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The database currently contains 662,882 Galois conjugacy classes of Artin representations, for a total of 524,190 number fields with 177 Galois groups. The largest dimension is $70$ and the largest conductor is $2^{194} \cdot 29^{60} \cdot 37^{60} \cdot 49121^{60} \approx 5.2 \times 10^{521}$.

Distribution of dimensions and conductors

conductor
$1$-$100$ $101$-$10000$ $10^{4}$-$10^{6}$ $10^{6}$-$10^{8}$ $10^{8}$-$10^{12}$ $10^{12}$-$10^{16}$ $10^{16}$-$10^{20}$ $10^{20}$-$10^{24}$ $10^{24}$-$10^{32}$ $10^{32}$-$10^{40}$ $10^{40}$-$10^{48}$ $10^{48}$-$10^{56}$ $10^{56}$-$10^{72}$ $10^{72}$-$10^{88}$ $10^{88}$- Total
dimension
1 244 10965 181986 980 83 194258
0.13% 5.64% 93.68% 0.50% 0.04% 29.31%
2 29 15884 252147 4143 351 43 10 272607
0.01% 5.83% 92.49% 1.52% 0.13% 0.02% 0.00% 41.12%
3 1793 11029 9217 3284 51 25 1 25400
7.06% 43.42% 36.29% 12.93% 0.20% 0.10% 0.00% 3.83%
4 128 5932 24198 32143 2638 777 7 1 65824
0.19% 9.01% 36.76% 48.83% 4.01% 1.18% 0.01% 0.00% 9.93%
5 1327 1513 7913 5457 1911 997 149 19267
6.89% 7.85% 41.07% 28.32% 9.92% 5.17% 0.77% 2.91%
6 152 798 17766 16288 1622 39 302 260 70 37297
0.41% 2.14% 47.63% 43.67% 4.35% 0.10% 0.81% 0.70% 0.19% 5.63%
7 45 550 218 39 32 26 8 8 926
4.86% 59.40% 23.54% 4.21% 3.46% 2.81% 0.86% 0.86% 0.14%
8 251 4635 932 98 35 36 3 5990
4.19% 77.38% 15.56% 1.64% 0.58% 0.60% 0.05% 0.90%
9 53 4197 8622 786 807 621 103 15189
0.35% 27.63% 56.76% 5.17% 5.31% 4.09% 0.68% 2.29%
10 26 489 1099 1001 654 131 16 38 1 3455
0.75% 14.15% 31.81% 28.97% 18.93% 3.79% 0.46% 1.10% 0.03% 0.52%
11 1 14 41 2 14 39 1 112
0.89% 12.50% 36.61% 1.79% 12.50% 34.82% 0.89% 0.02%
12 3 923 5494 3633 10 6 14 39 1 10123
0.03% 9.12% 54.27% 35.89% 0.10% 0.06% 0.14% 0.39% 0.01% 1.53%
14-21 195 1813 3704 1234 664 2304 929 146 10989
1.77% 16.50% 33.71% 11.23% 6.04% 20.97% 8.45% 1.33% 1.66%
24-30 1 27 28
3.57% 96.43% 0.00%
35 25 143 1153 1321
1.89% 10.83% 87.28% 0.20%
40-70 96 96
100.00% 0.01%
Total 273 28770 452573 40849 61889 33888 15530 8769 7814 5311 1558 716 2445 1075 1422 662882
0.04% 4.34% 68.27% 6.16% 9.34% 5.11% 2.34% 1.32% 1.18% 0.80% 0.24% 0.11% 0.37% 0.16% 0.21%

Distribution of dimensions and number of ramified primes

number of ramified primes
0 1 2 3 4 5 6 Total
dimension
1 1 27977 72268 65083 24918 3873 138 194258
0.00% 14.40% 37.20% 33.50% 12.83% 1.99% 0.07% 29.31%
2 23213 83976 106742 50668 7731 277 272607
8.52% 30.80% 39.16% 18.59% 2.84% 0.10% 41.12%
3 910 7861 13040 3455 127 7 25400
3.58% 30.95% 51.34% 13.60% 0.50% 0.03% 3.83%
4 1204 9422 35131 18802 1265 65824
1.83% 14.31% 53.37% 28.56% 1.92% 9.93%
5 2462 7157 8744 891 12 1 19267
12.78% 37.15% 45.38% 4.62% 0.06% 0.01% 2.91%
6 937 7430 21594 7054 279 3 37297
2.51% 19.92% 57.90% 18.91% 0.75% 0.01% 5.63%
7 81 393 371 72 6 3 926
8.75% 42.44% 40.06% 7.78% 0.65% 0.32% 0.14%
8 114 1886 3357 621 9 3 5990
1.90% 31.49% 56.04% 10.37% 0.15% 0.05% 0.90%
9 704 3719 8628 2116 22 15189
4.63% 24.48% 56.80% 13.93% 0.14% 2.29%
10 720 1736 851 144 2 2 3455
20.84% 50.25% 24.63% 4.17% 0.06% 0.06% 0.52%
11 8 40 52 11 1 112
7.14% 35.71% 46.43% 9.82% 0.89% 0.02%
12 34 2044 6461 1574 9 1 10123
0.34% 20.19% 63.82% 15.55% 0.09% 0.01% 1.53%
14-21 1885 4498 3821 777 8 10989
17.15% 40.93% 34.77% 7.07% 0.07% 1.66%
24-30 8 10 9 1 28
28.57% 35.71% 32.14% 3.57% 0.00%
35 340 678 271 31 1 1321
25.74% 51.32% 20.51% 2.35% 0.08% 0.20%
40-70 28 43 21 4 96
29.17% 44.79% 21.88% 4.17% 0.01%
Total 1 60589 203144 274199 111164 13349 436 662882
0.00% 9.14% 30.65% 41.36% 16.77% 2.01% 0.07%

Distribution of Frobenius-Schur indicators and dimensions

dimension
1 2 3 4 5 6 7 8 9 10 11 12 14-21 24-30 35 40-70
indicator
-1 761 12 12
0 5821 6003 2336 1508 65 349 216 192 63 6 24 23
