International Tables for Crystallography (2016). Vol. A, ch. 2.3, pp. 193-687
doi: 10.1107/97809553602060000928

Chapter 2.3. The 230 space groups

Contents

  • 2.3. The 230 space groups  (pp. 193-687) | html | | chapter contents |
    • Space group 1, P1  (p. 194) | html | pdf |
    • Space group 2, P-1  (p. 195) | html | pdf |
    • Space group 3, P2  (pp. 196-197) | html | pdf |
      • Space group 3, unique axis b, P2  (p. 196) | html | pdf |
      • Space group 3, unique axis c, P2  (p. 197) | html | pdf |
    • Space group 4, P21  (pp. 198-199) | html | pdf |
      • Space group 4, unique axis b, P21  (p. 198) | html | pdf |
      • Space group 4, unique axis c, P21  (p. 199) | html | pdf |
    • Space group 5, C2  (pp. 200-207) | html | pdf |
      • Space group 5, unique axis b, C2  (pp. 200-203) | html | pdf |
      • Space group 5, unique axis c, C2  (pp. 204-207) | html | pdf |
    • Space group 6, Pm  (pp. 208-209) | html | pdf |
      • Space group 6, unique axis b, Pm  (p. 208) | html | pdf |
      • Space group 6, unique axis c, Pm  (p. 209) | html | pdf |
    • Space group 7, Pc  (pp. 210-215) | html | pdf |
      • Space group 7, unique axis b, Pc  (pp. 210-212) | html | pdf |
      • Space group 7, unique axis c, Pc  (pp. 213-215) | html | pdf |
    • Space group 8, Cm  (pp. 216-223) | html | pdf |
      • Space group 8, unique axis b, Cm  (pp. 216-219) | html | pdf |
      • Space group 8, unique axis c, Cm  (pp. 220-223) | html | pdf |
    • Space group 9, Cc  (pp. 224-229) | html | pdf |
      • Space group 9, unique axis b, Cc  (pp. 224-226) | html | pdf |
      • Space group 9, unique axis c, Cc  (pp. 227-229) | html | pdf |
    • Space group 10, P2/m  (pp. 230-233) | html | pdf |
      • Space group 10, unique axis b, P2/m  (pp. 230-231) | html | pdf |
      • Space group 10, unique axis c, P2/m  (pp. 232-233) | html | pdf |
    • Space group 11, P21/m  (pp. 234-235) | html | pdf |
      • Space group 11, unique axis b, P21/m  (p. 234) | html | pdf |
      • Space group 11, unique axis c, P21/m  (p. 235) | html | pdf |
    • Space group 12, C2/m  (pp. 236-243) | html | pdf |
      • Space group 12, unique axis b, C2/m  (pp. 236-239) | html | pdf |
      • Space group 12, unique axis c, C2/m  (pp. 240-243) | html | pdf |
    • Space group 13, P2/c  (pp. 244-251) | html | pdf |
      • Space group 13, unique axis b, P2/c  (pp. 244-247) | html | pdf |
      • Space group 13, unique axis c, P2/c  (pp. 248-251) | html | pdf |
    • Space group 14, P21/c  (pp. 252-259) | html | pdf |
      • Space group 14, unique axis b, P21/c  (pp. 252-255) | html | pdf |
      • Space group 14, unique axis c, P21/c  (pp. 256-259) | html | pdf |
    • Space group 15, C2/c  (pp. 260-267) | html | pdf |
      • Space group 15, unique axis b, C2/c  (pp. 260-263) | html | pdf |
      • Space group 15, unique axis c, C2/c  (pp. 264-267) | html | pdf |
    • Space group 16, P222  (pp. 268-269) | html | pdf |
    • Space group 17, P2221  (pp. 270-271) | html | pdf |
    • Space group 18, P21212  (p. 272) | html | pdf |
    • Space group 19, P212121  (p. 273) | html | pdf |
    • Space group 20, C2221  (pp. 274-275) | html | pdf |
    • Space group 21, C222  (pp. 276-277) | html | pdf |
    • Space group 22, F222  (pp. 278-279) | html | pdf |
