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Label Polynomial Discriminant Galois group Class group
6.2.1382400.1 x6 - 2x4 - 4x3 - 8x2 - 8x - 2 \( 2^{11}\cdot 3^{3}\cdot 5^{2} \) $S_3^2$ (as 6T9) trivial
6.2.2037760.1 x6 - 2x5 + 5x4 - 8x3 + 7x2 - 6x + 1 \( 2^{11}\cdot 5\cdot 199 \) $S_6$ (as 6T16) trivial
6.2.2480128.1 x6 - 2x5 - 3x4 + 3x2 + 2x + 3 \( 2^{11}\cdot 7\cdot 173 \) $S_6$ (as 6T16) trivial
6.2.2725888.3 x6 - 6x4 + 20x2 - 22 \( 2^{11}\cdot 11^{3} \) $D_{6}$ (as 6T3) trivial
6.0.4139008.1 x6 - 2x5 - x4 - 4x3 + 9x2 + 6x + 1 \( -\,2^{11}\cdot 43\cdot 47 \) $S_6$ (as 6T16) $[2]$
6.2.4478976.4 x6 - 6x4 + 12x2 - 6 \( 2^{11}\cdot 3^{7} \) $D_{6}$ (as 6T3) trivial
6.0.4794368.1 x6 - 2x5 + 3x4 + 7x2 + 2x + 3 \( -\,2^{11}\cdot 2341 \) $S_6$ (as 6T16) $[2]$
6.2.4937728.2 x6 - 4x4 - 4x3 - 4x2 - 2 \( 2^{11}\cdot 2411 \) $S_6$ (as 6T16) trivial
6.2.5691392.1 x6 + 2x4 - 4x2 - 16x - 6 \( 2^{11}\cdot 7\cdot 397 \) $S_6$ (as 6T16) trivial
6.2.6690816.1 x6 + 6x4 - 54 \( 2^{11}\cdot 3^{3}\cdot 11^{2} \) $D_{6}$ (as 6T3) trivial
6.0.7186432.2 x6 + 2x4 + 12x2 + 58 \( -\,2^{11}\cdot 11^{2}\cdot 29 \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.7215104.1 x6 - 4x3 - 6x2 - 4x - 2 \( 2^{11}\cdot 13\cdot 271 \) $S_6$ (as 6T16) trivial
6.2.7346176.1 x6 - 2x5 + x4 - 4x3 - x2 - 2x + 1 \( 2^{11}\cdot 17\cdot 211 \) $S_6$ (as 6T16) trivial
6.4.7464960.1 x6 - 6x4 - 4x3 + 4 \( -\,2^{11}\cdot 3^{6}\cdot 5 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.7514112.1 x6 - 2x5 + 7x4 - 8x3 + 13x2 - 6x + 9 \( -\,2^{11}\cdot 3\cdot 1223 \) $S_6$ (as 6T16) $[2]$
6.2.7591936.1 x6 - 2x4 - 8x3 - 4x2 - 16x - 8 \( 2^{11}\cdot 11\cdot 337 \) $S_6$ (as 6T16) trivial
6.2.8017920.3 x6 + 2x4 - 8x3 - 2x2 + 4x - 2 \( 2^{11}\cdot 3^{3}\cdot 5\cdot 29 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.8792064.1 x6 - 6x4 - 4x3 + 12x2 - 2 \( -\,2^{11}\cdot 3^{4}\cdot 53 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.8820736.1 x6 + 2x4 - 2x2 - 4x - 2 \( 2^{11}\cdot 59\cdot 73 \) $S_6$ (as 6T16) trivial
6.4.9005056.1 x6 - 2x5 - 3x4 + 8x3 - x2 - 6x + 1 \( -\,2^{11}\cdot 4397 \) $S_6$ (as 6T16) trivial
6.4.9234432.1 x6 - 2x5 - x4 + 8x3 - 11x2 + 2x + 1 \( -\,2^{11}\cdot 3^{3}\cdot 167 \) $S_6$ (as 6T16) trivial
6.2.9476096.1 x6 - 2x5 - x4 + 4x3 - 7x2 + 6x + 9 \( 2^{11}\cdot 7\cdot 661 \) $S_6$ (as 6T16) trivial
6.2.9558016.1 x6 - 2x5 + x4 - 8x3 + 19x2 - 6x - 7 \( 2^{11}\cdot 13\cdot 359 \) $S_6$ (as 6T16) trivial
6.0.9611264.2 x6 + 8x4 + 24x2 + 26 \( -\,2^{11}\cdot 13\cdot 19^{2} \) $S_4\times C_2$ (as 6T11) $[2]$
6.4.10561536.1 x6 - 2x5 - 3x4 + 11x2 + 2x - 5 \( -\,2^{11}\cdot 3^{3}\cdot 191 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.10655744.1 x6 - 4x4 + 28x2 - 86 \( 2^{11}\cdot 11^{2}\cdot 43 \) $S_4\times C_2$ (as 6T11) trivial
