LMFDB - Complex character search results

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Results (49 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
960.10981.1a	$1$	R		$1$	$\Q$	960.10981.1a	$\GL(2,3):D_{10}$	$C_1$	$1$	1.a1.a1	$960$	1.a1.a1	$960$	$1$	$1$
960.10981.1b	$1$	R		$1$	$\Q$	960.10981.1b	$\GL(2,3):D_{10}$	$C_2$	$2$	2.e1.b1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1c	$1$	R		$1$	$\Q$	960.10981.1c	$\GL(2,3):D_{10}$	$C_2$	$2$	2.d1.b1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1d	$1$	R		$1$	$\Q$	960.10981.1d	$\GL(2,3):D_{10}$	$C_2$	$2$	2.d1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1e	$1$	R		$1$	$\Q$	960.10981.1e	$\GL(2,3):D_{10}$	$C_2$	$2$	2.e1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1f	$1$	R		$1$	$\Q$	960.10981.1f	$\GL(2,3):D_{10}$	$C_2$	$2$	2.c1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1g	$1$	R		$1$	$\Q$	960.10981.1g	$\GL(2,3):D_{10}$	$C_2$	$2$	2.b1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1h	$1$	R		$1$	$\Q$	960.10981.1h	$\GL(2,3):D_{10}$	$C_2$	$2$	2.a1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.2a	$2$	R		$1$	$\Q$	960.10981.2a	$\GL(2,3):D_{10}$	$S_3$	$6$	6.a1.a1	$160$	6.a1.a1	$160$	$6$	$1$
960.10981.2b	$2$	R		$1$	$\Q$	960.10981.2b	$\GL(2,3):D_{10}$	$D_6$	$12$	12.b1.b1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2c	$2$	R		$1$	$\Q$	960.10981.2c	$\GL(2,3):D_{10}$	$D_6$	$12$	12.b1.a1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2d	$2$	R		$1$	$\Q$	960.10981.2d	$\GL(2,3):D_{10}$	$D_6$	$12$	12.a1.a1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2e1	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2e	$\GL(2,3):D_{10}$	$D_5$	$10$	10.a1.a1	$96$	10.a1.a1	$96$	$10$	$1$
960.10981.2e2	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2e	$\GL(2,3):D_{10}$	$D_5$	$10$	10.a1.a1	$96$	10.a1.a1	$96$	$10$	$1$
960.10981.2f1	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2f	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.b1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2f2	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2f	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.b1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2g1	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2g	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2g2	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2g	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2h1	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2h	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.a1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2h2	$2$	R		$5$	$\Q(\sqrt{5}) $	960.10981.2h	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.a1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.3a	$3$	R		$1$	$\Q$	960.10981.3a	$\GL(2,3):D_{10}$	$S_4$	$24$	24.a1.a1	$40$	24.a1.a1	$40$	$24$	$1$
960.10981.3b	$3$	R		$1$	$\Q$	960.10981.3b	$\GL(2,3):D_{10}$	$S_4$	$24$	24.a1.a1	$40$	24.a1.a1	$40$	$24$	$1$
960.10981.3c	$3$	R		$1$	$\Q$	960.10981.3c	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.b1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3d	$3$	R		$1$	$\Q$	960.10981.3d	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.b1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3e	$3$	R		$1$	$\Q$	960.10981.3e	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.b1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3f	$3$	R		$1$	$\Q$	960.10981.3f	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.b1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3g	$3$	R		$1$	$\Q$	960.10981.3g	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3h	$3$	R		$1$	$\Q$	960.10981.3h	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.4a1	$4$	R		$5$	$\Q(\sqrt{5}) $	960.10981.4a	$\GL(2,3):D_{10}$	$S_3\times D_5$	$60$	60.a1.a1	$16$	60.a1.a1	$16$	$60$	$1$
960.10981.4a2	$4$	R		$5$	$\Q(\sqrt{5}) $	960.10981.4a	$\GL(2,3):D_{10}$	$S_3\times D_5$	$60$	60.a1.a1	$16$	60.a1.a1	$16$	$60$	$1$
960.10981.4b1	$4$	R		$5$	$\Q(\sqrt{5}) $	960.10981.4b	$\GL(2,3):D_{10}$	$S_3\times D_{10}$	$120$	120.a1.a1	$8$	60.a1.a1	$16$	$60$	$1$
