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Label Polynomial Discriminant Galois group Class group
6.0.30976.1 x6 - 2x5 + 2x4 - 2x3 + 4x2 - 4x + 2 \( -\,2^{8}\cdot 11^{2} \) $D_{6}$ (as 6T3) trivial
6.0.49408.1 x6 - x4 - 2x3 + x2 + 2x + 1 \( -\,2^{8}\cdot 193 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.59648.1 x6 - 2x5 + 2x3 - 2x2 + 2 \( -\,2^{8}\cdot 233 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.92416.1 x6 - 2x5 + 2x4 - 2x3 + 2 \( -\,2^{8}\cdot 19^{2} \) $D_{6}$ (as 6T3) trivial
6.0.96512.1 x6 + x4 - 2x3 - x2 + 2x + 1 \( -\,2^{8}\cdot 13\cdot 29 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.108800.1 x6 - 2x5 + 4x4 - 2x3 + 2x2 + 2 \( -\,2^{8}\cdot 5^{2}\cdot 17 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.139520.1 x6 - 2x4 - 2x3 + 2x2 + 4x + 2 \( -\,2^{8}\cdot 5\cdot 109 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.153856.1 x6 - 2x5 + 4x4 - 2x3 + 2x2 - 4x + 2 \( -\,2^{8}\cdot 601 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.186624.1 x6 - 2x3 + 2 \( -\,2^{8}\cdot 3^{6} \) $D_{6}$ (as 6T3) trivial
6.0.203008.1 x6 - 2x5 + 2x4 - 2x3 + 4x2 + 2 \( -\,2^{8}\cdot 13\cdot 61 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.221440.1 x6 - 2x5 - x4 + 2x3 + 5x2 - 4x + 1 \( -\,2^{8}\cdot 5\cdot 173 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.237824.1 x6 - x4 - 4x3 - x2 + 4x + 5 \( -\,2^{8}\cdot 929 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.252160.1 x6 - 4x4 - 2x3 + 4x2 + 4x + 2 \( -\,2^{8}\cdot 5\cdot 197 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.258304.1 x6 - 2x5 + 2x4 - 6x3 + 8x2 - 4x + 2 \( -\,2^{8}\cdot 1009 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.268544.1 x6 - 2x5 + 6x3 - 2x2 - 4x + 2 \( -\,2^{8}\cdot 1049 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.313600.1 x6 - 2x5 + 2x4 + 2x3 + 2 \( -\,2^{8}\cdot 5^{2}\cdot 7^{2} \) $D_{6}$ (as 6T3) trivial
6.0.315648.1 x6 - 2x5 - 3x4 + 6x3 + 3x2 - 4x + 1 \( -\,2^{8}\cdot 3^{2}\cdot 137 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.350464.1 x6 - 2x5 + 2x4 + 2x3 + 4x2 - 4x + 2 \( -\,2^{8}\cdot 37^{2} \) $D_{6}$ (as 6T3) trivial
6.0.381184.1 x6 - 2x5 - 2x3 + 2x2 + 4x + 2 \( -\,2^{8}\cdot 1489 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.473344.1 x6 - 2x3 + 4x2 + 4x + 2 \( -\,2^{8}\cdot 43^{2} \) $D_{6}$ (as 6T3) trivial
6.0.477440.1 x6 - 2x5 + 5x4 - 2x3 + 3x2 + 4x + 1 \( -\,2^{8}\cdot 5\cdot 373 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.491776.1 x6 - 5x4 - 2x3 + 9x2 + 6x + 1 \( -\,2^{8}\cdot 17\cdot 113 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.532736.1 x6 - 2x5 + 2x3 + 6x2 + 4x + 2 \( -\,2^{8}\cdot 2081 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.538880.1 x6 - 2x5 - x4 + 6x3 - 3x2 - 4x + 5 \( -\,2^{8}\cdot 5\cdot 421 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.610560.1 x6 - 2x5 + 5x4 - 6x3 + 7x2 - 8x + 5 \( -\,2^{8}\cdot 3^{2}\cdot 5\cdot 53 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.620800.1 x6 + x4 - 2x3 + 3x2 + 2x + 5 \( -\,2^{8}\cdot 5^{2}\cdot 97 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.624896.1 x6 - 5x4 - 2x3 + 5x2 + 6x + 5 \( -\,2^{8}\cdot 2441 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.651520.1 x6 - 2x5 + 4x4 - 2x3 - 2x2 + 4x + 2 \( -\,2^{8}\cdot 5\cdot 509 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.665856.1 x6 - x4 - 5x2 + 9 \( -\,2^{8}\cdot 3^{2}\cdot 17^{2} \) $D_{6}$ (as 6T3) trivial
