Rational character table for $C_3^2:C_4\times A_6$

		1A	2A	2B	2C	3A	3B	3C	3D	3E	3F	3G	3H	4A	4B	4C	4D	4E	5A	6A	6B	6C	6D	10A	12A	12B	12C	12D	15A	15B	20A
	Size	1	9	45	405	4	4	40	40	160	160	160	160	18	90	810	810	1620	144	180	180	360	360	1296	360	360	720	720	576	576	2592
	2 P	1A	1A	1A	1A	3A	3B	3C	3D	3E	3F	3G	3H	2A	2B	2A	2B	2C	5A	3A	3B	3C	3D	5A	6A	6B	6C	6D	15A	15B	10A
	3 P	1A	2A	2B	2C	1A	1A	1A	1A	1A	1A	1A	1A	4A	4B	4C	4D	4E	5A	2B	2B	2A	2A	10A	4B	4B	4A	4A	5A	5A	20A
	5 P	1A	2A	2B	2C	3A	3B	3C	3D	3E	3F	3G	3H	4A	4B	4C	4D	4E	1A	6A	6B	6C	6D	2A	12A	12B	12C	12D	3A	3B	4A
12960.bb.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
12960.bb.1b		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$
12960.bb.1c		$2$	$-2$	$2$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$2$	$0$	$-2$	$0$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$2$	$2$	$0$
12960.bb.4a		$4$	$0$	$4$	$0$	$-2$	$1$	$4$	$4$	$1$	$-2$	$-2$	$1$	$0$	$4$	$0$	$0$	$0$	$4$	$-2$	$1$	$0$	$0$	$0$	$-2$	$1$	$0$	$0$	$-2$	$1$	$0$
12960.bb.4b		$4$	$0$	$4$	$0$	$1$	$-2$	$4$	$4$	$-2$	$1$	$1$	$-2$	$0$	$4$	$0$	$0$	$0$	$4$	$1$	$-2$	$0$	$0$	$0$	$1$	$-2$	$0$	$0$	$1$	$-2$	$0$
12960.bb.5a		$5$	$5$	$1$	$1$	$5$	$5$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$5$	$-1$	$1$	$-1$	$-1$	$0$	$1$	$1$	$-1$	$2$	$0$	$-1$	$-1$	$-1$	$2$	$0$	$0$	$0$
12960.bb.5b		$5$	$5$	$1$	$1$	$5$	$5$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$5$	$-1$	$1$	$-1$	$-1$	$0$	$1$	$1$	$2$	$-1$	$0$	$-1$	$-1$	$2$	$-1$	$0$	$0$	$0$
12960.bb.5c		$5$	$5$	$1$	$1$	$5$	$5$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$-5$	$-1$	$-1$	$-1$	$1$	$0$	$1$	$1$	$-1$	$2$	$0$	$-1$	$-1$	$1$	$-2$	$0$	$0$	$0$
12960.bb.5d		$5$	$5$	$1$	$1$	$5$	$5$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$-5$	$-1$	$-1$	$-1$	$1$	$0$	$1$	$1$	$2$	$-1$	$0$	$-1$	$-1$	$-2$	$1$	$0$	$0$	$0$
12960.bb.5e		$10$	$-10$	$2$	$-2$	$10$	$10$	$-2$	$4$	$-2$	$4$	$-2$	$4$	$0$	$-2$	$0$	$2$	$0$	$0$	$2$	$2$	$2$	$-4$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$
12960.bb.5f		$10$	$-10$	$2$	$-2$	$10$	$10$	$4$	$-2$	$4$	$-2$	$4$	$-2$	$0$	$-2$	$0$	$2$	$0$	$0$	$2$	$2$	$-4$	$2$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$
12960.bb.8a		$16$	$16$	$0$	$0$	$16$	$16$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$16$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-2$	$-2$	$1$	$0$	$0$	$-2$	$-2$	$1$	$1$	$1$
12960.bb.8b		$16$	$16$	$0$	$0$	$16$	$16$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$-16$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-2$	$-2$	$1$	$0$	$0$	$2$	$2$	$1$	$1$	$-1$
12960.bb.8c		$32$	$-32$	$0$	$0$	$32$	$32$	$-4$	$-4$	$-4$	$-4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$4$	$4$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$
12960.bb.9a		$9$	$9$	$1$	$1$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$9$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$0$	$0$	$-1$	$1$	$1$	$0$	$0$	$-1$	$-1$	$-1$
12960.bb.9b		$9$	$9$	$1$	$1$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$-9$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$0$	$0$	$-1$	$1$	$1$	$0$	$0$	$-1$	$-1$	$1$
12960.bb.9c		$18$	$-18$	$2$	$-2$	$18$	$18$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$-2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$
12960.bb.10a		$10$	$10$	$-2$	$-2$	$10$	$10$	$1$	$1$	$1$	$1$	$1$	$1$	$10$	$0$	$-2$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$0$
12960.bb.10b		$10$	$10$	$-2$	$-2$	$10$	$10$	$1$	$1$	$1$	$1$	$1$	$1$	$-10$	$0$	$2$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$
12960.bb.10c		$20$	$-20$	$-4$	$4$	$20$	$20$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$-4$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
12960.bb.20a		$20$	$0$	$4$	$0$	$-10$	$5$	$-4$	$8$	$-1$	$-4$	$2$	$2$	$0$	$-4$	$0$	$0$	$0$	$0$	$-2$	$1$	$0$	$0$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$
12960.bb.20b		$20$	$0$	$4$	$0$	$-10$	$5$	$8$	$-4$	$2$	$2$	$-4$	$-1$	$0$	$-4$	$0$	$0$	$0$	$0$	$-2$	$1$	$0$	$0$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$
12960.bb.20c		$20$	$0$	$4$	$0$	$5$	$-10$	$-4$	$8$	$2$	$2$	$-1$	$-4$	$0$	$-4$	$0$	$0$	$0$	$0$	$1$	$-2$	$0$	$0$	$0$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$
12960.bb.20d		$20$	$0$	$4$	$0$	$5$	$-10$	$8$	$-4$	$-4$	$-1$	$2$	$2$	$0$	$-4$	$0$	$0$	$0$	$0$	$1$	$-2$	$0$	$0$	$0$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$
12960.bb.32a		$64$	$0$	$0$	$0$	$-32$	$16$	$-8$	$-8$	$-2$	$4$	$4$	$-2$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$0$
12960.bb.32b		$64$	$0$	$0$	$0$	$16$	$-32$	$-8$	$-8$	$4$	$-2$	$-2$	$4$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$	$0$
12960.bb.36a		$36$	$0$	$4$	$0$	$-18$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$-4$	$-2$	$1$	$0$	$0$	$0$	$-2$	$1$	$0$	$0$	$2$	$-1$	$0$
12960.bb.36b		$36$	$0$	$4$	$0$	$9$	$-18$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$-4$	$1$	$-2$	$0$	$0$	$0$	$1$	$-2$	$0$	$0$	$-1$	$2$	$0$
12960.bb.40a		$40$	$0$	$-8$	$0$	$-20$	$10$	$4$	$4$	$1$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
12960.bb.40b		$40$	$0$	$-8$	$0$	$10$	$-20$	$4$	$4$	$-2$	$1$	$1$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$