. 374) | html | pdf |
    • Maximal subgroups of space group 220, I-43d  (p. 375) | html | pdf |
    • Maximal subgroups of space group 221, Pm-3m  (p. 376) | html | pdf |
    • Maximal subgroups of space group 222, Pn-3n  (pp. 377-378) | html | pdf |
    • Maximal subgroups of space group 223, Pm-3n  (p. 379) | html | pdf |
    • Maximal subgroups of space group 224, Pn-3m  (pp. 380-382) | html | pdf |
    • Maximal subgroups of space group 225, Fm-3m  (pp. 383-384) | html | pdf |
    • Maximal subgroups of space group 226, Fm-3c  (pp. 385-386) | html | pdf |
    • Maximal subgroups of space group 227, Fd-3m  (pp. 387-389) | html | pdf |
    • Maximal subgroups of space group 228, Fd-3c  (pp. 390-392) | html | pdf |
    • Maximal subgroups of space group 229, Im-3m  (p. 393) | html | pdf |
    • Maximal subgroups of space group 230, Ia-3d  (p. 394) | html | pdf |
  • 2.4. Graphs for translationengleiche subgroups  (pp. 395-414) | html | pdf | chapter contents |
    Volker Gramlich and Hans Wondratschek
    • 2.4.1. Graphs of the translationengleiche subgroups with a cubic summit  (pp. 396-401) | html | pdf |
    • 2.4.2. Graphs of the translationengleiche subgroups with a tetragonal summit  (pp. 402-408) | html | pdf |
    • 2.4.3. Graphs of the translationengleiche subgroups with a hexagonal summit  (pp. 409-411) | html | pdf |
    • 2.4.4. Graphs of the translationengleiche subgroups with an orthorhombic summit  (pp. 412-414) | html | pdf |
  • 2.5. Graphs for klassengleiche subgroups  (pp. 415-425) | html | pdf | chapter contents |
    Volker Gramlich and Hans Wondratschek
    • 2.5.1. Graphs of the klassengleiche subgroups of monoclinic and orthorhombic space groups  (pp. 416-418) | html | pdf |
    • 2.5.2. Graphs of the klassengleiche subgroups of tetragonal space groups  (pp. 419-421) | html | pdf |
    • 2.5.3. Graphs of the klassengleiche subgroups of trigonal space groups  (p. 422) | html | pdf |
    • 2.5.4. Graphs of the klassengleiche subgroups of hexagonal space groups  (p. 423) | html | pdf |
    • 2.5.5. Graphs of the klassengleiche subgroups of cubic space groups  (pp. 424-425) | html | pdf |

• Relations between the Wyckoff positions
  • 3.1. Guide to the tables  (pp. 428-433) | html | pdf | chapter contents |
    Ulrich Müller
    • 3.1.1. Arrangement of the entries  (pp. 428-430) | html | pdf |
    • 3.1.2. Cell transformations  (p. 430) | html | pdf |
    • 3.1.3. Origin shifts  (pp. 430-431) | html | pdf |
    • 3.1.4. Nonconventional settings of orthorhombic space groups  (pp. 431-432) | html | pdf |
    • 3.1.5. Conjugate subgroups  (pp. 432-433) | html | pdf |
    • 3.1.6. Monoclinic and triclinic subgroups  (p. 433) | html | pdf |
    • References | html | pdf |
  • 3.2. Tables of the relations of the Wyckoff positions  (pp. 435-722) | html | | chapter contents |
    • Relations of the Wyckoff positions for space group 1, P1  (p. 436) | html | pdf |
    • Relations of the Wyckoff positions for space group 2, P-1  (p. 437) | html | pdf |
    • Relations of the Wyckoff positions for space group 3, P2  (pp. 438-439) | html | pdf |
    • Relations of the Wyckoff positions for space group 4, P2₁  (p. 440) | html | pdf |
    • Relations of the Wyckoff positions for space group 5, C2  (pp. 441-443) | html | pdf |
    • Relations of the Wyckoff positions for space group 6, Pm  (pp. 444-445) | html | pdf |
    • Relations of the Wyckoff positions for space group 7, Pc  (pp. 446-447) | html | pdf |