    • Space group 23, I222  (pp. 280-281) | html | pdf |
    • Space group 24, I212121  (pp. 282-283) | html | pdf |
    • Space group 25, Pmm2  (p. 284) | html | pdf |
    • Space group 26, Pmc21  (p. 285) | html | pdf |
    • Space group 27, Pcc2  (p. 286) | html | pdf |
    • Space group 28, Pma2  (p. 287) | html | pdf |
    • Space group 29, Pca21  (p. 288) | html | pdf |
    • Space group 30, Pnc2  (p. 289) | html | pdf |
    • Space group 31, Pmn21  (p. 290) | html | pdf |
    • Space group 32, Pba2  (p. 291) | html | pdf |
    • Space group 33, Pna21  (p. 292) | html | pdf |
    • Space group 34, Pnn2  (p. 293) | html | pdf |
    • Space group 35, Cmm2  (pp. 294-295) | html | pdf |
    • Space group 36, Cmc21  (pp. 296-297) | html | pdf |
    • Space group 37, Ccc2  (pp. 298-299) | html | pdf |
    • Space group 38, Amm2  (pp. 300-301) | html | pdf |
    • Space group 39, Aem2  (pp. 302-303) | html | pdf |
    • Space group 40, Ama2  (pp. 304-305) | html | pdf |
    • Space group 41, Aea2  (pp. 306-307) | html | pdf |
    • Space group 42, Fmm2  (pp. 308-309) | html | pdf |
    • Space group 43, Fdd2  (pp. 310-311) | html | pdf |
    • Space group 44, Imm2  (pp. 312-313) | html | pdf |
    • Space group 45, Iba2  (pp. 314-315) | html | pdf |
    • Space group 46, Ima2  (pp. 316-317) | html | pdf |
    • Space group 47, Pmmm  (pp. 318-319) | html | pdf |
    • Space group 48, Pnnn  (pp. 320-323) | html | pdf |
      • Space group 48, origin choice 1, Pnnn  (pp. 320-321) | html | pdf |
      • Space group 48, origin choice 2, Pnnn  (pp. 322-323) | html | pdf |
    • Space group 49, Pccm  (pp. 324-325) | html | pdf |
    • Space group 50, Pban  (pp. 326-329) | html | pdf |
      • Space group 50, origin choice 1, Pban  (pp. 326-327) | html | pdf |
      • Space group 50, origin choice 2, Pban  (pp. 328-329) | html | pdf |
    • Space group 51, Pmma  (pp. 330-331) | html | pdf |
    • Space group 52, Pnna  (pp. 332-333) | html | pdf |
    • Space group 53, Pmna  (pp. 334-335) | html | pdf |
    • Space group 54, Pcca  (pp. 336-337) | html | pdf |
    • Space group 55, Pbam  (pp. 338-339) | html | pdf |
    • Space group 56, Pccn  (pp. 340-341) | html | pdf |
    • Space group 57, Pbcm  (pp. 342-343) | html | pdf |
    • Space group 58, Pnnm  (pp. 344-345) | html | pdf |
    • Space group 59, Pmmn  (pp. 346-349) | html | pdf |
      • Space group 59, origin choice 1, Pmmn  (pp. 346-347) | html | pdf |
      • Space group 59, origin choice 2, Pmmn  (pp. 348-349) | html | pdf |
    • Space group 60, Pbcn  (pp. 350-351) | html | pdf |
    • Space group 61, Pbca  (pp. 352-353) | html | pdf |
    • Space group 62, Pnma  (pp. 354-355) | html | pdf |
    • Space group 63, Cmcm  (pp. 356-357) | html | pdf |
    • Space group 64, Cmce  (pp. 358-359) | html | pdf |
    • Space group 65, Cmmm  (pp. 360-361) | html | pdf |
    • Space group 66, Cccm  (pp. 362-363) | html | pdf |
    • Space group 67, Cmme  (pp. 364-365) | html | pdf |
    • Space group 68, Ccce  (pp. 366-369) | html | pdf |
      • Space group 68, origin choice 1, Ccce  (pp. 366-367) | html | pdf |
      • Space group 68, origin choice 2, Ccce  (pp. 368-369) | html | pdf |
    • Space group 69, Fmmm  (pp. 370-371) | html | pdf |
    • Space group 70, Fddd  (pp. 372-375) | html | pdf |
