Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 16.0.396...000.48 | $x^{16} + 112 x^{14} + 5145 x^{12} + 124852 x^{10} + 1714314 x^{8} + 13176688 x^{6} + 51765560 x^{4} + 79060128 x^{2} + 5764801$ | $2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[4, 40, 80]$ |
| 16.0.555...296.2 | $x^{16} - 2 x^{15} + 56 x^{14} - 36 x^{13} + 1298 x^{12} + 246 x^{11} + 17477 x^{10} + 11672 x^{9} + 149104 x^{8} + 117458 x^{7} + 784597 x^{6} + 588454 x^{5} + 2445840 x^{4} + 1448666 x^{3} + 3937755 x^{2} + 2216914 x + 1884046$ | $2^{16}\cdot 43^{2}\cdot 2777^{6}$ | $C_2^6.\GL(2,\mathbb{Z}/4)$ (as 16T1683) | $[4, 2936]$ |
| 16.0.807...000.1 | $x^{16} + 66 x^{14} + 1741 x^{12} + 24271 x^{10} + 195396 x^{8} + 917220 x^{6} + 2360880 x^{4} + 2730825 x^{2} + 578225$ | $2^{16}\cdot 5^{10}\cdot 101^{5}\cdot 229^{3}$ | $C_4^4:D_8$ (as 16T1642) | $[2, 2, 2526]$ |
| 16.0.821...000.4 | $x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1364 x^{12} - 4908 x^{11} + 18698 x^{10} - 54220 x^{9} + 170261 x^{8} - 399988 x^{7} + 1060918 x^{6} - 1966724 x^{5} + 4429644 x^{4} - 5961476 x^{3} + 11232934 x^{2} - 8526276 x + 12941281$ | $2^{32}\cdot 5^{12}\cdot 23^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[3, 30, 120]$ |
| 16.0.921...656.2 | $x^{16} + 86 x^{14} + 2902 x^{12} + 49411 x^{10} + 453495 x^{8} + 2216251 x^{6} + 5273394 x^{4} + 4825962 x^{2} + 1003941$ | $2^{16}\cdot 3^{5}\cdot 19^{6}\cdot 103^{7}$ | $C_4^3.\GL(2,\mathbb{Z}/4)$ (as 16T1674) | $[2, 2, 2996]$ |
| 16.0.104...000.1 | $x^{16} + 76 x^{14} + 2245 x^{12} + 33403 x^{10} + 273118 x^{8} + 1259002 x^{6} + 3175017 x^{4} + 3889260 x^{2} + 1600189$ | $2^{16}\cdot 5^{8}\cdot 31^{3}\cdot 41^{3}\cdot 1259^{3}$ | $Q_8^2.A_4^2.D_4$ (as 16T1871) | $[2, 2, 2564]$ |
| 16.0.115...000.1 | $x^{16} + 85 x^{14} + 2709 x^{12} + 41896 x^{10} + 344677 x^{8} + 1544032 x^{6} + 3659235 x^{4} + 4140999 x^{2} + 1652141$ | $2^{16}\cdot 5^{8}\cdot 1652141^{3}$ | $C_2^6.S_4\wr C_2$ (as 16T1872) | $[2, 5530]$ |
| 16.0.125...000.1 | $x^{16} + 87 x^{14} + 3102 x^{12} + 58812 x^{10} + 639588 x^{8} + 3982276 x^{6} + 13169203 x^{4} + 18412939 x^{2} + 2627641$ | $2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 1621^{4}$ | $C_2^6:D_8$ (as 16T1275) | $[11400]$ |
| 16.0.143...689.1 | $x^{16} - 6 x^{15} + 64 x^{14} - 278 x^{13} + 1839 x^{12} - 6330 x^{11} + 31872 x^{10} - 88467 x^{9} + 366078 x^{8} - 810784 x^{7} + 2860699 x^{6} - 4845620 x^{5} + 14901406 x^{4} - 17463475 x^{3} + 47580730 x^{2} - 29325087 x + 72060551$ | $17^{14}\cdot 31^{8}$ | $C_8\times C_2$ (as 16T5) | $[3, 3, 3, 765]$ |