    • Relations of the Wyckoff positions for space group 8, Cm  (pp. 448-449) | html | pdf |
    • Relations of the Wyckoff positions for space group 9, Cc  (pp. 450-451) | html | pdf |
    • Relations of the Wyckoff positions for space group 10, P2/m  (pp. 452-455) | html | pdf |
    • Relations of the Wyckoff positions for space group 11, P2₁/m  (pp. 456-457) | html | pdf |
    • Relations of the Wyckoff positions for space group 12, C2/m  (pp. 458-461) | html | pdf |
    • Relations of the Wyckoff positions for space group 13, P2/c  (pp. 462-465) | html | pdf |
    • Relations of the Wyckoff positions for space group 14, P2₁/c  (pp. 466-469) | html | pdf |
    • Relations of the Wyckoff positions for space group 15, C2/c  (pp. 470-473) | html | pdf |
    • Relations of the Wyckoff positions for space group 16, P222  (pp. 474-475) | html | pdf |
    • Relations of the Wyckoff positions for space group 17, P222₁  (p. 476) | html | pdf |
    • Relations of the Wyckoff positions for space group 18, P2₁2₁2  (p. 477) | html | pdf |
    • Relations of the Wyckoff positions for space group 19, P2₁2₁2₁  (p. 478) | html | pdf |
    • Relations of the Wyckoff positions for space group 20, C222₁  (p. 479) | html | pdf |
    • Relations of the Wyckoff positions for space group 21, C222  (pp. 479-480) | html | pdf |
    • Relations of the Wyckoff positions for space group 22, F222  (p. 481) | html | pdf |
    • Relations of the Wyckoff positions for space group 23, I222  (p. 482) | html | pdf |
    • Relations of the Wyckoff positions for space group 24, I2₁2₁2₁  (p. 483) | html | pdf |
    • Relations of the Wyckoff positions for space group 25, Pmm2  (pp. 484-485) | html | pdf |
    • Relations of the Wyckoff positions for space group 26, Pmc2₁  (p. 486) | html | pdf |
    • Relations of the Wyckoff positions for space group 27, Pcc2  (p. 487) | html | pdf |
    • Relations of the Wyckoff positions for space group 28, Pma2  (p. 488) | html | pdf |
    • Relations of the Wyckoff positions for space group 29, Pca2₁  (p. 489) | html | pdf |
    • Relations of the Wyckoff positions for space group 30, Pnc2  (p. 490) | html | pdf |
    • Relations of the Wyckoff positions for space group 31, Pmn2₁  (p. 491) | html | pdf |
    • Relations of the Wyckoff positions for space group 32, Pba2  (p. 492) | html | pdf |
    • Relations of the Wyckoff positions for space group 33, Pna2₁  (p. 493) | html | pdf |
    • Relations of the Wyckoff positions for space group 34, Pnn2  (p. 494) | html | pdf |
    • Relations of the Wyckoff positions for space group 35, Cmm2  (p. 495) | html | pdf |
    • Relations of the Wyckoff positions for space group 36, Cmc2₁  (p. 496) | html | pdf |
    • Relations of the Wyckoff positions for space group 37, Ccc2  (p. 497) | html | pdf |
    • Relations of the Wyckoff positions for space group 38, Amm2  (p. 498) | html | pdf |
    • Relations of the Wyckoff positions for space group 39, Aem2  (p. 499) | html | pdf |
    • Relations of the Wyckoff positions for space group 40, Ama2  (p. 500) | html | pdf |
    • Relations of the Wyckoff positions for space group 41, Aea2  (p. 501) | html | pdf |
    • Relations of the Wyckoff positions for space group 42, Fmm2  (p. 502) | html | pdf |
    • Relations of the Wyckoff positions for space group 43, Fdd2  (p. 503) | html | pdf |
    • Relations of the Wyckoff positions for space group 44, Imm2  (p. 504) | html | pdf |
    • Relations of the Wyckoff positions for space group 45, Iba2  (p. 505) | html | pdf |