      • Space group 70, origin choice 1, Fddd  (pp. 372-373) | html | pdf |
      • Space group 70, origin choice 2, Fddd  (pp. 374-375) | html | pdf |
    • Space group 71, Immm  (pp. 376-377) | html | pdf |
    • Space group 72, Ibam  (pp. 378-379) | html | pdf |
    • Space group 73, Ibca  (pp. 380-381) | html | pdf |
    • Space group 74, Imma  (pp. 382-383) | html | pdf |
    • Space group 75, P4  (p. 384) | html | pdf |
    • Space group 76, P41  (p. 385) | html | pdf |
    • Space group 77, P42  (p. 386) | html | pdf |
    • Space group 78, P43  (p. 387) | html | pdf |
    • Space group 79, I4  (p. 388) | html | pdf |
    • Space group 80, I41  (p. 389) | html | pdf |
    • Space group 81, P-4  (p. 390) | html | pdf |
    • Space group 82, I-4  (p. 391) | html | pdf |
    • Space group 83, P4/m  (p. 392) | html | pdf |
    • Space group 84, P42/m  (p. 393) | html | pdf |
    • Space group 85, P4/n  (pp. 394-395) | html | pdf |
      • Space group 85, origin choice 1, P4/n  (p. 394) | html | pdf |
      • Space group 85, origin choice 2, P4/n  (p. 395) | html | pdf |
    • Space group 86, P42/n  (pp. 396-397) | html | pdf |
      • Space group 86, origin choice 1, P42/n  (p. 396) | html | pdf |
      • Space group 86, origin choice 2, P42/n  (p. 397) | html | pdf |
    • Space group 87, I4/m  (pp. 398-399) | html | pdf |
    • Space group 88, I41/a  (pp. 400-401) | html | pdf |
      • Space group 88, origin choice 1, I41/a  (p. 400) | html | pdf |
      • Space group 88, origin choice 2, I41/a  (p. 401) | html | pdf |
    • Space group 89, P422  (pp. 402-403) | html | pdf |
    • Space group 90, P4212  (pp. 404-405) | html | pdf |
    • Space group 91, P4122  (p. 406) | html | pdf |
    • Space group 92, P41212  (p. 407) | html | pdf |
    • Space group 93, P4222  (pp. 408-409) | html | pdf |
    • Space group 94, P42212  (pp. 410-411) | html | pdf |
    • Space group 95, P4322  (p. 412) | html | pdf |
    • Space group 96, P43212  (p. 413) | html | pdf |
    • Space group 97, I422  (pp. 414-415) | html | pdf |
    • Space group 98, I4122  (p. 416) | html | pdf |
    • Space group 99, P4mm  (p. 417) | html | pdf |
    • Space group 100, P4bm  (p. 418) | html | pdf |
    • Space group 101, P42cm  (p. 419) | html | pdf |
    • Space group 102, P42nm  (p. 420) | html | pdf |
    • Space group 103, P4cc  (p. 421) | html | pdf |
    • Space group 104, P4nc  (p. 422) | html | pdf |
    • Space group 105, P42mc  (p. 423) | html | pdf |
    • Space group 106, P42bc  (p. 424) | html | pdf |
    • Space group 107, I4mm  (p. 425) | html | pdf |
    • Space group 108, I4cm  (p. 426) | html | pdf |
    • Space group 109, I41md  (p. 427) | html | pdf |
    • Space group 110, I41cd  (p. 428) | html | pdf |
    • Space group 111, P-42m  (p. 429) | html | pdf |
    • Space group 112, P-42c  (p. 430) | html | pdf |
    • Space group 113, P-421m  (p. 431) | html | pdf |
    • Space group 114, P-421c  (p. 432) | html | pdf |
    • Space group 115, P-4m2  (p. 433) | html | pdf |
    • Space group 116, P-4c2  (p. 434) | html | pdf |
    • Space group 117, P-4b2  (p. 435) | html | pdf |
    • Space group 118, P-4n2  (p. 436) | html | pdf |
    • Space group 119, I-4m2  (p. 437) | html | pdf |
    • Space group 120, I-4c2  (pp. 438-439) | html | pdf |
