We have introduce a new type of graphs from a group called G-graphs, these graphs give us a lot of information about the structure of groups. Moreover, these type of graphs can be used in any area of sciences where CAYLEY graphs occurs. G-graphs are very efficient to construct symmetric and semisymmetric graphs. Indeed we have built a power full algorithm to construct symmetric and semisymmetric graphs. The following table has been built in 1h 56 minutes on a 2 gigahertz Athlon (32 bit processor).
In green are semisymmetric G-graphs, the others are symmetric.
| O(Gamma) | O(G) | G | Nauty Key | Automorphism group | Simple |
| 2 | 3 | sg-3-1 | [ 44 9a902 248b4d] | 1 orbit; group size=2; | No |
| 6 | 9 | sg-9-2 | [ 66c 4ba4843 37e8241] | 1 orbit; group size=72; | Yes |
| 8 | 12 | sg-12-3 | [ 1bec 3227546 cd5f822] | 1 orbit; group size=48; | Yes |
| 14 | 21 | sg-21-1 | [ 633ec f98f9d7 79ef0f4] | 1 orbit; group size=336; | Yes |
| 16 | 24 | sg-24-3 | [ 131eec 24b203f 9243b84] | 1 orbit; group size=96; | Yes |
| 18 | 27 | sg-27-3 | [aa94836 17b5ee7 38c98ee] | 1 orbit; group size=216; | Yes |
| 24 | 36 | sg-36-11 | [41f7c4c 58fdfc5 b884cbf] | 1 orbit; group size=144; | Yes |
| 26 | 39 | sg-39-1 | [d8b3f11 e332250 f419aab] | 1 orbit; group size=78; | Yes |
| 32 | 48 | sg-48-3 | [f578531 710cd73 a5f3f8e] | 1 orbit; group size=192; | Yes |
| 38 | 57 | sg-57-1 | [cf993f2 5bca4da d872c33] | 1 orbit; group size=114; | Yes |
| 40 | 60 | sg-60-5 | [905a17d 9d784fd 32b4b99] | 1 orbit; group size=480; | Yes |
| 42 | 63 | sg-63-3 | [87b00a1 2369223 41c2a1a] | 1 orbit; group size=126; | Yes |
| 48 | 72 | sg-72-25 | [2a48f85 1dfadee 1399e6f] | 1 orbit; group size=288; | Yes |
| 50 | 75 | sg-75-2 | [8a39740 90e6c80 99491d5] | 1 orbit; group size=300; | Yes |
| 54 | 81 | sg-81-7 | [f1ed43e 6f092ea 961b79a] | 2 orbits; group size=1296; | Yes |
| 54 | 81 | sg-81-9 | [cc46f9d 10c914b 5b3df84] | 1 orbit; group size=324; | Yes |
| 56 | 84 | sg-84-11 | [428c497 ce7f532 1f5038b] | 1 orbit; group size=168; | Yes |
| 62 | 93 | sg-93-1 | [6f11a32 8069070 317354e] | 1 orbit; group size=186; | Yes |
| 64 | 96 | sg-96-3 | [ 154da2 8c26950 243ec5] | 1 orbit; group size=384; | Yes |
| 72 | 108 | sg-108-22 | [13fcea6 40f00bf 8690324] | 1 orbit; group size=432; | Yes |
| 74 | 111 | sg-111-1 | [11a59d8 778e77a 8c31bf0] | 1 orbit; group size=222; | Yes |
| 78 | 117 | sg-117-3 | [19da997 ff1759a d01e97] | 1 orbit; group size=234; | Yes |
| 80 | 120 | sg-120-5 | [6560487 8cc57 7c444fa] | 1 orbit; group size=960; | Yes |
| 86 | 129 | sg-129-1 | [ceb94f1 8b866c9 120d0b8] | 1 orbit; group size=258; | Yes |
| 96 | 144 | sg-144-184 | [5d79a86 a91c405 ee7bea3] | 1 orbit; group size=1152; | Yes |