    • Relations of the Wyckoff positions for space group 46, Ima2  (p. 506) | html | pdf |
    • Relations of the Wyckoff positions for space group 47, Pmmm  (pp. 507-511) | html | pdf |
    • Relations of the Wyckoff positions for space group 48, Pnnn  (pp. 512-513) | html | pdf |
    • Relations of the Wyckoff positions for space group 49, Pccm  (pp. 513-515) | html | pdf |
    • Relations of the Wyckoff positions for space group 50, Pban  (pp. 516-517) | html | pdf |
    • Relations of the Wyckoff positions for space group 51, Pmma  (pp. 518-519) | html | pdf |
    • Relations of the Wyckoff positions for space group 52, Pnna  (p. 520) | html | pdf |
    • Relations of the Wyckoff positions for space group 53, Pmna  (p. 521) | html | pdf |
    • Relations of the Wyckoff positions for space group 54, Pcca  (p. 522) | html | pdf |
    • Relations of the Wyckoff positions for space group 55, Pbam  (p. 523) | html | pdf |
    • Relations of the Wyckoff positions for space group 56, Pccn  (p. 524) | html | pdf |
    • Relations of the Wyckoff positions for space group 57, Pbcm  (p. 525) | html | pdf |
    • Relations of the Wyckoff positions for space group 58, Pnnm  (p. 526) | html | pdf |
    • Relations of the Wyckoff positions for space group 59, Pmmn  (p. 527) | html | pdf |
    • Relations of the Wyckoff positions for space group 60, Pbcn  (p. 528) | html | pdf |
    • Relations of the Wyckoff positions for space group 61, Pbca  (p. 529) | html | pdf |
    • Relations of the Wyckoff positions for space group 62, Pnma  (p. 530) | html | pdf |
    • Relations of the Wyckoff positions for space group 63, Cmcm  (pp. 530-531) | html | pdf |
    • Relations of the Wyckoff positions for space group 64, Cmce  (p. 532) | html | pdf |
    • Relations of the Wyckoff positions for space group 65, Cmmm  (pp. 533-535) | html | pdf |
    • Relations of the Wyckoff positions for space group 66, Cccm  (pp. 536-537) | html | pdf |
    • Relations of the Wyckoff positions for space group 67, Cmme  (pp. 538-540) | html | pdf |
    • Relations of the Wyckoff positions for space group 68, Ccce  (pp. 540-541) | html | pdf |
    • Relations of the Wyckoff positions for space group 69, Fmmm  (pp. 542-543) | html | pdf |
    • Relations of the Wyckoff positions for space group 70, Fddd  (p. 544) | html | pdf |
    • Relations of the Wyckoff positions for space group 71, Immm  (pp. 545-546) | html | pdf |
    • Relations of the Wyckoff positions for space group 72, Ibam  (p. 547) | html | pdf |
    • Relations of the Wyckoff positions for space group 73, Ibca  (p. 548) | html | pdf |
    • Relations of the Wyckoff positions for space group 74, Imma  (p. 549) | html | pdf |
    • Relations of the Wyckoff positions for space group 75, P4  (p. 550) | html | pdf |
    • Relations of the Wyckoff positions for space group 76, P4₁  (p. 551) | html | pdf |
    • Relations of the Wyckoff positions for space group 77, P4₂  (p. 552) | html | pdf |
    • Relations of the Wyckoff positions for space group 78, P4₃  (p. 551) | html | pdf |
    • Relations of the Wyckoff positions for space group 79, I4  (p. 553) | html | pdf |
    • Relations of the Wyckoff positions for space group 80, I4₁  (p. 554) | html | pdf |
    • Relations of the Wyckoff positions for space group 81, P-4  (p. 555) | html | pdf |
    • Relations of the Wyckoff positions for space group 82, I-4  (p. 556) | html | pdf |