6.0.667904.1 x6 - 2x5 + x4 - 2x3 + 3x2 - 4x + 5 \( -\,2^{8}\cdot 2609 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.682240.1 x6 - 2x5 - 3x4 + 6x3 + 3x2 - 8x + 5 \( -\,2^{8}\cdot 5\cdot 13\cdot 41 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.692480.1 x6 - x4 - 6x3 + 5x2 + 2x + 1 \( -\,2^{8}\cdot 5\cdot 541 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.702720.1 x6 - 5x4 - 6x3 + 9x2 + 14x + 5 \( -\,2^{8}\cdot 3^{2}\cdot 5\cdot 61 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.712960.1 x6 + 2x4 - 2x3 + 10x2 - 8x + 2 \( -\,2^{8}\cdot 5\cdot 557 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.741632.1 x6 - 2x5 - x4 + 2x3 + 5x2 - 12x + 9 \( -\,2^{8}\cdot 2897 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.766208.1 x6 - 2x5 + 8x4 - 10x3 + 14x2 - 8x + 2 \( -\,2^{8}\cdot 41\cdot 73 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.766208.2 x6 - x4 - 2x3 - 3x2 + 2x + 5 \( -\,2^{8}\cdot 41\cdot 73 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.835840.1 x6 - 3x4 - 2x3 + 7x2 + 10x + 5 \( -\,2^{8}\cdot 5\cdot 653 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.868608.1 x6 - 2x5 + 4x4 + 2x3 + 2x2 + 4x + 2 \( -\,2^{8}\cdot 3^{2}\cdot 13\cdot 29 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.915712.1 x6 - 5x4 - 4x3 + 3x2 + 12x + 13 \( -\,2^{8}\cdot 7^{2}\cdot 73 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.928000.1 x6 - x4 - 8x3 + 7x2 + 5 \( -\,2^{8}\cdot 5^{3}\cdot 29 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.938240.1 x6 - x4 - 2x3 + 9x2 - 10x + 5 \( -\,2^{8}\cdot 5\cdot 733 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.942336.1 x6 + 3x4 - 2x3 + 9x2 - 6x + 5 \( -\,2^{8}\cdot 3^{2}\cdot 409 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1018112.1 x6 - 5x4 - 2x3 + 13x2 - 6x + 1 \( -\,2^{8}\cdot 41\cdot 97 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1038592.1 x6 - 2x5 - 2x4 + 2x3 + 8x2 + 4x + 2 \( -\,2^{8}\cdot 4057 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1057024.1 x6 - 2x5 - 2x4 - 2x3 + 8x2 + 8x + 2 \( -\,2^{8}\cdot 4129 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1061120.1 x6 - 2x5 + 2x4 + 2x3 + 8x2 + 4x + 2 \( -\,2^{8}\cdot 5\cdot 829 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1075456.1 x6 - 2x5 + 2x3 - 2x2 - 4x + 10 \( -\,2^{8}\cdot 4201 \) $C_3^2:D_4$ (as 6T13) trivial
6.0.1081600.1 x6 - 2x5 + 6x4 - 2x3 + 4x2 + 4x + 2 \( -\,2^{8}\cdot 5^{2}\cdot 13^{2} \) $S_3^2$ (as 6T9) trivial
6.0.1100032.1 x6 - 2x5 + 3x4 + 4x3 - x2 + 6x + 9 \( -\,2^{8}\cdot 4297 \) $C_3^2:D_4$ (as 6T13) trivial
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