Character table for $(C_2^2\times Q_8).Q_{16}$

		1A	2A	2B	2C	2D	2E	2F	2G	4A1	4A-1	4B	4C	4D	4E	4F1	4F-1	4G1	4G-1	4H	4I1	4I-1	4J1	4J-1	8A1	8A-1	8B1	8B-1	8B3	8B-3
	Size	1	1	2	4	4	4	8	8	4	4	8	16	16	16	16	16	16	16	32	32	32	32	32	32	32	32	32	32	32
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	2A	2A	2A	2A	2D	2D	2D	2D	2E	2E	2D	2F	2F	2G	2G	4A1	4A-1	4G1	4G-1	4G-1	4G1
	Type
512.1894.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
512.1894.1b	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$
512.1894.1c	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
512.1894.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$
512.1894.1e1	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-i$	$-i$	$1$	$i$	$i$	$1$	$-i$	$1$	$i$	$-i$	$i$
512.1894.1e2	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$i$	$i$	$1$	$-i$	$-i$	$1$	$i$	$1$	$-i$	$i$	$-i$
512.1894.1f1	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$-i$	$1$	$i$	$i$	$-1$	$i$	$-1$	$-i$	$i$	$-i$
512.1894.1f2	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$i$	$1$	$-i$	$-i$	$-1$	$-i$	$-1$	$i$	$-i$	$i$
512.1894.2a	R	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$2$	$2$	$0$	$0$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2b	R	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2c1	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	$0$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
512.1894.2c2	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$0$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
512.1894.2d1	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$-2i$	$0$	$2i$	$0$	$0$	$-1+i$	$1-i$	$0$	$1+i$	$-1-i$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2d2	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$2i$	$0$	$-2i$	$0$	$0$	$-1-i$	$1+i$	$0$	$1-i$	$-1+i$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2e1	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$-2i$	$0$	$2i$	$0$	$0$	$1-i$	$-1+i$	$0$	$-1-i$	$1+i$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2e2	C	$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$2i$	$0$	$-2i$	$0$	$0$	$1+i$	$-1-i$	$0$	$-1+i$	$1-i$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.2f1	S	$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
512.1894.2f2	S	$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
512.1894.4a	R	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$0$	$-4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.4b	R	$4$	$4$	$4$	$-4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.4c	R	$4$	$4$	$4$	$-4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.4d1	C	$4$	$4$	$4$	$-4$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2i$	$0$	$2i$	$0$	$0$	$0$
512.1894.4d2	C	$4$	$4$	$4$	$-4$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2i$	$0$	$-2i$	$0$	$0$	$0$
512.1894.8a	R	$8$	$8$	$-8$	$0$	$0$	$0$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.8b	R	$8$	$8$	$-8$	$0$	$0$	$0$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.8c1	C	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$-4i$	$4i$	$0$	$-2$	$-2i$	$0$	$0$	$0$	$2$	$2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.8c2	C	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$4i$	$-4i$	$0$	$-2$	$2i$	$0$	$0$	$0$	$2$	$-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.8d1	C	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$-4i$	$4i$	$0$	$2$	$2i$	$0$	$0$	$0$	$-2$	$-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.1894.8d2	C	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$4i$	$-4i$	$0$	$2$	$-2i$	$0$	$0$	$0$	$-2$	$2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$