| 16.0.144...496.6 | $x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1366 x^{12} - 4920 x^{11} + 18684 x^{10} - 54040 x^{9} + 169095 x^{8} - 396536 x^{7} + 1046676 x^{6} - 1935192 x^{5} + 4326842 x^{4} - 5804824 x^{3} + 11026220 x^{2} - 8393144 x + 13286974$ | $2^{48}\cdot 3^{8}\cdot 23^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[4, 40, 120]$ |
| 16.0.153...625.2 | $x^{16} - 3 x^{15} + 82 x^{14} - 205 x^{13} + 2798 x^{12} - 5607 x^{11} + 52307 x^{10} - 84419 x^{9} + 591665 x^{8} - 830772 x^{7} + 4121484 x^{6} - 5423962 x^{5} + 17725464 x^{4} - 17389496 x^{3} + 45696860 x^{2} - 28773927 x + 50639329$ | $5^{8}\cdot 29^{8}\cdot 941^{4}$ | $C_4^2:D_4$ (as 16T394) | $[2, 2, 3248]$ |
| 16.0.157...000.1 | $x^{16} + 94 x^{14} + 3466 x^{12} + 64966 x^{10} + 672448 x^{8} + 3914768 x^{6} + 12530639 x^{4} + 20148678 x^{2} + 12313081$ | $2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 29^{10}$ | $C_4^2:D_4$ (as 16T305) | $[2, 2, 2, 1654]$ |
| 16.0.186...000.12 | $x^{16} - 8 x^{15} + 44 x^{14} - 168 x^{13} + 684 x^{12} - 2284 x^{11} + 9374 x^{10} - 28984 x^{9} + 104261 x^{8} - 263116 x^{7} + 750810 x^{6} - 1433520 x^{5} + 3188158 x^{4} - 4245960 x^{3} + 7275852 x^{2} - 5355144 x + 6851556$ | $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 19^{8}$ | $C_2^4$ (as 16T3) | $[4, 8, 8, 48]$ |
| 16.0.236...000.1 | $x^{16} + 80 x^{14} + 2600 x^{12} + 44000 x^{10} + 412500 x^{8} + 2100000 x^{6} + 5250000 x^{4} + 5000000 x^{2} + 781250$ | $2^{79}\cdot 5^{8}$ | $C_{16}$ (as 16T1) | $[11458]$ |
| 16.0.269...625.4 | $x^{16} - x^{15} - 15 x^{14} + 47 x^{13} + 255 x^{12} - 1999 x^{11} + 4971 x^{10} - 6331 x^{9} - 3164 x^{8} + 22124 x^{7} - 12352 x^{6} - 29264 x^{5} + 196928 x^{4} - 293824 x^{3} + 335616 x^{2} - 212992 x + 65536$ | $3^{8}\cdot 5^{12}\cdot 17^{14}$ | $C_8\times C_2$ (as 16T5) | $[2, 17520]$ |
| 16.0.303...000.1 | $x^{16} - 8 x^{15} + 116 x^{14} - 552 x^{13} + 4636 x^{12} - 17024 x^{11} + 97564 x^{10} - 298656 x^{9} + 1206042 x^{8} - 3186136 x^{7} + 8682804 x^{6} - 17888024 x^{5} + 34056956 x^{4} - 49012432 x^{3} + 62192636 x^{2} - 51389008 x + 32169161$ | $2^{44}\cdot 5^{14}\cdot 41^{4}$ | $(C_2^2\times D_4):C_4$ (as 16T315) | $[2, 2, 2, 2, 942]$ |
| 16.0.307...000.1 | $x^{16} + 99 x^{14} + 3773 x^{12} + 73404 x^{10} + 804493 x^{8} + 5096286 x^{6} + 18172908 x^{4} + 33258186 x^{2} + 24019801$ | $2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{10}$ | $C_4^2:C_2^2$ (as 16T106) | $[2, 2, 2, 2330]$ |