960.10981.4b2	$4$	R		$5$	$\Q(\sqrt{5}) $	960.10981.4b	$\GL(2,3):D_{10}$	$S_3\times D_{10}$	$120$	120.a1.a1	$8$	60.a1.a1	$16$	$60$	$1$
960.10981.4c1	$4$	C		$8$	$\Q(\sqrt{-2}) $	960.10981.4c	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.4c2	$4$	C		$8$	$\Q(\sqrt{-2}) $	960.10981.4c	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.6a1	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6a	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6a2	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6a	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6b1	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6b	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6b2	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6b	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6c1	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6c	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6c2	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6c	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6d1	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6d	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6d2	$6$	R		$5$	$\Q(\sqrt{5}) $	960.10981.6d	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.8a	$8$	R		$1$	$\Q$	960.10981.8a	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.8b1	$8$	S	✓	$5$	$\Q(\sqrt{5}) $	960.10981.8b	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$2$
960.10981.8b2	$8$	S	✓	$5$	$\Q(\sqrt{5}) $	960.10981.8b	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$2$
960.10981.8c1	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c2	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c3	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c4	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$

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Elliptic curves over $\Q$
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Results (49 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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
960.10981.1a	$1$	R		$1$	\(\Q\)	960.10981.1a	$\GL(2,3):D_{10}$	$C_1$	$1$	1.a1.a1	$960$	1.a1.a1	$960$	$1$	$1$
960.10981.1b	$1$	R		$1$	\(\Q\)	960.10981.1b	$\GL(2,3):D_{10}$	$C_2$	$2$	2.e1.b1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1c	$1$	R		$1$	\(\Q\)	960.10981.1c	$\GL(2,3):D_{10}$	$C_2$	$2$	2.d1.b1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1d	$1$	R		$1$	\(\Q\)	960.10981.1d	$\GL(2,3):D_{10}$	$C_2$	$2$	2.d1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1e	$1$	R		$1$	\(\Q\)	960.10981.1e	$\GL(2,3):D_{10}$	$C_2$	$2$	2.e1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1f	$1$	R		$1$	\(\Q\)	960.10981.1f	$\GL(2,3):D_{10}$	$C_2$	$2$	2.c1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1g	$1$	R		$1$	\(\Q\)	960.10981.1g	$\GL(2,3):D_{10}$	$C_2$	$2$	2.b1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.1h	$1$	R		$1$	\(\Q\)	960.10981.1h	$\GL(2,3):D_{10}$	$C_2$	$2$	2.a1.a1	$480$	1.a1.a1	$960$	$1$	$1$
960.10981.2a	$2$	R		$1$	\(\Q\)	960.10981.2a	$\GL(2,3):D_{10}$	$S_3$	$6$	6.a1.a1	$160$	6.a1.a1	$160$	$6$	$1$
960.10981.2b	$2$	R		$1$	\(\Q\)	960.10981.2b	$\GL(2,3):D_{10}$	$D_6$	$12$	12.b1.b1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2c	$2$	R		$1$	\(\Q\)	960.10981.2c	$\GL(2,3):D_{10}$	$D_6$	$12$	12.b1.a1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2d	$2$	R		$1$	\(\Q\)	960.10981.2d	$\GL(2,3):D_{10}$	$D_6$	$12$	12.a1.a1	$80$	6.a1.a1	$160$	$6$	$1$
960.10981.2e1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2e	$\GL(2,3):D_{10}$	$D_5$	$10$	10.a1.a1	$96$	10.a1.a1	$96$	$10$	$1$
960.10981.2e2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2e	$\GL(2,3):D_{10}$	$D_5$	$10$	10.a1.a1	$96$	10.a1.a1	$96$	$10$	$1$
