Character table for $C_3\times S_5$

		1A	2A	2B	3A1	3A-1	3B	3C1	3C-1	4A	5A	6A1	6A-1	6B1	6B-1	6C	6D1	6D-1	12A1	12A-1	15A1	15A-1
	Size	1	10	15	1	1	20	20	20	30	24	10	10	15	15	20	20	20	30	30	24	24
	2 P	1A	1A	1A	3A-1	3A1	3B	3C-1	3C1	2B	5A	3A1	3A-1	3A1	3A-1	3B	3C1	3C-1	6B1	6B-1	15A-1	15A1
	3 P	1A	2A	2B	1A	1A	1A	1A	1A	4A	5A	2A	2A	2B	2B	2A	2A	2A	4A	4A	5A	5A
	5 P	1A	2A	2B	3A-1	3A1	3B	3C-1	3C1	4A	1A	6A-1	6A1	6B-1	6B1	6C	6D-1	6D1	12A-1	12A1	3A1	3A-1
	Type
360.119.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
360.119.1b	R	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
360.119.1c1	C	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$
360.119.1c2	C	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$
360.119.1d1	C	$1$	$-1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$
360.119.1d2	C	$1$	$-1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$
360.119.4a	R	$4$	$2$	$0$	$4$	$4$	$1$	$1$	$1$	$0$	$-1$	$2$	$2$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$-1$	$-1$
360.119.4b	R	$4$	$-2$	$0$	$4$	$4$	$1$	$1$	$1$	$0$	$-1$	$-2$	$-2$	$0$	$0$	$1$	$1$	$1$	$0$	$0$	$-1$	$-1$
360.119.4c1	C	$4$	$2$	$0$	$4{\zeta }_3^{-1}$	$4{\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$0$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
360.119.4c2	C	$4$	$2$	$0$	$4{\zeta }_3$	$4{\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$0$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
360.119.4d1	C	$4$	$-2$	$0$	$4{\zeta }_3^{-1}$	$4{\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$-1$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	$0$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
360.119.4d2	C	$4$	$-2$	$0$	$4{\zeta }_3$	$4{\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$-1$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	$0$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
360.119.5a	R	$5$	$-1$	$1$	$5$	$5$	$-1$	$-1$	$-1$	$1$	$0$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$0$	$0$
360.119.5b	R	$5$	$1$	$1$	$5$	$5$	$-1$	$-1$	$-1$	$-1$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$0$	$0$
360.119.5c1	C	$5$	$-1$	$1$	$5{\zeta }_3^{-1}$	$5{\zeta }_3$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$
360.119.5c2	C	$5$	$-1$	$1$	$5{\zeta }_3$	$5{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$
360.119.5d1	C	$5$	$1$	$1$	$5{\zeta }_3^{-1}$	$5{\zeta }_3$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$
360.119.5d2	C	$5$	$1$	$1$	$5{\zeta }_3$	$5{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$
360.119.6a	R	$6$	$0$	$-2$	$6$	$6$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
360.119.6b1	C	$6$	$0$	$-2$	$6{\zeta }_3^{-1}$	$6{\zeta }_3$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
360.119.6b2	C	$6$	$0$	$-2$	$6{\zeta }_3$	$6{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$