    • Relations of the Wyckoff positions for space group 83, P4/m  (pp. 557-558) | html | pdf |
    • Relations of the Wyckoff positions for space group 84, P4₂/m  (p. 559) | html | pdf |
    • Relations of the Wyckoff positions for space group 85, P4/n  (p. 560) | html | pdf |
    • Relations of the Wyckoff positions for space group 86, P4₂/n  (p. 561) | html | pdf |
    • Relations of the Wyckoff positions for space group 87, I4/m  (p. 562) | html | pdf |
    • Relations of the Wyckoff positions for space group 88, I4₁/a  (p. 563) | html | pdf |
    • Relations of the Wyckoff positions for space group 89, P422  (pp. 564-565) | html | pdf |
    • Relations of the Wyckoff positions for space group 90, P42₁2  (p. 566) | html | pdf |
    • Relations of the Wyckoff positions for space group 91, P4₁22  (p. 567) | html | pdf |
    • Relations of the Wyckoff positions for space group 92, P4₁2₁2  (p. 568) | html | pdf |
    • Relations of the Wyckoff positions for space group 93, P4₂22  (pp. 568-569) | html | pdf |
    • Relations of the Wyckoff positions for space group 94, P4₂2₁2  (p. 570) | html | pdf |
    • Relations of the Wyckoff positions for space group 95, P4₃22  (p. 571) | html | pdf |
    • Relations of the Wyckoff positions for space group 96, P4₃2₁2  (p. 572) | html | pdf |
    • Relations of the Wyckoff positions for space group 97, I422  (p. 573) | html | pdf |
    • Relations of the Wyckoff positions for space group 98, I4₁22  (p. 574) | html | pdf |
    • Relations of the Wyckoff positions for space group 99, P4mm  (p. 575) | html | pdf |
    • Relations of the Wyckoff positions for space group 100, P4bm  (p. 576) | html | pdf |
    • Relations of the Wyckoff positions for space group 101, P4₂cm  (p. 577) | html | pdf |
    • Relations of the Wyckoff positions for space group 102, P4₂nm  (p. 578) | html | pdf |
    • Relations of the Wyckoff positions for space group 103, P4cc  (p. 579) | html | pdf |
    • Relations of the Wyckoff positions for space group 104, P4nc  (p. 580) | html | pdf |
    • Relations of the Wyckoff positions for space group 105, P4₂mc  (p. 581) | html | pdf |
    • Relations of the Wyckoff positions for space group 106, P4₂bc  (p. 582) | html | pdf |
    • Relations of the Wyckoff positions for space group 107, I4mm  (p. 583) | html | pdf |
    • Relations of the Wyckoff positions for space group 108, I4cm  (p. 584) | html | pdf |
    • Relations of the Wyckoff positions for space group 109, I4₁md  (p. 585) | html | pdf |
    • Relations of the Wyckoff positions for space group 110, I4₁cd  (p. 586) | html | pdf |
    • Relations of the Wyckoff positions for space group 111, P-42m  (pp. 586-587) | html | pdf |
    • Relations of the Wyckoff positions for space group 112, P-42c  (p. 588) | html | pdf |
    • Relations of the Wyckoff positions for space group 113, P-42₁m  (p. 589) | html | pdf |
    • Relations of the Wyckoff positions for space group 114, P-42₁c  (p. 590) | html | pdf |
    • Relations of the Wyckoff positions for space group 115, P-4m2  (pp. 590-591) | html | pdf |
    • Relations of the Wyckoff positions for space group 116, P-4c2  (p. 592) | html | pdf |
    • Relations of the Wyckoff positions for space group 117, P-4b2  (p. 593) | html | pdf |
    • Relations of the Wyckoff positions for space group 118, P-4n2  (p. 594) | html | pdf |
    • Relations of the Wyckoff positions for space group 119, I-4m2  (p. 595) | html | pdf |
    • Relations of the Wyckoff positions for space group 120, I-4c2  (p. 596) | html | pdf |