1 188437 265843 23064 64304 19202 36936 710 5798 15126 3449 112 10123 10965 28 1321 73

Distribution of parities and dimensions

dimension
1 2 3 4 5 6 7 8 9 10 11 12 14-21 24-30 35 40-70
parity
odd 139182 209918 9900 16708 3244 20110 69 932 5169 108 27 5392 3446 331
even 55076 62689 15500 49116 16023 17187 857 5058 10020 3347 85 4731 7543 28 990 96

Distribution of Galois groups

Galois group $C_1$ (as 1T1) $C_2$ (as 2T1) $C_3$ (as 3T1) $S_3$ (as 3T2) $C_4$ (as 4T1) $D_4$ (as 4T3) $A_4$ (as 4T4) $S_4$ (as 4T5) $C_5$ (as 5T1) $D_5$ (as 5T2)
count 1 188436 1774 223560 2215 14496 910 11886 49 5061
proportion 0.00% 28.43% 0.27% 33.73% 0.33% 2.19% 0.14% 1.79% 0.01% 0.76%
Galois group $F_5$ (as 5T3) $A_5$ (as 5T4) $S_5$ (as 5T5) $C_6$ (as 6T1) $D_6$ (as 6T3) $C_3\times S_3$ (as 6T5) $C_2\times A_4$ (as 6T6) $S_3^2$ (as 6T9) $C_3:S_3.C_2$ (as 6T10) $C_2\times S_4$ (as 6T11)
count 2174 3288 28870 1590 16476 1307 435 4061 92 8596
proportion 0.33% 0.50% 4.36% 0.24% 2.49% 0.20% 0.07% 0.61% 0.01% 1.30%
Galois group $S_3\wr C_2$ (as 6T13) $A_6$ (as 6T15) $S_6$ (as 6T16) $C_7$ (as 7T1) $D_7$ (as 7T2) $C_7:C_3$ (as 7T3) $F_7$ (as 7T4) $\PSL(2,7)$ (as 7T5) $A_7$ (as 7T6) $S_7$ (as 7T7)
count 34680 115 14229 21 2014 46 342 1200 28 8411
proportion 5.23% 0.02% 2.15% 0.00% 0.30% 0.01% 0.05% 0.18% 0.00% 1.27%
Galois group $C_8$ (as 8T1) $Q_8$ (as 8T5) $D_8$ (as 8T6) $OD_{16}$ (as 8T7) $SD_{16}$ (as 8T8) $D_4:C_2$ (as 8T11) $\SL(2,3)$ (as 8T12) $C_8:C_2^2$ (as 8T15) $C_2^3.C_4$ (as 8T16) $C_4\wr C_2$ (as 8T17)
count 47 462 2391 97 350 961 556 3465 129 1240
proportion 0.01% 0.07% 0.36% 0.01% 0.05% 0.14% 0.08% 0.52% 0.02% 0.19%
Galois group $C_2^2.D_4$ (as 8T19) $Q_8:C_2^2$ (as 8T22) $\GL(2,3)$ (as 8T23) $F_8$ (as 8T25) $D_4:D_4$ (as 8T26) $C_2\wr C_4$ (as 8T27) $C_2\wr C_2^2$ (as 8T29) $C_4^2:C_4$ (as 8T30) $C_2^3:A_4$ (as 8T32) $C_2^2\wr C_2:C_3$ (as 8T33)
count 1286 1162 1206 27 114 8 70 12 2150 12
proportion 0.19% 0.18% 0.18% 0.00% 0.02% 0.00% 0.01% 0.00% 0.32% 0.00%
Galois group $C_2^2:S_4$ (as 8T34) $D_4^2.C_2$ (as 8T35) $F_8:C_3$ (as 8T36) $C_2\wr A_4$ (as 8T38) $C_2^3:S_4$ (as 8T39) $C_2^3:A_4:C_2$ (as 8T40) $C_2^2:S_4:C_2$ (as 8T41) $A_4\wr C_2$ (as 8T42) $SO(3,7)$ (as 8T43) $C_2^3:S_4.C_2$ (as 8T44)
count 341 116 430 8 1518 1740 432 288 420 414
proportion 0.05% 0.02% 0.06% 0.00% 0.23% 0.26% 0.07% 0.04% 0.06% 0.06%
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Galois group $C_1$ (as 1T1) $C_2$ (as 2T1) $C_3$ (as 3T1) $S_3$ (as 3T2) $C_4$ (as 4T1) $D_4$ (as 4T3) $A_4$ (as 4T4) $S_4$ (as 4T5) $C_5$ (as 5T1) $D_5$ (as 5T2)
count 1 188436 1774 223560 2215 14496 910 11886 49 5061
proportion 0.00% 28.43% 0.27% 33.73% 0.33% 2.19% 0.14% 1.79% 0.01% 0.76%
Galois group $F_5$ (as 5T3) $A_5$ (as 5T4) $S_5$ (as 5T5) $C_6$ (as 6T1) $D_6$ (as 6T3) $C_3\times S_3$ (as 6T5) $C_2\times A_4$ (as 6T6) $S_3^2$ (as 6T9) $C_3:S_3.C_2$ (as 6T10) $C_2\times S_4$ (as 6T11)
count 2174 3288 28870 1590 16476 1307 435 4061 92 8596
proportion 0.33% 0.50% 4.36% 0.24% 2.49% 0.20% 0.07% 0.61% 0.01% 1.30%
Galois group $S_3\wr C_2$ (as 6T13) $A_6$ (as 6T15) $S_6$ (as 6T16) $C_7$ (as 7T1) $D_7$ (as 7T2) $C_7:C_3$ (as 7T3) $F_7$ (as 7T4) $\PSL(2,7)$ (as 7T5) $A_7$ (as 7T6) $S_7$ (as 7T7)
count 34680 115 14229 21 2014 46 342 1200 28 8411
proportion 5.23% 0.02% 2.15% 0.00% 0.30% 0.01% 0.05% 0.18% 0.00% 1.27%
Galois group $C_8$ (as 8T1) $Q_8$ (as 8T5) $D_8$ (as 8T6) $OD_{16}$ (as 8T7) $SD_{16}$ (as 8T8) $D_4:C_2$ (as 8T11) $\SL(2,3)$ (as 8T12) $C_8:C_2^2$ (as 8T15) $C_2^3.C_4$ (as 8T16) $C_4\wr C_2$ (as 8T17)
count 47 462 2391 97 350 961 556 3465 129 1240
proportion 0.01% 0.07% 0.36% 0.01% 0.05% 0.14% 0.08% 0.52% 0.02% 0.19%
