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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
8.5e2_7e4_131e2.12t213.1c1 $8$ $ 5^{2} \cdot 7^{4} \cdot 131^{2}$ x9 - 4x8 + 6x7 - 2x6 - 6x5 + 8x4 - 4x2 + x - 1 $S_3\wr S_3$ $1$ $0$
8.3e4_7e2_11e2_47e2.12t213.1c1 $8$ $ 3^{4} \cdot 7^{2} \cdot 11^{2} \cdot 47^{2}$ x9 + 9x7 - 4x6 + 27x5 - 24x4 + 31x3 - 36x2 + 12x + 11 $S_3\wr S_3$ $1$ $0$
8.2e10_1229e2.12t213.1c1 $8$ $ 2^{10} \cdot 1229^{2}$ x9 - 2x8 - x7 - x6 + 19x5 - 41x4 + 50x3 - 35x2 + 4x + 8 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_7e2_41e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 41^{2}$ x9 - x8 + 6x7 - 5x6 + 7x5 + 7x4 + 16x3 - 3x2 - 6x + 2 $S_3\wr S_3$ $1$ $0$
8.7e4_19e2_53e2.12t213.1c1 $8$ $ 7^{4} \cdot 19^{2} \cdot 53^{2}$ x9 - 3x8 + 5x7 - 2x6 - 5x5 + 8x4 + 4x3 - 4x2 + 2x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_5e2_71e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 71^{2}$ x9 - x8 + 4x7 - 6x6 + 8x5 - 2x4 + 4x2 - x - 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_7e2_53e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 53^{2}$ x9 - 6x7 + 20x5 - 16x4 - 4x3 - 4x2 + 20x - 12 $S_3\wr S_3$ $1$ $0$
8.2e14_499e2.12t213.1c1 $8$ $ 2^{14} \cdot 499^{2}$ x9 - 2x8 + 2x7 + 3x6 - 2x5 - 10x4 + 5x3 + 14x2 + 6x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_7e2_23e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2}$ x9 - 3x8 + 4x7 + 2x5 - 2x4 - 2x3 + 4x2 + x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_523e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 523^{2}$ x9 - 2x8 + 6x7 + 6x6 - 14x5 + 48x4 - 6x3 - 4x2 + 4x + 42 $S_3\wr S_3$ $1$ $0$
8.11e6_61e2.12t213.1c1 $8$ $ 11^{6} \cdot 61^{2}$ x9 - 3x8 + 6x7 - 4x6 - x5 + 7x4 - 8x3 - x2 + 3x + 1 $S_3\wr S_3$ $1$ $0$
8.2e12_3e4_11e2_13e2.12t213.1c1 $8$ $ 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2}$ x9 - x8 + 3x7 + x6 - x5 - x4 - 4x2 - 3x - 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_587e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 587^{2}$ x9 - 3x8 - 4x6 + 18x5 + 6x4 - 20x3 - 8x2 + x - 3 $S_3\wr S_3$ $1$ $0$
8.2e20_5e2_17e2.12t213.1c1 $8$ $ 2^{20} \cdot 5^{2} \cdot 17^{2}$ x9 - 2x8 + 5x7 + 2x6 + 2x5 + 6x4 + 2x3 + 4x2 + 8x + 4 $S_3\wr S_3$ $1$ $0$
8.3e10_367e2.12t213.1c1 $8$ $ 3^{10} \cdot 367^{2}$ x9 - 2x8 + x7 - 2x6 + 5x5 + 5x4 - 16x3 + 7x2 + 4x - 4 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_631e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{4} \cdot 631^{2}$ x9 - 3x8 + 2x7 + 4x6 - 22x5 + 16x4 + 26x3 - 18x2 - x + 1 $S_3\wr S_3$ $1$ $0$
