Character table for $C_3^5:(C_2\times S_4)$

		1A	2A	2B	2C	2D	2E	3A	3B1	3B-1	3C	3D	3E1	3E-1	3F	3G	3H	3I	3J	3K	3L1	3L-1	3M	3N	3O	4A	4B	6A1	6A-1	6B	6C	6D	6E	6F1	6F-1	6G1	6G-1	6H	6I	6J	6K	6L	6M	6N	6O	6P1	6P-1	6Q1	6Q-1	6R1	6R-1	6S1	6S-1	6T	6U	6V	6W1	6W-1	6X1	6X-1	6Y	6Z	9A1	9A-1	9B1	9B-1	12A	12B	18A1	18A-1
	Size	1	9	27	54	54	243	2	4	4	6	6	8	8	12	12	12	24	24	24	24	24	48	216	432	486	486	36	36	54	54	54	54	54	54	54	54	108	108	108	108	108	108	108	108	108	108	108	108	108	108	108	108	216	216	216	216	216	216	216	486	648	216	216	432	432	972	972	648	648
	2 P	1A	1A	1A	1A	1A	1A	3A	3B-1	3B1	3C	3D	3E-1	3E1	3F	3G	3H	3I	3J	3K	3L-1	3L1	3M	3N	3O	2B	2B	3B-1	3B1	3C	3C	3A	3D	3C	3C	3C	3C	3F	3G	3A	3D	3H	3D	3F	3F	3G	3G	3B1	3B-1	3B-1	3B1	3H	3H	3I	3J	3K	3E1	3E-1	3L1	3L-1	3C	3N	9A-1	9A1	9B-1	9B1	6D	6E	9A1	9A-1
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	4A	4B	2A	2A	2B	2A	2B	2B	2C	2C	2D	2D	2C	2B	2C	2B	2B	2D	2D	2A	2C	2C	2C	2C	2D	2D	2D	2D	2D	2C	2B	2C	2C	2D	2D	2E	2A	3B-1	3B1	3B1	3B-1	4A	4B	6A1	6A-1
	Type
11664.bi.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
11664.bi.1b	R	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$
11664.bi.1c	R	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
11664.bi.1d	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$
11664.bi.2a	R	$2$	$0$	$2$	$0$	$2$	$0$	$2$	$2$	$2$	$2$	$-1$	$2$	$2$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$2$	$-1$	$0$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$0$	$-1$	$0$	$0$	$-1$	$2$	$2$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$-1$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$	$0$	$-1$	$0$	$0$
11664.bi.2b	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$-1$	$-1$
11664.bi.2c	R	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$-2$	$-2$	$0$	$-2$	$2$	$2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-2$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$
11664.bi.2d	R	$2$	$0$	$2$	$0$	$-2$	$0$	$2$	$2$	$2$	$2$	$-1$	$2$	$2$	$2$	$-1$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$2$	$-1$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$0$	$-2$	$-2$	$2$	$-2$	$0$	$-1$	$0$	$0$	$-1$	$-2$	$-2$	$0$	$0$	$0$	$1$	$1$	$1$	$0$	$1$	$0$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$	$0$	$1$	$0$	$0$
11664.bi.3a	R	$3$	$3$	$-1$	$1$	$1$	$-1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$-1$	$3$	$3$	$1$	$3$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$3$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$
11664.bi.3b	R	$3$	$3$	$-1$	$-1$	$-1$	$-1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$1$	$3$	$3$	$-1$	$3$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$3$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$0$
11664.bi.3c	R	$3$	$-3$	$-1$	$-1$	$1$	$1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$1$	$-1$	$-3$	$-3$	$-1$	$-3$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-3$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$0$	$0$	$0$	$0$	$0$	$1$	$-1$	$0$	$0$
11664.bi.3d	R	$3$	$-3$	$-1$	$1$	$-1$	$1$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$-1$	$1$	$-3$	$-3$	$1$	$-3$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-3$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$0$	$0$
11664.bi.4a	R	$4$	$0$	$4$	$0$	$0$	$0$	$4$	$4$	$4$	$4$	$-2$	$4$	$4$	$4$	$-2$	$4$	$-2$	$4$	$-2$	$-2$	$-2$	$-2$	$-2$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$4$	$4$	$0$	$0$	$0$	$4$	$0$	$0$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$
11664.bi.4b1	C	$4$	$4$	$0$	$2$	$2$	$0$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$-2$	$1$	$1+3{\zeta }_3$	$1$	$-2-3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$2{\zeta }_3^{-1}$	$-2$	$0$	$0$	$0$	$2{\zeta }_3$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$-1$	$2{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-1$	$2$	$-{\zeta }_3$	$1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2$	$2{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$-{\zeta }_3$	$0$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
11664.bi.4b2	C	$4$	$4$	$0$	$2$	$2$	$0$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$-2$	$1$	$-2-3{\zeta }_3$	$1$	$1+3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$2{\zeta }_3$	$-2$	$0$	$0$	$0$	$2{\zeta }_3^{-1}$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$-1$	$2{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-1$	$2$	$-{\zeta }_3^{-1}$	$1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2$	$2{\zeta }_3$	$-1$	$-{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$-{\zeta }_3^{-1}$	$0$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
