Character table for $Q_{64}$

		1A	2A	4A	4B	4C	8A1	8A3	16A1	16A3	16A5	16A7	32A1	32A3	32A5	32A7	32A9	32A11	32A13	32A15
	Size	1	1	2	16	16	2	2	2	2	2	2	2	2	2	2	2	2	2	2
	2 P	1A	1A	2A	2A	2A	4A	4A	8A1	8A3	8A3	8A1	16A1	16A3	16A5	16A7	16A7	16A5	16A3	16A1
	Type
64.54.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
64.54.1b	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
64.54.1c	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
64.54.1d	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
64.54.2a	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.54.2b1	R	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
64.54.2b2	R	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
64.54.2c1	R	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$
64.54.2c2	R	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$
64.54.2c3	R	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$
64.54.2c4	R	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$
64.54.2d1	S	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$
64.54.2d2	S	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$
64.54.2d3	S	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$
64.54.2d4	S	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$
64.54.2d5	S	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$
64.54.2d6	S	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$
64.54.2d7	S	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	${\zeta }_{32}^{-1}+{\zeta }_{32}$
64.54.2d8	S	$2$	$-2$	$0$	$0$	$0$	${\zeta }_{32}^{-4}+{\zeta }_{32}^4$	$-{\zeta }_{32}^{-4}-{\zeta }_{32}^4$	${\zeta }_{32}^{-2}+{\zeta }_{32}^2$	${\zeta }_{32}^{-6}+{\zeta }_{32}^6$	$-{\zeta }_{32}^{-6}-{\zeta }_{32}^6$	$-{\zeta }_{32}^{-2}-{\zeta }_{32}^2$	${\zeta }_{32}^{-1}+{\zeta }_{32}$	${\zeta }_{32}^{-3}+{\zeta }_{32}^3$	$-{\zeta }_{32}^{-5}-{\zeta }_{32}^5$	$-{\zeta }_{32}^{-7}-{\zeta }_{32}^7$	${\zeta }_{32}^{-7}+{\zeta }_{32}^7$	${\zeta }_{32}^{-5}+{\zeta }_{32}^5$	$-{\zeta }_{32}^{-3}-{\zeta }_{32}^3$	$-{\zeta }_{32}^{-1}-{\zeta }_{32}$