8.2e20_3e2_31e2.12t213.1c1 $8$ $ 2^{20} \cdot 3^{2} \cdot 31^{2}$ x9 + 4x7 - 6x6 + 13x5 - 16x4 + 18x3 - 26x2 + 16x - 8 $S_3\wr S_3$ $1$ $0$
8.3e12_131e2.12t213.1c1 $8$ $ 3^{12} \cdot 131^{2}$ x9 - 3x8 + 9x7 + 21x6 - 6x5 + 72x4 + 33x3 + 60x2 + 64 $S_3\wr S_3$ $1$ $0$
8.2e6_523e3.9t26.1c1 $8$ $ 2^{6} \cdot 523^{3}$ x9 - x7 - 5x6 + x5 + 2x4 + 4x3 - 3x2 - x + 1 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
8.3e10_397e2.12t213.1c1 $8$ $ 3^{10} \cdot 397^{2}$ x9 - 4x8 + 7x7 - 9x6 + 8x5 - 17x4 + 3x3 + 5x2 - 2x - 1 $S_3\wr S_3$ $1$ $0$
8.2e18_3e2_5e2_13e2.12t213.1c1 $8$ $ 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ x9 - 2x8 - x7 + 15x5 - 40x4 + 47x3 - 32x2 + 12x - 2 $S_3\wr S_3$ $1$ $0$
8.2e12_3e6_61e2.12t213.1c1 $8$ $ 2^{12} \cdot 3^{6} \cdot 61^{2}$ x9 - x8 - 4x7 + 5x5 + x4 + 7x3 + 5x2 + 3x + 1 $S_3\wr S_3$ $1$ $0$
8.2e18_211e2.12t213.1c1 $8$ $ 2^{18} \cdot 211^{2}$ x9 - 2x8 + 4x7 - 2x5 + 8x4 - x3 + 2x2 + 4x + 2 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_251e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{6} \cdot 251^{2}$ x9 - 4x8 + 11x7 - 34x6 + 71x5 - 104x4 + 117x3 - 82x2 + 60x - 24 $S_3\wr S_3$ $1$ $0$
8.2e12_3e10_7e2.12t213.1c1 $8$ $ 2^{12} \cdot 3^{10} \cdot 7^{2}$ x9 - 3x8 + 3x7 + 3x6 - 3x5 - 3x4 + 15x3 - 9x2 + 12 $S_3\wr S_3$ $1$ $0$
8.2e10_59e4.12t178.1c1 $8$ $ 2^{10} \cdot 59^{4}$ x9 - 3x8 - 7x7 + 21x6 + 39x5 - 25x4 - 77x3 - 25x2 + 48x + 44 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
8.3e10_11e2_43e2.12t213.1c1 $8$ $ 3^{10} \cdot 11^{2} \cdot 43^{2}$ x9 - 4x8 + 4x7 + 3x6 - 2x5 - 7x4 + 11x2 + 4x + 1 $S_3\wr S_3$ $1$ $0$
8.2e6_3e6_13e2_41e2.12t213.1c1 $8$ $ 2^{6} \cdot 3^{6} \cdot 13^{2} \cdot 41^{2}$ x9 - 3x8 + 11x7 - 20x6 + 18x5 + x4 - 25x3 - 15x2 + 26x - 13 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_271e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{6} \cdot 271^{2}$ x9 - 3x8 + 6x7 - 6x6 + 4x5 - 10x3 + 10x2 - 9x - 3 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_5e4_11e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2}$ x9 - 3x8 + 9x7 - 18x6 + 28x5 - 37x4 + 48x3 - 40x2 + 40x - 40 $S_3\wr S_3$ $1$ $0$
8.2e18_3e10.12t213.1c1 $8$ $ 2^{18} \cdot 3^{10}$ x9 - 3x6 + 3x5 - 3x4 - 6x2 + 6x - 2 $S_3\wr S_3$ $1$ $0$
8.2e10_3e4_433e2.12t213.1c1 $8$ $ 2^{10} \cdot 3^{4} \cdot 433^{2}$ x9 - 5x7 - 2x6 + 8x5 + 2x4 + 9x3 - 4x2 - 26x + 18 $S_3\wr S_3$ $1$ $0$
8.11e3_233e3.9t26.1c1 $8$ $ 11^{3} \cdot 233^{3}$ x9 - 2x8 + 2x7 - x6 + 3x5 + 3x4 - 14x3 - 12x2 + x + 2 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
