This is a list of groups with unproven minimal discriminant for at least one signature.
Number of groups: 36 Missing minimal discriminants: 132
| Not yet proven minimal discriminants of degree 15 | ||||||||||
| G | Name | |G| | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 |
|---|---|---|---|---|---|---|---|---|---|---|
| 15T17 | 1/2[5^2:4]S(3) | 300 | - | 217924025062500... 23 digits | - | - | - | - | - | 136202515664062... 34 digits |
| 15T19 | [5^2:4]3 | 300 | - | 8620460479736328125 | - | - | - | - | - | 673137167231445... 31 digits |
| 15T27 | [5^2:4]S(3) | 600 | 196421600341796875 | 6154112798000000000 | 103907026580810546875 | - | - | - | - | 246164511920000... 26 digits |
| 15T28 | S_6(15) | 720 | - | 31123779291971584 | - | 2975546764864246329 | - | - | - | 123374497805640... 24 digits |
| 15T33 | [3^4:2]5 | 810 | - | - | 45033016903730593947 | - | - | - | - | 138622929316925... 27 digits |
| 15T35 | 1/2[3^4:2]D(5) | 810 | 151702388076465973431 | - | - | - | - | - | - | 766186635580486... 29 digits |
| 15T37 | 1/2[5^3:4]S(3) | 1500 | - | 13947137604000000000000 | - | - | - | - | - | 257592720731513... 31 digits |
| 15T38 | [5^3:4]3 | 1500 | - | 118310588512598828125 | - | - | - | - | - | 430807787028125... 27 digits |
| 15T42 | 1/2[3^4:2]F(5) | 1620 | - | 781037342732968899561 | - | - | - | - | - | 683861807900390... 30 digits |
| 15T49 | [5^3:4]S(3) | 3000 | 2626093750000000000 | 55475165600000000000 | 702379350826838... 22 digits | - | - | - | - | 346719785000000... 27 digits |
| 15T57 | [1/4.F(5)^3]3 | 6000 | - | - | - | 903469412181606... 24 digits | - | - | - | 220573586958400... 33 digits |
| 15T58 | 1/2[D(5)^3:2]S(3) | 6000 | - | 9725690310044041216 | - | 124822189039431... 24 digits | - | 851265722900390... 28 digits | - | 479469741926171... 25 digits |
| 15T59 | [D(5)^3:2]3 | 6000 | - | 784139153615644... 20 digits | - | 362870904780330... 21 digits | - | 145685782107543... 22 digits | - | 299209118060166... 30 digits |
| 15T60 | [D(5)^3]S(3)=D(5)wrS(3) | 6000 | 670556550881207 | 10416123605373952 | 27007279664331047 | 253380093937865728 | - | 21793511010123240448 | - | 876037033109320738913 |
| 15T65 | 1/2[1/2.F(5)^3]S(3) | 12000 | 395185576262579... 24 digits | - | - | 114398748855746... 32 digits | - | - | - | 310762662547542... 36 digits |
| 15T66 | [1/4.F(5)^3]S(3) | 12000 | - | - | 965054558925639... 22 digits | 112128022503912... 23 digits | - | - | - | 255557069260828... 30 digits |
| 15T67 | [1/2.F(5)^3]3 | 12000 | - | 903469412181606... 24 digits | - | 206869311984658... 27 digits | - | 220573586958400... 33 digits | - | 225867353045401... 26 digits |
| 15T68 | [D(5)^3:2]S(3) | 12000 | 161414428000000... 21 digits | 234382574660000... 24 digits | 709081977233886... 20 digits | 221900662400000... 23 digits | - | 192188535201721... 23 digits | - | 333197713385000... 26 digits |
| 15T72 | L(15)=A_8(15)=PSL(4,2) | 20160 | - | 443714161909669... 21 digits | - | 236516274161580... 24 digits | - | - | - | 633279463729648... 33 digits |
| 15T73 | 1/2[F(5)^3]S(3) | 24000 | - | 140499178156840... 30 digits | - | 224798685050944... 29 digits | - | 134590775844589... 33 digits | - | 359677896081510... 26 digits |