| 96 | 144 | sg-144-68 | [189d31f d3f5154 c296ea] | 1 orbit; group size=576; | Yes |
| 98 | 147 | sg-147-1 | [7b6e5dc f83a2ab f260702] | 1 orbit; group size=294; | Yes |
| 98 | 147 | sg-147-5 | [63abc17 616ed67 941d9d5] | 1 orbit; group size=588; | Yes |
| 104 | 156 | sg-156-14 | [cf22d25 ce5e95a 8531456] | 1 orbit; group size=312; | Yes |
| 112 | 168 | sg-168-23 | [3ff8fc0 fc0939b 6644419] | 1 orbit; group size=336; | Yes |
| 112 | 168 | sg-168-42 | [390b970 9e4fe64 977f8b] | 1 orbit; group size=1344; | Yes |
| 112 | 168 | sg-168-43 | [b124780 d141ef7 9f61274] | 2 orbits; group size=168; | Yes |
| 114 | 171 | sg-171-4 | [ 7bcccb 53d9cff a8f0ef6] | 1 orbit; group size=342; | Yes |
| 120 | 180 | sg-180-19 | [936ad19 922a7f7 a0bccb0] | 2 orbits; group size=720; | Yes |
| 122 | 183 | sg-183-1 | [fa6e0dd ff33e1e 7f0fdf0] | 1 orbit; group size=366; | Yes |
| 126 | 189 | sg-189-8 | [b49ead5 b072a7a df02b67] | 1 orbit; group size=378; | Yes |
| 128 | 192 | sg-192-3 | [66cfa2f c55f179 67c332b] | 1 orbit; group size=768; | Yes |
| 128 | 192 | sg-192-4 | [9f48b92 c57e23d fa62395] | 1 orbit; group size=768; | Yes |
| 134 | 201 | sg-201-1 | [16dc14a e542177 bba52e0] | 1 orbit; group size=402; | Yes |
| 144 | 216 | sg-216-153 | [7c62aa2 4523aca 2623f95] | 2 orbits; group size=432; | Yes |
| 144 | 216 | sg-216-42 | [91eb620 db22bd3 c856468] | 1 orbit; group size=864; | Yes |
| 146 | 219 | sg-219-1 | [f80d875 57e066f d2b600c] | 1 orbit; group size=438; | Yes |
| 150 | 225 | sg-225-5 | [27c0064 7ac186 157425b] | 1 orbit; group size=900; | Yes |
| 152 | 228 | sg-228-11 | [e93b041 128006c 3659f1f] | 1 orbit; group size=456; | Yes |
| 158 | 237 | sg-237-1 | [c56299b a2c9aae 63d1a1c] | 1 orbit; group size=474; | Yes |
| 162 | 243 | sg-243-26 | [45337d4 a0b3d09 6a22b70] | 1 orbit; group size=972; | Yes |
| 162 | 243 | sg-243-28 | [5bb7fa8 3774990 7df8016] | 1 orbit; group size=486; | Yes |
| 162 | 243 | sg-243-3 | [76f6a14 111d622 cf33cc5] | 1 orbit; group size=1944; | Yes |
| 168 | 252 | sg-252-27 | [53403e2 5ad8a53 5986bee] | 1 orbit; group size=504; | Yes |
| 168 | 252 | sg-252-40 | [e335421 e85f64d e35b496] | 1 orbit; group size=504; | Yes |
| 182 | 273 | sg-273-3 | [7a258ca ba1b310 4fb1527] | 1 orbit; group size=546; | Yes |
| 182 | 273 | sg-273-4 | [6a1d669 acd50f8 7686037] | 1 orbit; group size=546; | Yes |
| 186 | 279 | sg-279-3 | [8c1958d ae69b0d b81c293] | 1 orbit; group size=558; | Yes |
| 192 | 288 | sg-288-230 | [efff721 68fef0 24c559c] | 1 orbit; group size=1152; | Yes |
| 192 | 288 | sg-288-859 | [f379f21 202c277 553b1ed] | 1 orbit; group size=1152; | Yes |
| 192 | 288 | sg-288-860 | [cc85b59 ffa05de a4060e1] | 1 orbit; group size=2304; | Yes |