Galois group $C_2^2.D_4$ (as 8T19) $Q_8:C_2^2$ (as 8T22) $\GL(2,3)$ (as 8T23) $F_8$ (as 8T25) $D_4:D_4$ (as 8T26) $C_2\wr C_4$ (as 8T27) $C_2\wr C_2^2$ (as 8T29) $C_4^2:C_4$ (as 8T30) $C_2^3:A_4$ (as 8T32) $C_2^2\wr C_2:C_3$ (as 8T33)
count 1286 1162 1206 27 114 8 70 12 2150 12
proportion 0.19% 0.18% 0.18% 0.00% 0.02% 0.00% 0.01% 0.00% 0.32% 0.00%
Galois group $C_2^2:S_4$ (as 8T34) $D_4^2.C_2$ (as 8T35) $F_8:C_3$ (as 8T36) $C_2\wr A_4$ (as 8T38) $C_2^3:S_4$ (as 8T39) $C_2^3:A_4:C_2$ (as 8T40) $C_2^2:S_4:C_2$ (as 8T41) $A_4\wr C_2$ (as 8T42) $SO(3,7)$ (as 8T43) $C_2^3:S_4.C_2$ (as 8T44)
count 341 116 430 8 1518 1740 432 288 420 414
proportion 0.05% 0.02% 0.06% 0.00% 0.23% 0.26% 0.07% 0.04% 0.06% 0.06%
Galois group $(A_4\wr C_2):C_2$ (as 8T45) $A_4^2:C_4$ (as 8T46) $S_4\wr C_2$ (as 8T47) $C_2^3:\GL(3,2)$ (as 8T48) $A_8$ (as 8T49) $C_9$ (as 9T1) $D_9$ (as 9T3) $C_9:C_3$ (as 9T6) $He_3$ (as 9T7) $D_9:C_3$ (as 9T10)
count 931 378 30602 5 253 26 672 15 13 754
proportion 0.14% 0.06% 4.62% 0.00% 0.04% 0.00% 0.10% 0.00% 0.00% 0.11%
Galois group $He_3:C_2$ (as 9T11) $C_3^2:S_3$ (as 9T12) $PSU(3,2)$ (as 9T14) $F_9$ (as 9T15) $C_3\wr C_3$ (as 9T17) $C_3.S_3^2$ (as 9T18) $PSU(3,2):C_2$ (as 9T19) $C_3\wr S_3$ (as 9T20) $C_3\wr C_3:C_2$ (as 9T21) $C_3^3:C_6$ (as 9T22)
count 809 1808 27 17 3 10540 574 126 3 3
proportion 0.12% 0.27% 0.00% 0.00% 0.00% 1.59% 0.09% 0.02% 0.00% 0.00%
Galois group $ASL(2,3)$ (as 9T23) $C_3\wr S_3:C_2$ (as 9T24) $C_3^3:C_2^2:C_3$ (as 9T25) $AGL(2,3)$ (as 9T26) $\PSL(2,8)$ (as 9T27) $S_3 \wr C_3 $ (as 9T28) $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) $S_3\wr S_3$ (as 9T31) $\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32)
count 48 6 72 420 4 504 824 5592 6024 6
proportion 0.01% 0.00% 0.01% 0.06% 0.00% 0.08% 0.12% 0.84% 0.91% 0.00%
Galois group $C_{10}$ (as 10T1) $D_{10}$ (as 10T3) $C_2\times F_5$ (as 10T5) $C_5\times D_5$ (as 10T6) $C_2^4:C_5$ (as 10T8) $D_5^2$ (as 10T9) $C_5:F_5$ (as 10T10) $C_2\times A_5$ (as 10T11) $C_2\times C_2^4:C_5$ (as 10T14) $C_2^4:D_5$ (as 10T15)
count 32 150 4 26 3 2 2 423 3 12
proportion 0.00% 0.02% 0.00% 0.00% 0.00% 0.00% 0.00% 0.06% 0.00% 0.00%
Galois group $D_5:F_5$ (as 10T17) $C_5:D_5.C_4$ (as 10T18) $D_5\wr C_2$ (as 10T19) $C_5^2:Q_8$ (as 10T20) $C_2\times S_5$ (as 10T22) $C_2\times C_2^4:D_5$ (as 10T23) $C_2^4:C_5:C_4$ (as 10T24) $D_5\wr C_2:C_2$ (as 10T27) $D_5^2.C_4$ (as 10T28) $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29)
count 2 3 10 3 10 6 15 6 3 5
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Galois group $\PGL(2,9)$ (as 10T30) $M_{10}$ (as 10T31) $F_5 \wr C_2$ (as 10T33) $C_2^4 : A_5$ (as 10T34) $(A_6 : C_2) : C_2$ (as 10T35) $C_2 \wr A_5$ (as 10T36) $(C_2^4:A_5) : C_2$ (as 10T37) $C_2 \wr S_5$ (as 10T39) $A_5 \wr C_2$ (as 10T40) $C_{11}$ (as 11T1)
count 6 5 5 12 9 6 33 11 13 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Galois group $D_{11}$ (as 11T2) $C_{11}:C_5$ (as 11T3) $F_{11}$ (as 11T4) $\PSL(2,11)$ (as 11T5) $M_{11}$ (as 11T6) $C_{12}$ (as 12T1) $C_3:C_4$ (as 12T5) $C_4\times S_3$ (as 12T11) $D_{12}$ (as 12T12) $C_6\times S_3$ (as 12T18)
count 1 1 1 285 7 21 9 43 94 282
proportion 0.00% 0.00% 0.00% 0.04% 0.00% 0.00% 0.00% 0.01% 0.01% 0.04%
Galois group $C_3\times C_3:C_4$ (as 12T19) $A_4:C_4$ (as 12T27) $C_4\times A_4$ (as 12T29) $C_3\times S_4$ (as 12T45) $C_4\times S_4$ (as 12T53) $\PGL(2,11)$ (as 12T218) $D_{13}$ (as 13T2) $C_{14}$ (as 14T1) $D_{14}$ (as 14T3) $C_7\times D_7$ (as 14T8)
count 1 10 6 6 2 216 42 33 219 93
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.03% 0.01% 0.00% 0.03% 0.01%
Galois group $C_{15}$ (as 15T1) $D_{15}$ (as 15T2) $C_3\times D_5$ (as 15T3) $C_5\times S_3$ (as 15T4) $C_{16}$ (as 16T1) $\SL(2,3):C_2$ (as 16T60) $F_{17}$ (as 17T5) $\PSL(2,16)$ (as 17T6) $C_{18}$ (as 18T1) $C_9\times S_3$ (as 18T16)