    • Space group 121, I-42m  (p. 440) | html | pdf |
    • Space group 122, I-42d  (p. 441) | html | pdf |
    • Space group 123, P4/mmm  (pp. 442-443) | html | pdf |
    • Space group 124, P4/mcc  (pp. 444-445) | html | pdf |
    • Space group 125, P4/nbm  (pp. 446-449) | html | pdf |
      • Space group 125, origin choice 1, P4/nbm  (pp. 446-447) | html | pdf |
      • Space group 125, origin choice 2, P4/nbm  (pp. 448-449) | html | pdf |
    • Space group 126, P4/nnc  (pp. 450-453) | html | pdf |
      • Space group 126, origin choice 1, P4/nnc  (pp. 450-451) | html | pdf |
      • Space group 126, origin choice 2, P4/nnc  (pp. 452-453) | html | pdf |
    • Space group 127, P4/mbm  (pp. 454-455) | html | pdf |
    • Space group 128, P4/mnc  (pp. 456-457) | html | pdf |
    • Space group 129, P4/nmm  (pp. 458-461) | html | pdf |
      • Space group 129, origin choice 1, P4/nmm  (pp. 458-459) | html | pdf |
      • Space group 129, origin choice 2, P4/nmm  (pp. 460-461) | html | pdf |
    • Space group 130, P4/ncc  (pp. 462-463) | html | pdf |
      • Space group 130, origin choice 1, P4/ncc  (p. 462) | html | pdf |
      • Space group 130, origin choice 2, P4/ncc  (p. 463) | html | pdf |
    • Space group 131, P42/mmc  (pp. 464-465) | html | pdf |
    • Space group 132, P42/mcm  (pp. 466-467) | html | pdf |
    • Space group 133, P42/nbc  (pp. 468-471) | html | pdf |
      • Space group 133, origin choice 1, P42/nbc  (pp. 468-469) | html | pdf |
      • Space group 133, origin choice 2, P42/nbc  (pp. 470-471) | html | pdf |
    • Space group 134, P42/nnm  (pp. 472-475) | html | pdf |
      • Space group 134, origin choice 1, P42/nnm  (pp. 472-473) | html | pdf |
      • Space group 134, origin choice 2, P42/nnm  (pp. 474-475) | html | pdf |
    • Space group 135, P42/mbc  (pp. 476-477) | html | pdf |
    • Space group 136, P42/mnm  (pp. 478-479) | html | pdf |
    • Space group 137, P42/nmc  (pp. 480-481) | html | pdf |
      • Space group 137, origin choice 1, P42/nmc  (p. 480) | html | pdf |
      • Space group 137, origin choice 2, P42/nmc  (p. 481) | html | pdf |
    • Space group 138, P42/ncm  (pp. 482-485) | html | pdf |
      • Space group 138, origin choice 1, P42/ncm  (pp. 482-483) | html | pdf |
      • Space group 138, origin choice 2, P42/ncm  (pp. 484-485) | html | pdf |
    • Space group 139, I4/mmm  (pp. 486-487) | html | pdf |
    • Space group 140, I4/mcm  (pp. 488-489) | html | pdf |
    • Space group 141, I41/amd  (pp. 490-493) | html | pdf |
      • Space group 141, origin choice 1, I41/amd  (pp. 490-491) | html | pdf |
      • Space group 141, origin choice 2, I41/amd  (pp. 492-493) | html | pdf |
    • Space group 142, I41/acd  (pp. 494-497) | html | pdf |
      • Space group 142, origin choice 1, I41/acd  (pp. 494-495) | html | pdf |
      • Space group 142, origin choice 2, I41/acd  (pp. 496-497) | html | pdf |
    • Space group 143, P3  (p. 498) | html | pdf |
    • Space group 144, P31  (p. 499) | html | pdf |
    • Space group 145, P32  (p. 500) | html | pdf |
    • Space group 146, R3  (pp. 501-502) | html | pdf |
      • Space group 146, hexagonal axes, R3  (p. 501) | html | pdf |
      • Space group 146, rhombohedral axes, R3  (p. 502) | html | pdf |
    • Space group 147, P-3  (p. 503) | html | pdf |