| 16.0.315...568.1 | $x^{16} + 102 x^{14} + 4284 x^{12} + 95472 x^{10} + 1211760 x^{8} + 8724672 x^{6} + 33312384 x^{4} + 57106944 x^{2} + 28553472$ | $2^{24}\cdot 3^{8}\cdot 17^{15}$ | $C_{16}$ (as 16T1) | $[2, 2, 4162]$ |
| 16.0.361...024.1 | $x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1366 x^{12} - 4920 x^{11} + 18684 x^{10} - 54040 x^{9} + 169097 x^{8} - 396544 x^{7} + 1046352 x^{6} - 1934192 x^{5} + 4331632 x^{4} - 5816080 x^{3} + 11014984 x^{2} - 8376112 x + 13289086$ | $2^{62}\cdot 23^{8}$ | $C_8\times C_2$ (as 16T5) | $[30840]$ |
| 16.0.379...625.4 | $x^{16} - 6 x^{15} + 72 x^{14} - 320 x^{13} + 2329 x^{12} - 8230 x^{11} + 45140 x^{10} - 128635 x^{9} + 576030 x^{8} - 1307274 x^{7} + 4968321 x^{6} - 8598346 x^{5} + 28370042 x^{4} - 33852655 x^{3} + 98545822 x^{2} - 61631729 x + 160839449$ | $5^{8}\cdot 7^{8}\cdot 17^{14}$ | $C_8\times C_2$ (as 16T5) | $[24272]$ |
| 16.0.379...000.1 | $x^{16} + 101 x^{14} + 3757 x^{12} + 70889 x^{10} + 762106 x^{8} + 4851165 x^{6} + 18017505 x^{4} + 35937000 x^{2} + 29648025$ | $2^{16}\cdot 3^{4}\cdot 5^{10}\cdot 11^{4}\cdot 29^{8}$ | $C_2^4:D_4$ (as 16T329) | $[2, 2, 2, 2, 1640]$ |
| 16.0.396...000.12 | $x^{16} + 112 x^{14} + 5096 x^{12} + 120736 x^{10} + 1582259 x^{8} + 11159848 x^{6} + 37177084 x^{4} + 39530064 x^{2} + 5764801$ | $2^{48}\cdot 5^{12}\cdot 7^{8}$ | $C_4^2$ (as 16T4) | $[2, 8, 1360]$ |
| 16.0.396...000.14 | $x^{16} + 64 x^{14} + 1544 x^{12} + 18048 x^{10} + 116179 x^{8} + 467336 x^{6} + 1590796 x^{4} + 4533712 x^{2} + 7612081$ | $2^{48}\cdot 5^{12}\cdot 7^{8}$ | $C_4^2$ (as 16T4) | $[2, 2, 2, 10, 170]$ |
| 16.0.428...000.1 | $x^{16} + 78 x^{14} - 60 x^{13} + 2453 x^{12} - 3192 x^{11} + 41698 x^{10} - 66432 x^{9} + 417537 x^{8} - 703088 x^{7} + 2478520 x^{6} - 3941164 x^{5} + 8382885 x^{4} - 11014656 x^{3} + 14677804 x^{2} - 10467112 x + 5722919$ | $2^{32}\cdot 5^{8}\cdot 761^{5}$ | $C_4^2.C_2\wr C_2^2$ (as 16T1163) | $[2, 2, 3198]$ |
| 16.0.456...000.7 | $x^{16} - 8 x^{15} + 40 x^{14} - 140 x^{13} + 616 x^{12} - 2240 x^{11} + 8426 x^{10} - 23980 x^{9} + 78891 x^{8} - 192320 x^{7} + 561050 x^{6} - 1090292 x^{5} + 2866466 x^{4} - 4102400 x^{3} + 9158010 x^{2} - 7262120 x + 14611195$ | $2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 19^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[2, 4, 16, 80]$ |
| 16.0.488...625.2 | $x^{16} - 4 x^{15} + 44 x^{14} - 144 x^{13} + 1097 x^{12} - 3400 x^{11} + 18491 x^{10} - 52652 x^{9} + 222830 x^{8} - 586952 x^{7} + 1901988 x^{6} - 4222836 x^{5} + 10063831 x^{4} - 16091218 x^{3} + 22963320 x^{2} - 12168844 x + 25104719$ | $5^{8}\cdot 13^{4}\cdot 29^{6}\cdot 271181^{2}$ | $C_2^7.D_4$ (as 16T1177) | $[6, 1920]$ |
