Character table for $C_3^4:(C_3\times \SD_{16})$

		1A	2A	2B	3A	3B1	3B-1	3C	3D	3E1	3E-1	4A	4B	6A	6B1	6B-1	6C1	6C-1	6D	6E1	6E-1	8A1	8A-1	12A1	12A-1	12B1	12B-1	24A1	24A-1	24A7	24A-7
	Size	1	36	81	8	9	9	24	48	72	72	162	324	72	81	81	108	108	216	216	216	162	162	162	162	324	324	162	162	162	162
	2 P	1A	1A	1A	3A	3B-1	3B1	3C	3D	3E-1	3E1	2B	2B	3A	3B1	3B-1	3B-1	3B1	3C	3E1	3E-1	4A	4A	6B1	6B-1	6B1	6B-1	12A1	12A-1	12A1	12A-1
	3 P	1A	2A	2B	1A	1A	1A	1A	1A	1A	1A	4A	4B	2A	2B	2B	2A	2A	2A	2A	2A	8A1	8A-1	4A	4A	4B	4B	8A1	8A-1	8A-1	8A1
	Type
3888.el.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
3888.el.1b	R	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$
3888.el.1c	R	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
3888.el.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
3888.el.1e1	C	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$
3888.el.1e2	C	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$
3888.el.1f1	C	$1$	$-1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$-1$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$
3888.el.1f2	C	$1$	$-1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$-1$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$
3888.el.1g1	C	$1$	$-1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
3888.el.1g2	C	$1$	$-1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
3888.el.1h1	C	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$-1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
3888.el.1h2	C	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$-1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
3888.el.2a	R	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.2b1	C	$2$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
3888.el.2b2	C	$2$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
3888.el.2c1	C	$2$	$0$	$2$	$2$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2$	$2$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-2$	$0$	$0$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.2c2	C	$2$	$0$	$2$	$2$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2$	$2$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-2$	$0$	$0$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.2d1	C	$2$	$0$	$-2$	$2$	$-2{\zeta }_{24}^4$	$2{\zeta }_{24}^8$	$2$	$2$	$2{\zeta }_{24}^8$	$-2{\zeta }_{24}^4$	$0$	$0$	$0$	$-2{\zeta }_{24}^8$	$2{\zeta }_{24}^4$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{24}-{\zeta }_{24}^3-{\zeta }_{24}^5$	$-{\zeta }_{24}+{\zeta }_{24}^3+{\zeta }_{24}^5$	$0$	$0$	$0$	$0$	${\zeta }_{24}^3+{\zeta }_{24}^5-{\zeta }_{24}^7$	${\zeta }_{24}-{\zeta }_{24}^7$	$-{\zeta }_{24}^3-{\zeta }_{24}^5+{\zeta }_{24}^7$	$-{\zeta }_{24}+{\zeta }_{24}^7$
3888.el.2d2	C	$2$	$0$	$-2$	$2$	$2{\zeta }_{24}^8$	$-2{\zeta }_{24}^4$	$2$	$2$	$-2{\zeta }_{24}^4$	$2{\zeta }_{24}^8$	$0$	$0$	$0$	$2{\zeta }_{24}^4$	$-2{\zeta }_{24}^8$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{24}+{\zeta }_{24}^3+{\zeta }_{24}^5$	${\zeta }_{24}-{\zeta }_{24}^3-{\zeta }_{24}^5$	$0$	$0$	$0$	$0$	${\zeta }_{24}-{\zeta }_{24}^7$	${\zeta }_{24}^3+{\zeta }_{24}^5-{\zeta }_{24}^7$	$-{\zeta }_{24}+{\zeta }_{24}^7$	$-{\zeta }_{24}^3-{\zeta }_{24}^5+{\zeta }_{24}^7$
3888.el.2d3	C	$2$	$0$	$-2$	$2$	$-2{\zeta }_{24}^4$	$2{\zeta }_{24}^8$	$2$	$2$	$2{\zeta }_{24}^8$	$-2{\zeta }_{24}^4$	$0$	$0$	$0$	$-2{\zeta }_{24}^8$	$2{\zeta }_{24}^4$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{24}+{\zeta }_{24}^3+{\zeta }_{24}^5$	${\zeta }_{24}-{\zeta }_{24}^3-{\zeta }_{24}^5$	$0$	$0$	$0$	$0$	$-{\zeta }_{24}^3-{\zeta }_{24}^5+{\zeta }_{24}^7$	$-{\zeta }_{24}+{\zeta }_{24}^7$	${\zeta }_{24}^3+{\zeta }_{24}^5-{\zeta }_{24}^7$	${\zeta }_{24}-{\zeta }_{24}^7$
3888.el.2d4	C	$2$	$0$	$-2$	$2$	$2{\zeta }_{24}^8$	$-2{\zeta }_{24}^4$	$2$	$2$	$-2{\zeta }_{24}^4$	$2{\zeta }_{24}^8$	$0$	$0$	$0$	$2{\zeta }_{24}^4$	$-2{\zeta }_{24}^8$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{24}-{\zeta }_{24}^3-{\zeta }_{24}^5$	$-{\zeta }_{24}+{\zeta }_{24}^3+{\zeta }_{24}^5$	$0$	$0$	$0$	$0$	$-{\zeta }_{24}+{\zeta }_{24}^7$	$-{\zeta }_{24}^3-{\zeta }_{24}^5+{\zeta }_{24}^7$	${\zeta }_{24}-{\zeta }_{24}^7$	${\zeta }_{24}^3+{\zeta }_{24}^5-{\zeta }_{24}^7$
3888.el.8a	R	$8$	$2$	$0$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$2$	$0$	$0$	$2$	$2$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.8b	R	$8$	$-2$	$0$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$-2$	$0$	$0$	$-2$	$-2$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.8c1	C	$8$	$2$	$0$	$8$	$8{\zeta }_3^{-1}$	$8{\zeta }_3$	$-1$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$2$	$0$	$0$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.8c2	C	$8$	$2$	$0$	$8$	$8{\zeta }_3$	$8{\zeta }_3^{-1}$	$-1$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$2$	$0$	$0$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.8d1	C	$8$	$-2$	$0$	$8$	$8{\zeta }_3^{-1}$	$8{\zeta }_3$	$-1$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-2$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.8d2	C	$8$	$-2$	$0$	$8$	$8{\zeta }_3$	$8{\zeta }_3^{-1}$	$-1$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-2$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.24a	R	$24$	$6$	$0$	$-3$	$0$	$0$	$6$	$-3$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.24b	R	$24$	$-6$	$0$	$-3$	$0$	$0$	$6$	$-3$	$0$	$0$	$0$	$0$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
3888.el.48a	R	$48$	$0$	$0$	$-6$	$0$	$0$	$-6$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$