LMFDB - Complex character search results

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Results (1-50 of 80 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
18872.a.1a	$1$	R	$1$	$\Q$	18872.a.1a	$C_{337}:C_{56}$	$C_1$	$1$	1.a1.a1	$18872$	1.a1.a1	$18872$	$1$	$1$
18872.a.1b	$1$	R	$1$	$\Q$	18872.a.1b	$C_{337}:C_{56}$	$C_2$	$2$	2.a1.a1	$9436$	1.a1.a1	$18872$	$1$	$1$
18872.a.1c1	$1$	C	$4$	$\Q(\sqrt{-1}) $	18872.a.1c	$C_{337}:C_{56}$	$C_4$	$4$	4.a1.a1	$4718$	1.a1.a1	$18872$	$1$	$1$
18872.a.1c2	$1$	C	$4$	$\Q(\sqrt{-1}) $	18872.a.1c	$C_{337}:C_{56}$	$C_4$	$4$	4.a1.a1	$4718$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d1	$1$	C	$8$	$\Q(\zeta_{8})$	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d2	$1$	C	$8$	$\Q(\zeta_{8})$	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d3	$1$	C	$8$	$\Q(\zeta_{8})$	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d4	$1$	C	$8$	$\Q(\zeta_{8})$	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e1	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e2	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e3	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e4	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e5	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e6	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f1	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f2	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f3	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f4	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f5	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f6	$1$	C	$7$	$\Q(\zeta_{7})$	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g1	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g10	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g11	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g12	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g2	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g3	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g4	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g5	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g6	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g7	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g8	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g9	$1$	C	$28$	$\Q(\sqrt{-1}) $	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h1	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h10	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h11	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h12	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h13	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h14	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h15	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h16	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h17	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h18	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h19	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h2	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h20	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h21	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h22	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h23	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h24	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h3	$1$	C	$56$	$\Q(\zeta_{8})$	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
18872.a.1a	$1$	R	$1$	\(\Q\)	18872.a.1a	$C_{337}:C_{56}$	$C_1$	$1$	1.a1.a1	$18872$	1.a1.a1	$18872$	$1$	$1$
18872.a.1b	$1$	R	$1$	\(\Q\)	18872.a.1b	$C_{337}:C_{56}$	$C_2$	$2$	2.a1.a1	$9436$	1.a1.a1	$18872$	$1$	$1$
18872.a.1c1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	18872.a.1c	$C_{337}:C_{56}$	$C_4$	$4$	4.a1.a1	$4718$	1.a1.a1	$18872$	$1$	$1$
18872.a.1c2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	18872.a.1c	$C_{337}:C_{56}$	$C_4$	$4$	4.a1.a1	$4718$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d1	$1$	C	$8$	\(\Q(\zeta_{8})\)	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d2	$1$	C	$8$	\(\Q(\zeta_{8})\)	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d3	$1$	C	$8$	\(\Q(\zeta_{8})\)	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1d4	$1$	C	$8$	\(\Q(\zeta_{8})\)	18872.a.1d	$C_{337}:C_{56}$	$C_8$	$8$	8.a1.a1	$2359$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e1	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e2	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e3	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e4	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e5	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1e6	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1e	$C_{337}:C_{56}$	$C_7$	$7$	7.a1.a1	$2696$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f1	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f2	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f3	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f4	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f5	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1f6	$1$	C	$7$	\(\Q(\zeta_{7})\)	18872.a.1f	$C_{337}:C_{56}$	$C_{14}$	$14$	14.a1.a1	$1348$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g1	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g10	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g11	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g12	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g2	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g3	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g4	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g5	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g6	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g7	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g8	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1g9	$1$	C	$28$	\(\Q(\sqrt{-1}) \)	18872.a.1g	$C_{337}:C_{56}$	$C_{28}$	$28$	28.a1.a1	$674$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h1	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h10	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h11	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h12	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h13	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h14	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h15	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h16	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h17	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h18	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h19	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h2	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h20	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h21	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h22	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h23	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h24	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$
18872.a.1h3	$1$	C	$56$	\(\Q(\zeta_{8})\)	18872.a.1h	$C_{337}:C_{56}$	$C_{56}$	$56$	56.a1.a1	$337$	1.a1.a1	$18872$	$1$	$1$