11664.bi.4c1	C	$4$	$4$	$0$	$-2$	$-2$	$0$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$-2$	$1$	$1+3{\zeta }_3$	$1$	$-2-3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2$	$0$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$1$	$-2{\zeta }_3$	$0$	${\zeta }_3^{-1}$	$1$	$-2$	${\zeta }_3$	$1$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2$	$-2{\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	$0$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
11664.bi.4c2	C	$4$	$4$	$0$	$-2$	$-2$	$0$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$-2$	$1$	$-2-3{\zeta }_3$	$1$	$1+3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2{\zeta }_3$	$-2$	$0$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$1$	$-2{\zeta }_3^{-1}$	$0$	${\zeta }_3$	$1$	$-2$	${\zeta }_3^{-1}$	$1$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2$	$-2{\zeta }_3$	$1$	${\zeta }_3$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	$0$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
11664.bi.4d1	C	$4$	$-4$	$0$	$-2$	$2$	$0$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$-2$	$1$	$1+3{\zeta }_3$	$1$	$-2-3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-2{\zeta }_3^{-1}$	$2$	$0$	$0$	$0$	$-2{\zeta }_3$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	${\zeta }_3^{-1}$	$0$	$1$	$-2{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-1$	$-2$	${\zeta }_3$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2$	$-2{\zeta }_3^{-1}$	$-1$	${\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	${\zeta }_3$	$0$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
11664.bi.4d2	C	$4$	$-4$	$0$	$-2$	$2$	$0$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$-2$	$1$	$-2-3{\zeta }_3$	$1$	$1+3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-2{\zeta }_3$	$2$	$0$	$0$	$0$	$-2{\zeta }_3^{-1}$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	${\zeta }_3$	$0$	$1$	$-2{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-1$	$-2$	${\zeta }_3^{-1}$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2$	$-2{\zeta }_3$	$-1$	${\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	${\zeta }_3^{-1}$	$0$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
11664.bi.4e1	C	$4$	$-4$	$0$	$2$	$-2$	$0$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$-2$	$1$	$1+3{\zeta }_3$	$1$	$-2-3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$2{\zeta }_3^{-1}$	$2$	$0$	$0$	$0$	$2{\zeta }_3$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$-1$	$2{\zeta }_3$	$0$	${\zeta }_3^{-1}$	$1$	$2$	$-{\zeta }_3$	$-1$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2$	$2{\zeta }_3^{-1}$	$1$	$-{\zeta }_3^{-1}$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-{\zeta }_3$	$0$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
11664.bi.4e2	C	$4$	$-4$	$0$	$2$	$-2$	$0$	$4$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$4$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$-2$	$1$	$-2-3{\zeta }_3$	$1$	$1+3{\zeta }_3$	$1$	$-2$	$1$	$1$	$1$	$0$	$0$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$2{\zeta }_3$	$2$	$0$	$0$	$0$	$2{\zeta }_3^{-1}$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$-1$	$2{\zeta }_3^{-1}$	$0$	${\zeta }_3$	$1$	$2$	$-{\zeta }_3^{-1}$	$-1$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2$	$2{\zeta }_3$	$1$	$-{\zeta }_3$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-{\zeta }_3^{-1}$	$0$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
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11664.bi.24h2	C	$24$	$0$	$0$	$-4$	$0$	$0$	$-12$	$6+18{\zeta }_3$	$-12-18{\zeta }_3$	$-12$	$0$	$6+9{\zeta }_3$	$-3-9{\zeta }_3$	$6$	$0$	$6$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4{\zeta }_3$	$0$	$0$	$0$	$0$	$-4{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$2{\zeta }_3$	$0$	$2$	$2{\zeta }_3^{-1}$	$0$	$0$	$0$	$2$	$2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$2{\zeta }_3$	$0$	$-{\zeta }_3$	$0$	$0$	$0$	$-1$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
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