J_{1}

2^{3}.7.3 1045 1a + 56ab + 76a + 77bc + 120abc + 133a + 209a

11

Character Numbers: [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 15 ]

\begin{matrix}J_{1} & S_{1} & S_{2} & S_{3} & S_{4} & S_{5} & S_{6} \\ χ_{1} & 1 & 8 & 28 & 56 & 56 & 56 \\ χ_{2} & 1 & −2 + r5 & 1 − 3r5 & 1 − 4r5 & −11 + r5 & 15 + 7b5 \\ χ_{3} & 1 & −2 − r5 & 1 + 3r5 & 1 + 4r5 & −11 − r5 & 8 − 7b5 \\ χ_{4} & 1 & 2 & 11 & −4 & 4 & −2 \\ χ_{5} & 1 & −2 + r5 & −7 & 1 − 4r5 & −4 − 4r5 & −4 + r5 \\ χ_{6} & 1 & −2 − r5 & −7 & 1 + 4r5 & 8b5 & −4 − r5 \\ χ_{7} & 1 & 1 − 5c19 − c19 ∗ 2 & −2 + c19 − c19 ∗ 2 & 4c19 − c19 ∗ 2 & 2 + c19 + 4c19 ∗ 2 & 5 + 4c19 + 7c19 ∗ 2 \\ χ_{8} & 1 & 6 + 4c19 + 5c19 ∗ 2 & −3 − 2c19 − c19 ∗ 2 & −4 − 5c19 − 4c19 ∗ 2 & 1 + 3c19 − c19 ∗ 2 & 1 + 3c19 − 4c19 ∗ 2 \\ χ_{9} & 1 & 2 + c19 − 4c19 ∗ 2 & −1 + c19 + 2c19 ∗ 2 & 1 + c19 + 5c19 ∗ 2 & −2 − 4c19 − 3c19 ∗ 2 & −2 − 7c19 − 3c19 ∗ 2 \\ χ_{10} & 1 & 3 & 1 & 1 & 4 & 9 \\ χ_{11} & 1 & −3 & 1 & 1 & 4 & 3 \end{matrix}

\begin{matrix}J_{1} & S_{7} & S_{8} & S_{9} & S_{10} & S_{11} \\ χ_{1} & 168 & 168 & 168 & 168 & 168 \\ χ_{2} & −6r5 & −18 − 3b5 & 9 − 9b5 & 12b5 & 15 + 15b5 \\ χ_{3} & 6r5 & −15 + 3b5 & 18 + 9b5 & −6 − 6r5 & −15b5 \\ χ_{4} & −24 & −6 & 12 & 18 & −12 \\ χ_{5} & 3 & 3 + 9r5 & 3 + 3r5 & 18 − 3r5 & −12 − 3r5 \\ χ_{6} & 3 & 3 − 9r5 & −6b5 & 18 + 3r5 & −9 + 6b5 \\ χ_{7} & −8 − 3c19 − 4c19 ∗ 2 & 7 − 2c19 − 3c19 ∗ 2 & −6 + c19 + c19 ∗ 2 & −2 − 2c19 − 2c19 ∗ 2 & 2 + c19 \\ χ_{8} & −5 − c19 + 3c19 ∗ 2 & 9 − c19 + 2c19 ∗ 2 & −7 − c19 ∗ 2 & 2c19 ∗ 2 & 1 − c19 − c19 ∗ 2 \\ χ_{9} & −4 + 4c19 + c19 ∗ 2 & 10 + 3c19 + c19 ∗ 2 & −7 − c19 & 2c19 & 2 + c19 ∗ 2 \\ χ_{10} & 15 & −4 & −14 & −1 & −15 \\ χ_{11} & −9 & 14 & −8 & −7 & 3 \end{matrix}

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