Character table for $C_3^3:S_3.C_2^4:S_5$

		1A	2A	2B	2C	3A	3B	3C	4A	4B	4C	4D	4E	5A	6A	6B	6C	6D	6E	8A1	8A-1	8B1	8B-1	8C	8D	8E	10A	12A	12B	12C	24A1	24A-1	24B1	24B-1
	Size	1	81	90	1080	80	720	5760	540	1620	3240	4860	9720	31104	720	6480	8640	8640	17280	1620	1620	6480	6480	9720	19440	38880	31104	4320	12960	25920	12960	12960	12960	12960
	2 P	1A	1A	1A	1A	3A	3B	3C	2B	2A	2A	2B	2A	5A	3A	3B	3B	3A	3C	4B	4B	4A	4A	4B	4B	4E	5A	6A	6B	6B	12B	12B	12A	12A
	3 P	1A	2A	2B	2C	1A	1A	1A	4A	4B	4C	4D	4E	5A	2B	2A	2B	2C	2B	8A1	8A-1	8B1	8B-1	8C	8D	8E	10A	4A	4B	4C	8A1	8A-1	8B1	8B-1
	5 P	1A	2A	2B	2C	3A	3B	3C	4A	4B	4C	4D	4E	1A	6A	6B	6C	6D	6E	8A-1	8A1	8B-1	8B1	8C	8D	8E	2A	12A	12B	12C	24A-1	24A1	24B-1	24B1
	Type
311040.j.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
311040.j.1b	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$
311040.j.4a	R	$4$	$4$	$4$	$2$	$4$	$1$	$1$	$0$	$4$	$2$	$0$	$0$	$-1$	$4$	$1$	$1$	$2$	$1$	$2$	$2$	$0$	$0$	$2$	$0$	$0$	$-1$	$0$	$1$	$-1$	$-1$	$-1$	$0$	$0$
311040.j.4b	R	$4$	$4$	$4$	$-2$	$4$	$1$	$1$	$0$	$4$	$-2$	$0$	$0$	$-1$	$4$	$1$	$1$	$-2$	$1$	$-2$	$-2$	$0$	$0$	$-2$	$0$	$0$	$-1$	$0$	$1$	$1$	$1$	$1$	$0$	$0$
311040.j.4c1	C	$4$	$-4$	$0$	$0$	$4$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$0$	$-1$	$0$	$2$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$1$	$2$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
311040.j.4c2	C	$4$	$-4$	$0$	$0$	$4$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$0$	$-1$	$0$	$2$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$1$	$2$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
311040.j.5a	R	$5$	$5$	$5$	$-1$	$5$	$-1$	$-1$	$1$	$5$	$-1$	$1$	$1$	$0$	$5$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$0$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
311040.j.5b	R	$5$	$5$	$5$	$1$	$5$	$-1$	$-1$	$1$	$5$	$1$	$1$	$1$	$0$	$5$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$0$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$
311040.j.5c	R	$5$	$5$	$-3$	$-1$	$5$	$2$	$2$	$1$	$1$	$3$	$1$	$1$	$0$	$-3$	$2$	$0$	$-1$	$0$	$-3$	$-3$	$-1$	$-1$	$1$	$-1$	$1$	$0$	$1$	$-2$	$0$	$0$	$0$	$-1$	$-1$
311040.j.5d	R	$5$	$5$	$-3$	$1$	$5$	$2$	$2$	$1$	$1$	$-3$	$1$	$1$	$0$	$-3$	$2$	$0$	$1$	$0$	$3$	$3$	$1$	$1$	$-1$	$-1$	$-1$	$0$	$1$	$-2$	$0$	$0$	$0$	$1$	$1$
311040.j.6a	R	$6$	$6$	$6$	$0$	$6$	$0$	$0$	$-2$	$6$	$0$	$-2$	$-2$	$1$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
311040.j.10a	R	$10$	$10$	$2$	$0$	$10$	$1$	$1$	$-2$	$-2$	$4$	$-2$	$2$	$0$	$2$	$1$	$-1$	$0$	$-1$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$1$	$1$	$-1$	$-1$	$0$	$0$
311040.j.10b	R	$10$	$10$	$2$	$2$	$10$	$1$	$1$	$2$	$-2$	$-2$	$2$	$-2$	$0$	$2$	$1$	$-1$	$2$	$-1$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$1$	$1$	$-1$	$-1$	$0$	$0$
311040.j.10c	R	$10$	$10$	$2$	$0$	$10$	$1$	$1$	$-2$	$-2$	$-4$	$-2$	$2$	$0$	$2$	$1$	$-1$	$0$	$-1$	$-2$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$1$	$-1$	$1$	$1$	$0$	$0$