| 194 | 291 | sg-291-1 | [cfc6c92 a116a70 f738cc3] | 1 orbit; group size=582; | Yes |
| 200 | 300 | sg-300-43 | [ dacc27 fb412dd 41a8ce0] | 1 orbit; group size=1200; | Yes |
| 206 | 309 | sg-309-1 | [b44e8d5 7cf8f9b f4d90d2] | 1 orbit; group size=618; | Yes |
| 208 | 312 | sg-312-26 | [d08a413 840b27f 2640f5] | 1 orbit; group size=624; | Yes |
| 216 | 324 | sg-324-160 | [4031128 887f71f a477ccc] | 1 orbit; group size=1296; | Yes |
| 216 | 324 | sg-324-50 | [cd54bfa fbe198c 5d15d60] | 1 orbit; group size=1296; | Yes |
| 216 | 324 | sg-324-54 | [fd9347f 44f30b8 79c603b] | 1 orbit; group size=1296; | Yes |
| 216 | 324 | sg-324-58 | [6075719 741a4e 7c4617b] | 2 orbits; group size=648; | Yes |
| 218 | 327 | sg-327-1 | [ 985d35 1a4fb87 7ffe331] | 1 orbit; group size=654; | Yes |
| 222 | 333 | sg-333-4 | [d00138a a725c16 c69ebc7] | 1 orbit; group size=666; | Yes |
| 224 | 336 | sg-336-114 | [ec91ad1 689aaec 3d4a7da] | 1 orbit; group size=1344; | Yes |
| 224 | 336 | sg-336-57 | [ecd8fb4 594d54 7e90cca] | 1 orbit; group size=672; | Yes |
| 234 | 351 | sg-351-8 | [6c768e0 b95f80a b91b7d6] | 1 orbit; group size=702; | Yes |
| 240 | 360 | sg-360-118 | [ffd93a9 307a26b dc4975a] | 1 orbit; group size=1440; | Yes |
| 240 | 360 | sg-360-51 | [31e5b4c 69032cb 5cec1c4] | 2 orbits; group size=1440; | Yes |
| 242 | 363 | sg-363-2 | [12cf76c f3ad4f5 c437f95] | 1 orbit; group size=1452; | Yes |
| 248 | 372 | sg-372-11 | [38826b4 640bf23 62537e3] | 1 orbit; group size=744; | Yes |
| 250 | 375 | sg-375-2 | [c3cd0c2 805599d 7b47da6] | 1 orbit; group size=1500; | Yes |
| 254 | 381 | sg-381-1 | [582492a 25ea812 b128cf3] | 1 orbit; group size=762; | Yes |
| 256 | 384 | sg-384-3 | [c937e4f 962f8bf 142a07d] | 1 orbit; group size=1536; | Yes |
| 256 | 384 | sg-384-4 | [2af2a72 675108e 7560556] | 1 orbit; group size=1536; | Yes |
| 256 | 384 | sg-384-5 | [87e68ef 7b91575 8c1f283] | 1 orbit; group size=768; | Yes |
| 256 | 384 | sg-384-6 | [7c325b5 8b80b0b d880bae] | 1 orbit; group size=1536; | Yes |
| 258 | 387 | sg-387-3 | [a3a4b18 4423573 217177] | 1 orbit; group size=774; | Yes |
| 266 | 399 | sg-399-3 | [f842224 a746ad8 417bc6] | 1 orbit; group size=798; | Yes |
| 266 | 399 | sg-399-4 | [f2fa1d9 743690a ff34b51] | 1 orbit; group size=798; | Yes |
| 278 | 417 | sg-417-1 | [d65b09a 213ff3c 170d437] | 1 orbit; group size=834; | Yes |
| 288 | 432 | sg-432-103 | [5447e53 4c91b4e 99226be] | 1 orbit; group size=1728; | Yes |
| 288 | 432 | sg-432-526 | [c52d525 6383078 39aa89d] | 1 orbit; group size=3456; | Yes |
| 294 | 441 | sg-441-12 | [41f8787 ef4736b 5acb219] | 1 orbit; group size=1764; | Yes |
| 294 | 441 | sg-441-3 | [f17d99e 16b18fc 3a981eb] | 1 orbit; group size=882; | Yes |
