This is a list of groups with unproven minimal discriminant for at least one signature.
Number of groups: 46 Missing minimal discriminants: 157
| Not yet proven minimal discriminants of degree 12 | |||||||||
| G | Name | |G| | 0 | 2 | 4 | 6 | 8 | 10 | 12 |
|---|---|---|---|---|---|---|---|---|---|
| 12T118 | 1/2[3^3:2]eD(4) | 216 | 16747366663125 | 61792176640000 | - | - | - | - | 130737230592525... 22 digits |
| 12T119 | [3^3:2]4 | 216 | 816721876953125 | - | 756680642578125 | - | - | - | 152510796910344... 22 digits |
| 12T120 | 1/2[3^3:2]cD(4) | 216 | 10675896320000000 | 1997739514546875 | - | - | - | - | 767088672943108... 21 digits |
| 12T129 | [1/4E(4)^3:3:2]3 | 288 | 6273994714341453 | - | 72920910586937 | 1157018619904000 | - | - | 191157791849020... 20 digits |
| 12T165 | [1/4E(4)^3:3:2]3 | 576 | 27343846686767173 | 10034108140288 | 51280984141312 | 465535115299584 | - | - | 3467524198044535808 |
| 12T179 | L(2,11) | 660 | 236196000000000... 20 digits | - | - | - | - | - | 175754771514233... 30 digits |
| 12T181 | M_10(12)=[A_6[1/360]{M_10}A_6]2_2 | 720 | - | - | 81091461181640625 | - | - | - | 278363331968540... 27 digits |
| 12T182 | PGL(2,9)(12)=[A_6[1/360]{M_10}A_6]2 | 720 | 737787444791049 | - | 688731938571157504 | - | - | - | 109541175179805... 35 digits |
| 12T207 | [1/9.A(4)^3]S(3)_6 | 1152 | 300633976040358609 | 46853278859264 | 121744337404773321 | - | 1542643968291041809 | - | 548838239130076... 21 digits |
| 12T212 | [3^4:2]D(4)_8 | 1296 | - | - | 27053876000390625 | - | - | - | 18301663674469140625 |
| 12T214 | [1/2.F_36^2]2 | 1296 | 9196905369600 | - | 314281984000000 | - | 7169347584000000 | - | 657215033344000000 |
| 12T218 | PGL(2,11) | 1320 | 181746364470979... 20 digits | 5063654109261856768 | - | - | - | - | 104461015375851... 32 digits |
| 12T220 | M_10.2(12)=A_6.E_4(12)=[S_6[1/720]{M_10}S_6]2 | 1440 | 570630428688384 | - | 9906778275840000 | - | - | - | 825074893484552... 24 digits |
| 12T233 | 1/2[3^4:2]S(4) | 1944 | 3721921217815808 | 102473995227136 | - | - | - | - | 291779481194720... 23 digits |
| 12T242 | [3^4:2^3]E(4) | 2592 | 3223820250000 | - | 200052736000000 | - | 361304064000000 | - | 3304600436736000000 |
| 12T243 | [3^4:2^2]D(4)_4 | 2592 | 1445381017600 | - | 82591744000000 | - | 75990852606099456 | - | 742567404136097... 21 digits |
| 12T246 | 1/2[S(3)^4]E(4) | 2592 | 10522669875200 | - | 47437409102856192 | - | 2434799525406328125 | - | 104408222241403... 22 digits |
| 12T247 | [3^4:2^2]D(4)_2 | 2592 | 37220699340800 | - | 4829833276424192 | - | 608699881351582... 20 digits | - | 98634829897080078125 |
| 12T248 | [3^4:2^2]D(4) | 2592 | 418214788173 | 3686058921875 | 22133398578125 | 763988197671875 | 870047469828125 | - | 190169767691703125 |
| 12T251 | [1/3.A(4)^3]S(3)_2 | 3456 | 1180277988793361989 | 8226356490141696 | 2205324968411706624 | - | 141915599098988... 20 digits | - | 361320442824574... 23 digits |
| 12T253 | [E(4)^3:3^2:2]3 | 3456 | 14326489286475597 | - | 3010452115082688 | 2192326397141643 | 192668935365292032 | - | 103398629830581... 21 digits |
| 12T254 | [1/3.A(4)^3]S(3)_6 | 3456 | 2691892898229857 | 101366746578944 | 9253861191881728 | - | 150946700705943552 | - | 537864428102409... 21 digits |
| 12T262 | 1/2[S(3)^4]dD(4) | 5184 | 18743281328125 | 11696975859375 | 405761511015625 | 72903076380000000 | 8242408000000000 | - | 582529834184772... 20 digits |
