Group #11722237 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈
size	1	1	6	6	6	8	8	12	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	9	9	54	54	54	72	72	108
order	1	2	4	8	8	3	6	2	3	6	12	24	24	3	6	6	9	18	36	72	72	9	18	18	9	18	36	72	72	9	18	18	9	18	36	72	72	9	18	18	2	2	4	8	8	6	6	2
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1
χ₃	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0
χ₄	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0
χ₅	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0
χ₆	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1
χ₇	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1
χ₈	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0
χ₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₀	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1
χ₁₁	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0
χ₁₂	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0
χ₁₃	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0
χ₁₄	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1
χ₁₅	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1
χ₁₆	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0
χ₁₇	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	-2	-2	2	2	-2	2	2	2	-2	-2	2	2	-2	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	0	0	0	0	0	0	0	0
χ₁₉	4	4	4	0	0	-2	-2	0	4	4	4	0	0	-2	-2	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	0	0	0	0	0	0	0	0
χ₂₀	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0
χ₂₁	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	-2	2	2	0	0	-2	6	6	-2	2	2	0	0	-2	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	0	0	0	0	0	0	0	0
χ₂₃	6	6	-2	-2	-2	0	0	2	6	6	-2	-2	-2	0	0	2	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	0	0	0	0	0	0	0	0
χ₂₄	8	-8	0	0	0	2	-2	0	8	-8	0	0	0	2	-2	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	-2	-2	2	2	-2	-1	-1	-1	1	1	-1	-1	1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	0	0	-2	-2	0	-2	-2	-2	0	0	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁵+ζ¹³+ζ²³+ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	ζ⁵+ζ¹³+ζ²³+ζ³¹	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	-2	2	2	0	0	-2	-3	-3	1	-1	-1	0	0	1	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₃₁	6	6	-2	-2	-2	0	0	2	-3	-3	1	1	1	0	0	-1	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0	0	0
χ₃₂	8	-8	0	0	0	2	-2	0	-4	4	0	0	0	-1	1	0	4ζ⁴−4ζ⁴⁴+4ζ⁵²	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	0	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	0	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	−4ζ⁴−4ζ⁶⁸	4ζ⁴+4ζ⁶⁸	0	0	0	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₃₃	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0	0	0
χ₃₄	2	2	2	-2	-2	2	2	-2	-1	-1	-1	1	1	-1	-1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0	0	0
χ₃₅	4	4	4	0	0	-2	-2	0	-2	-2	-2	0	0	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁵+ζ¹³+ζ²³+ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	ζ⁵+ζ¹³+ζ²³+ζ³¹	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-2	2	2	0	0	-2	-3	-3	1	-1	-1	0	0	1	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0	0	0
χ₃₉	6	6	-2	-2	-2	0	0	2	-3	-3	1	1	1	0	0	-1	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	−ζ⁴−ζ⁶⁸	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	0	0	2	-2	0	-4	4	0	0	0	-1	1	0	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	0	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	−4ζ⁴−4ζ⁶⁸	4ζ⁴+4ζ⁶⁸	0	0	0	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	4ζ⁴−4ζ⁴⁴+4ζ⁵²	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	0	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0	0	0	0
χ₄₁	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₄₂	2	2	2	-2	-2	2	2	-2	-1	-1	-1	1	1	-1	-1	1	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0
χ₄₃	4	4	4	0	0	-2	-2	0	-2	-2	-2	0	0	1	1	0	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁵+ζ¹³+ζ²³+ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	ζ⁵+ζ¹³+ζ²³+ζ³¹	−ζ⁵−ζ¹³−ζ²³−ζ³¹	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	−ζ⁷−ζ¹³−ζ³¹+ζ⁵³−ζ⁶¹+ζ⁷¹	ζ⁷+ζ¹³+ζ³¹−ζ⁵³+ζ⁶¹−ζ⁷¹	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	−ζ⁵+ζ⁷−ζ²³−ζ⁵³+ζ⁶¹−ζ⁷¹	ζ⁵−ζ⁷+ζ²³+ζ⁵³−ζ⁶¹+ζ⁷¹	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-2	2	2	0	0	-2	-3	-3	1	-1	-1	0	0	1	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	ζ⁴+ζ⁶⁸	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0
χ₄₇	6	6	-2	-2	-2	0	0	2	-3	-3	1	1	1	0	0	-1	−3ζ⁴−3ζ⁶⁸	−3ζ⁴−3ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	−ζ⁴−ζ⁶⁸	3ζ⁴−3ζ⁴⁴+3ζ⁵²	3ζ⁴−3ζ⁴⁴+3ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	3ζ⁴⁴−3ζ⁵²+3ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	0	0	2	-2	0	-4	4	0	0	0	-1	1	0	−4ζ⁴−4ζ⁶⁸	4ζ⁴+4ζ⁶⁸	0	0	0	−ζ⁴−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	4ζ⁴−4ζ⁴⁴+4ζ⁵²	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	0	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	0	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0	0

Character table — Group #11722237