| 294 | 441 | sg-441-9 | [33f9a3d 9397075 35f8627] | 2 orbits; group size=882; | Yes |
| 296 | 444 | sg-444-14 | [4cf0e2a e0637d7 ab4a038] | 1 orbit; group size=888; | Yes |
| 302 | 453 | sg-453-1 | [fa7a9d2 e1d0f2a 6f0534c] | 1 orbit; group size=906; | Yes |
| 304 | 456 | sg-456-23 | [8ca990f 4912ce9 8bbd53b] | 1 orbit; group size=912; | Yes |
| 312 | 468 | sg-468-32 | [ad1b96c 645963f dcd18f2] | 1 orbit; group size=936; | Yes |
| 312 | 468 | sg-468-49 | [630ef09 b988090 9409a10] | 1 orbit; group size=936; | Yes |
| 314 | 471 | sg-471-1 | [e787fa0 ceaf835 87bbd80] | 1 orbit; group size=942; | Yes |
| 326 | 489 | sg-489-1 | [ caac4f 3b97051 e3443ff] | 1 orbit; group size=978; | Yes |
| 336 | 504 | sg-504-127 | [2b4522d d0077e9 ebb67a8] | 1 orbit; group size=1008; | Yes |
| 336 | 504 | sg-504-156 | [489380f 68b7649 6d39e77] | 1 orbit; group size=2016; | Yes |
| 336 | 504 | sg-504-157 | [41f3e4d 8c45a11 e2560c9] | 2 orbits; group size=2016; | Yes |
| 336 | 504 | sg-504-158 | [ 75eadb 1a46488 4e84cee] | 2 orbits; group size=504; | Yes |
| 336 | 504 | sg-504-74 | [eb7cd7d c0bf6fb d783d26] | 1 orbit; group size=1008; | Yes |
| 338 | 507 | sg-507-1 | [974573b 81e3ee5 dadf813] | 1 orbit; group size=1014; | Yes |
| 338 | 507 | sg-507-5 | [9a21c4a f1833d3 47664f0] | 1 orbit; group size=2028; | Yes |
| 342 | 513 | sg-513-9 | [4242147 1b7fd20 4134943] | 1 orbit; group size=1026; | Yes |
| 344 | 516 | sg-516-11 | [aca49c0 a9100a9 83f71f6] | 1 orbit; group size=1032; | Yes |
| 350 | 525 | sg-525-5 | [1928bda 950f918 dfe27b4] | 1 orbit; group size=1050; | Yes |
| 360 | 540 | sg-540-88 | [c119fe2 f7ac1ed 7ee6bcb] | 1 orbit; group size=4320; | Yes |
| 362 | 543 | sg-543-1 | [4a78576 7af6576 9be100e] | 1 orbit; group size=1086; | Yes |
| 366 | 549 | sg-549-3 | [9871086 a9496e2 f0c5053] | 1 orbit; group size=1098; | Yes |
| 378 | 567 | sg-567-13 | [8fb1520 28fe462 f600605] | 1 orbit; group size=1134; | Yes |
| 378 | 567 | sg-567-17 | [12b8c21 8af01d7 dce7b8] | 1 orbit; group size=1134; | Yes |
| 378 | 567 | sg-567-21 | [6956651 56b9472 99b4e36] | 2 orbits; group size=567; | Yes |
| 384 | 576 | sg-576-1070 | [325fb02 eb695a8 b743b38] | 1 orbit; group size=2304; | Yes |
| 384 | 576 | sg-576-1071 | [cf645ad fd0c64a 86522a0] | 1 orbit; group size=2304; | Yes |
| 384 | 576 | sg-576-5127 | [1bf1b73 c97b693 b37e00e] | 1 orbit; group size=2304; | Yes |
| 384 | 576 | sg-576-5128 | [864ecb3 5c97f28 63ac32a] | 1 orbit; group size=4608; | Yes |
| 384 | 576 | sg-576-5129 | [501053d 800e9a2 92f441] | 2 orbits; group size=2304; | Yes |
| 386 | 579 | sg-579-1 | [9246ed0 8b3a9c8 d9ef7c2] | 1 orbit; group size=1158; | Yes |
| 392 | 588 | sg-588-11 | [ce6139b 13b7b76 44c46ff] | 1 orbit; group size=1176; | Yes |