6.2.10672128.1 x6 - 2x5 + x4 + 4x3 - 7x2 + 6x - 5 \( 2^{11}\cdot 3^{3}\cdot 193 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.10754048.1 x6 - 4x3 + 2x2 + 4x - 2 \( 2^{11}\cdot 59\cdot 89 \) $S_6$ (as 6T16) trivial
6.2.11114496.1 x6 - 2x5 - x4 + 4x3 - x2 - 2x - 5 \( 2^{11}\cdot 3^{4}\cdot 67 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.11573248.1 x6 - 2x5 - 3x4 + 4x3 + 5x2 - 2x - 5 \( 2^{11}\cdot 5651 \) $S_6$ (as 6T16) trivial
6.2.11933696.2 x6 - 2x5 + 3x4 - 8x3 + 9x2 - 6x + 1 \( 2^{11}\cdot 5827 \) $S_6$ (as 6T16) trivial
6.0.12544000.1 x6 + 8x4 + 16x2 + 10 \( -\,2^{11}\cdot 5^{3}\cdot 7^{2} \) $D_{6}$ (as 6T3) $[2]$
6.0.13133824.4 x6 + 6x4 + 8x2 + 106 \( -\,2^{11}\cdot 11^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.13162496.2 x6 - 6x4 - 4x3 + 4x2 - 2 \( 2^{11}\cdot 6427 \) $S_6$ (as 6T16) trivial
6.2.13342720.1 x6 - 2x5 - x4 + 8x3 - 13x2 + 10x - 5 \( 2^{11}\cdot 5\cdot 1303 \) $S_6$ (as 6T16) trivial
6.2.13572096.1 x6 - 2x5 + 3x4 + 8x3 - 17x2 + 26x - 7 \( 2^{11}\cdot 3\cdot 47^{2} \) $S_6$ (as 6T16) trivial
6.4.14018560.3 x6 + 2x4 - 12x2 + 10 \( -\,2^{11}\cdot 5\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.14047232.2 x6 - 2x4 - 38 \( 2^{11}\cdot 19^{3} \) $S_4\times C_2$ (as 6T11) trivial
6.2.14047232.3 x6 + 4x4 + 4x2 - 38 \( 2^{11}\cdot 19^{3} \) $D_{6}$ (as 6T3) trivial
6.4.14477312.1 x6 - 2x4 - 4x3 - 4x2 + 8x + 4 \( -\,2^{11}\cdot 7069 \) $S_6$ (as 6T16) trivial
6.2.14653440.1 x6 - 4x4 - 4x3 - 2x2 - 4x - 2 \( 2^{11}\cdot 3^{3}\cdot 5\cdot 53 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.15116288.1 x6 - 8x4 - 8x2 + 122 \( -\,2^{11}\cdot 11^{2}\cdot 61 \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.15980544.1 x6 + 2x4 + 4x2 - 6 \( 2^{11}\cdot 3^{3}\cdot 17^{2} \) $D_{6}$ (as 6T3) trivial
6.4.17197056.1 x6 - 2x5 - x4 - 3x2 + 2x + 1 \( -\,2^{11}\cdot 3^{3}\cdot 311 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.17307648.1 x6 - 2x5 - 3x4 + 8x3 + 15x2 + 10x + 1 \( 2^{11}\cdot 3^{3}\cdot 313 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.17766400.1 x6 - 2x5 - x4 + 3x2 + 18x - 7 \( 2^{11}\cdot 5^{2}\cdot 347 \) $S_6$ (as 6T16) trivial
6.4.17917952.1 x6 - 2x5 + x4 - 5x2 + 2x + 1 \( -\,2^{11}\cdot 13\cdot 673 \) $S_6$ (as 6T16) trivial
6.2.19077120.1 x6 - 2x5 + x4 - 3x2 - 6x + 3 \( 2^{11}\cdot 3^{4}\cdot 5\cdot 23 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.19081216.3 x6 + 12x4 + 44x2 + 154 \( -\,2^{11}\cdot 7\cdot 11^{3} \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.19961856.2 x6 - 6x4 + 36x2 - 54 \( 2^{11}\cdot 3^{3}\cdot 19^{2} \) $D_{6}$ (as 6T3) trivial
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