| 12T263 | 1/2[S(3)^4]cD(4) | 5184 | 226060880000000 | - | 134648064453125 | - | 2081208020000000 | - | 308834363743446... 23 digits |
| 12T267 | [3^4:2^3]D(4) | 5184 | 758113903872 | 774316796875 | 7792666578125 | 114167544046875 | 108260103453125 | - | 216397510958030... 22 digits |
| 12T268 | [E(4)^3:3^2:2]S(3) | 6912 | 8812976644800 | 22561220210688 | 671368686338048 | 674063683944448 | 235029405957465701 | - | 886659360852027... 20 digits |
| 12T269 | [L(6)^2]2=L(6)wr2 | 7200 | 1154707132329 | - | 7795264000000 | - | 20721551829630976 | - | 315655196224000000 |
| 12T272 | M_11(12) | 7920 | - | - | 95241470237660224 | - | - | - | 516405276707499... 40 digits |
| 12T273 | [1/4.S(4)^3]3 | 10368 | 667989519174621 | - | 6107332746739392 | 190740679757523 | 42751329227175744 | - | 3848737976751403008 |
| 12T276 | 1/2[1/4.S(4)^3]S(3) | 10368 | 25648237171053568 | 9999618490431 | 12825858286720000 | - | 102592948684214272 | - | 439551057264443... 20 digits |
| 12T278 | 1/2[(L(6):2)^2]2 | 14400 | 3125000000000000 | - | 42684757595703125 | - | 212980476623124... 25 digits | - | 145150636719698... 23 digits |
| 12T279 | [1/2.(L(6):2)^2]2 | 14400 | 251197647814656 | - | 15085980625000000 | - | 531806453935573... 20 digits | - | 600202060582217... 21 digits |
| 12T283 | [1/4.S(4)^3]S(3) | 20736 | 27738735411200 | 1040220487744 | 72772312301568 | 151097798504448 | 446335885288931328 | - | 3955156107842048000 |
| 12T284 | [1/2.S(4)^3]3 | 20736 | 24062748946488729 | - | 6009464919241 | - | 1042556789667904 | - | 1469475585228156961 |
| 12T288 | [(L(6):2)^2]2=L(6):2wr2 | 28800 | 1280000000000000 | 15249733609375 | 5212953720000000000 | 282094946848236... 24 digits | 285013360761577... 24 digits | - | 653220917196974... 26 digits |
| 12T290 | [1/2.S(4)^3]S(3) | 41472 | 356147561961 | - | 22968123345049 | - | 6304677604000000 | - | 1331087116566790144 |
| 12T291 | 1/2[S(4)^3]S(3) | 41472 | 753326120768512 | 42181217484800 | 102535858081792 | - | 6306496273445625 | - | 1205321793229619200 |
| 12T292 | [S(4)^3]3=S(4)wr3 | 41472 | 795778894841 | 562523516779 | 913034947181 | 5029275805211 | 28465832149069 | 174247057020339 | 1816178885163041 |
| 12T294 | [S(4)^3]S(3)=S(4)wrS(3) | 82944 | 58300115053 | 201725903419 | 1298044997069 | 20962295872256 | 56736041147648 | 1050412485012224 | 16284561299578112 |
| 12T295 | M(12) | 95040 | 9440732714731831296 | - | 6306188441142951936 | - | - | - | 650857913561460... 40 digits |
| 12T296 | [A(6)^2]2=A(6)wr2 | 259200 | 1131268359321 | - | 14122564000000 | - | 185575042440680... 31 digits | - | 4477754360970250000 |
| 12T297 | [1/2.S(6)^2]2 | 518400 | 419659091721 | - | 6266886390625 | - | 593559277277184 | - | 141133555830438... 20 digits |
| 12T298 | 1/2[S(6)^2]2 | 518400 | 953192480689650... 20 digits | - | 112148480000000 | - | 443586725883118597 | - | 3736585128125000000 |
| 12T299 | [S(6)^2]2=S(6)wr2 | 1036800 | 46110822453 | 225117671875 | 794230140625 | 4008072671875 | 20005227203125 | 115472708921875 | 696248958578125 |
| 12T300 | A(12) | 239500800 | 32293067924601 | - | 584769075636001 | - | 575692073165056 | - | 120306400534954... 38 digits |
| 12T301 | S(12) | 479001600 | 53996413117 | 178357630079 | 764131428301 | 5192327768191 | 18137291911168 | 7770704775363639 | 42775710278251337 |
6 | 2,37 ms