| 392 | 588 | sg-588-60 | [cd9ae44 f311e0 5d07457] | 1 orbit; group size=2352; | Yes |
| 398 | 597 | sg-597-1 | [d26871e b2a87ea 4dc8e88] | 1 orbit; group size=1194; | Yes |
| 400 | 600 | sg-600-115 | [c38b167 5a2ebc8 c8ca845] | 1 orbit; group size=2400; | Yes |
| 400 | 600 | sg-600-150 | [5c73b1b 62e40a8 9ea0a52] | 2 orbits; group size=600; | Yes |
| 402 | 603 | sg-603-3 | [bc5b047 49896d6 a5facf0] | 1 orbit; group size=1206; | Yes |
| 416 | 624 | sg-624-60 | [3b4516d bc9e983 2e96af0] | 1 orbit; group size=1248; | Yes |
| 422 | 633 | sg-633-1 | [d1e21ec 35cda25 9a7e6b7] | 1 orbit; group size=1266; | Yes |
| 432 | 648 | sg-648-102 | [ f00894 725170e 7199127] | 2 orbits; group size=1296; | Yes |
| 432 | 648 | sg-648-532 | [b5a7744 56d7be b4be62] | 1 orbit; group size=1296; | Yes |
| 432 | 648 | sg-648-641 | [415f3d3 82326d5 7ff1b89] | 1 orbit; group size=2592; | Yes |
| 432 | 648 | sg-648-702 | [de79ea5 d7b4b6d 91ad760] | 2 orbits; group size=1296; | Yes |
| 432 | 648 | sg-648-94 | [bc38b5d 7a7eb4a dee4e20] | 1 orbit; group size=2592; | Yes |
| 432 | 648 | sg-648-98 | [e21c0a6 8a66a3 f521ee3] | 1 orbit; group size=2592; | Yes |
| 434 | 651 | sg-651-3 | [7cbf499 ff64c3c 1f53a6b] | 1 orbit; group size=1302; | Yes |
| 434 | 651 | sg-651-4 | [9ff0d7a f39ffd4 cfe33b] | 1 orbit; group size=1302; | Yes |
| 438 | 657 | sg-657-4 | [1bc396d 4db267f e7b61f7] | 1 orbit; group size=1314; | Yes |
| 440 | 660 | sg-660-13 | [b6136e7 1888c99 300950f] | 1 orbit; group size=5280; | Yes |
| 446 | 669 | sg-669-1 | [13a9e6f 3c0a473 e2014f0] | 1 orbit; group size=1338; | Yes |
| 448 | 672 | sg-672-1257 | [749c5f0 498e6bc a2c4b21] | 2 orbits; group size=672; | Yes |
| 448 | 672 | sg-672-135 | [7816783 1a8892e 26197f3] | 1 orbit; group size=1344; | Yes |
| 450 | 675 | sg-675-12 | [4485af9 cd54777 b831f33] | 1 orbit; group size=2700; | Yes |
| 456 | 684 | sg-684-32 | [ef2c12c 28824a9 2bdf7ea] | 1 orbit; group size=1368; | Yes |
| 456 | 684 | sg-684-45 | [a54dab3 36ddf74 9ab3e04] | 1 orbit; group size=1368; | Yes |
| 458 | 687 | sg-687-1 | [afa5a42 aa37dd8 f7dd694] | 1 orbit; group size=1374; | Yes |
| 474 | 711 | sg-711-3 | [41605df 63899da aae0fc] | 1 orbit; group size=1422; | Yes |
| 480 | 720 | sg-720-409 | [a7a4362 e8f3292 6bc6a76] | 1 orbit; group size=2880; | Yes |
| 480 | 720 | sg-720-768 | [bf7c143 45d37dd 86f991d] | 1 orbit; group size=2880; | Yes |
| 482 | 723 | sg-723-1 | [474f268 3b1e4c2 d436e0e] | 1 orbit; group size=1446; | Yes |
| 486 | 729 | sg-729-100 | [8fe0f42 173f94 9ec1d29] | 2 orbits; group size=1458; | Yes |
| 486 | 729 | sg-729-34 | [2e8c0c1 a050765 4532ccd] | 1 orbit; group size=5832; | Yes |