count 2 121 1 12 1 468 1 15 4 6
proportion 0.00% 0.02% 0.00% 0.00% 0.00% 0.07% 0.00% 0.00% 0.00% 0.00%
Galois group $C_{20}$ (as 20T1) $C_4\times D_5$ (as 20T6) $C_{10}\times D_5$ (as 20T24) $C_7\times S_3$ (as 21T6) $C_{22}$ (as 22T1) $C_8\times S_3$ (as 24T32) $D_{24}$ (as 24T34) $C_{12}\times S_3$ (as 24T65) $C_4.S_4$ (as 24T138) $\SL(2,5)$ (as 24T201)
count 2 2 2 2 1 1 99 9 30 36
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.01% 0.00% 0.00% 0.01%
Galois group $C_3\times \GL(2,3)$ (as 24T253) $C_4.A_5$ (as 24T576) $D_{25}$ (as 25T4) $D_{26}$ (as 26T3) $D_{27}$ (as 27T8) $D_{28}$ (as 28T10) $D_{29}$ (as 29T2) $C_{30}$ (as 30T1) $C_6\times D_5$ (as 30T5) $C_{10}\times S_3$ (as 30T12)
count 4 522 50 64 74 70 32 2 1 3
proportion 0.00% 0.08% 0.01% 0.01% 0.01% 0.01% 0.00% 0.00% 0.00% 0.00%
Galois group $D_{30}$ (as 30T14) $C_{15}\times S_3$ (as 30T15) $C_8.A_4$ (as 32T402) $\GL(2,3):C_4$ (as 32T2166) $C_{11}\times S_3$ (as 33T2) $C_3\times A_4:C_4$ (as 36T104) $C_{20}\times D_5$ (as 40T149)
count 157 2 12 3 1 1 2
proportion 0.02% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
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Distribution of projective images

projective image $C_1$1T1 $S_3$3T2 $C_2^2$4T2 $D_4$4T3 $A_4$4T4 $S_4$4T5 $D_5$5T2 $F_5$5T3 $A_5$5T4 $S_5$5T5
count 194258 241714 16016 3981 2387 21744 5245 2178 4269 28880
proportion 29.31% 36.46% 2.42% 0.60% 0.36% 3.28% 0.79% 0.33% 0.64% 4.36%
projective image $D_6$6T3 $S_3^2$6T9 $C_3:S_3.C_2$6T10 $S_3\wr C_2$6T13 $A_6$6T15 $S_6$ $D_7$7T2 $C_7:C_3$7T3 $F_7$7T4 $\PSL(2,7)$7T5
count 94 4061 92 34680 115 14229 2326 46 342 1200
proportion 0.01% 0.61% 0.01% 5.23% 0.02% 2.15% 0.35% 0.01% 0.05% 0.18%
projective image $A_7$ $S_7$ $C_2\times D_4$8T9 $C_2^2:C_4$8T10 $C_2^2\wr C_2$8T18 $C_2^2.D_4$8T19 $F_8$8T25 $C_2\wr C_2^2$8T29 $C_2^2\wr C_2:C_3$8T33 $C_2^2:S_4$8T34
count 28 8411 3465 1415 184 20 27 116 20 3599
proportion 0.00% 1.27% 0.52% 0.21% 0.03% 0.00% 0.00% 0.02% 0.00% 0.54%
projective image $F_8:C_3$8T36 $C_2^2:S_4:C_2$8T41 $A_4\wr C_2$8T42 $SO(3,7)$8T43 $(A_4\wr C_2):C_2$ $A_4^2:C_4$ $S_4\wr C_2$ $C_2^3:\GL(3,2)$ $A_8$ $C_3^2$9T2
count 430 846 288 420 931 378 30602 5 253 28
proportion 0.06% 0.13% 0.04% 0.06% 0.14% 0.06% 4.62% 0.00% 0.04% 0.00%
projective image $D_9$9T3 $C_3:S_3$9T5 $He_3$9T7 $D_9:C_3$9T10 $He_3:C_2$9T11 $PSU(3,2)$9T14 $F_9$9T15 $C_3.S_3^2$9T18 $PSU(3,2):C_2$9T19 $C_3\wr C_3:C_2$9T21
count 672 1808 3 754 935 27 17 10540 574 3
proportion 0.10% 0.27% 0.00% 0.11% 0.14% 0.00% 0.00% 1.59% 0.09% 0.00%
projective image $C_3^3:C_6$9T22 $ASL(2,3)$9T23 $C_3\wr S_3:C_2$9T24 $C_3^3:C_2^2:C_3$9T25 $AGL(2,3)$9T26 $\PSL(2,8)$9T27 $S_3 \wr C_3 $ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $S_3\wr S_3$
count 3 48 6 72 420 4 504 824 5592 6024
proportion 0.00% 0.01% 0.00% 0.01% 0.06% 0.00% 0.08% 0.12% 0.84% 0.91%
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projective image $C_1$1T1 $S_3$3T2 $C_2^2$4T2 $D_4$4T3 $A_4$4T4 $S_4$4T5 $D_5$5T2 $F_5$5T3 $A_5$5T4 $S_5$5T5
count 194258 241714 16016 3981 2387 21744 5245 2178 4269 28880
proportion 29.31% 36.46% 2.42% 0.60% 0.36% 3.28% 0.79% 0.33% 0.64% 4.36%
projective image $D_6$6T3 $S_3^2$6T9 $C_3:S_3.C_2$6T10 $S_3\wr C_2$6T13 $A_6$6T15 $S_6$ $D_7$7T2 $C_7:C_3$7T3 $F_7$7T4 $\PSL(2,7)$7T5
count 94 4061 92 34680 115 14229 2326 46 342 1200
proportion 0.01% 0.61% 0.01% 5.23% 0.02% 2.15% 0.35% 0.01% 0.05% 0.18%
projective image $A_7$ $S_7$ $C_2\times D_4$8T9 $C_2^2:C_4$8T10 $C_2^2\wr C_2$8T18 $C_2^2.D_4$8T19 $F_8$8T25 $C_2\wr C_2^2$8T29 $C_2^2\wr C_2:C_3$8T33 $C_2^2:S_4$8T34
count 28 8411 3465 1415 184 20 27 116 20 3599
proportion 0.00% 1.27% 0.52% 0.21% 0.03% 0.00% 0.00% 0.02% 0.00% 0.54%
