Character table for $\SD_{32}$

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

		1A	2A	2B	4A	4B	8A1	8A3	16A1	16A-1	16A3	16A-3
	Size	1	1	8	2	8	2	2	2	2	2	2
	2 P	1A	1A	1A	2A	2A	4A	4A	8A1	8A1	8A3	8A3
	Type
32.19.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
32.19.1b	R	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$
32.19.1c	R	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
32.19.1d	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
32.19.2a	R	$2$	$2$	$0$	$2$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$
32.19.2b1	R	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
32.19.2b2	R	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
32.19.2c1	C	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	${\zeta }_{16}^3+{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^7$
32.19.2c2	C	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^7$
32.19.2c3	C	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	${\zeta }_{16}^3+{\zeta }_{16}^5$
32.19.2c4	C	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$