| 16.0.524...000.5 | $x^{16} + 32 x^{14} - 20 x^{13} + 770 x^{12} + 80 x^{11} + 14572 x^{10} + 6960 x^{9} + 190844 x^{8} + 143120 x^{7} + 1964998 x^{6} + 2116800 x^{5} + 14613895 x^{4} + 14908160 x^{3} + 60000708 x^{2} + 36634200 x + 94703321$ | $2^{32}\cdot 5^{12}\cdot 29^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[4, 16, 240]$ |
| 16.0.538...000.2 | $x^{16} - 8 x^{15} + 52 x^{14} - 224 x^{13} + 1054 x^{12} - 3776 x^{11} + 15772 x^{10} - 48632 x^{9} + 177651 x^{8} - 452912 x^{7} + 1377556 x^{6} - 2717984 x^{5} + 6750322 x^{4} - 9418640 x^{3} + 18896152 x^{2} - 14576384 x + 23710844$ | $2^{44}\cdot 5^{8}\cdot 23^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[2, 40, 240]$ |
| 16.0.577...000.1 | $x^{16} + 101 x^{14} + 3986 x^{12} + 78850 x^{10} + 834858 x^{8} + 4716149 x^{6} + 13451454 x^{4} + 17742385 x^{2} + 8260705$ | $2^{16}\cdot 5^{9}\cdot 1652141^{3}$ | $C_2^6.S_4^2:C_4$ (as 16T1888) | $[2, 9024]$ |
| 16.0.613...000.1 | $x^{16} + 72 x^{14} + 2052 x^{12} + 29918 x^{10} + 242638 x^{8} + 1121148 x^{6} + 2895067 x^{4} + 3839542 x^{2} + 2019241$ | $2^{40}\cdot 5^{8}\cdot 7^{4}\cdot 29^{6}$ | $C_4^2.C_2^3$ (as 16T264) | $[2, 2, 2740]$ |
| 16.0.613...000.2 | $x^{16} + 96 x^{14} + 3664 x^{12} + 71322 x^{10} + 755974 x^{8} + 4289544 x^{6} + 11756031 x^{4} + 11876718 x^{2} + 2019241$ | $2^{40}\cdot 5^{8}\cdot 7^{4}\cdot 29^{6}$ | $C_4^2.C_2^3$ (as 16T264) | $[2, 2, 3140]$ |
| 16.0.672...000.2 | $x^{16} - 2 x^{15} + 49 x^{14} + 18 x^{13} + 1033 x^{12} + 1768 x^{11} + 16241 x^{10} + 34754 x^{9} + 169508 x^{8} + 362188 x^{7} + 1138799 x^{6} + 2001274 x^{5} + 4821683 x^{4} + 7255146 x^{3} + 12306656 x^{2} + 10628644 x + 8643461$ | $2^{16}\cdot 5^{14}\cdot 29^{6}\cdot 41^{4}$ | $D_4^2:C_4$ (as 16T646) | $[2, 2, 2, 2, 792]$ |
| 16.0.697...376.4 | $x^{16} + 112 x^{14} + 5096 x^{12} + 120736 x^{10} + 1584660 x^{8} + 11294304 x^{6} + 39530064 x^{4} + 52706752 x^{2} + 5764801$ | $2^{64}\cdot 3^{8}\cdot 7^{8}$ | $C_8\times C_2$ (as 16T5) | $[2, 2, 2, 2482]$ |
| 16.0.697...376.6 | $x^{16} + 80 x^{14} + 2600 x^{12} + 44000 x^{10} + 412500 x^{8} + 2100000 x^{6} + 5250000 x^{4} + 5000000 x^{2} + 14371681$ | $2^{64}\cdot 3^{8}\cdot 7^{8}$ | $C_8\times C_2$ (as 16T5) | $[2, 8, 1168]$ |