projective image $F_8:C_3$8T36 $C_2^2:S_4:C_2$8T41 $A_4\wr C_2$8T42 $SO(3,7)$8T43 $(A_4\wr C_2):C_2$ $A_4^2:C_4$ $S_4\wr C_2$ $C_2^3:\GL(3,2)$ $A_8$ $C_3^2$9T2
count 430 846 288 420 931 378 30602 5 253 28
proportion 0.06% 0.13% 0.04% 0.06% 0.14% 0.06% 4.62% 0.00% 0.04% 0.00%
projective image $D_9$9T3 $C_3:S_3$9T5 $He_3$9T7 $D_9:C_3$9T10 $He_3:C_2$9T11 $PSU(3,2)$9T14 $F_9$9T15 $C_3.S_3^2$9T18 $PSU(3,2):C_2$9T19 $C_3\wr C_3:C_2$9T21
count 672 1808 3 754 935 27 17 10540 574 3
proportion 0.10% 0.27% 0.00% 0.11% 0.14% 0.00% 0.00% 1.59% 0.09% 0.00%
projective image $C_3^3:C_6$9T22 $ASL(2,3)$9T23 $C_3\wr S_3:C_2$9T24 $C_3^3:C_2^2:C_3$9T25 $AGL(2,3)$9T26 $\PSL(2,8)$9T27 $S_3 \wr C_3 $ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $S_3\wr S_3$
count 3 48 6 72 420 4 504 824 5592 6024
proportion 0.00% 0.01% 0.00% 0.01% 0.06% 0.00% 0.08% 0.12% 0.84% 0.91%
projective image $\mathrm{P}\Gamma\mathrm{L}(2,8)$ $C_2^4:C_5$10T8 $D_5^2$10T9 $C_5:F_5$10T10 $C_2^4:D_5$10T15 $D_5:F_5$10T17 $C_5:D_5.C_4$10T18 $D_5\wr C_2$10T19 $C_5^2:Q_8$10T20 $C_2^4:C_5:C_4$10T24
count 6 6 2 2 18 2 3 10 3 20
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
projective image $D_5\wr C_2:C_2$10T27 $D_5^2.C_4$10T28 $\PGL(2,9)$ $M_{10}$ $F_5 \wr C_2$ $C_2^4 : A_5$ $(A_6 : C_2) : C_2$ $(C_2^4:A_5) : C_2$ $A_5 \wr C_2$ $D_{11}$11T2
count 6 3 6 5 5 18 9 44 13 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.01% 0.00% 0.00%
projective image $C_{11}:C_5$11T3 $F_{11}$11T4 $\PSL(2,11)$ $M_{11}$ $D_{12}$12T12 $C_2^4:C_3$12T32 $\PGL(2,11)$ $D_{13}$13T2 $D_{14}$14T3 $D_{15}$15T2
count 1 1 285 7 99 2150 216 106 70 278
proportion 0.00% 0.00% 0.04% 0.00% 0.01% 0.32% 0.03% 0.02% 0.01% 0.04%
projective image $C_2^4$16T3 $F_{17}$17T5 $\PSL(2,16)$ $D_{25}$25T4 $D_{27}$27T8 $D_{29}$29T2
count 1162 1 15 50 74 32
proportion 0.18% 0.00% 0.00% 0.01% 0.01% 0.00%
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Distribution of smallest permutation containers

container $C_1$ (as 1T1) $C_2$ (as 2T1) $C_3$ (as 3T1) $S_3$ (as 3T2) $C_4$ (as 4T1) $D_4$ (as 4T3) $A_4$ (as 4T4) $S_4$ (as 4T5) $C_5$ (as 5T1) $D_5$ (as 5T2)
count 1 188436 1774 223560 2215 14496 910 5943 49 5061
proportion 0.00% 28.43% 0.27% 33.73% 0.33% 2.19% 0.14% 0.90% 0.01% 0.76%
container $F_5$ (as 5T3) $A_5$ (as 5T4) $S_5$ (as 5T5) $C_6$ (as 6T1) $D_6$ (as 6T3) $C_3\times S_3$ (as 6T5) $C_2\times A_4$ (as 6T6) $S_4$ (as 6T8) $S_3^2$ (as 6T9) $C_3:S_3.C_2$ (as 6T10)
count 2174 1096 5774 1590 16476 1307 435 5943 4061 92
proportion 0.33% 0.17% 0.87% 0.24% 2.49% 0.20% 0.07% 0.90% 0.61% 0.01%
container $C_2\times S_4$ (as 6T11) $A_5$ (as 6T12) $S_3\wr C_2$ (as 6T13) $S_5$ (as 6T14) $A_6$ (as 6T15) $S_6$ (as 6T16) $C_7$ (as 7T1) $D_7$ (as 7T2) $C_7:C_3$ (as 7T3) $F_7$ (as 7T4)
count 8596 1096 17340 5774 46 3162 21 2014 46 342
proportion 1.30% 0.17% 2.62% 0.87% 0.01% 0.48% 0.00% 0.30% 0.01% 0.05%
container $\PSL(2,7)$ (as 7T5) $A_7$ (as 7T6) $S_7$ (as 7T7) $C_8$ (as 8T1) $Q_8$ (as 8T5) $D_8$ (as 8T6) $OD_{16}$ (as 8T7) $SD_{16}$ (as 8T8) $D_4:C_2$ (as 8T11) $\SL(2,3)$ (as 8T12)
count 300 4 647 47 462 2391 97 350 961 278
proportion 0.05% 0.00% 0.10% 0.01% 0.07% 0.36% 0.01% 0.05% 0.14% 0.04%
container $C_8:C_2^2$ (as 8T15) $C_2^3.C_4$ (as 8T16) $C_4\wr C_2$ (as 8T17) $C_2^2.D_4$ (as 8T19) $Q_8:C_2^2$ (as 8T22) $\GL(2,3)$ (as 8T23) $F_8$ (as 8T25) $D_4:D_4$ (as 8T26) $C_2\wr C_4$ (as 8T27) $C_2\wr C_2^2$ (as 8T29)
count 3465 129 1240 1286 1162 603 27 114 8 70
proportion 0.52% 0.02% 0.19% 0.19% 0.18% 0.09% 0.00% 0.02% 0.00% 0.01%
container $C_4^2:C_4$ (as 8T30) $C_2^3:A_4$ (as 8T32) $C_2^2\wr C_2:C_3$ (as 8T33) $C_2^2:S_4$ (as 8T34) $D_4^2.C_2$ (as 8T35) $F_8:C_3$ (as 8T36) $\PSL(2,7)$ (as 8T37) $C_2\wr A_4$ (as 8T38) $C_2^3:S_4$ (as 8T39) $C_2^3:A_4:C_2$ (as 8T40)
count 12 1075 12 341 116 215 300 4 1012 1160