| 486 | 729 | sg-729-37 | [e50db3f bac461b dfd81ce] | 1 orbit; group size=5832; | Yes |
| 486 | 729 | sg-729-40 | [aa1e201 86728b2 2277274] | 1 orbit; group size=2916; | Yes |
| 486 | 729 | sg-729-95 | [8669a2f f2649e5 54cb240] | 1 orbit; group size=2916; | Yes |
| 488 | 732 | sg-732-14 | [7b33f2c 1d11863 4a3a955] | 1 orbit; group size=1464; | Yes |
| 494 | 741 | sg-741-3 | [db1a5ab fa7b068 3970315] | 1 orbit; group size=1482; | Yes |
| 494 | 741 | sg-741-4 | [fd86ed0 acbc4b0 88e9bf9] | 1 orbit; group size=1482; | Yes |
| 496 | 744 | sg-744-23 | [7920228 65af8df 17db5f2] | 1 orbit; group size=1488; | Yes |
| 504 | 756 | sg-756-64 | [14fa9e0 402961c d2823a0] | 1 orbit; group size=1512; | Yes |
| 504 | 756 | sg-756-117 | [c3f392d 71dd1 e8ee48e] | 1 orbit; group size=1512; | Yes |
| 518 | 777 | sg-777-3 | [6d2d3bc 3f261e5 ca368c4] | 1 orbit; group size=1554; | Yes |
| 518 | 777 | sg-777-4 | [11dd831 6a58c15 b491d0d] | 1 orbit; group size=1554; | Yes |
| 536 | 804 | sg-804-11 | [ceaeaf3 2da8d9 bfd7654] | 1 orbit; group size=1608; | Yes |
| 542 | 813 | sg-813-1 | [9b38f0a 1bbf76d 1be65cb] | 1 orbit; group size=1626; | Yes |
| 546 | 819 | sg-819-6 | [4212dc9 62aa8da 8ad632e] | 2 orbits; group size=819; | Yes |
| 546 | 819 | sg-819-9 | [6d9743a a166066 f41d6aa] | 1 orbit; group size=1638; | Yes |
| 546 | 819 | sg-819-10 | [884983e 5de29e9 5c21406] | 1 orbit; group size=1638; | Yes |
| 554 | 831 | sg-831-1 | [3b280f2 ace0c77 eb43bd] | 1 orbit; group size=1662; | Yes |
| 558 | 837 | sg-837-8 | [88688b6 b8fe6fb 3970764] | 1 orbit; group size=1674; | Yes |
| 566 | 849 | sg-849-1 | [ 461293 260d5dd 68ac9db] | 1 orbit; group size=1698; | Yes |
| 576 | 864 | sg-864-307 | [1fd3ece 9257545 7ede2ec] | 1 orbit; group size=3456; | Yes |
| 576 | 864 | sg-864-2245 | [7ecc1f1 a6075c0 b352187] | 1 orbit; group size=3456; | Yes |
| 576 | 864 | sg-864-2251 | [12b536f de3229b d1a5c0b] | 1 orbit; group size=6912; | Yes |
| 576 | 864 | sg-864-2666 | [21cef45 82caaae b7a11e5] | 2 orbits; group size=1728; | Yes |
| 578 | 867 | sg-867-2 | [6fafcc6 7e4c71c f49260a] | 1 orbit; group size=3468; | Yes |
| 582 | 873 | sg-873-3 | [fc74e9a a338a4d 5ecd75] | 1 orbit; group size=1746; | Yes |
| 584 | 876 | sg-876-14 | [c706460 39985ff 288f9d8] | 1 orbit; group size=1752; | Yes |
| 592 | 888 | sg-888-26 | [2f867e4 e8eb3c1 2ed4e98] | 1 orbit; group size=1776; | Yes |
| 600 | 900 | sg-900-98 | [e496890 d8f5a3d 7db69fc] | 1 orbit; group size=3600; | Yes |
| 600 | 900 | sg-900-141 | [1249f40 668a5e8 d0293e3] | 1 orbit; group size=3600; | Yes |
| 602 | 903 | sg-903-5 | [c4232e3 b7815a0 b2e4652] | 1 orbit; group size=1806; | Yes |
| 602 | 903 | sg-903-6 | [7d4a9f5 fff040 6d15d76] | 1 orbit; group size=1806; | Yes |
