This is a list of groups with unproven minimal discriminant for at least one signature.
Number of groups: 36 Missing minimal discriminants: 94
| 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 | - | - | - | - | 382182329951539... 21 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 |
| 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 |
| 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 |
| 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 |
| 12T251 | [1/3.A(4)^3]S(3)_2 | 3456 | 1180277988793361989 | 6908018302866503 | 2205324968411706624 | - | 141915599098988... 20 digits | - | 361320442824574... 23 digits |
| 12T253 | [E(4)^3:3^2:2]3 | 3456 | 14326489286475597 | - | 3010452115082688 | 116008826114048 | 20675728420770141 | - | 3013350709234919417 |
| 12T254 | [1/3.A(4)^3]S(3)_6 | 3456 | 2691892898229857 | 101366746578944 | 9253861191881728 | - | 150946700705943552 | - | 537864428102409... 21 digits |
| 12T263 | 1/2[S(3)^4]cD(4) | 5184 | 226060880000000 | - | 134648064453125 | - | 2081208020000000 | - | 308834363743446... 23 digits |
| 12T268 | [E(4)^3:3^2:2]S(3) | 6912 | 2666360867648 | 22561220210688 | 71445580019968 | 236090310163200 | 20667048044960000 | - | 4537570768825045248 |
| 12T269 | [L(6)^2]2=L(6)wr2 | 7200 | 1154707132329 | - | 7795264000000 | - | 20256319376141809 | - | 315655196224000000 |
| 12T272 | M_11(12) | 7920 | - | - | 95241470237660224 | - | - | - | 516405276707499... 40 digits |
| 12T273 | [1/4.S(4)^3]3 | 10368 | 667989519174621 | - | 857411863773849 | 190196275010287 | 12810942871304949 | - | 3848737976751403008 |
| 12T276 | 1/2[1/4.S(4)^3]S(3) | 10368 | 7897693103557888 | 6683247553823 | 12825858286720000 | - | 24440487485910541 | - | 419123858646813... 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 | 5201099360469 | 1040220487744 | 72772312301568 | 151097798504448 | 42001794943188992 | - | 3955156107842048000 |
| 12T284 | [1/2.S(4)^3]3 | 20736 | 546443734290496 | - | 6009464919241 | - | 447746150160169 | - | 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 | - | 20366257384201 | - | 1517082323967081 | - | 1331087116566790144 |
| 12T291 | 1/2[S(4)^3]S(3) | 41472 | 753326120768512 | 5870105724575 | 102535858081792 | - | 5208973969903616 | - | 1205321793229619200 |
| 12T292 | [S(4)^3]3=S(4)wr3 | 41472 | 795778894841 | 562523516779 | 913034947181 | 4544064034643 | 21740753657693 | 174247057020339 | 1816178885163041 |
| 12T294 | [S(4)^3]S(3)=S(4)wrS(3) | 82944 | 58300115053 | 201725903419 | 1103748032677 | 15538803790592 | 56736041147648 | 644264703963904 | 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 | - | 275709925290765625 |
| 12T298 | 1/2[S(6)^2]2 | 518400 | 953192480689650... 20 digits | - | 112148480000000 | - | 443586725883118597 | - | 3736585128125000000 |
| 12T299 | [S(6)^2]2=S(6)wr2 | 1036800 | 44376802641 | 182876734375 | 794230140625 | 3971052359375 | 20005227203125 | 115472708921875 | 696248958578125 |
| 12T300 | A(12) | 239500800 | 32293067924601 | - | 584769075636001 | - | 575692073165056 | - | 7434312436006681 |
| 12T301 | S(12) | 479001600 | 53996413117 | 178357630079 | 764131428301 | 5192327768191 | 18137291911168 | 7770704775363639 | 42775710278251337 |
6 | 1,15 ms