proportion 0.00% 0.16% 0.00% 0.05% 0.02% 0.03% 0.05% 0.00% 0.15% 0.17%
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container $C_1$ (as 1T1) $C_2$ (as 2T1) $C_3$ (as 3T1) $S_3$ (as 3T2) $C_4$ (as 4T1) $D_4$ (as 4T3) $A_4$ (as 4T4) $S_4$ (as 4T5) $C_5$ (as 5T1) $D_5$ (as 5T2)
count 1 188436 1774 223560 2215 14496 910 5943 49 5061
proportion 0.00% 28.43% 0.27% 33.73% 0.33% 2.19% 0.14% 0.90% 0.01% 0.76%
container $F_5$ (as 5T3) $A_5$ (as 5T4) $S_5$ (as 5T5) $C_6$ (as 6T1) $D_6$ (as 6T3) $C_3\times S_3$ (as 6T5) $C_2\times A_4$ (as 6T6) $S_4$ (as 6T8) $S_3^2$ (as 6T9) $C_3:S_3.C_2$ (as 6T10)
count 2174 1096 5774 1590 16476 1307 435 5943 4061 92
proportion 0.33% 0.17% 0.87% 0.24% 2.49% 0.20% 0.07% 0.90% 0.61% 0.01%
container $C_2\times S_4$ (as 6T11) $A_5$ (as 6T12) $S_3\wr C_2$ (as 6T13) $S_5$ (as 6T14) $A_6$ (as 6T15) $S_6$ (as 6T16) $C_7$ (as 7T1) $D_7$ (as 7T2) $C_7:C_3$ (as 7T3) $F_7$ (as 7T4)
count 8596 1096 17340 5774 46 3162 21 2014 46 342
proportion 1.30% 0.17% 2.62% 0.87% 0.01% 0.48% 0.00% 0.30% 0.01% 0.05%
container $\PSL(2,7)$ (as 7T5) $A_7$ (as 7T6) $S_7$ (as 7T7) $C_8$ (as 8T1) $Q_8$ (as 8T5) $D_8$ (as 8T6) $OD_{16}$ (as 8T7) $SD_{16}$ (as 8T8) $D_4:C_2$ (as 8T11) $\SL(2,3)$ (as 8T12)
count 300 4 647 47 462 2391 97 350 961 278
proportion 0.05% 0.00% 0.10% 0.01% 0.07% 0.36% 0.01% 0.05% 0.14% 0.04%
container $C_8:C_2^2$ (as 8T15) $C_2^3.C_4$ (as 8T16) $C_4\wr C_2$ (as 8T17) $C_2^2.D_4$ (as 8T19) $Q_8:C_2^2$ (as 8T22) $\GL(2,3)$ (as 8T23) $F_8$ (as 8T25) $D_4:D_4$ (as 8T26) $C_2\wr C_4$ (as 8T27) $C_2\wr C_2^2$ (as 8T29)
count 3465 129 1240 1286 1162 603 27 114 8 70
proportion 0.52% 0.02% 0.19% 0.19% 0.18% 0.09% 0.00% 0.02% 0.00% 0.01%
container $C_4^2:C_4$ (as 8T30) $C_2^3:A_4$ (as 8T32) $C_2^2\wr C_2:C_3$ (as 8T33) $C_2^2:S_4$ (as 8T34) $D_4^2.C_2$ (as 8T35) $F_8:C_3$ (as 8T36) $\PSL(2,7)$ (as 8T37) $C_2\wr A_4$ (as 8T38) $C_2^3:S_4$ (as 8T39) $C_2^3:A_4:C_2$ (as 8T40)
count 12 1075 12 341 116 215 300 4 1012 1160
proportion 0.00% 0.16% 0.00% 0.05% 0.02% 0.03% 0.05% 0.00% 0.15% 0.17%
container $C_2^2:S_4:C_2$ (as 8T41) $A_4\wr C_2$ (as 8T42) $SO(3,7)$ (as 8T43) $C_2^3:S_4.C_2$ (as 8T44) $(A_4\wr C_2):C_2$ (as 8T45) $A_4^2:C_4$ (as 8T46) $S_4\wr C_2$ (as 8T47) $C_2^3:\GL(3,2)$ (as 8T48) $A_8$ (as 8T49) $C_9$ (as 9T1)
count 216 72 70 276 133 63 2782 2 23 26
proportion 0.03% 0.01% 0.01% 0.04% 0.02% 0.01% 0.42% 0.00% 0.00% 0.00%
container $D_9$ (as 9T3) $C_9:C_3$ (as 9T6) $He_3$ (as 9T7) $D_9:C_3$ (as 9T10) $He_3:C_2$ (as 9T11) $C_3^2:S_3$ (as 9T12) $PSU(3,2)$ (as 9T14) $F_9$ (as 9T15) $C_3\wr C_3$ (as 9T17) $C_3.S_3^2$ (as 9T18)
count 672 15 13 754 809 904 27 17 3 5270
proportion 0.10% 0.00% 0.00% 0.11% 0.12% 0.14% 0.00% 0.00% 0.00% 0.80%
container $PSU(3,2):C_2$ (as 9T19) $C_3\wr S_3$ (as 9T20) $C_3\wr C_3:C_2$ (as 9T21) $C_3^3:C_6$ (as 9T22) $ASL(2,3)$ (as 9T23) $C_3\wr S_3:C_2$ (as 9T24) $C_3^3:C_2^2:C_3$ (as 9T25) $AGL(2,3)$ (as 9T26) $\PSL(2,8)$ (as 9T27) $S_3 \wr C_3 $ (as 9T28)
count 287 63 3 3 24 3 12 140 1 63
proportion 0.04% 0.01% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% 0.00% 0.01%
container $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T30) $S_3\wr S_3$ (as 9T31) $\mathrm{P}\Gamma\mathrm{L}(2,8)$ (as 9T32) $C_{10}$ (as 10T1) $D_{10}$ (as 10T3) $C_2\times F_5$ (as 10T5) $C_5\times D_5$ (as 10T6) $C_2^4:C_5$ (as 10T8) $D_5^2$ (as 10T9)
count 103 699 502 1 32 150 4 26 3 2
proportion 0.02% 0.11% 0.08% 0.00% 0.00% 0.02% 0.00% 0.00% 0.00% 0.00%
container $C_5:F_5$ (as 10T10) $C_2\times A_5$ (as 10T11) $S_5$ (as 10T12) $S_5$ (as 10T13) $C_2\times C_2^4:C_5$ (as 10T14) $C_2^4:D_5$ (as 10T15) $C_2^4:D_5$ (as 10T16) $D_5:F_5$ (as 10T17) $C_5:D_5.C_4$ (as 10T18) $D_5\wr C_2$ (as 10T19)
count 2 141 5774 5774 3 6 6 2 3 2
