Character table for $C_3^3:(S_3\times S_4)$

		1A	2A	2B	2C	2D	2E	3A	3B	3C	3D	3E	3F	3G	3H	3I	4A	4B	6A	6B	6C	6D	6E	6F	6G	6H	6I	6J	6K	6L	9A	9B1	9B-1	12A	12B	12C1	12C-1
	Size	1	27	27	54	54	81	2	6	8	12	12	16	24	72	144	54	486	54	54	108	108	108	108	108	108	108	216	216	648	144	144	144	108	108	108	108
	2 P	1A	1A	1A	1A	1A	1A	3A	3B	3C	3D	3E	3F	3G	3H	3I	2A	2A	3B	3A	3A	3B	3D	3E	3D	3D	3B	3C	3G	3H	9A	9B-1	9B1	6A	6B	6F	6F
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	1A	1A	1A	1A	4A	4B	2A	2A	2D	2C	2D	2A	2C	2B	2B	2C	2D	2E	3C	3C	3C	4A	4A	4A	4A
	Type
3888.by.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
3888.by.1b	R	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
3888.by.1c	R	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
3888.by.1d	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
3888.by.2a	R	$2$	$2$	$0$	$0$	$2$	$0$	$-1$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$2$	$-1$	$2$	$0$	$2$	$-1$	$-1$	$0$	$2$	$-1$	$0$	$0$	$0$	$0$	$-1$	$0$	$2$	$-1$	$-1$	$-1$	$2$	$-1$	$-1$
3888.by.2b	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$2$	$2$	$0$	$2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
3888.by.2c	R	$2$	$2$	$-2$	$0$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$2$	$-2$	$0$	$-2$	$0$	$0$	$1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
3888.by.2d	R	$2$	$2$	$0$	$0$	$-2$	$0$	$-1$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$2$	$-1$	$-2$	$0$	$2$	$-1$	$1$	$0$	$-2$	$-1$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$-1$	$-1$	$1$	$-2$	$1$	$1$
3888.by.3a	R	$3$	$-1$	$-1$	$1$	$1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
3888.by.3b	R	$3$	$-1$	$-1$	$-1$	$-1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$
3888.by.3c	R	$3$	$-1$	$1$	$-1$	$1$	$-3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
3888.by.3d	R	$3$	$-1$	$1$	$1$	$-1$	$-3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$
3888.by.4a	R	$4$	$4$	$0$	$0$	$0$	$0$	$-2$	$4$	$4$	$4$	$-2$	$-2$	$-2$	$-2$	$1$	$0$	$0$	$4$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$
3888.by.6a	R	$6$	$2$	$4$	$2$	$0$	$0$	$6$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$2$	$0$	$-1$	$2$	$0$	$-1$	$0$	$-1$	$1$	$2$	$-2$	$-1$	$0$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$-1$
3888.by.6b	R	$6$	$-2$	$0$	$0$	$2$	$0$	$-3$	$6$	$6$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$-2$	$0$	$-2$	$1$	$-1$	$0$	$2$	$1$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$1$	$-2$	$1$	$1$
3888.by.6c	R	$6$	$-2$	$0$	$0$	$-2$	$0$	$-3$	$6$	$6$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$2$	$0$	$-2$	$1$	$1$	$0$	$-2$	$1$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$-1$	$2$	$-1$	$-1$
3888.by.6d	R	$6$	$2$	$-4$	$-2$	$0$	$0$	$6$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$2$	$0$	$-1$	$2$	$0$	$1$	$0$	$-1$	$-1$	$-2$	$2$	$1$	$0$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$-1$
3888.by.6e	R	$6$	$2$	$-4$	$2$	$0$	$0$	$6$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$-2$	$0$	$-1$	$2$	$0$	$-1$	$0$	$-1$	$-1$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$1$
3888.by.6f	R	$6$	$2$	$4$	$-2$	$0$	$0$	$6$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$-2$	$0$	$-1$	$2$	$0$	$1$	$0$	$-1$	$1$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$1$
3888.by.8a	R	$8$	$0$	$0$	$4$	$0$	$0$	$8$	$-4$	$-1$	$2$	$-4$	$-1$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
3888.by.8b	R	$8$	$0$	$0$	$-4$	$0$	$0$	$8$	$-4$	$-1$	$2$	$-4$	$-1$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$2$	$0$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
3888.by.12a	R	$12$	$0$	$4$	$2$	$2$	$0$	$12$	$0$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$0$	$-2$	$-1$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.12b	R	$12$	$4$	$0$	$0$	$0$	$0$	$-6$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$4$	$0$	$-2$	$-2$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$
3888.by.12c	R	$12$	$-4$	$0$	$0$	$0$	$0$	$12$	$6$	$-6$	$0$	$6$	$-6$	$0$	$0$	$0$	$0$	$0$	$2$	$-4$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.12d	R	$12$	$0$	$-4$	$2$	$-2$	$0$	$12$	$0$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$1$	$0$	$2$	$-1$	$-1$	$-1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.12e	R	$12$	$0$	$4$	$-2$	$-2$	$0$	$12$	$0$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$0$	$-2$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.12f	R	$12$	$0$	$-4$	$-2$	$2$	$0$	$12$	$0$	$3$	$-3$	$0$	$3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-1$	$0$	$2$	$1$	$-1$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.12g	R	$12$	$4$	$0$	$0$	$0$	$0$	$-6$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$-4$	$0$	$-2$	$-2$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$
3888.by.12h1	C	$12$	$-4$	$0$	$0$	$0$	$0$	$-6$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3i$	$3i$
3888.by.12h2	C	$12$	$-4$	$0$	$0$	$0$	$0$	$-6$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3i$	$-3i$
3888.by.16a	R	$16$	$0$	$0$	$0$	$0$	$0$	$16$	$-8$	$-2$	$4$	$-8$	$-2$	$4$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$0$	$0$	$0$	$0$
3888.by.16b	R	$16$	$0$	$0$	$0$	$0$	$0$	$-8$	$-8$	$-2$	$4$	$4$	$1$	$-2$	$4$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$
3888.by.16c1	C	$16$	$0$	$0$	$0$	$0$	$0$	$-8$	$-8$	$-2$	$4$	$4$	$1$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$0$	$0$	$0$	$0$
3888.by.16c2	C	$16$	$0$	$0$	$0$	$0$	$0$	$-8$	$-8$	$-2$	$4$	$4$	$1$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$0$	$0$	$0$	$0$
3888.by.24a	R	$24$	$0$	$0$	$0$	$4$	$0$	$-12$	$0$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.by.24b	R	$24$	$0$	$0$	$0$	$-4$	$0$	$-12$	$0$	$6$	$-6$	$0$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$