Character table for $C_3^6:(C_8:S_5)$

		1A	2A	2B	2C	2D	3A	3B	3C	3D	3E	3F	4A	4B	4C	4D	4E	5A	6A	6B	6C	6D	6E	6F	6G	6H	6I	6J	6K	6L	6M	8A1	8A-1	8B1	8B-1	9A	10A	12A1	12A-1	12B1	12B-1	12C	12D	12E	15A	18A	20A1	20A-1	24A1	24A-1	40A1	40A-1	40A7	40A-7
	Size	1	135	729	1080	1215	48	80	120	240	240	1620	1458	9720	21870	29160	29160	1944	2160	2160	2160	2160	2160	2160	6480	6480	6480	6480	9720	14580	19440	1458	1458	21870	21870	12960	17496	19440	19440	19440	19440	29160	58320	58320	15552	38880	17496	17496	29160	29160	17496	17496	17496	17496
	2 P	1A	1A	1A	1A	1A	3A	3B	3C	3D	3E	3F	2B	2A	2B	2B	2D	5A	3B	3D	3E	3A	3B	3C	3C	3B	3E	3E	3C	3F	3F	4A	4A	4A	4A	9A	5A	6B	6B	6D	6D	6L	6L	6K	15A	9A	10A	10A	12C	12C	20A1	20A-1	20A1	20A-1
	3 P	1A	2A	2B	2C	2D	1A	1A	1A	1A	1A	1A	4A	4B	4C	4D	4E	5A	2C	2A	2A	2A	2A	2A	2C	2C	2C	2C	2D	2B	2C	8A1	8A-1	8B1	8B-1	3B	10A	4B	4B	4B	4B	4A	4D	4E	5A	6A	20A1	20A-1	8A1	8A-1	40A1	40A-1	40A7	40A-7
	5 P	1A	2A	2B	2C	2D	3A	3B	3C	3D	3E	3F	4A	4B	4C	4D	4E	1A	6A	6B	6C	6D	6E	6F	6G	6H	6I	6J	6K	6L	6M	8A-1	8A1	8B-1	8B1	9A	2B	12A1	12A-1	12B1	12B-1	12C	12D	12E	3A	18A	4A	4A	24A-1	24A1	8A-1	8A1	8A1	8A-1
	Type
699840.c.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
699840.c.1b	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
699840.c.1c	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
699840.c.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
699840.c.2a	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$0$	$-2$	$0$	$0$	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
699840.c.2b1	C	$2$	$-2$	$-2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
699840.c.2b2	C	$2$	$-2$	$-2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
699840.c.4a	R	$4$	$0$	$4$	$2$	$0$	$4$	$4$	$4$	$4$	$4$	$1$	$4$	$0$	$0$	$2$	$0$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$1$	$-1$	$4$	$4$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$-1$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
699840.c.4b	R	$4$	$0$	$4$	$-2$	$0$	$4$	$4$	$4$	$4$	$4$	$1$	$4$	$0$	$0$	$-2$	$0$	$-1$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$1$	$1$	$4$	$4$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
699840.c.4c	R	$4$	$0$	$4$	$-2$	$0$	$4$	$4$	$4$	$4$	$4$	$1$	$4$	$0$	$0$	$2$	$0$	$-1$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$1$	$1$	$-4$	$-4$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$-1$	$0$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
699840.c.4d	R	$4$	$0$	$4$	$2$	$0$	$4$	$4$	$4$	$4$	$4$	$1$	$4$	$0$	$0$	$-2$	$0$	$-1$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$1$	$-1$	$-4$	$-4$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
699840.c.5a	R	$5$	$1$	$5$	$-1$	$1$	$5$	$5$	$5$	$5$	$5$	$-1$	$5$	$1$	$1$	$-1$	$1$	$0$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$5$	$5$	$1$	$1$	$-1$	$0$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$0$	$-1$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$
699840.c.5b	R	$5$	$1$	$5$	$1$	$1$	$5$	$5$	$5$	$5$	$5$	$-1$	$5$	$-1$	$1$	$1$	$-1$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$5$	$5$	$1$	$1$	$-1$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$0$	$1$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$
699840.c.5c	R	$5$	$1$	$5$	$-1$	$1$	$5$	$5$	$5$	$5$	$5$	$-1$	$5$	$-1$	$1$	$1$	$1$	$0$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-5$	$-5$	$-1$	$-1$	$-1$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$0$	$-1$	$0$	$0$	$1$	$1$	$0$	$0$	$0$	$0$
699840.c.5d	R	$5$	$1$	$5$	$1$	$1$	$5$	$5$	$5$	$5$	$5$	$-1$	$5$	$1$	$1$	$-1$	$-1$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-5$	$-5$	$-1$	$-1$	$-1$	$0$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$0$	$1$	$0$	$0$	$1$	$1$	$0$	$0$	$0$	$0$
699840.c.6a	R	$6$	$-2$	$6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$6$	$0$	$-2$	$0$	$0$	$1$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$6$	$6$	$-2$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$1$	$1$	$0$	$0$	$1$	$1$	$1$	$1$
699840.c.6b	R	$6$	$-2$	$6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$6$	$0$	$-2$	$0$	$0$	$1$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-6$	$-6$	$2$	$2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$1$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
699840.c.6c1	C	$6$	$-2$	$6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$-6$	$0$	$2$	$0$	$0$	$1$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$-1$	$-1$	$0$	$0$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$
699840.c.6c2	C	$6$	$-2$	$6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$-6$	$0$	$2$	$0$	$0$	$1$	$0$	$-2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$-1$	$-1$	$0$	$0$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$
699840.c.6d1	C	$6$	$2$	$-6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-3{\zeta }_{40}^5-3{\zeta }_{40}^{15}$	$3{\zeta }_{40}^5+3{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$0$	$0$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$
699840.c.6d2	C	$6$	$2$	$-6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$3{\zeta }_{40}^5+3{\zeta }_{40}^{15}$	$-3{\zeta }_{40}^5-3{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$0$	$0$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$
699840.c.6d3	C	$6$	$2$	$-6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-3{\zeta }_{40}^5-3{\zeta }_{40}^{15}$	$3{\zeta }_{40}^5+3{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$0$	$0$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$
699840.c.6d4	C	$6$	$2$	$-6$	$0$	$-2$	$6$	$6$	$6$	$6$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$3{\zeta }_{40}^5+3{\zeta }_{40}^{15}$	$-3{\zeta }_{40}^5-3{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$0$	$0$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$
699840.c.8a	R	$8$	$0$	$8$	$0$	$0$	$8$	$8$	$8$	$8$	$8$	$2$	$-8$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
699840.c.8b1	C	$8$	$0$	$-8$	$0$	$0$	$8$	$8$	$8$	$8$	$8$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-4{\zeta }_8-4{\zeta }_8^3$	$4{\zeta }_8+4{\zeta }_8^3$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
699840.c.8b2	C	$8$	$0$	$-8$	$0$	$0$	$8$	$8$	$8$	$8$	$8$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$4{\zeta }_8+4{\zeta }_8^3$	$-4{\zeta }_8-4{\zeta }_8^3$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
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