| 16.0.766...000.5 | $x^{16} - 8 x^{15} + 84 x^{14} - 448 x^{13} + 2650 x^{12} - 10440 x^{11} + 42320 x^{10} - 125624 x^{9} + 372741 x^{8} - 835472 x^{7} + 2002148 x^{6} - 3512472 x^{5} + 8820932 x^{4} - 12559848 x^{3} + 24807628 x^{2} - 19004192 x + 22430641$ | $2^{48}\cdot 5^{8}\cdot 17^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[4, 4, 4, 312]$ |
| 16.0.773...000.13 | $x^{16} - 8 x^{15} + 10 x^{14} + 70 x^{13} - 74 x^{12} - 830 x^{11} + 1430 x^{10} + 3080 x^{9} - 4092 x^{8} - 15818 x^{7} + 30302 x^{6} - 8654 x^{5} - 18259 x^{4} + 19324 x^{3} + 277734 x^{2} - 284216 x + 588184$ | $2^{12}\cdot 3^{8}\cdot 5^{4}\cdot 7^{8}\cdot 41^{8}$ | $C_2^3:D_4$ (as 16T105) | $[28, 364]$ |
| 16.0.816...000.1 | $x^{16} + 80 x^{14} + 2516 x^{12} + 39920 x^{10} + 340044 x^{8} + 1515360 x^{6} + 3171760 x^{4} + 2689600 x^{2} + 672400$ | $2^{44}\cdot 5^{10}\cdot 41^{6}$ | $C_2^4.(C_4\times D_4)$ (as 16T869) | $[2, 2, 2, 1458]$ |
| 16.0.835...376.1 | $x^{16} - 8 x^{15} + 96 x^{14} - 400 x^{13} + 2668 x^{12} - 6304 x^{11} + 33752 x^{10} - 44128 x^{9} + 246024 x^{8} - 180656 x^{7} + 1196888 x^{6} - 721360 x^{5} + 3884800 x^{4} - 2790640 x^{3} + 7393712 x^{2} - 5546400 x + 6575522$ | $2^{62}\cdot 7^{6}\cdot 17^{2}\cdot 73^{2}$ | $(C_2^2\times D_4^2):C_4$ (as 16T1086) | $[2, 2, 2, 1876]$ |
| 16.0.835...376.2 | $x^{16} + 64 x^{14} + 2224 x^{12} - 592 x^{11} + 41104 x^{10} - 36672 x^{9} + 458360 x^{8} - 600224 x^{7} + 3274368 x^{6} - 4535584 x^{5} + 13795312 x^{4} - 14357632 x^{3} + 26002080 x^{2} - 13908224 x + 16366712$ | $2^{62}\cdot 7^{6}\cdot 17^{2}\cdot 73^{2}$ | $(C_2^2\times D_4^2):C_4$ (as 16T1086) | $[2, 2, 2, 1446]$ |
| 16.0.879...625.1 | $x^{16} - 6 x^{15} + 95 x^{14} - 420 x^{13} + 3516 x^{12} - 12135 x^{11} + 67230 x^{10} - 183922 x^{9} + 717275 x^{8} - 1612435 x^{7} + 4288394 x^{6} - 8562175 x^{5} + 14806730 x^{4} - 25438633 x^{3} + 37525970 x^{2} - 24641603 x + 61523369$ | $5^{10}\cdot 547889^{4}$ | $S_4^2:C_4$ (as 16T1496) | $[15795]$ |
| 16.0.894...000.5 | $x^{16} - 8 x^{15} + 76 x^{14} - 392 x^{13} + 2324 x^{12} - 9212 x^{11} + 41682 x^{10} - 132356 x^{9} + 487381 x^{8} - 1242420 x^{7} + 3826142 x^{6} - 7599516 x^{5} + 19732124 x^{4} - 28026260 x^{3} + 60832030 x^{2} - 47911596 x + 84589601$ | $2^{32}\cdot 5^{12}\cdot 31^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[2, 4, 20, 240]$ |
| 16.0.901...849.4 | $x^{16} - 6 x^{15} + 80 x^{14} - 362 x^{13} + 2875 x^{12} - 10382 x^{11} + 61600 x^{10} - 179463 x^{9} + 864452 x^{8} - 2002980 x^{7} + 8155895 x^{6} - 14377568 x^{5} + 50660274 x^{4} - 61397739 x^{3} + 190235724 x^{2} - 120478059 x + 333123229$ | $3^{8}\cdot 13^{8}\cdot 17^{14}$ | $C_8\times C_2$ (as 16T5) | $[4, 4, 12, 192]$ |
