Rational character table for $C_3^5:(C_2\times S_4)$

The row representing the character 11664.bf.8d is highlighted below.

		1A	2A	2B	2C	2D	2E	3A	3B	3C	3D	3E	3F	3G	3H	3I	3J	3K	3L	3M	3N	3O	4A	4B	6A	6B	6C	6D	6E	6F	6G	6H	6I	6J	6K	6L	6M	6N	6O	6P	6Q	6R	9A	9B	9C	9D	12A	12B	12C	12D	12E	12F	18A	18B
	Size	1	9	27	162	162	243	2	6	6	8	12	12	12	16	24	24	24	48	48	216	432	162	162	54	54	54	54	72	108	108	108	108	216	324	324	324	324	486	648	648	648	216	216	432	432	324	324	324	324	648	648	648	648
	2 P	1A	1A	1A	1A	1A	1A	3A	3B	3C	3D	3E	3F	3G	3H	3I	3J	3K	3L	3M	3N	3O	2B	2B	3B	3B	3A	3C	3D	3C	3E	3F	3G	3K	3C	3E	3E	3A	3B	3N	3I	3J	9A	9B	9C	9D	6B	6B	6C	6D	6H	6I	9A	9B
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	4A	4B	2A	2B	2B	2B	2A	2B	2A	2B	2B	2B	2C	2D	2C	2D	2E	2A	2C	2D	3D	3D	3D	3D	4A	4B	4A	4B	4B	4A	6E	6E
11664.bf.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
11664.bf.1b		$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$
11664.bf.1c		$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$
11664.bf.1d		$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
11664.bf.2a		$2$	$0$	$2$	$2$	$0$	$0$	$2$	$2$	$-1$	$2$	$2$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$2$	$-1$	$0$	$2$	$2$	$0$	$2$	$-1$	$0$	$2$	$-1$	$0$	$-1$	$-1$	$-1$	$0$	$2$	$0$	$0$	$0$	$-1$	$0$	$2$	$2$	$-1$	$-1$	$0$	$2$	$0$	$-1$	$-1$	$0$	$0$	$0$
11664.bf.2b		$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$
11664.bf.2c		$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$-2$	$2$	$2$	$-2$	$2$	$2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
11664.bf.2d		$2$	$0$	$2$	$-2$	$0$	$0$	$2$	$2$	$-1$	$2$	$2$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$2$	$-1$	$0$	$-2$	$2$	$0$	$2$	$-1$	$0$	$2$	$-1$	$0$	$-1$	$-1$	$1$	$0$	$-2$	$0$	$0$	$0$	$1$	$0$	$2$	$2$	$-1$	$-1$	$0$	$-2$	$0$	$1$	$1$	$0$	$0$	$0$
11664.bf.3a		$3$	$3$	$-1$	$1$	$1$	$-1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$-1$	$-1$	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$0$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$
11664.bf.3b		$3$	$3$	$-1$	$-1$	$-1$	$-1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$1$	$-1$	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$0$	$0$
11664.bf.3c		$3$	$-3$	$-1$	$-1$	$1$	$1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$1$	$-1$	$-3$	$-1$	$-1$	$-3$	$-1$	$-1$	$-3$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$0$	$-1$	$1$	$0$	$0$	$0$	$0$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$0$	$0$
11664.bf.3d		$3$	$-3$	$-1$	$1$	$-1$	$1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$-1$	$-1$	$-3$	$-1$	$-1$	$-3$	$-1$	$-1$	$-3$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$0$	$0$
11664.bf.4a		$4$	$0$	$4$	$0$	$0$	$0$	$4$	$4$	$-2$	$4$	$4$	$4$	$-2$	$4$	$-2$	$4$	$-2$	$-2$	$-2$	$-2$	$1$	$0$	$0$	$4$	$0$	$4$	$-2$	$0$	$4$	$-2$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
11664.bf.6a		$6$	$0$	$6$	$0$	$2$	$0$	$-3$	$6$	$0$	$6$	$-3$	$6$	$0$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-3$	$0$	$6$	$0$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-1$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$0$	$-1$	$0$	$0$	$-1$	$0$	$0$
11664.bf.6b		$6$	$6$	$2$	$0$	$0$	$2$	$6$	$3$	$6$	$-3$	$3$	$0$	$3$	$-3$	$0$	$0$	$3$	$-3$	$0$	$0$	$0$	$2$	$2$	$2$	$3$	$-1$	$2$	$-3$	$-1$	$-1$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$2$	$-1$	$2$	$0$	$0$
11664.bf.6c		$6$	$0$	$-2$	$2$	$0$	$0$	$6$	$6$	$-3$	$6$	$6$	$6$	$-3$	$6$	$-3$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$-2$	$-2$	$0$	$-2$	$1$	$0$	$-2$	$1$	$0$	$1$	$1$	$-1$	$0$	$2$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$1$	$0$	$0$	$0$
11664.bf.6d		$6$	$0$	$6$	$0$	$-2$	$0$	$-3$	$6$	$0$	$6$	$-3$	$6$	$0$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-3$	$0$	$6$	$0$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$0$	$1$	$0$	$0$