proportion 0.00% 0.02% 0.87% 0.87% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container $C_5^2:Q_8$ (as 10T20) $D_5\wr C_2$ (as 10T21) $C_2\times S_5$ (as 10T22) $C_2\times C_2^4:D_5$ (as 10T23) $C_2^4:C_5:C_4$ (as 10T24) $C_2^4:C_5:C_4$ (as 10T25) $A_6$ (as 10T26) $D_5\wr C_2:C_2$ (as 10T27) $D_5^2.C_4$ (as 10T28) $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29)
count 3 4 4 6 3 3 23 3 1 2
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container $\PGL(2,9)$ (as 10T30) $M_{10}$ (as 10T31) $S_{6}$ (as 10T32) $F_5 \wr C_2$ (as 10T33) $C_2^4 : A_5$ (as 10T34) $(A_6 : C_2) : C_2$ (as 10T35) $C_2 \wr A_5$ (as 10T36) $(C_2^4:A_5) : C_2$ (as 10T37) $(C_2^4:A_5) : C_2$ (as 10T38) $C_2 \wr S_5$ (as 10T39)
count 1 1 1581 1 2 1 1 3 3 2
proportion 0.00% 0.00% 0.24% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container $A_5 \wr C_2$ (as 10T40) $C_{11}$ (as 11T1) $D_{11}$ (as 11T2) $C_{11}:C_5$ (as 11T3) $F_{11}$ (as 11T4) $\PSL(2,11)$ (as 11T5) $M_{11}$ (as 11T6) $C_{12}$ (as 12T1) $C_3:C_4$ (as 12T5) $C_4\times S_3$ (as 12T11)
count 1 1 1 1 1 57 1 21 9 43
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.01% 0.00% 0.00% 0.00% 0.01%
container $D_{12}$ (as 12T12) $C_6\times S_3$ (as 12T18) $C_3\times C_3:C_4$ (as 12T19) $A_4:C_4$ (as 12T27) $C_4\times A_4$ (as 12T29) $A_5$ (as 12T33) $S_3\wr C_2$ (as 12T34) $C_3\times S_4$ (as 12T45) $C_4\times S_4$ (as 12T53) $C_2\times A_5$ (as 12T75)
count 94 282 1 10 6 1096 17340 3 2 141
proportion 0.01% 0.04% 0.00% 0.00% 0.00% 0.17% 2.62% 0.00% 0.00% 0.02%
container $C_2\times A_5$ (as 12T76) $C_2^2:S_4:C_2$ (as 12T108) $C_2\times S_5$ (as 12T123) $A_4\wr C_2$ (as 12T128) $C_3^3:C_2^2:C_3$ (as 12T132) $C_3^3:C_2^2:C_3$ (as 12T133) 12T160 12T161 12T165 12T175
count 141 216 4 72 24 12 63 133 133 103
proportion 0.02% 0.03% 0.00% 0.01% 0.00% 0.00% 0.01% 0.02% 0.02% 0.02%
container 12T176 12T177 12T178 $\PSL(2,11)$ (as 12T179) 12T181 12T182 12T183 12T200 12T201 12T202
count 63 1398 699 57 1 1 3162 2782 2782 2782
proportion 0.01% 0.21% 0.11% 0.01% 0.00% 0.00% 0.48% 0.42% 0.42% 0.42%
container 12T213 $\PGL(2,11)$ (as 12T218) 12T220 12T269 $M_{11}$ (as 12T272) $D_{13}$ (as 13T2) $C_{14}$ (as 14T1) $D_{14}$ (as 14T3) $C_7\times D_7$ (as 14T8) $SO(3,7)$ (as 14T16)
count 502 27 1 1 1 42 33 219 93 70
proportion 0.08% 0.00% 0.00% 0.00% 0.00% 0.01% 0.00% 0.03% 0.01% 0.01%
container 14T46 $C_{15}$ (as 15T1) $D_{15}$ (as 15T2) $C_3\times D_5$ (as 15T3) $C_5\times S_3$ (as 15T4) $A_7$ (as 15T47) $A_8$ (as 15T72) $C_{16}$ (as 16T1) $\SL(2,3):C_2$ (as 16T60) $C_2^4:C_5:C_4$ (as 16T711)
count 647 2 121 1 12 4 23 1 234 3
proportion 0.10% 0.00% 0.02% 0.00% 0.00% 0.00% 0.00% 0.00% 0.04% 0.00%
container $SO(3,7)$ (as 16T713) 16T1030 16T1081 16T1294 16T1328 $F_{17}$ (as 17T5) $\PSL(2,16)$ (as 17T6) $C_{18}$ (as 18T1) $C_9\times S_3$ (as 18T16) $C_3^2:S_3$ (as 18T24)
count 70 63 2 2782 3 1 3 4 6 904
proportion 0.01% 0.01% 0.00% 0.42% 0.00% 0.00% 0.00% 0.00% 0.00% 0.14%
container $C_3\times S_4$ (as 18T30) $C_3.S_3^2$ (as 18T51) $PSU(3,2):C_2$ (as 18T68) $C_3\wr S_3$ (as 18T86) $A_4\wr C_2$ (as 18T112) $C_3\wr S_3:C_2$ (as 18T129) $C_3^3:C_2^2:C_3$ (as 18T141) $C_3^3:C_2^2:C_3$ (as 18T142) $AGL(2,3)$ (as 18T157) 18T179
count 3 5270 287 63 72 3 12 12 140 133
proportion 0.00% 0.80% 0.04% 0.01% 0.01% 0.00% 0.00% 0.00% 0.02% 0.02%
container 18T184 18T185 18T197 18T202 18T206 18T217 18T218 18T219 18T220 18T272
count 63 266 126 63 63 699 699 103 103 2782
proportion 0.01% 0.04% 0.02% 0.01% 0.01% 0.11% 0.11% 0.02% 0.02% 0.42%
container 18T273 18T274 18T300 18T311 18T315 18T319 $C_{20}$ (as 20T1) $C_4\times D_5$ (as 20T6) $C_{10}\times D_5$ (as 20T24) $S_5$ (as 20T30)
count 2782 2782 502 502 502 502 2 2 2 5774
proportion 0.42% 0.42% 0.08% 0.08% 0.08% 0.08% 0.00% 0.00% 0.00% 0.87%