    • Space group 148, R-3  (pp. 504-507) | html | pdf |
      • Space group 148, hexagonal axes, R-3  (pp. 504-505) | html | pdf |
      • Space group 148, rhombohedral axes, R-3  (pp. 506-507) | html | pdf |
    • Space group 149, P312  (p. 508) | html | pdf |
    • Space group 150, P321  (p. 509) | html | pdf |
    • Space group 151, P3112  (p. 510) | html | pdf |
    • Space group 152, P3121  (p. 511) | html | pdf |
    • Space group 153, P3212  (p. 512) | html | pdf |
    • Space group 154, P3221  (p. 513) | html | pdf |
    • Space group 155, R32  (pp. 514-517) | html | pdf |
      • Space group 155, hexagonal axes, R32  (pp. 514-515) | html | pdf |
      • Space group 155, rhombohedral axes, R32  (pp. 516-517) | html | pdf |
    • Space group 156, P3m1  (p. 518) | html | pdf |
    • Space group 157, P31m  (p. 519) | html | pdf |
    • Space group 158, P3c1  (p. 520) | html | pdf |
    • Space group 159, P31c  (p. 521) | html | pdf |
    • Space group 160, R3m  (pp. 522-525) | html | pdf |
      • Space group 160, hexagonal axes, R3m  (pp. 522-523) | html | pdf |
      • Space group 160, rhombohedral axes, R3m  (pp. 524-525) | html | pdf |
    • Space group 161, R3c  (pp. 526-529) | html | pdf |
      • Space group 161, hexagonal axes, R3c  (pp. 526-527) | html | pdf |
      • Space group 161, rhombohedral axes, R3c  (pp. 528-529) | html | pdf |
    • Space group 162, P-31m  (pp. 530-531) | html | pdf |
    • Space group 163, P-31c  (pp. 532-533) | html | pdf |
    • Space group 164, P-3m1  (p. 534) | html | pdf |
    • Space group 165, P-3c1  (p. 535) | html | pdf |
    • Space group 166, R-3m  (pp. 536-539) | html | pdf |
      • Space group 166, hexagonal axes, R-3m  (pp. 536-537) | html | pdf |
      • Space group 166, rhombohedral axes, R-3m  (pp. 538-539) | html | pdf |
    • Space group 167, R-3c  (pp. 540-543) | html | pdf |
      • Space group 167, hexagonal axes, R-3c  (pp. 540-541) | html | pdf |
      • Space group 167, rhombohedral axes, R-3c  (pp. 542-543) | html | pdf |
    • Space group 168, P6  (p. 544) | html | pdf |
    • Space group 169, P61  (p. 545) | html | pdf |
    • Space group 170, P65  (p. 546) | html | pdf |
    • Space group 171, P62  (p. 547) | html | pdf |
    • Space group 172, P64  (p. 548) | html | pdf |
    • Space group 173, P63  (p. 549) | html | pdf |
    • Space group 174, P-6  (p. 550) | html | pdf |
    • Space group 175, P6/m  (p. 551) | html | pdf |
    • Space group 176, P63/m  (pp. 552-553) | html | pdf |
    • Space group 177, P622  (pp. 554-555) | html | pdf |
    • Space group 178, P6122  (p. 556) | html | pdf |
    • Space group 179, P6522  (p. 557) | html | pdf |
    • Space group 180, P6222  (pp. 558-559) | html | pdf |
    • Space group 181, P6422  (pp. 560-561) | html | pdf |
    • Space group 182, P6322  (pp. 562-563) | html | pdf |
    • Space group 183, P6mm  (p. 564) | html | pdf |
    • Space group 184, P6cc  (p. 565) | html | pdf |
    • Space group 185, P63cm  (p. 566) | html | pdf |
    • Space group 186, P63mc  (p. 567) | html | pdf |
    • Space group 187, P-6m2  (pp. 568-569) | html | pdf |
    • Space group 188, P-6c2  (pp. 570-571) | html | pdf |
    • Space group 189, P-62m  (pp. 572-573) | html | pdf |
    • Space group 190, P-62c  (pp. 574-575) | html | pdf |