    • Relations of the Wyckoff positions for space group 121, I-42m  (p. 597) | html | pdf |
    • Relations of the Wyckoff positions for space group 122, I-42d  (p. 598) | html | pdf |
    • Relations of the Wyckoff positions for space group 123, P4/mmm  (pp. 599-601) | html | pdf |
    • Relations of the Wyckoff positions for space group 124, P4/mcc  (pp. 602-603) | html | pdf |
    • Relations of the Wyckoff positions for space group 125, P4/nbm  (pp. 604-605) | html | pdf |
    • Relations of the Wyckoff positions for space group 126, P4/nnc  (p. 606) | html | pdf |
    • Relations of the Wyckoff positions for space group 127, P4/mbm  (p. 607) | html | pdf |
    • Relations of the Wyckoff positions for space group 128, P4/mnc  (p. 608) | html | pdf |
    • Relations of the Wyckoff positions for space group 129, P4/nmm  (p. 609) | html | pdf |
    • Relations of the Wyckoff positions for space group 130, P4/ncc  (p. 610) | html | pdf |
    • Relations of the Wyckoff positions for space group 131, P4₂/mmc  (pp. 611-612) | html | pdf |
    • Relations of the Wyckoff positions for space group 132, P4₂/mcm  (pp. 613-614) | html | pdf |
    • Relations of the Wyckoff positions for space group 133, P4₂/nbc  (p. 615) | html | pdf |
    • Relations of the Wyckoff positions for space group 134, P4₂/nnm  (pp. 616-617) | html | pdf |
    • Relations of the Wyckoff positions for space group 135, P4₂/mbc  (p. 618) | html | pdf |
    • Relations of the Wyckoff positions for space group 136, P4₂/mnm  (p. 619) | html | pdf |
    • Relations of the Wyckoff positions for space group 137, P4₂/nmc  (p. 620) | html | pdf |
    • Relations of the Wyckoff positions for space group 138, P4₂/ncm  (p. 621) | html | pdf |
    • Relations of the Wyckoff positions for space group 139, I4/mmm  (pp. 622-623) | html | pdf |
    • Relations of the Wyckoff positions for space group 140, I4/mcm  (pp. 624-625) | html | pdf |
    • Relations of the Wyckoff positions for space group 141, I4₁/amd  (p. 626) | html | pdf |
    • Relations of the Wyckoff positions for space group 142, I4₁/acd  (p. 627) | html | pdf |
    • Relations of the Wyckoff positions for space group 143, P3  (p. 628) | html | pdf |
    • Relations of the Wyckoff positions for space group 144, P3₁  (p. 629) | html | pdf |
    • Relations of the Wyckoff positions for space group 145, P3₂  (p. 629) | html | pdf |
    • Relations of the Wyckoff positions for space group 146, R3  (p. 630) | html | pdf |
    • Relations of the Wyckoff positions for space group 147, P-3  (p. 631) | html | pdf |
    • Relations of the Wyckoff positions for space group 148, R-3  (p. 632) | html | pdf |
    • Relations of the Wyckoff positions for space group 149, P312  (pp. 632-633) | html | pdf |
    • Relations of the Wyckoff positions for space group 150, P321  (p. 634) | html | pdf |
    • Relations of the Wyckoff positions for space group 151, P3₁12  (p. 635) | html | pdf |
    • Relations of the Wyckoff positions for space group 152, P3₁21  (p. 636) | html | pdf |
    • Relations of the Wyckoff positions for space group 153, P3₂12  (p. 637) | html | pdf |
    • Relations of the Wyckoff positions for space group 154, P3₂21  (p. 638) | html | pdf |
    • Relations of the Wyckoff positions for space group 155, R32  (p. 639) | html | pdf |
    • Relations of the Wyckoff positions for space group 156, P3m1  (p. 640) | html | pdf |
    • Relations of the Wyckoff positions for space group 157, P31m  (p. 641) | html | pdf |
