LMFDB - Complex character search results

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Results (1-50 of 72 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
2400.bt.1a	$1$	R	$1$	$\Q$	2400.bt.1a	$\SL(2,5):D_{10}$	$C_1$	$1$	1.a1.a1	$2400$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1b	$1$	R	$1$	$\Q$	2400.bt.1b	$\SL(2,5):D_{10}$	$C_2$	$2$	2.b1.b1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1c	$1$	R	$1$	$\Q$	2400.bt.1c	$\SL(2,5):D_{10}$	$C_2$	$2$	2.b1.a1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1d	$1$	R	$1$	$\Q$	2400.bt.1d	$\SL(2,5):D_{10}$	$C_2$	$2$	2.a1.a1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.2a1	$2$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.2a	$\SL(2,5):D_{10}$	$D_5$	$10$	10.a1.a1	$240$	10.a1.a1	$240$	$10$	$1$
2400.bt.2a2	$2$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.2a	$\SL(2,5):D_{10}$	$D_5$	$10$	10.a1.a1	$240$	10.a1.a1	$240$	$10$	$1$
2400.bt.2b1	$2$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.2b	$\SL(2,5):D_{10}$	$D_{10}$	$20$	20.a1.a1	$120$	10.a1.a1	$240$	$10$	$1$
2400.bt.2b2	$2$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.2b	$\SL(2,5):D_{10}$	$D_{10}$	$20$	20.a1.a1	$120$	10.a1.a1	$240$	$10$	$1$
2400.bt.2c1	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c2	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c3	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c4	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d1	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d2	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d3	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d4	$2$	C	$20$	$\Q(i, \sqrt{5})$	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.3a1	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.3a2	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.3b1	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3b2	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3c1	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3c2	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3d1	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3d2	$3$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.3d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4a	$4$	R	$1$	$\Q$	2400.bt.4a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.4b	$4$	R	$1$	$\Q$	2400.bt.4b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4c	$4$	R	$1$	$\Q$	2400.bt.4c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4d	$4$	R	$1$	$\Q$	2400.bt.4d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4e1	$4$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.4e	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4e2	$4$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.4e	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4f1	$4$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.4f	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4f2	$4$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.4f	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4g1	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4g	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4g2	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4g	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4h1	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4h	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4h2	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4h	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4i1	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4i	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4i2	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4i	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4j1	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4j	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4j2	$4$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.4j	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.5a	$5$	R	$1$	$\Q$	2400.bt.5a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.5b	$5$	R	$1$	$\Q$	2400.bt.5b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.5c	$5$	R	$1$	$\Q$	2400.bt.5c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.5d	$5$	R	$1$	$\Q$	2400.bt.5d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.6a1	$6$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.6a	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6a2	$6$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.6a	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6b1	$6$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.6b	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6b2	$6$	C	$4$	$\Q(\sqrt{-1}) $	2400.bt.6b	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6c1	$6$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.6c	$\SL(2,5):D_{10}$	$D_{10}\times A_5$	$1200$	1200.b1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.6c2	$6$	R	$5$	$\Q(\sqrt{5}) $	2400.bt.6c	$\SL(2,5):D_{10}$	$D_{10}\times A_5$	$1200$	1200.b1.a1	$2$	600.a1.a1	$4$	$600$	$1$

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Results (1-50 of 72 matches)

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
2400.bt.1a	$1$	R	$1$	\(\Q\)	2400.bt.1a	$\SL(2,5):D_{10}$	$C_1$	$1$	1.a1.a1	$2400$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1b	$1$	R	$1$	\(\Q\)	2400.bt.1b	$\SL(2,5):D_{10}$	$C_2$	$2$	2.b1.b1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1c	$1$	R	$1$	\(\Q\)	2400.bt.1c	$\SL(2,5):D_{10}$	$C_2$	$2$	2.b1.a1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.1d	$1$	R	$1$	\(\Q\)	2400.bt.1d	$\SL(2,5):D_{10}$	$C_2$	$2$	2.a1.a1	$1200$	1.a1.a1	$2400$	$1$	$1$
2400.bt.2a1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.2a	$\SL(2,5):D_{10}$	$D_5$	$10$	10.a1.a1	$240$	10.a1.a1	$240$	$10$	$1$
2400.bt.2a2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.2a	$\SL(2,5):D_{10}$	$D_5$	$10$	10.a1.a1	$240$	10.a1.a1	$240$	$10$	$1$
2400.bt.2b1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.2b	$\SL(2,5):D_{10}$	$D_{10}$	$20$	20.a1.a1	$120$	10.a1.a1	$240$	$10$	$1$
2400.bt.2b2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.2b	$\SL(2,5):D_{10}$	$D_{10}$	$20$	20.a1.a1	$120$	10.a1.a1	$240$	$10$	$1$
2400.bt.2c1	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c2	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c3	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2c4	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2c	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d1	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d2	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d3	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.2d4	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	2400.bt.2d	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.3a1	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.3a2	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.3b1	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3b2	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3c1	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3c2	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3d1	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.3d2	$3$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.3d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4a	$4$	R	$1$	\(\Q\)	2400.bt.4a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.4b	$4$	R	$1$	\(\Q\)	2400.bt.4b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4c	$4$	R	$1$	\(\Q\)	2400.bt.4c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4d	$4$	R	$1$	\(\Q\)	2400.bt.4d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.4e1	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.4e	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4e2	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.4e	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4f1	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.4f	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4f2	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.4f	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.4g1	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4g	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4g2	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4g	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4h1	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4h	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4h2	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4h	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.b1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4i1	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4i	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4i2	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4i	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4j1	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4j	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.4j2	$4$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.4j	$\SL(2,5):D_{10}$	$\SL(2,5):D_5$	$1200$	1200.a1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.5a	$5$	R	$1$	\(\Q\)	2400.bt.5a	$\SL(2,5):D_{10}$	$A_5$	$60$	60.a1.a1	$40$	60.a1.a1	$40$	$60$	$1$
2400.bt.5b	$5$	R	$1$	\(\Q\)	2400.bt.5b	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.b1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.5c	$5$	R	$1$	\(\Q\)	2400.bt.5c	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.b1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.5d	$5$	R	$1$	\(\Q\)	2400.bt.5d	$\SL(2,5):D_{10}$	$C_2\times A_5$	$120$	120.a1.a1	$20$	60.a1.a1	$40$	$60$	$1$
2400.bt.6a1	$6$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.6a	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6a2	$6$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.6a	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.b1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6b1	$6$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.6b	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6b2	$6$	C	$4$	\(\Q(\sqrt{-1}) \)	2400.bt.6b	$\SL(2,5):D_{10}$	$\SL(2,5):C_2$	$240$	240.a1.a1	$10$	60.a1.a1	$40$	$60$	$1$
2400.bt.6c1	$6$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.6c	$\SL(2,5):D_{10}$	$D_{10}\times A_5$	$1200$	1200.b1.a1	$2$	600.a1.a1	$4$	$600$	$1$
2400.bt.6c2	$6$	R	$5$	\(\Q(\sqrt{5}) \)	2400.bt.6c	$\SL(2,5):D_{10}$	$D_{10}\times A_5$	$1200$	1200.b1.a1	$2$	600.a1.a1	$4$	$600$	$1$