| 16.0.905...832.1 | $x^{16} + 136 x^{14} + 7174 x^{12} + 186524 x^{10} + 2536859 x^{8} + 18002218 x^{6} + 66518569 x^{4} + 119927639 x^{2} + 82055753$ | $2^{16}\cdot 13^{6}\cdot 17^{15}$ | $C_2^4.C_8$ (as 16T306) | $[2, 2, 2, 6, 870]$ |
| 16.0.914...625.1 | $x^{16} - 5 x^{15} + 79 x^{14} - 319 x^{13} + 2147 x^{12} - 7204 x^{11} + 33080 x^{10} - 97972 x^{9} + 322152 x^{8} - 825737 x^{7} + 2256940 x^{6} - 4470224 x^{5} + 9705318 x^{4} - 15875277 x^{3} + 21559104 x^{2} - 23181663 x + 20355859$ | $5^{8}\cdot 29^{6}\cdot 89^{8}$ | $C_4^2.D_4$ (as 16T225) | $[2, 2, 2692]$ |
| 16.0.923...376.5 | $x^{16} + 36 x^{14} + 854 x^{12} - 24 x^{11} + 14660 x^{10} + 1512 x^{9} + 185223 x^{8} + 22368 x^{7} + 1694252 x^{6} + 74400 x^{5} + 10592826 x^{4} - 847320 x^{3} + 41438996 x^{2} - 6189912 x + 74638654$ | $2^{48}\cdot 3^{8}\cdot 29^{8}$ | $C_4\times C_2^2$ (as 16T2) | $[3, 3, 5304]$ |
| 16.0.975...344.6 | $x^{16} - 4 x^{15} + 72 x^{14} - 216 x^{13} + 2120 x^{12} - 4752 x^{11} + 37310 x^{10} - 81460 x^{9} + 551655 x^{8} - 1459016 x^{7} + 6416954 x^{6} - 13809888 x^{5} + 31892654 x^{4} - 32879232 x^{3} + 19435962 x^{2} - 7604084 x + 10011397$ | $2^{32}\cdot 3^{12}\cdot 13^{6}\cdot 97^{4}$ | $C_2^4:\SD_{16}$ (as 16T700) | $[2, 2, 12, 360]$ |
| 16.0.975...344.8 | $x^{16} - 4 x^{15} + 72 x^{14} - 216 x^{13} + 2120 x^{12} - 4752 x^{11} + 37310 x^{10} - 81460 x^{9} + 551655 x^{8} - 1459016 x^{7} + 6416954 x^{6} - 13809888 x^{5} + 31892654 x^{4} - 32879232 x^{3} + 19435962 x^{2} - 7604084 x + 10011397$ | $2^{32}\cdot 3^{12}\cdot 13^{6}\cdot 97^{4}$ | $C_2^4:\SD_{16}$ (as 16T700) | $[2, 2, 12, 360]$ |
| 16.0.100...625.1 | $x^{16} - 3 x^{15} + 110 x^{14} - 205 x^{13} + 4689 x^{12} - 3878 x^{11} + 101693 x^{10} + 19015 x^{9} + 1258001 x^{8} + 1498347 x^{7} + 9604628 x^{6} + 19095936 x^{5} + 49007769 x^{4} + 100830379 x^{3} + 159770709 x^{2} + 203130409 x + 194676821$ | $5^{12}\cdot 29^{6}\cdot 1621^{4}$ | $(C_2^2\times C_4^2):D_8$ (as 16T1276) | $[2, 2, 6906]$ |
| 16.0.100...000.1 | $x^{16} + 105 x^{14} + 4470 x^{12} + 99540 x^{10} + 1245555 x^{8} + 8710200 x^{6} + 31353750 x^{4} + 45082575 x^{2} + 3404025$ | $2^{16}\cdot 3^{12}\cdot 5^{14}\cdot 41^{6}$ | $C_4^2.(C_2\times C_4)$ (as 16T226) | $[2, 2, 2, 2, 1070]$ |
| 16.0.102...248.2 | $x^{16} + 72 x^{14} + 1800 x^{12} + 21488 x^{10} + 137666 x^{8} + 487832 x^{6} + 919020 x^{4} + 786080 x^{2} + 167042$ | $2^{67}\cdot 17^{8}$ | $C_2^2.C_2\wr C_4$ (as 16T681) | $[2, 2, 2706]$ |