| 608 | 912 | sg-912-57 | [1d245bc 1089049 9631263] | 1 orbit; group size=1824; | Yes |
| 614 | 921 | sg-921-1 | [391239f ade4377 252e350] | 1 orbit; group size=1842; | Yes |
| 618 | 927 | sg-927-3 | [a633ef6 8f0aeae 4c4fd04] | 1 orbit; group size=1854; | Yes |
| 624 | 936 | sg-936-81 | [82902e7 8e1fbb8 2f64208] | 1 orbit; group size=1872; | Yes |
| 624 | 936 | sg-936-138 | [b5c810c e22d05f fe4d0d0] | 1 orbit; group size=1872; | Yes |
| 626 | 939 | sg-939-1 | [e736b81 bf05ab0 ea761c8] | 1 orbit; group size=1878; | Yes |
| 632 | 948 | sg-948-11 | [509ff23 a1cf785 bc2f22d] | 1 orbit; group size=1896; | Yes |
| 640 | 960 | sg-960-11357 | [432f4d3 87a0227 b16cd5c] | 1 orbit; group size=7680; | Yes |
| 648 | 972 | sg-972-122 | [447635b 8775538 ec116cb] | 1 orbit; group size=3888; | Yes |
| 648 | 972 | sg-972-138 | [d28b4a8 e121400 f4ba788] | 1 orbit; group size=3888; | Yes |
| 648 | 972 | sg-972-143 | [3caa68f fc6cfef 1b6d481] | 1 orbit; group size=1944; | Yes |
| 648 | 972 | sg-972-159 | [17dc9dc 335bcc1 a956c6f] | 1 orbit; group size=3888; | Yes |
| 648 | 972 | sg-972-164 | [1d6e324 560a7f9 cb9bb3f] | 1 orbit; group size=1944; | Yes |
| 648 | 972 | sg-972-877 | [be8a78c 13f2ee7 fbd13b6] | 1 orbit; group size=3888; | Yes |
| 650 | 975 | sg-975-5 | [26aeb17 6e98afb 3ae4f17] | 1 orbit; group size=1950; | Yes |
| 654 | 981 | sg-981-4 | [bc4313d 46c4822 4f8c5a4] | 1 orbit; group size=1962; | Yes |
| 662 | 993 | sg-993-1 | [ 5d6754 5488ce9 1dc5973] | 1 orbit; group size=1986; | Yes |
| 666 | 999 | sg-999-9 | [ 9c19e 3e33511 f5836c4] | 1 orbit; group size=1998; | Yes |
| 672 | 1008 | sg-1008-242 | [67d2b9e 5453ce9 83c0674] | 1 orbit; group size=2016; | Yes |
| 672 | 1008 | sg-1008-409 | [40426b4 7056c03 655db1d] | 1 orbit; group size=2016; | Yes |
| 672 | 1008 | sg-1008-517 | [43408b9 d27cd2e 1722b25] | 2 orbits; group size=2016; | Yes |
| 672 | 1008 | sg-1008-912 | [f6cf293 c76696f dfc71a4] | 1 orbit; group size=2016; | Yes |
| 674 | 1011 | sg-1011-1 | [ 8e9b2c a4c9ae0 63c7233] | 1 orbit; group size=2022; | Yes |
| 686 | 1029 | sg-1029-6 | [ f2e414 f90fb50 4d9c97c] | 1 orbit; group size=2058; | Yes |
| 686 | 1029 | sg-1029-9 | [f006325 a6fa043 28dfa2a] | 1 orbit; group size=2058; | Yes |
| 686 | 1029 | sg-1029-12 | [218609c 989196b ab7cfe2] | 1 orbit; group size=4116; | Yes |
| 688 | 1032 | sg-1032-23 | [c89227f a7b83be 9a12d9a] | 1 orbit; group size=2064; | Yes |
| 698 | 1047 | sg-1047-1 | [7f8c114 b1a9e08 e8d40f] | 1 orbit; group size=2094; | Yes |
| 702 | 1053 | sg-1053-30 | [aec7cc4 884acd1 4c10c] | 2 orbits; group size=1053; | Yes |
| 702 | 1053 | sg-1053-34 | [736758f 8512f46 19cb76b] | 1 orbit; group size=2106; | Yes |