960.10981.2f1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2f	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.b1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2f2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2f	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.b1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2g1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2g	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2g2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2g	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.b1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2h1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2h	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.a1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.2h2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.2h	$\GL(2,3):D_{10}$	$D_{10}$	$20$	20.a1.a1	$48$	10.a1.a1	$96$	$10$	$1$
960.10981.3a	$3$	R		$1$	\(\Q\)	960.10981.3a	$\GL(2,3):D_{10}$	$S_4$	$24$	24.a1.a1	$40$	24.a1.a1	$40$	$24$	$1$
960.10981.3b	$3$	R		$1$	\(\Q\)	960.10981.3b	$\GL(2,3):D_{10}$	$S_4$	$24$	24.a1.a1	$40$	24.a1.a1	$40$	$24$	$1$
960.10981.3c	$3$	R		$1$	\(\Q\)	960.10981.3c	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.b1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3d	$3$	R		$1$	\(\Q\)	960.10981.3d	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.b1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3e	$3$	R		$1$	\(\Q\)	960.10981.3e	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.b1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3f	$3$	R		$1$	\(\Q\)	960.10981.3f	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.b1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3g	$3$	R		$1$	\(\Q\)	960.10981.3g	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.3h	$3$	R		$1$	\(\Q\)	960.10981.3h	$\GL(2,3):D_{10}$	$C_2\times S_4$	$48$	48.a1.a1	$20$	24.a1.a1	$40$	$24$	$1$
960.10981.4a1	$4$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.4a	$\GL(2,3):D_{10}$	$S_3\times D_5$	$60$	60.a1.a1	$16$	60.a1.a1	$16$	$60$	$1$
960.10981.4a2	$4$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.4a	$\GL(2,3):D_{10}$	$S_3\times D_5$	$60$	60.a1.a1	$16$	60.a1.a1	$16$	$60$	$1$
960.10981.4b1	$4$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.4b	$\GL(2,3):D_{10}$	$S_3\times D_{10}$	$120$	120.a1.a1	$8$	60.a1.a1	$16$	$60$	$1$
960.10981.4b2	$4$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.4b	$\GL(2,3):D_{10}$	$S_3\times D_{10}$	$120$	120.a1.a1	$8$	60.a1.a1	$16$	$60$	$1$
960.10981.4c1	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	960.10981.4c	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.4c2	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	960.10981.4c	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.6a1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6a	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6a2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6a	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6b1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6b	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6b2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6b	$\GL(2,3):D_{10}$	$D_5\times S_4$	$240$	240.a1.a1	$4$	240.a1.a1	$4$	$240$	$1$
960.10981.6c1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6c	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6c2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6c	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6d1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6d	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.6d2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	960.10981.6d	$\GL(2,3):D_{10}$	$D_{10}\times S_4$	$480$	480.a1.a1	$2$	240.a1.a1	$4$	$240$	$1$
960.10981.8a	$8$	R		$1$	\(\Q\)	960.10981.8a	$\GL(2,3):D_{10}$	$\GL(2,3):C_2^2$	$192$	192.a1.a1	$5$	96.a1.a1	$10$	$96$	$1$
960.10981.8b1	$8$	S	✓	$5$	\(\Q(\sqrt{5}) \)	960.10981.8b	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$2$
960.10981.8b2	$8$	S	✓	$5$	\(\Q(\sqrt{5}) \)	960.10981.8b	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$2$
960.10981.8c1	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c2	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c3	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$
960.10981.8c4	$8$	C	✓	$60$	4.0.18000.1	960.10981.8c	$\GL(2,3):D_{10}$	$\GL(2,3):D_{10}$	$960$	960.a1.a1	$1$	480.a1.a1	$2$	$480$	$1$