    • Space group 191, P6/mmm  (pp. 576-577) | html | pdf |
    • Space group 192, P6/mcc  (pp. 578-579) | html | pdf |
    • Space group 193, P63/mcm  (pp. 580-581) | html | pdf |
    • Space group 194, P63/mmc  (pp. 582-583) | html | pdf |
    • Space group 195, P23  (pp. 584-585) | html | pdf |
    • Space group 196, F23  (pp. 586-587) | html | pdf |
    • Space group 197, I23  (pp. 588-589) | html | pdf |
    • Space group 198, P213  (pp. 590-591) | html | pdf |
    • Space group 199, I213  (pp. 592-593) | html | pdf |
    • Space group 200, Pm-3  (pp. 594-595) | html | pdf |
    • Space group 201, Pn-3  (pp. 596-599) | html | pdf |
      • Space group 201, origin choice 1, Pn-3  (pp. 596-597) | html | pdf |
      • Space group 201, origin choice 2, Pn-3  (pp. 598-599) | html | pdf |
    • Space group 202, Fm-3  (pp. 600-601) | html | pdf |
    • Space group 203, Fd-3  (pp. 602-605) | html | pdf |
      • Space group 203, origin choice 1, Fd-3  (pp. 602-603) | html | pdf |
      • Space group 203, origin choice 2, Fd-3  (pp. 604-605) | html | pdf |
    • Space group 204, Im-3  (pp. 606-607) | html | pdf |
    • Space group 205, Pa-3  (pp. 608-609) | html | pdf |
    • Space group 206, Ia-3  (pp. 610-611) | html | pdf |
    • Space group 207, P432  (pp. 612-613) | html | pdf |
    • Space group 208, P4232  (pp. 614-615) | html | pdf |
    • Space group 209, F432  (pp. 616-617) | html | pdf |
    • Space group 210, F4132  (pp. 618-619) | html | pdf |
    • Space group 211, I432  (pp. 620-621) | html | pdf |
    • Space group 212, P4332  (pp. 622-623) | html | pdf |
    • Space group 213, P4132  (pp. 624-625) | html | pdf |
    • Space group 214, I4132  (pp. 626-627) | html | pdf |
    • Space group 215, P-43m  (pp. 628-629) | html | pdf |
    • Space group 216, F-43m  (pp. 630-631) | html | pdf |
    • Space group 217, I-43m  (pp. 632-633) | html | pdf |
    • Space group 218, P-43n  (pp. 634-635) | html | pdf |
    • Space group 219, F-43c  (pp. 636-637) | html | pdf |
    • Space group 220, I-43d  (pp. 638-639) | html | pdf |
    • Space group 221, Pm-3m  (pp. 640-643) | html | pdf |
    • Space group 222, Pn-3n  (pp. 644-651) | html | pdf |
      • Space group 222, origin choice 1, Pn-3n  (pp. 644-647) | html | pdf |
      • Space group 222, origin choice 2, Pn-3n  (pp. 648-651) | html | pdf |
    • Space group 223, Pm-3n  (pp. 652-655) | html | pdf |
    • Space group 224, Pn-3m  (pp. 656-663) | html | pdf |
      • Space group 224, origin choice 1, Pn-3m  (pp. 656-659) | html | pdf |
      • Space group 224, origin choice 2, Pn-3m  (pp. 660-663) | html | pdf |
    • Space group 225, Fm-3m  (pp. 664-667) | html | pdf |
    • Space group 226, Fm-3c  (pp. 668-671) | html | pdf |
    • Space group 227, Fd-3m  (pp. 672-679) | html | pdf |
      • Space group 227, origin choice 1, Fd-3m  (pp. 672-675) | html | pdf |
      • Space group 227, origin choice 2, Fd-3m  (pp. 676-679) | html | pdf |
    • Space group 228, Fd-3c  (pp. 680-687) | html | pdf |
      • Space group 228, origin choice 1, Fd-3c  (pp. 680-683) | html | pdf |
      • Space group 228, origin choice 2, Fd-3c  (pp. 684-687) | html | pdf |
    • Space group 229, Im-3m  (pp. 688-691) | html | pdf |
    • Space group 230, Ia-3d  (pp. 692-695) | html | pdf |