| 702 | 1053 | sg-1053-35 | [607d006 551f620 d4aaf00] | 1 orbit; group size=2106; | Yes |
| 702 | 1053 | sg-1053-51 | [3587b67 27988e4 c8fb778] | 2 orbits; group size=1053; | Yes |
| 720 | 1080 | sg-1080-260 | [b80207a 2098205 a646a35] | 1 orbit; group size=2160; | Yes |
| 720 | 1080 | sg-1080-363 | [3e60d0e 58aace3 fe587f3] | 1 orbit; group size=8640; | Yes |
| 720 | 1080 | sg-1080-487 | [c996aae 27cfb07 e69463b] | 2 orbits; group size=2160; | Yes |
| 722 | 1083 | sg-1083-1 | [846d56f f21d228 28016e9] | 1 orbit; group size=2166; | Yes |
| 722 | 1083 | sg-1083-5 | [bcfa692 5d4cd9f 99874bf] | 1 orbit; group size=4332; | Yes |
| 726 | 1089 | sg-1089-5 | [2276763 1563a76 d6235dc] | 1 orbit; group size=4356; | Yes |
| 728 | 1092 | sg-1092-25 | [9bd18d3 3029cfe 8b1b957] | 1 orbit; group size=4368; | Yes |
| 728 | 1092 | sg-1092-68 | [f7285a8 a637da3 88e9666] | 1 orbit; group size=2184; | Yes |
| 728 | 1092 | sg-1092-69 | [e7f09dd 425bc2e 4c35156] | 1 orbit; group size=2184; | Yes |
| 734 | 1101 | sg-1101-1 | [afed248 3b5024 8e3d03d] | 1 orbit; group size=2202; | Yes |
| 744 | 1116 | sg-1116-27 | [d8e4b28 6dda9d6 cbd3323] | 1 orbit; group size=2232; | Yes |
| 744 | 1116 | sg-1116-40 | [4c6fe45 d6a4a65 a84c96e] | 1 orbit; group size=2232; | Yes |
| 746 | 1119 | sg-1119-1 | [597bcf5 cd0300 4a145eb] | 1 orbit; group size=2238; | Yes |
| 750 | 1125 | sg-1125-7 | [ecaca7f 12d9381 107ccb7] | 1 orbit; group size=4500; | Yes |
| 758 | 1137 | sg-1137-1 | [923bafd 1fce7df c9539c7] | 1 orbit; group size=2274; | Yes |
| 762 | 1143 | sg-1143-4 | [9e0f9bb cf98e61 15c3b08] | 1 orbit; group size=2286; | Yes |
| 774 | 1161 | sg-1161-9 | [6d0ac1f fd36ba0 5859472] | 1 orbit; group size=2322; | Yes |
| 776 | 1164 | sg-1164-14 | [53302de ae291a6 cb23e04] | 1 orbit; group size=2328; | Yes |
| 784 | 1176 | sg-1176-23 | [25b1c45 261c4f3 a9b40c4] | 1 orbit; group size=2352; | Yes |
| 784 | 1176 | sg-1176-42 | [aeea6b6 bb11e6a 98bf33a] | 2 orbits; group size=1176; | Yes |
| 784 | 1176 | sg-1176-183 | [97f04c3 f642363 59b1fc6] | 1 orbit; group size=4704; | Yes |
| 784 | 1176 | sg-1176-215 | [7b7598d a9a2110 f3f1817] | 2 orbits; group size=1176; | Yes |
| 784 | 1176 | sg-1176-220 | [c62772b a48cd81 1ba71da] | 2 orbits; group size=1176; | Yes |
| 794 | 1191 | sg-1191-1 | [3fa6e02 92fe6dc 4a3ae00] | 1 orbit; group size=2382; | Yes |
| 798 | 1197 | sg-1197-9 | [e56e30d e90ba4b c17755] | 2 orbits; group size=1197; | Yes |
| 798 | 1197 | sg-1197-12 | [2f807f6 d6f0064 62c47a6] | 1 orbit; group size=2394; | Yes |
| 798 | 1197 | sg-1197-13 | [e8b3202 b32469b 501f5ae] | 1 orbit; group size=2394; | Yes |
| 800 | 1200 | sg-1200-384 | [ 99c9fb db46c15 f2436ed] | 1 orbit; group size=4800; | Yes |