Character table for $C_2^4.C_2\wr C_4$

The column representing the conjugacy class 4H1 is highlighted below.

		1A	2A	2B	2C	2D	2E	2F	2G	2H	4A	4B	4C	4D	4E	4F	4G1	4G-1	4H1	4H-1	4I	4J	4K	4L1	4L-1	8A1	8A-1	8B	8C	8D1	8D-1	16A1	16A-1	16A3	16A-3
	Size	1	1	2	4	4	4	16	32	32	8	8	8	8	16	16	16	16	16	16	32	32	32	64	64	32	32	64	64	64	64	64	64	64	64
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	1A	2A	2A	2A	2A	2A	2A	2D	2D	2D	2D	2B	2E	2E	2F	2F	4B	4B	4C	4D	4F	4F	8A1	8A-1	8A-1	8A1
	Type
1024.dim.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
1024.dim.1b	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
1024.dim.1c	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
1024.dim.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
1024.dim.1e1	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-i$	$i$	$-1$	$-1$	$1$	$1$	$i$	$-i$	$-i$	$i$	$i$	$-i$
1024.dim.1e2	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$i$	$-i$	$-1$	$-1$	$1$	$1$	$-i$	$i$	$i$	$-i$	$-i$	$i$
1024.dim.1f1	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-i$	$i$	$-1$	$-1$	$-1$	$-1$	$i$	$-i$	$i$	$-i$	$-i$	$i$
1024.dim.1f2	C	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$i$	$-i$	$-1$	$-1$	$-1$	$-1$	$-i$	$i$	$-i$	$i$	$i$	$-i$
1024.dim.2a	R	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$2$	$-2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.2b	R	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.2c1	R	$2$	$2$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
1024.dim.2c2	R	$2$	$2$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
1024.dim.2d1	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$-2$	$2$	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
1024.dim.2d2	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$-2$	$2$	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
1024.dim.2e1	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-1-i$	$-1+i$	$-2i$	$2i$	$0$	$0$	$1-i$	$1+i$	$0$	$0$	$0$	$0$
1024.dim.2e2	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-1+i$	$-1-i$	$2i$	$-2i$	$0$	$0$	$1+i$	$1-i$	$0$	$0$	$0$	$0$
1024.dim.2f1	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$1-i$	$1+i$	$2i$	$-2i$	$0$	$0$	$-1-i$	$-1+i$	$0$	$0$	$0$	$0$
1024.dim.2f2	C	$2$	$2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$1+i$	$1-i$	$-2i$	$2i$	$0$	$0$	$-1+i$	$-1-i$	$0$	$0$	$0$	$0$
1024.dim.4a	R	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$0$	$0$	$4$	$4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.4b	R	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$-2$	$-2$	$-4$	$-4$	$0$	$0$	$2$	$0$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.4c	R	$4$	$4$	$4$	$4$	$4$	$4$	$0$	$2$	$2$	$-4$	$-4$	$0$	$0$	$-2$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.4d	R	$4$	$4$	$4$	$-4$	$4$	$-4$	$0$	$0$	$0$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.4e	R	$4$	$4$	$4$	$-4$	$4$	$-4$	$0$	$0$	$0$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8a	R	$8$	$8$	$8$	$0$	$-8$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8b	R	$8$	$8$	$8$	$0$	$-8$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8c	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$-4$	$4$	$2$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8d	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$4$	$-4$	$-2$	$0$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8e	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$-4$	$4$	$-2$	$0$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8f	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$4$	$-4$	$2$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8g1	C	$8$	$-8$	$0$	$4$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4i$	$0$	$0$	$4i$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8g2	C	$8$	$-8$	$0$	$4$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4i$	$0$	$0$	$-4i$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8h1	C	$8$	$-8$	$0$	$4$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4i$	$0$	$4i$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.8h2	C	$8$	$-8$	$0$	$4$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4i$	$0$	$-4i$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
1024.dim.16a	R	$16$	$-16$	$0$	$-8$	$0$	$8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$