container $D_5\wr C_2$ (as 20T50) $C_2\times S_5$ (as 20T65) $C_2^4:C_5:C_4$ (as 20T77) $C_2^4:C_5:C_4$ (as 20T88) $D_5\wr C_2:C_2$ (as 20T90) $D_5^2.C_4$ (as 20T104) $D_5^2.C_4$ (as 20T107) 20T129 20T132 20T135
count 4 2 3 3 3 1 1 1 1 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container 20T145 20T146 20T148 20T155 20T169 20T177 20T201 20T204 20T208 20T218
count 1581 1 1 1 1 2 1 1 1 3
proportion 0.24% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container 20T222 20T223 20T224 20T225 20T285 20T289 $C_7\times S_3$ (as 21T6) $\PSL(2,7)$ (as 21T14) $SO(3,7)$ (as 21T20) $A_7$ (as 21T33)
count 3 3 1 1 2 2 2 300 70 4
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.05% 0.01% 0.00%
container 21T38 $C_{22}$ (as 22T1) 22T14 $\SL(2,3)$ (as 24T7) $\SL(2,3):C_2$ (as 24T21) $\GL(2,3)$ (as 24T22) $C_8\times S_3$ (as 24T32) $D_{24}$ (as 24T34) $C_{12}\times S_3$ (as 24T65) $C_2^3:A_4$ (as 24T97)
count 647 1 27 278 234 603 1 99 9 1075
proportion 0.10% 0.00% 0.00% 0.04% 0.04% 0.09% 0.00% 0.01% 0.00% 0.16%
container $C_4.S_4$ (as 24T138) $\SL(2,5)$ (as 24T201) $C_3\times \GL(2,3)$ (as 24T253) $F_8:C_3$ (as 24T283) $C_2\wr A_4$ (as 24T288) $C_2^3:A_4:C_2$ (as 24T332) $C_2^3:S_4$ (as 24T333) $ASL(2,3)$ (as 24T569) $C_4.A_5$ (as 24T576) $A_4\wr C_2$ (as 24T702)
count 30 12 2 215 4 580 506 24 174 72
proportion 0.00% 0.00% 0.00% 0.03% 0.00% 0.09% 0.08% 0.00% 0.03% 0.01%
container $C_2^3:S_4.C_2$ (as 24T708) $AGL(2,3)$ (as 24T1334) 24T1503 24T1505 24T1527 24T1539 24T1540 24T2821 24T2893 24T2912
count 138 140 133 63 103 63 103 2782 502 502
proportion 0.02% 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.42% 0.08% 0.08%
container 24T2949 24T2960 24T9631 $D_{25}$ (as 25T4) 25T88 $D_{26}$ (as 26T3) $D_{27}$ (as 27T8) 27T391 $D_{28}$ (as 28T10) $\PSL(2,8)$ (as 28T70)
count 27 1 1 50 1 64 74 1 70 1
proportion 0.00% 0.00% 0.00% 0.01% 0.00% 0.01% 0.01% 0.00% 0.01% 0.00%
container 28T159 28T165 $A_8$ (as 28T433) $D_{29}$ (as 29T2) $C_{30}$ (as 30T1) $C_6\times D_5$ (as 30T5) $C_{10}\times S_3$ (as 30T12) $D_{30}$ (as 30T14) $C_{15}\times S_3$ (as 30T15) $A_6$ (as 30T88)
count 1 1 23 32 2 1 3 157 2 23
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% 0.00% 0.00%
container 30T164 30T214 30T217 30T329 30T332 30T333 30T344 30T354 30T517 30T524
count 3162 2 2 3 3 3 1 1 1 2
proportion 0.48% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
container 30T565 $C_8.A_4$ (as 32T402) $\GL(2,3):C_4$ (as 32T2166) $C_{11}\times S_3$ (as 33T2) $C_3\times A_4:C_4$ (as 36T104) $A_6$ (as 36T555) 36T766 36T1101 36T1121 36T1123
count 1294 6 1 1 1 23 63 63 699 699
proportion 0.20% 0.00% 0.00% 0.00% 0.00% 0.00% 0.01% 0.01% 0.11% 0.11%
container 36T1126 36T1131 36T1252 36T1253 36T1254 36T1758 36T1763 36T2210 36T2214 36T2216
count 103 103 1581 1 1 2782 2782 502 502 502
proportion 0.02% 0.02% 0.24% 0.00% 0.00% 0.42% 0.42% 0.08% 0.08% 0.08%
container 36T2217 36T2341 36T7075 $\SL(2,5)$ (as 40T60) $C_{20}\times D_5$ (as 40T149) $C_4.A_5$ (as 40T188) 40T874 40T881 40T942 40T1676
count 502 1 1 12 2 174 1 1 2 3
proportion 0.08% 0.00% 0.00% 0.00% 0.00% 0.03% 0.00% 0.00% 0.00% 0.00%
container $\PSL(2,7)$ (as 42T37) $SO(3,7)$ (as 42T81) $SO(3,7)$ (as 42T82) 42T210 $A_7$ (as 42T294) $A_7$ (as 42T299) 42T411 42T412 42T413 42T418
count 300 70 70 2 4 4 647 647 647 647
proportion 0.05% 0.01% 0.01% 0.00% 0.00% 0.00% 0.10% 0.10% 0.10% 0.10%
container 48 50 51 55 56 60 68 70 72 84
count 10 1 3 253 50 12 3 1325 4 647
proportion 0.00% 0.00% 0.00% 0.04% 0.01% 0.00% 0.00% 0.20% 0.00% 0.10%
container 105 110 120 126 144 168 240 330 336
count 23 56 213 647 2 24 3 1 46
proportion 0.00% 0.01% 0.03% 0.10% 0.00% 0.00% 0.00% 0.00% 0.01%
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