Character table for $Q_{16}:C_8$

		1A	2A	2B	2C	4A	4B	4C1	4C-1	4D1	4D-1	4E	4F	4G1	4G-1	8A1	8A-1	8A3	8A-3	8B	8C	8D1	8D-1	8D3	8D-3	16A1	16A-1	16A3	16A-3	16B1	16B-1	16B3	16B-3
	Size	1	1	1	1	2	2	2	2	2	2	8	8	8	8	2	2	2	2	4	4	8	8	8	8	4	4	4	4	4	4	4	4
	2 P	1A	1A	1A	1A	2B	2B	2A	2A	2C	2C	2B	2B	2C	2C	4B	4B	4B	4B	4A	4A	4D1	4D-1	4D-1	4D1	8A1	8A-1	8A3	8A-3	8A-3	8A3	8A-1	8A1
	Type
128.66.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
128.66.1b	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
128.66.1c	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
128.66.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
128.66.1e1	C	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$-i$	$i$	$i$	$i$	$-i$	$-i$	$-i$	$i$	$-i$	$i$	$i$
128.66.1e2	C	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$i$	$-i$	$-i$	$-i$	$i$	$i$	$i$	$-i$	$i$	$-i$	$-i$
128.66.1f1	C	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$-i$	$i$	$i$	$-i$	$i$	$i$	$i$	$-i$	$i$	$-i$	$-i$
128.66.1f2	C	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$i$	$-i$	$-i$	$i$	$-i$	$-i$	$-i$	$i$	$-i$	$i$	$i$
128.66.1g1	C	$1$	$-1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8$
128.66.1g2	C	$1$	$-1$	$1$	$-1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	${\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8^3$
128.66.1g3	C	$1$	$-1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8$
128.66.1g4	C	$1$	$-1$	$1$	$-1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8^3$
128.66.1h1	C	$1$	$-1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8$
128.66.1h2	C	$1$	$-1$	$1$	$-1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	${\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8^3$
128.66.1h3	C	$1$	$-1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8$
128.66.1h4	C	$1$	$-1$	$1$	$-1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8^3$
128.66.2a	R	$2$	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.2b	R	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.2c1	R	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
128.66.2c2	R	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
128.66.2d1	C	$2$	$-2$	$2$	$-2$	$-2$	$-2i$	$2i$	$2$	$-2i$	$2i$	$0$	$0$	$0$	$0$	$-2i$	$2i$	$2i$	$-2i$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.2d2	C	$2$	$-2$	$2$	$-2$	$-2$	$2i$	$-2i$	$2$	$2i$	$-2i$	$0$	$0$	$0$	$0$	$2i$	$-2i$	$-2i$	$2i$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.2e1	C	$2$	$2$	$2$	$2$	$-2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
128.66.2e2	C	$2$	$2$	$2$	$2$	$-2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
128.66.2f1	C	$2$	$-2$	$2$	$-2$	$2$	$-2i$	$-2i$	$-2$	$2i$	$2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1+i$	$1+i$	$-1-i$	$1+i$	$1-i$	$-1-i$	$-1+i$	$1-i$
128.66.2f2	C	$2$	$-2$	$2$	$-2$	$2$	$2i$	$2i$	$-2$	$-2i$	$-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1-i$	$1-i$	$-1+i$	$1-i$	$1+i$	$-1+i$	$-1-i$	$1+i$
128.66.2g1	C	$2$	$-2$	$2$	$-2$	$2$	$-2i$	$-2i$	$-2$	$2i$	$2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1-i$	$-1-i$	$1+i$	$-1-i$	$-1+i$	$1+i$	$1-i$	$-1+i$
128.66.2g2	C	$2$	$-2$	$2$	$-2$	$2$	$2i$	$2i$	$-2$	$-2i$	$-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1+i$	$-1+i$	$1-i$	$-1+i$	$-1-i$	$1-i$	$1+i$	$-1-i$
128.66.4a1	C	$4$	$-4$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.4a2	C	$4$	$-4$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.4b1	S	$4$	$4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.66.4b2	S	$4$	$4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$