| 15T74 | [1/2.F(5)^3]S(3) | 24000 | 392911832307960... 21 digits | 101454152380883... 22 digits | 161343104737280... 22 digits | 299581181938889... 28 digits | - | 234038499271148... 29 digits | - | 287932475391560... 33 digits |
| 15T75 | [F(5)^3]3=F(5)wr3 | 24000 | - | 679665130414960... 21 digits | - | 312666020497616... 23 digits | - | 779332668243737... 26 digits | - | 141977890843583... 35 digits |
| 15T82 | [F(5)^3]S(3)=F(5)wrS(3) | 48000 | 830788835847757... 20 digits | 291317936726763... 25 digits | 126022722858222... 28 digits | 692727712675020... 24 digits | - | 213282122419725... 29 digits | - | 140538189189338... 31 digits |
| 15T92 | [A(5)^3]3=A(5)wr3 | 648000 | - | 252349919319202929 | - | 1646941276323745801 | - | 587722035070506... 42 digits | - | 178142275842344... 23 digits |
| 15T93 | [S(3)^5]S(5)=S(3)wrS(5) | 933120 | 405733124653187 | 2215836724935509 | 19997892039891859 | 201663034388270901 | 380246091673030127 | 8771288387774524609 | 22077637072733437439 | 209568693034069107257 |
| 15T94 | 1/2[A(5)^3:2]S(3) | 1296000 | - | 5282782892042358784 | - | 580865457092657... 20 digits | - | 473831966523245... 53 digits | - | 762858540877421... 54 digits |
| 15T95 | [A(5)^3:2]3 | 1296000 | - | 107779860863185189 | - | 3883228524698760125 | 181546548947299... 20 digits | 132136506772165... 46 digits | - | 534163649148864... 54 digits |
| 15T96 | [A(5)^3]S(3)=A(5)wrS(3) | 1296000 | 4025865561167751863 | 3713859004905029632 | 1454383595408929007 | 247751231080317... 20 digits | - | 469656378849340... 28 digits | - | 483807747971682... 26 digits |
| 15T97 | [A(5)^3:2]S(3) | 2592000 | 205962976000000... 22 digits | 480537996567076800 | 166856721405397... 20 digits | 668987701906811... 20 digits | 306142271505832... 20 digits | 634938494714215... 25 digits | - | 248398977558713... 48 digits |
| 15T98 | [1/2.S(5)^3]3 | 2592000 | - | 80801923229617681 | - | 178799850111319969 | - | 602698457701977... 21 digits | - | 981509775960771... 23 digits |
| 15T99 | 1/2[S(5)^3]S(3) | 5184000 | - | 1581785703182128129 | - | 102170171470813... 20 digits | - | 865969921490120... 23 digits | - | 125010533193732... 25 digits |
| 15T100 | [1/2.S(5)^3]S(3) | 5184000 | 154679035105415447 | 873831601003773952 | 200513382366914087 | 6095360892180812800 | - | 173715115340862... 22 digits | - | 562187237772555... 25 digits |
| 15T101 | [S(5)^3]3=S(5)wr3 | 5184000 | - | 7237454563441697 | 23184899254055119 | 98150379056062837 | 1021083707498129443 | 6729245754833183113 | 504044572834673... 20 digits | 205098706621069... 22 digits |
| 15T102 | [S(5)^3]S(3)=S(5)wrS(3) | 10368000 | 462697556960267 | 3979171169409313 | 19369191564087103 | 118657710224087... 20 digits | 103955176521036... 22 digits | 838887404002209... 20 digits | 359303884002985... 23 digits | 776333434608080... 22 digits |
| 15T103 | A(15) | 653837184000 | - | 7640669135883265024 | - | 239350355667544... 36 digits | - | 353770618814061... 72 digits | - | 858548560766890... 99 digits |
| 15T104 | S(15) | 1307674368000 | 323960158959551 | 1562866651208713 | 8340213755528143 | 43834196613988393 | 238625173862870831 | 1538121929858983129 | 225704507193904... 20 digits | 545746788015105... 31 digits |
6 | 1,03 ms