11664.bf.6e		$6$	$0$	$-2$	$-2$	$0$	$0$	$6$	$6$	$-3$	$6$	$6$	$6$	$-3$	$6$	$-3$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$2$	$-2$	$0$	$-2$	$1$	$0$	$-2$	$1$	$0$	$1$	$1$	$1$	$0$	$-2$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-1$	$-1$	$0$	$0$	$0$
11664.bf.6f		$6$	$0$	$-2$	$0$	$-2$	$0$	$-3$	$6$	$0$	$6$	$-3$	$6$	$0$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$1$	$0$	$-2$	$4$	$0$	$1$	$4$	$0$	$-2$	$-2$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$2$	$0$	$-1$	$0$	$0$	$-1$	$0$	$0$
11664.bf.6g		$6$	$0$	$-2$	$0$	$2$	$0$	$-3$	$6$	$0$	$6$	$-3$	$6$	$0$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$-2$	$4$	$0$	$1$	$4$	$0$	$-2$	$-2$	$0$	$2$	$0$	$-1$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$0$	$1$	$0$	$0$
11664.bf.6h		$6$	$6$	$2$	$0$	$0$	$2$	$6$	$3$	$6$	$-3$	$3$	$0$	$3$	$-3$	$0$	$0$	$3$	$-3$	$0$	$0$	$0$	$-2$	$-2$	$2$	$3$	$-1$	$2$	$-3$	$-1$	$-1$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$-2$	$1$	$-2$	$0$	$0$
11664.bf.6i		$6$	$-6$	$2$	$0$	$0$	$-2$	$6$	$3$	$6$	$-3$	$3$	$0$	$3$	$-3$	$0$	$0$	$3$	$-3$	$0$	$0$	$0$	$-2$	$2$	$2$	$-3$	$-1$	$2$	$3$	$-1$	$-1$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-1$	$1$	$2$	$-1$	$-2$	$0$	$0$
11664.bf.6j		$6$	$-6$	$2$	$0$	$0$	$-2$	$6$	$3$	$6$	$-3$	$3$	$0$	$3$	$-3$	$0$	$0$	$3$	$-3$	$0$	$0$	$0$	$2$	$-2$	$2$	$-3$	$-1$	$2$	$3$	$-1$	$-1$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$-1$	$-2$	$1$	$2$	$0$	$0$
11664.bf.6k		$12$	$12$	$-4$	$0$	$0$	$-4$	$12$	$6$	$12$	$-6$	$6$	$0$	$6$	$-6$	$0$	$0$	$6$	$-6$	$0$	$0$	$0$	$0$	$0$	$-4$	$6$	$2$	$-4$	$-6$	$2$	$2$	$0$	$-4$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
11664.bf.6l		$12$	$-12$	$-4$	$0$	$0$	$4$	$12$	$6$	$12$	$-6$	$6$	$0$	$6$	$-6$	$0$	$0$	$6$	$-6$	$0$	$0$	$0$	$0$	$0$	$-4$	$-6$	$2$	$-4$	$6$	$2$	$2$	$0$	$-4$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
11664.bf.8a		$8$	$8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$-1$	$-1$	$0$	$0$	$0$	$-4$	$0$	$0$	$-1$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$-1$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$2$
11664.bf.8b		$8$	$8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$-1$	$-1$	$0$	$0$	$0$	$-4$	$0$	$0$	$-1$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$2$	$-1$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-1$
11664.bf.8c		$8$	$8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$2$	$2$	$0$	$0$	$0$	$-4$	$0$	$0$	$-1$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$
11664.bf.8d		$8$	$-8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$-1$	$-1$	$0$	$0$	$0$	$4$	$0$	$0$	$1$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-1$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$
11664.bf.8e		$8$	$-8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$-1$	$-1$	$0$	$0$	$0$	$4$	$0$	$0$	$1$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$2$	$-1$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$
11664.bf.8f		$8$	$-8$	$0$	$0$	$0$	$0$	$8$	$-4$	$8$	$-1$	$-4$	$2$	$-4$	$-1$	$2$	$2$	$-4$	$-1$	$2$	$2$	$2$	$0$	$0$	$0$	$4$	$0$	$0$	$1$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
11664.bf.12a		$12$	$12$	$0$	$2$	$2$	$0$	$12$	$0$	$12$	$3$	$0$	$-3$	$0$	$3$	$-3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3$	$0$	$0$	$-3$	$0$	$0$	$2$	$-1$	$-1$	$2$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
11664.bf.12b		$12$	$0$	$4$	$0$	$0$	$0$	$12$	$6$	$-6$	$-6$	$6$	$0$	$-3$	$-6$	$0$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$4$	$4$	$0$	$-2$	$-2$	$0$	$-2$	$1$	$0$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$1$	$0$	$0$	$0$
11664.bf.12c		$12$	$0$	$4$	$0$	$0$	$0$	$-6$	$6$	$0$	$-6$	$-3$	$0$	$-6$	$3$	$6$	$0$	$3$	$0$	$-3$	$0$	$0$	$4$	$0$	$-2$	$0$	$-2$	$4$	$0$	$1$	$-2$	$0$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$0$	$-2$	$0$	$0$
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