    • Relations of the Wyckoff positions for space group 158, P3c1  (p. 642) | html | pdf |
    • Relations of the Wyckoff positions for space group 159, P31c  (p. 643) | html | pdf |
    • Relations of the Wyckoff positions for space group 160, R3m  (p. 644) | html | pdf |
    • Relations of the Wyckoff positions for space group 161, R3c  (p. 645) | html | pdf |
    • Relations of the Wyckoff positions for space group 162, P-31m  (p. 646) | html | pdf |
    • Relations of the Wyckoff positions for space group 163, P-31c  (p. 647) | html | pdf |
    • Relations of the Wyckoff positions for space group 164, P-3m1  (p. 648) | html | pdf |
    • Relations of the Wyckoff positions for space group 165, P-3c1  (p. 649) | html | pdf |
    • Relations of the Wyckoff positions for space group 166, R-3m  (p. 650) | html | pdf |
    • Relations of the Wyckoff positions for space group 167, R-3c  (p. 651) | html | pdf |
    • Relations of the Wyckoff positions for space group 168, P6  (p. 652) | html | pdf |
    • Relations of the Wyckoff positions for space group 169, P6₁  (p. 653) | html | pdf |
    • Relations of the Wyckoff positions for space group 170, P6₅  (p. 653) | html | pdf |
    • Relations of the Wyckoff positions for space group 171, P6₂  (p. 654) | html | pdf |
    • Relations of the Wyckoff positions for space group 172, P6₄  (p. 654) | html | pdf |
    • Relations of the Wyckoff positions for space group 173, P6₃  (p. 655) | html | pdf |
    • Relations of the Wyckoff positions for space group 174, P-6  (p. 656) | html | pdf |
    • Relations of the Wyckoff positions for space group 175, P6/m  (p. 657) | html | pdf |
    • Relations of the Wyckoff positions for space group 176, P6₃/m  (p. 658) | html | pdf |
    • Relations of the Wyckoff positions for space group 177, P622  (p. 659) | html | pdf |
    • Relations of the Wyckoff positions for space group 178, P6₁22  (p. 660) | html | pdf |
    • Relations of the Wyckoff positions for space group 179, P6₅22  (p. 661) | html | pdf |
    • Relations of the Wyckoff positions for space group 180, P6₂22  (p. 662) | html | pdf |
    • Relations of the Wyckoff positions for space group 181, P6₄22  (p. 663) | html | pdf |
    • Relations of the Wyckoff positions for space group 182, P6₃22  (p. 664) | html | pdf |
    • Relations of the Wyckoff positions for space group 183, P6mm  (p. 665) | html | pdf |
    • Relations of the Wyckoff positions for space group 184, P6cc  (p. 666) | html | pdf |
    • Relations of the Wyckoff positions for space group 185, P6₃cm  (p. 667) | html | pdf |
    • Relations of the Wyckoff positions for space group 186, P6₃mc  (p. 668) | html | pdf |
    • Relations of the Wyckoff positions for space group 187, P-6m2  (pp. 668-669) | html | pdf |
    • Relations of the Wyckoff positions for space group 188, P-6c2  (p. 670) | html | pdf |
    • Relations of the Wyckoff positions for space group 189, P-62m  (p. 671) | html | pdf |
    • Relations of the Wyckoff positions for space group 190, P-62c  (p. 672) | html | pdf |
    • Relations of the Wyckoff positions for space group 191, P6/mmm  (pp. 673-674) | html | pdf |
    • Relations of the Wyckoff positions for space group 192, P6/mcc  (p. 675) | html | pdf |
    • Relations of the Wyckoff positions for space group 193, P6₃/mcm  (p. 676) | html | pdf |
    • Relations of the Wyckoff positions for space group 194, P6₃/mmc  (p. 677) | html | pdf |
