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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.55636.1a $1$ R \(\Q\) 256.55636.1a $C_4^2.C_2^4$ $C_1$ $1$ 1.a1 $256$ 1.a1
256.55636.1aa $1$ R \(\Q\) 256.55636.1aa $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ab $1$ R \(\Q\) 256.55636.1ab $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ac $1$ R \(\Q\) 256.55636.1ac $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ad $1$ R \(\Q\) 256.55636.1ad $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ae $1$ R \(\Q\) 256.55636.1ae $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1af $1$ R \(\Q\) 256.55636.1af $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ag $1$ R \(\Q\) 256.55636.1ag $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ah $1$ R \(\Q\) 256.55636.1ah $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1ai $1$ R \(\Q\) 256.55636.1ai $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1aj $1$ R \(\Q\) 256.55636.1aj $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1ak $1$ R \(\Q\) 256.55636.1ak $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1al $1$ R \(\Q\) 256.55636.1al $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1am $1$ R \(\Q\) 256.55636.1am $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1an $1$ R \(\Q\) 256.55636.1an $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1ao $1$ R \(\Q\) 256.55636.1ao $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1ap $1$ R \(\Q\) 256.55636.1ap $C_4^2.C_2^4$ $C_2$ $2$ 2.d1 $128$ 1.a1
256.55636.1aq $1$ R \(\Q\) 256.55636.1aq $C_4^2.C_2^4$ $C_2$ $2$ 2.d1 $128$ 1.a1
256.55636.1ar $1$ R \(\Q\) 256.55636.1ar $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1as $1$ R \(\Q\) 256.55636.1as $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1at $1$ R \(\Q\) 256.55636.1at $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1au $1$ R \(\Q\) 256.55636.1au $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1av $1$ R \(\Q\) 256.55636.1av $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1aw $1$ R \(\Q\) 256.55636.1aw $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1ax $1$ R \(\Q\) 256.55636.1ax $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1ay $1$ R \(\Q\) 256.55636.1ay $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1az $1$ R \(\Q\) 256.55636.1az $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1b $1$ R \(\Q\) 256.55636.1b $C_4^2.C_2^4$ $C_2$ $2$ 2.g1 $128$ 1.a1
256.55636.1ba $1$ R \(\Q\) 256.55636.1ba $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1bb $1$ R \(\Q\) 256.55636.1bb $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1bc $1$ R \(\Q\) 256.55636.1bc $C_4^2.C_2^4$ $C_2$ $2$ 2.e1 $128$ 1.a1
256.55636.1bd $1$ R \(\Q\) 256.55636.1bd $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1be $1$ R \(\Q\) 256.55636.1be $C_4^2.C_2^4$ $C_2$ $2$ 2.f1 $128$ 1.a1
256.55636.1bf $1$ R \(\Q\) 256.55636.1bf $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1bg $1$ R \(\Q\) 256.55636.1bg $C_4^2.C_2^4$ $C_2$ $2$ 2.a1 $128$ 1.a1
256.55636.1bh $1$ R \(\Q\) 256.55636.1bh $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1bi $1$ R \(\Q\) 256.55636.1bi $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1bj $1$ R \(\Q\) 256.55636.1bj $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1bk $1$ R \(\Q\) 256.55636.1bk $C_4^2.C_2^4$ $C_2$ $2$ 2.b1 $128$ 1.a1
256.55636.1bl $1$ R \(\Q\) 256.55636.1bl $C_4^2.C_2^4$ $C_2$ $2$ 2.c1 $128$ 1.a1
256.55636.1bm1 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bm $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bm2 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bm $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bn1 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bn $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bn2 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bn $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bo1 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bo $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bo2 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bo $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bp1 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bp $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bp2 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bp $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bq1 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bq $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
256.55636.1bq2 $1$ C \(\Q(\sqrt{-1}) \) 256.55636.1bq $C_4^2.C_2^4$ $C_4$ $4$ 4.a1 $64$ 1.a1
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