8.2e20_127e2.12t213.1c1 $8$ $ 2^{20} \cdot 127^{2}$ x9 - 4x8 + 9x7 - 6x6 - 7x5 + 12x4 + 5x3 - 2x2 - 8x - 4 $S_3\wr S_3$ $1$ $0$
8.3e7_53e4.9t26.1c1 $8$ $ 3^{7} \cdot 53^{4}$ x9 - x8 - 3x7 + 3x6 - 3x5 + 6x4 + 9x3 - 18x2 - 9x + 18 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
8.3e7_53e4.18t157.1c1 $8$ $ 3^{7} \cdot 53^{4}$ x9 - x8 - 3x7 + 3x6 - 3x5 + 6x4 + 9x3 - 18x2 - 9x + 18 $((C_3^2:Q_8):C_3):C_2$ $1$ $-2$
8.2e12_3e6_7e2_11e2.12t213.1c1 $8$ $ 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2}$ x9 - x8 - 3x6 + x5 + 3x4 + 3x3 - 4x2 + 1 $S_3\wr S_3$ $1$ $0$
8.3e9_97e3.9t26.1c1 $8$ $ 3^{9} \cdot 97^{3}$ x9 - 3x8 + 7x6 - 3x5 - 12x4 + 8x3 + 3x - 2 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
8.3e12_229e2.12t213.1c1 $8$ $ 3^{12} \cdot 229^{2}$ x9 - 9x7 + 27x5 - 31x3 + 12x - 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_409e2.12t213.1c1 $8$ $ 2^{8} \cdot 3^{6} \cdot 409^{2}$ x9 - 3x8 + 10x6 - 10x5 - 8x4 + 28x3 - 14x2 - 19x + 21 $S_3\wr S_3$ $1$ $0$
8.2e10_5e4_223e2.12t213.1c1 $8$ $ 2^{10} \cdot 5^{4} \cdot 223^{2}$ x9 - 3x8 + 4x7 - 6x6 - x5 + 9x4 - 21x3 + 7x2 + 25x + 5 $S_3\wr S_3$ $1$ $0$
8.2e6_3e6_5e2_167e2.12t213.1c1 $8$ $ 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 167^{2}$ x9 - 2x8 - 3x7 + 5x6 + 15x5 + 10x4 - 12x3 - 15x2 - 9x + 9 $S_3\wr S_3$ $1$ $0$
8.3e12_257e2.12t213.1c1 $8$ $ 3^{12} \cdot 257^{2}$ x9 - 9x7 - x6 + 27x5 + 6x4 - 31x3 - 9x2 + 12x + 3 $S_3\wr S_3$ $1$ $0$
8.3e9_37e4.9t26.1c1 $8$ $ 3^{9} \cdot 37^{4}$ x9 + 3x7 - 3x6 + 6x3 + 3x2 - 9x - 5 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
8.3e9_37e4.18t157.1c1 $8$ $ 3^{9} \cdot 37^{4}$ x9 + 3x7 - 3x6 + 6x3 + 3x2 - 9x - 5 $((C_3^2:Q_8):C_3):C_2$ $1$ $-2$
8.2e8_5e6_97e2.12t213.1c1 $8$ $ 2^{8} \cdot 5^{6} \cdot 97^{2}$ x9 - 3x8 + 8x6 - 6x5 - 6x4 + 8x2 + 5x - 5 $S_3\wr S_3$ $1$ $0$
8.17e6_41e2.12t213.1c1 $8$ $ 17^{6} \cdot 41^{2}$ x9 - 2x8 - 4x7 + 11x6 + 2x5 - 19x4 + 7x3 + 11x2 - 5x - 1 $S_3\wr S_3$ $1$ $0$
8.2e22_101e2.12t213.1c1 $8$ $ 2^{22} \cdot 101^{2}$ x9 - 4x8 + 8x7 - 11x6 + 15x5 - 29x4 + 44x3 - 38x2 + 14x + 2 $S_3\wr S_3$ $1$ $0$
8.2e6_3e10_109e2.12t213.1c1 $8$ $ 2^{6} \cdot 3^{10} \cdot 109^{2}$ x9 - 4x8 + 5x7 + 5x6 - 17x5 + 10x4 + 10x3 - 13x2 + 5x - 3 $S_3\wr S_3$ $1$ $0$
8.3571e3.9t26.1c1 $8$ $ 3571^{3}$ x9 - 3x8 - 2x7 + 8x6 + 9x5 - 10x4 - 6x3 + 9x2 - x - 1 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
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