    • Relations of the Wyckoff positions for space group 195, P23  (pp. 678-679) | html | pdf |
    • Relations of the Wyckoff positions for space group 196, F23  (p. 680) | html | pdf |
    • Relations of the Wyckoff positions for space group 197, I23  (p. 681) | html | pdf |
    • Relations of the Wyckoff positions for space group 198, P2₁3  (p. 682) | html | pdf |
    • Relations of the Wyckoff positions for space group 199, I2₁3  (p. 683) | html | pdf |
    • Relations of the Wyckoff positions for space group 200, Pm-3  (pp. 684-685) | html | pdf |
    • Relations of the Wyckoff positions for space group 201, Pn-3  (p. 686) | html | pdf |
    • Relations of the Wyckoff positions for space group 202, Fm-3  (p. 687) | html | pdf |
    • Relations of the Wyckoff positions for space group 203, Fd-3  (p. 688) | html | pdf |
    • Relations of the Wyckoff positions for space group 204, Im-3  (p. 689) | html | pdf |
    • Relations of the Wyckoff positions for space group 205, Pa-3  (p. 690) | html | pdf |
    • Relations of the Wyckoff positions for space group 206, Ia-3  (p. 691) | html | pdf |
    • Relations of the Wyckoff positions for space group 207, P432  (p. 692) | html | pdf |
    • Relations of the Wyckoff positions for space group 208, P4₂32  (pp. 693-694) | html | pdf |
    • Relations of the Wyckoff positions for space group 209, F432  (p. 695) | html | pdf |
    • Relations of the Wyckoff positions for space group 210, F4₁32  (p. 696) | html | pdf |
    • Relations of the Wyckoff positions for space group 211, I432  (p. 697) | html | pdf |
    • Relations of the Wyckoff positions for space group 212, P4₃32  (p. 698) | html | pdf |
    • Relations of the Wyckoff positions for space group 213, P4₁32  (p. 699) | html | pdf |
    • Relations of the Wyckoff positions for space group 214, I4₁32  (p. 700) | html | pdf |
    • Relations of the Wyckoff positions for space group 215, P-43m  (pp. 701-702) | html | pdf |
    • Relations of the Wyckoff positions for space group 216, F-43m  (p. 703) | html | pdf |
    • Relations of the Wyckoff positions for space group 217, I-43m  (p. 704) | html | pdf |
    • Relations of the Wyckoff positions for space group 218, P-43n  (p. 705) | html | pdf |
    • Relations of the Wyckoff positions for space group 219, F-43c  (p. 706) | html | pdf |
    • Relations of the Wyckoff positions for space group 220, I-43d  (p. 707) | html | pdf |
    • Relations of the Wyckoff positions for space group 221, Pm-3m  (pp. 708-709) | html | pdf |
    • Relations of the Wyckoff positions for space group 222, Pn-3n  (p. 710) | html | pdf |
    • Relations of the Wyckoff positions for space group 223, Pm-3n  (pp. 711-712) | html | pdf |
    • Relations of the Wyckoff positions for space group 224, Pn-3m  (pp. 712-713) | html | pdf |
    • Relations of the Wyckoff positions for space group 225, Fm-3m  (pp. 714-715) | html | pdf |
    • Relations of the Wyckoff positions for space group 226, Fm-3c  (pp. 715-716) | html | pdf |
    • Relations of the Wyckoff positions for space group 227, Fd-3m  (pp. 717-718) | html | pdf |
    • Relations of the Wyckoff positions for space group 228, Fd-3c  (pp. 718-719) | html | pdf |
    • Relations of the Wyckoff positions for space group 229, Im-3m  (pp. 720-721) | html | pdf |
    • Relations of the Wyckoff positions for space group 230, Ia-3d  (p. 722) | html | pdf |

• Appendix. Differences in the presentation of Parts 2 and 3  (pp. 723-724) | html | pdf |
  Ulrich Müller and Hans Wondratschek