Rational character table for $C_3^4:C_{24}:D_6$

		1A	2A	2B	2C	2D	2E	3A	3B	3C	3D	3E	3F	3G	3H	4A	4B	4C	4D	6A	6B	6C	6D	6E	6F	6G	6H	6I	6J	6K	6L	6M	8A	8B	12A	12B	12C	12D	12E	24A	24B	24C
	Size	1	81	81	81	108	108	8	18	18	36	72	144	144	288	162	972	972	1458	162	162	216	216	324	648	648	648	648	648	648	1296	1296	324	2916	324	324	648	1944	1944	648	648	1296
	2 P	1A	1A	1A	1A	1A	1A	3A	3B	3C	3D	3E	3F	3G	3H	2A	2A	2A	2A	3B	3C	3A	3A	3D	3B	3E	3E	3A	3E	3C	3F	3G	4A	4A	6B	6A	6E	6A	6B	12A	12B	12C
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	1A	1A	1A	4A	4B	4C	4D	2A	2A	2D	2E	2A	2E	2B	2E	2C	2D	2D	2D	2E	8A	8B	4A	4A	4A	4B	4C	8A	8A	8A
23328.jz.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
23328.jz.1b		$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$
23328.jz.1c		$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$
23328.jz.1d		$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$
23328.jz.1e		$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
23328.jz.1f		$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$
23328.jz.1g		$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
23328.jz.1h		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$
23328.jz.2a		$2$	$2$	$0$	$0$	$0$	$2$	$2$	$-1$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$2$	$2$	$0$	$0$	$-1$	$2$	$0$	$2$	$-1$	$-1$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$0$	$2$	$-1$	$-1$	$-1$	$0$	$2$	$-1$	$-1$
23328.jz.2b		$2$	$2$	$0$	$0$	$2$	$0$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$0$	$2$	$0$	$2$	$-1$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$0$	$2$	$0$	$-1$	$2$	$-1$	$0$	$-1$	$-1$	$2$	$-1$
23328.jz.2c		$2$	$2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$0$	$0$	$2$	$2$	$2$	$0$	$0$	$2$	$0$	$-2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$
23328.jz.2d		$2$	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$0$	$0$	$-2$	$2$	$2$	$0$	$0$	$2$	$0$	$2$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$
23328.jz.2e		$2$	$2$	$0$	$0$	$-2$	$0$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$0$	$-2$	$0$	$2$	$-1$	$-2$	$0$	$-1$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$0$	$2$	$0$	$-1$	$2$	$-1$	$0$	$1$	$-1$	$2$	$-1$
23328.jz.2f		$2$	$2$	$0$	$0$	$-2$	$0$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$0$	$2$	$0$	$2$	$-1$	$-2$	$0$	$-1$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$0$	$-2$	$0$	$-1$	$2$	$-1$	$0$	$-1$	$1$	$-2$	$1$
23328.jz.2g		$2$	$2$	$0$	$0$	$0$	$-2$	$2$	$-1$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$2$	$-2$	$0$	$0$	$-1$	$2$	$0$	$-2$	$-1$	$1$	$0$	$-2$	$0$	$0$	$0$	$0$	$1$	$2$	$0$	$2$	$-1$	$-1$	$1$	$0$	$2$	$-1$	$-1$
23328.jz.2h		$2$	$2$	$0$	$0$	$0$	$-2$	$2$	$-1$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$2$	$2$	$0$	$0$	$-1$	$2$	$0$	$-2$	$-1$	$1$	$0$	$-2$	$0$	$0$	$0$	$0$	$1$	$-2$	$0$	$2$	$-1$	$-1$	$-1$	$0$	$-2$	$1$	$1$
23328.jz.2i		$2$	$2$	$0$	$0$	$0$	$2$	$2$	$-1$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$2$	$-2$	$0$	$0$	$-1$	$2$	$0$	$2$	$-1$	$-1$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$-2$	$0$	$2$	$-1$	$-1$	$1$	$0$	$-2$	$1$	$1$
23328.jz.2j		$2$	$2$	$0$	$0$	$2$	$0$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$2$	$-1$	$2$	$0$	$-2$	$0$	$2$	$-1$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$0$	$-2$	$0$	$-1$	$2$	$-1$	$0$	$1$	$1$	$-2$	$1$
