Group #13180439 — 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	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂
size	1	1	2	2	8	8	9	9	16	16	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	36	36	72	72	108	108	1	1	2	2	8	8	9	9	16	16	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	36	36	72	72	108	108
order	1	2	3	6	3	6	2	2	3	6	4	4	6	6	8	8	8	8	12	12	12	12	24	24	24	24	24	24	24	24	2	2	6	6	4	4	2	2	6	6	6	6	2	2	6	6	4	4	6	6	8	8	8	8	12	12	12	12	24	24	24	24	24	24	24	24	2	2	6	6	4	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	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	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	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	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	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	1	-1	$i$	$- i$	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	1	-1	$i$	$- i$
χ₆	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	-1	1	$- i$	$i$	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	-1	1	$- i$	$i$
χ₇	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	1	-1	$- i$	$i$	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	1	-1	$- i$	$i$
χ₈	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	-1	1	$i$	$- i$	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	-1	1	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₁₂	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₃	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0
χ₁₄	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₁₅	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₁₆	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	0	0	0	0	0	0	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	0	0	0	0	0	0
χ₁₇	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	0	0	0	0	0	0	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	0	0	0	0	0	0
χ₁₈	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	0	0	0	0	0	0	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	0	0	0	0	0	0
χ₁₉	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	0	0	0	0	0	0	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	0	0	0	0	0	0
χ₂₀	2	-2	2	-2	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₂	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₃	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0
χ₂₄	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0
χ₂₅	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₂₆	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₂₇	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	0	0	0	0	0	0	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	0	0	0	0	0	0
χ₂₈	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	0	0	0	0	0	0	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	0	0	0	0	0	0
χ₂₉	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	0	0	0	0	0	0	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	0	0	0	0	0	0
χ₃₀	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	0	0	0	0	0	0	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	0	0	0	0	0	0
χ₃₁	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0
χ₃₂	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0
χ₃₃	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0
χ₃₄	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0
χ₃₅	16	16	-8	-8	-2	-2	0	0	1	1	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	16	16	-8	-8	-2	-2	0	0	1	1	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
χ₃₆	16	-16	-8	8	-2	2	0	0	1	-1	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	16	-16	-8	8	-2	2	0	0	1	-1	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
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₃₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1
χ₄₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₄₁	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	1	-1	$i$	$- i$	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	1	-1	$- i$	$- i$	$i$	$i$	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	-1	1	$- i$	$i$
χ₄₂	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	-1	1	$- i$	$i$	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	1	-1	$- i$	$- i$	$i$	$i$	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	1	-1	$i$	$- i$
χ₄₃	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	1	-1	$- i$	$i$	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	1	-1	$i$	$i$	$- i$	$- i$	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	-1	1	$i$	$- i$
χ₄₄	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	-1	1	$i$	$- i$	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	1	-1	$i$	$i$	$- i$	$- i$	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	1	-1	$- i$	$i$
χ₄₅	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	2	2	-2	-2	0	0	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₄₇	2	2	2	2	2	2	-2	-2	2	2	0	0	-2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	2	2	-2	-2	0	0	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₄₈	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0
χ₄₉	2	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	-2	-2	1	1	2	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₅₀	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	2	2	1	1	0	0	0	0	-1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₅₁	2	2	-1	-1	2	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	1	1	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	2	2	1	1	0	0	0	0	-1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₅₂	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	0	0	0	0	0	0	-2	-2	1	1	-2	-2	2	2	1	1	0	0	-1	-1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	0	0	0	0	0	0
χ₅₃	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	0	0	0	0	0	0	-2	-2	1	1	-2	-2	2	2	1	1	0	0	-1	-1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	0	0	0	0	0	0
χ₅₄	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	0	0	0	0	0	0	-2	-2	1	1	-2	-2	2	2	1	1	0	0	-1	-1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	0	0	0	0	0	0
χ₅₅	2	2	-1	-1	2	2	-2	-2	-1	-1	0	0	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	0	0	0	0	0	0	-2	-2	1	1	-2	-2	2	2	1	1	0	0	-1	-1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	0	0	0	0	0	0
χ₅₆	2	-2	2	-2	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	-2	2	-2	2	-2	2	2	-2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	2	-2	2	-2	2	2	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₅₈	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	2	-2	2	-2	2	2	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₅₉	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	-2	2	1	-1	-2	2	-2	2	1	-1	-2	2	-1	1	$- 2 i$	$- 2 i$	$2 i$	$2 i$	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0
χ₆₀	2	-2	-1	1	2	-2	2	-2	-1	1	2	-2	1	-1	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	-2	2	1	-1	-2	2	-2	2	1	-1	-2	2	-1	1	$2 i$	$2 i$	$- 2 i$	$- 2 i$	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0
χ₆₁	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	-2	2	1	-1	-2	2	-2	2	1	-1	2	-2	-1	1	0	0	0	0	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₆₂	2	-2	-1	1	2	-2	2	-2	-1	1	-2	2	1	-1	0	0	0	0	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	-2	2	1	-1	-2	2	-2	2	1	-1	2	-2	-1	1	0	0	0	0	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₆₃	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	0	0	0	0	0	0	-2	2	1	-1	-2	2	2	-2	1	-1	0	0	1	-1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	0	0	0	0	0	0
χ₆₄	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	0	0	0	0	0	0	-2	2	1	-1	-2	2	2	-2	1	-1	0	0	1	-1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	0	0	0	0	0	0
χ₆₅	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	0	0	0	0	0	0	-2	2	1	-1	-2	2	2	-2	1	-1	0	0	1	-1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	0	0	0	0	0	0
χ₆₆	2	-2	-1	1	2	-2	-2	2	-1	1	0	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	0	0	0	0	0	0	-2	2	1	-1	-2	2	2	-2	1	-1	0	0	1	-1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ⁵−ζ⁷	ζ¹³−ζ²³	0	0	0	0	0	0
χ₆₇	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	-8	-8	-8	-8	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0
χ₆₈	8	8	8	8	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	-8	-8	-8	-8	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0
χ₆₉	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0	-8	8	-8	8	1	-1	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0
χ₇₀	8	-8	8	-8	-1	1	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0	-8	8	-8	8	1	-1	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0
χ₇₁	16	16	-8	-8	-2	-2	0	0	1	1	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	-16	-16	8	8	2	2	0	0	-1	-1	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
χ₇₂	16	-16	-8	8	-2	2	0	0	1	-1	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	-16	16	8	-8	2	-2	0	0	-1	1	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 #13180439