Rational 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	8A	8B	8C	8D	8E	10A	12A	12B	12C	24A	24B
	Size	1	81	90	1080	80	720	5760	540	1620	3240	4860	9720	31104	720	6480	8640	8640	17280	3240	12960	9720	19440	38880	31104	4320	12960	25920	25920	25920
	2 P	1A	1A	1A	1A	3A	3B	3C	2B	2A	2A	2B	2A	5A	3A	3B	3B	3A	3C	4B	4A	4B	4B	4E	5A	6A	6B	6B	12B	12A
	3 P	1A	2A	2B	2C	1A	1A	1A	4A	4B	4C	4D	4E	5A	2B	2A	2B	2C	2B	8A	8B	8C	8D	8E	10A	4A	4B	4C	8A	8B
	5 P	1A	2A	2B	2C	3A	3B	3C	4A	4B	4C	4D	4E	1A	6A	6B	6C	6D	6E	8A	8B	8C	8D	8E	2A	12A	12B	12C	24A	24B
	Schur
311040.j.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
311040.j.1b		$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
311040.j.4a		$4$	$4$	$4$	$2$	$4$	$1$	$1$	$0$	$4$	$2$	$0$	$0$	$-1$	$4$	$1$	$1$	$2$	$1$	$2$	$0$	$2$	$0$	$0$	$-1$	$0$	$1$	$-1$	$-1$	$0$
311040.j.4b		$4$	$4$	$4$	$-2$	$4$	$1$	$1$	$0$	$4$	$-2$	$0$	$0$	$-1$	$4$	$1$	$1$	$-2$	$1$	$-2$	$0$	$-2$	$0$	$0$	$-1$	$0$	$1$	$1$	$1$	$0$
311040.j.4c		$8$	$-8$	$0$	$0$	$8$	$-4$	$-4$	$4$	$0$	$0$	$-4$	$0$	$-2$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$4$	$0$	$0$	$0$	$0$
311040.j.5a		$5$	$5$	$5$	$-1$	$5$	$-1$	$-1$	$1$	$5$	$-1$	$1$	$1$	$0$	$5$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$0$	$1$	$-1$	$-1$	$-1$	$1$
311040.j.5b		$5$	$5$	$5$	$1$	$5$	$-1$	$-1$	$1$	$5$	$1$	$1$	$1$	$0$	$5$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$0$	$1$	$-1$	$1$	$1$	$-1$
311040.j.5c		$5$	$5$	$-3$	$-1$	$5$	$2$	$2$	$1$	$1$	$3$	$1$	$1$	$0$	$-3$	$2$	$0$	$-1$	$0$	$-3$	$-1$	$1$	$-1$	$1$	$0$	$1$	$-2$	$0$	$0$	$-1$
311040.j.5d		$5$	$5$	$-3$	$1$	$5$	$2$	$2$	$1$	$1$	$-3$	$1$	$1$	$0$	$-3$	$2$	$0$	$1$	$0$	$3$	$1$	$-1$	$-1$	$-1$	$0$	$1$	$-2$	$0$	$0$	$1$
311040.j.6a		$6$	$6$	$6$	$0$	$6$	$0$	$0$	$-2$	$6$	$0$	$-2$	$-2$	$1$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$1$	$-2$	$0$	$0$	$0$	$0$
311040.j.10a		$10$	$10$	$2$	$0$	$10$	$1$	$1$	$-2$	$-2$	$4$	$-2$	$2$	$0$	$2$	$1$	$-1$	$0$	$-1$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2$	$1$	$1$	$-1$	$0$
311040.j.10b		$10$	$10$	$2$	$2$	$10$	$1$	$1$	$2$	$-2$	$-2$	$2$	$-2$	$0$	$2$	$1$	$-1$	$2$	$-1$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$1$	$1$	$-1$	$0$
311040.j.10c		$10$	$10$	$2$	$0$	$10$	$1$	$1$	$-2$	$-2$	$-4$	$-2$	$2$	$0$	$2$	$1$	$-1$	$0$	$-1$	$-2$	$0$	$2$	$0$	$0$	$0$	$-2$	$1$	$-1$	$1$	$0$
311040.j.10d		$10$	$10$	$2$	$-2$	$10$	$1$	$1$	$2$	$-2$	$2$	$2$	$-2$	$0$	$2$	$1$	$-1$	$-2$	$-1$	$4$	$0$	$0$	$0$	$0$	$0$	$2$	$1$	$-1$	$1$	$0$
311040.j.10e		$10$	$10$	$-6$	$0$	$10$	$-2$	$-2$	$2$	$2$	$0$	$2$	$2$	$0$	$-6$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$
311040.j.15a		$15$	$15$	$-9$	$1$	$15$	$0$	$0$	$-1$	$3$	$-3$	$-1$	$-1$	$0$	$-9$	$0$	$0$	$1$	$0$	$3$	$-1$	$-1$	$1$	$1$	$0$	$-1$	$0$	$0$	$0$	$-1$
311040.j.15b		$15$	$15$	$-9$	$-1$	$15$	$0$	$0$	$-1$	$3$	$3$	$-1$	$-1$	$0$	$-9$	$0$	$0$	$-1$	$0$	$-3$	$1$	$1$	$1$	$-1$	$0$	$-1$	$0$	$0$	$0$	$1$
311040.j.16a		$32$	$-32$	$0$	$0$	$32$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$
311040.j.20a		$20$	$20$	$4$	$2$	$20$	$-1$	$-1$	$0$	$-4$	$2$	$0$	$0$	$0$	$4$	$-1$	$1$	$2$	$1$	$-2$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$1$	$0$
311040.j.20b		$20$	$20$	$4$	$-2$	$20$	$-1$	$-1$	$0$	$-4$	$-2$	$0$	$0$	$0$	$4$	$-1$	$1$	$-2$	$1$	$2$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$1$	$-1$	$0$
311040.j.20c		$40$	$-40$	$0$	$0$	$40$	$4$	$4$	$4$	$0$	$0$	$-4$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$
311040.j.24a	2	$24$	$-24$	$0$	$0$	$24$	$0$	$0$	$-4$	$0$	$0$	$4$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-4$	$0$	$0$	$0$	$0$
311040.j.80a		$80$	$0$	$8$	$8$	$-1$	$8$	$-1$	$8$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$2$	$-1$	$-1$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$-1$
311040.j.80b		$80$	$0$	$8$	$-8$	$-1$	$8$	$-1$	$8$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$2$	$1$	$-1$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$1$
311040.j.160a		$160$	$0$	$16$	$0$	$-2$	$-8$	$1$	$16$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$
311040.j.160b		$320$	$0$	$-32$	$0$	$-4$	$-16$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$4$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
311040.j.240a		$240$	$0$	$24$	$8$	$-3$	$0$	$0$	$-8$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$-1$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$1$
311040.j.240b		$240$	$0$	$24$	$-8$	$-3$	$0$	$0$	$-8$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$1$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$-1$
311040.j.320a		$320$	$0$	$-32$	$0$	$-4$	$8$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$