Group #63513 — 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	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄
size	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	18	18	18	18	36	36
order	1	2	4	4	2	3	4	6	9	9	9	12	12	18	18	18	36	36	36	36	36	36	2	4	6	6	6	12	12	12	18	18	18	18	18	18	18	18	18	36	36	36	36	36	36	36	36	36	8	8	8	8	2	4
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	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	-1	-1	-1	-1	-1	-1
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₅	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1
χ₆	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1
χ₇	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	1
χ₈	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	-1
χ₉	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	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	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	2	2	-1	-1	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	-2	-2	-1	1	1	-1	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	2	2	-1	-1	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-2	-2	-1	1	1	-1	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	2	2	-1	-1	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₁₆	2	2	2	2	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	-2	-2	-1	1	1	-1	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0
χ₁₇	2	2	2	2	-2	2	-2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	0	0	-2	0	0	-2	-2	-2	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	-2	2	-2	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-2	0	0	-2	0	0	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₉	2	2	2	2	-2	2	-2	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-2	0	0	-2	0	0	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₂₀	2	2	2	2	-2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₂₁	2	2	2	2	-2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	0	0	0	0	0	0
χ₂₂	2	2	2	2	-2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₂₃	2	2	2	2	-2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	0	0	0	0	0	0
χ₂₄	2	2	2	2	-2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	0	0	0	0	0	0
χ₂₅	2	2	2	2	-2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₂₆	2	2	-2	-2	2	2	-2	2	2	2	2	-2	-2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	2	0	0	-2	0	0	2	2	2	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	-2	-2	2	2	-2	2	-1	-1	-1	-2	-2	-1	-1	-1	1	1	1	1	1	1	0	0	2	0	0	-2	0	0	-1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₂₈	2	2	-2	-2	2	2	-2	2	-1	-1	-1	-2	-2	-1	-1	-1	1	1	1	1	1	1	0	0	2	0	0	-2	0	0	-1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₂₉	2	2	-2	-2	2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	0	0	0	0	0	0
χ₃₀	2	2	-2	-2	2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₃₁	2	2	-2	-2	2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	0	0	0	0	0	0
χ₃₂	2	2	-2	-2	2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₃₃	2	2	-2	-2	2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₃₄	2	2	-2	-2	2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁴⁴−ζ⁵²	0	0	0	0	0	0
χ₃₅	2	2	-2	-2	-2	2	2	2	-1	-1	-1	-2	-2	-1	-1	-1	1	1	1	1	1	1	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	0	0	0	0	0	0
χ₃₆	2	2	-2	-2	-2	2	2	2	-1	-1	-1	-2	-2	-1	-1	-1	1	1	1	1	1	1	-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	0	0	0	0	0	0
χ₃₇	2	2	-2	-2	-2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	2	-2	1	-1	-1	-1	1	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	0	0	0	0
χ₃₈	2	2	-2	-2	-2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	-2	2	1	1	1	-1	-1	-1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₃₉	2	2	-2	-2	-2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	2	-2	1	-1	-1	-1	1	1	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0	0	0	0
χ₄₀	2	2	-2	-2	-2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	-2	2	1	1	1	-1	-1	-1	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₄₁	2	2	-2	-2	-2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	2	-2	1	-1	-1	-1	1	1	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0	0	0	0
χ₄₂	2	2	-2	-2	-2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	-2	2	1	1	1	-1	-1	-1	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₄₃	2	-2	$2 i$	$- 2 i$	0	2	0	-2	2	2	2	$2 i$	$- 2 i$	-2	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₄₄	2	-2	$2 i$	$- 2 i$	0	2	0	-2	2	2	2	$2 i$	$- 2 i$	-2	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₄₅	2	-2	$- 2 i$	$2 i$	0	2	0	-2	2	2	2	$- 2 i$	$2 i$	-2	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₄₆	2	-2	$- 2 i$	$2 i$	0	2	0	-2	2	2	2	$- 2 i$	$2 i$	-2	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₄₇	4	-4	$4 i$	$- 4 i$	0	4	0	-4	-2	-2	-2	$4 i$	$- 4 i$	2	2	2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	$4 i$	$- 4 i$	0	-2	0	2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	$- 2 i$	$2 i$	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	2ζ²²−2ζ⁶²+2ζ⁷⁰	−2ζ²²+2ζ⁶²−2ζ⁷⁰	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	$4 i$	$- 4 i$	0	-2	0	2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	$- 2 i$	$2 i$	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ²²−2ζ⁶²+2ζ⁷⁰	−2ζ²²+2ζ⁶²−2ζ⁷⁰	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	$4 i$	$- 4 i$	0	-2	0	2	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	$- 2 i$	$2 i$	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	2ζ²²−2ζ⁶²+2ζ⁷⁰	−2ζ²²+2ζ⁶²−2ζ⁷⁰	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	$- 4 i$	$4 i$	0	4	0	-4	-2	-2	-2	$- 4 i$	$4 i$	2	2	2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	-4	$- 4 i$	$4 i$	0	-2	0	2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	$2 i$	$- 2 i$	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	−2ζ²²+2ζ⁶²−2ζ⁷⁰	2ζ²²−2ζ⁶²+2ζ⁷⁰	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	$- 4 i$	$4 i$	0	-2	0	2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	$2 i$	$- 2 i$	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ²²+2ζ⁶²−2ζ⁷⁰	2ζ²²−2ζ⁶²+2ζ⁷⁰	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²²	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	$- 4 i$	$4 i$	0	-2	0	2	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	$2 i$	$- 2 i$	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²²	−2ζ¹⁴−2ζ⁶²+2ζ⁷⁰	2ζ¹⁴+2ζ⁶²−2ζ⁷⁰	−2ζ²²+2ζ⁶²−2ζ⁷⁰	2ζ²²−2ζ⁶²+2ζ⁷⁰	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #63513