311040.j.10d	R	$10$	$10$	$2$	$-2$	$10$	$1$	$1$	$2$	$-2$	$2$	$2$	$-2$	$0$	$2$	$1$	$-1$	$-2$	$-1$	$4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$1$	$-1$	$1$	$1$	$0$	$0$
311040.j.10e	R	$10$	$10$	$-6$	$0$	$10$	$-2$	$-2$	$2$	$2$	$0$	$2$	$2$	$0$	$-6$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$
311040.j.15a	R	$15$	$15$	$-9$	$1$	$15$	$0$	$0$	$-1$	$3$	$-3$	$-1$	$-1$	$0$	$-9$	$0$	$0$	$1$	$0$	$3$	$3$	$-1$	$-1$	$-1$	$1$	$1$	$0$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$
311040.j.15b	R	$15$	$15$	$-9$	$-1$	$15$	$0$	$0$	$-1$	$3$	$3$	$-1$	$-1$	$0$	$-9$	$0$	$0$	$-1$	$0$	$-3$	$-3$	$1$	$1$	$1$	$1$	$-1$	$0$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$
311040.j.16a1	C	$16$	$-16$	$0$	$0$	$16$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$0$	$0$	$0$	$-4{\zeta }_8-4{\zeta }_8^3$	$4{\zeta }_8+4{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$
311040.j.16a2	C	$16$	$-16$	$0$	$0$	$16$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$0$	$0$	$0$	$4{\zeta }_8+4{\zeta }_8^3$	$-4{\zeta }_8-4{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$
311040.j.20a	R	$20$	$20$	$4$	$2$	$20$	$-1$	$-1$	$0$	$-4$	$2$	$0$	$0$	$0$	$4$	$-1$	$1$	$2$	$1$	$-2$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$1$	$1$	$0$	$0$
311040.j.20b	R	$20$	$20$	$4$	$-2$	$20$	$-1$	$-1$	$0$	$-4$	$-2$	$0$	$0$	$0$	$4$	$-1$	$1$	$-2$	$1$	$2$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$1$	$-1$	$-1$	$0$	$0$
311040.j.20c1	C	$20$	$-20$	$0$	$0$	$20$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
311040.j.20c2	C	$20$	$-20$	$0$	$0$	$20$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
311040.j.24a	S	$24$	$-24$	$0$	$0$	$24$	$0$	$0$	$-4$	$0$	$0$	$4$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$
311040.j.80a	R	$80$	$0$	$8$	$8$	$-1$	$8$	$-1$	$8$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$
311040.j.80b	R	$80$	$0$	$8$	$-8$	$-1$	$8$	$-1$	$8$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$2$	$1$	$-1$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$
311040.j.160a	R	$160$	$0$	$16$	$0$	$-2$	$-8$	$1$	$16$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
311040.j.160b1	C	$160$	$0$	$-16$	$0$	$-2$	$-8$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$2$	$0$	$-1$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
311040.j.160b2	C	$160$	$0$	$-16$	$0$	$-2$	$-8$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$2$	$0$	$-1$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
311040.j.240a	R	$240$	$0$	$24$	$8$	$-3$	$0$	$0$	$-8$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$-1$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$1$	$1$
311040.j.240b	R	$240$	$0$	$24$	$-8$	$-3$	$0$	$0$	$-8$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$1$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$
311040.j.320a	R	$320$	$0$	$-32$	$0$	$-4$	$8$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$