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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
480.1164.1a $1$ R \(\Q\) 480.1164.1a $C_{30}.C_2^4$ $C_1$ $1$ 1.a1 $480$ 1.a1
480.1164.1aa1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1aa $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1aa2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1aa $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1aa3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1aa $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1aa4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1aa $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ab1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ab $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ab2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ab $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ab3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ab $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ab4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ab $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ac1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ac $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ac2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ac $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ac3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ac $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ac4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ac $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1ad1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ad $C_{30}.C_2^4$ $C_{10}$ $10$ 10.d1 $48$ 1.a1
480.1164.1ad2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ad $C_{30}.C_2^4$ $C_{10}$ $10$ 10.d1 $48$ 1.a1
480.1164.1ad3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ad $C_{30}.C_2^4$ $C_{10}$ $10$ 10.d1 $48$ 1.a1
480.1164.1ad4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ad $C_{30}.C_2^4$ $C_{10}$ $10$ 10.d1 $48$ 1.a1
480.1164.1ae1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ae $C_{30}.C_2^4$ $C_{10}$ $10$ 10.c1 $48$ 1.a1
480.1164.1ae2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ae $C_{30}.C_2^4$ $C_{10}$ $10$ 10.c1 $48$ 1.a1
480.1164.1ae3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ae $C_{30}.C_2^4$ $C_{10}$ $10$ 10.c1 $48$ 1.a1
480.1164.1ae4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1ae $C_{30}.C_2^4$ $C_{10}$ $10$ 10.c1 $48$ 1.a1
480.1164.1af1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1af $C_{30}.C_2^4$ $C_{10}$ $10$ 10.b1 $48$ 1.a1
480.1164.1af2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1af $C_{30}.C_2^4$ $C_{10}$ $10$ 10.b1 $48$ 1.a1
480.1164.1af3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1af $C_{30}.C_2^4$ $C_{10}$ $10$ 10.b1 $48$ 1.a1
480.1164.1af4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1af $C_{30}.C_2^4$ $C_{10}$ $10$ 10.b1 $48$ 1.a1
480.1164.1b $1$ R \(\Q\) 480.1164.1b $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1c $1$ R \(\Q\) 480.1164.1c $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1d $1$ R \(\Q\) 480.1164.1d $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1e $1$ R \(\Q\) 480.1164.1e $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1f $1$ R \(\Q\) 480.1164.1f $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1g $1$ R \(\Q\) 480.1164.1g $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1h $1$ R \(\Q\) 480.1164.1h $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1i $1$ R \(\Q\) 480.1164.1i $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1j $1$ R \(\Q\) 480.1164.1j $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1k $1$ R \(\Q\) 480.1164.1k $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1l $1$ R \(\Q\) 480.1164.1l $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1m $1$ R \(\Q\) 480.1164.1m $C_{30}.C_2^4$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1164.1n $1$ R \(\Q\) 480.1164.1n $C_{30}.C_2^4$ $C_2$ $2$ 2.d1 $240$ 1.a1
480.1164.1o $1$ R \(\Q\) 480.1164.1o $C_{30}.C_2^4$ $C_2$ $2$ 2.c1 $240$ 1.a1
480.1164.1p $1$ R \(\Q\) 480.1164.1p $C_{30}.C_2^4$ $C_2$ $2$ 2.b1 $240$ 1.a1
480.1164.1q1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1q $C_{30}.C_2^4$ $C_5$ $5$ 5.a1 $96$ 1.a1
480.1164.1q2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1q $C_{30}.C_2^4$ $C_5$ $5$ 5.a1 $96$ 1.a1
480.1164.1q3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1q $C_{30}.C_2^4$ $C_5$ $5$ 5.a1 $96$ 1.a1
480.1164.1q4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1q $C_{30}.C_2^4$ $C_5$ $5$ 5.a1 $96$ 1.a1
480.1164.1r1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1r $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1r2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1r $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1r3 $1$ C \(\Q(\zeta_{5})\) 480.1164.1r $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1r4 $1$ C \(\Q(\zeta_{5})\) 480.1164.1r $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1s1 $1$ C \(\Q(\zeta_{5})\) 480.1164.1s $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
480.1164.1s2 $1$ C \(\Q(\zeta_{5})\) 480.1164.1s $C_{30}.C_2^4$ $C_{10}$ $10$ 10.a1 $48$ 1.a1
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