23328.jz.2k		$4$	$-4$	$-4$	$4$	$0$	$0$	$4$	$4$	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$-4$	$-4$	$0$	$0$	$-4$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.2l		$4$	$-4$	$4$	$-4$	$0$	$0$	$4$	$4$	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$-4$	$-4$	$0$	$0$	$-4$	$0$	$4$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.4a		$4$	$4$	$0$	$0$	$0$	$0$	$4$	$-2$	$-2$	$1$	$4$	$-2$	$-2$	$1$	$4$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$-2$	$-2$	$1$	$0$	$0$	$-2$	$-2$	$1$
23328.jz.4b		$4$	$4$	$0$	$0$	$0$	$0$	$4$	$-2$	$4$	$-2$	$4$	$4$	$-2$	$-2$	$-4$	$0$	$0$	$0$	$-2$	$4$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$2$	$2$	$0$	$0$	$0$	$0$	$0$
23328.jz.4c		$4$	$4$	$0$	$0$	$0$	$0$	$4$	$4$	$-2$	$-2$	$4$	$-2$	$4$	$-2$	$-4$	$0$	$0$	$0$	$4$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-4$	$2$	$0$	$0$	$0$	$0$	$0$
23328.jz.4d		$4$	$4$	$0$	$0$	$0$	$0$	$4$	$-2$	$-2$	$1$	$4$	$-2$	$-2$	$1$	$4$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$-2$	$-2$	$1$	$0$	$0$	$2$	$2$	$-1$
23328.jz.4e		$8$	$-8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-4$	$8$	$8$	$-4$	$-4$	$0$	$0$	$0$	$0$	$4$	$-8$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.4f		$8$	$-8$	$0$	$0$	$0$	$0$	$8$	$8$	$-4$	$-4$	$8$	$-4$	$8$	$-4$	$0$	$0$	$0$	$0$	$-8$	$4$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.4g		$8$	$8$	$0$	$0$	$0$	$0$	$8$	$-4$	$-4$	$2$	$8$	$-4$	$-4$	$2$	$-8$	$0$	$0$	$0$	$-4$	$-4$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$4$	$-2$	$0$	$0$	$0$	$0$	$0$
23328.jz.4h		$16$	$-16$	$0$	$0$	$0$	$0$	$16$	$-8$	$-8$	$4$	$16$	$-8$	$-8$	$4$	$0$	$0$	$0$	$0$	$8$	$8$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.8a		$8$	$0$	$8$	$0$	$2$	$2$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$2$	$-1$	$-1$	$0$	$-1$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.8b		$8$	$0$	$8$	$0$	$-2$	$-2$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$-2$	$-1$	$1$	$0$	$1$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.8c		$8$	$0$	$-8$	$0$	$-2$	$2$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$2$	$1$	$-1$	$0$	$1$	$-2$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.8d		$8$	$0$	$-8$	$0$	$2$	$-2$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$-2$	$1$	$1$	$0$	$-1$	$2$	$-1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.16a		$16$	$0$	$0$	$0$	$0$	$4$	$16$	$-8$	$16$	$-8$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$-2$	$0$	$-2$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.16b		$16$	$0$	$0$	$0$	$4$	$0$	$16$	$16$	$-8$	$-8$	$-2$	$1$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.16c		$16$	$0$	$0$	$0$	$-4$	$0$	$16$	$16$	$-8$	$-8$	$-2$	$1$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.16d		$16$	$0$	$0$	$0$	$0$	$-4$	$16$	$-8$	$16$	$-8$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$2$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.32a		$32$	$0$	$0$	$0$	$0$	$0$	$32$	$-16$	$-16$	$8$	$-4$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.72a		$72$	$0$	$0$	$8$	$6$	$6$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3$	$-3$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.72b		$72$	$0$	$0$	$-8$	$-6$	$6$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.72c		$72$	$0$	$0$	$-8$	$6$	$-6$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
23328.jz.72d		$72$	$0$	$0$	$8$	$-6$	$-6$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3$	$3$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$