Group #70883 — 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	2	2	2	4	4	4	6	6	6	6	8	8	8	24	1	1	2	2	2	2	2	4	4	4	6	6	6	6	8	8	8	24	1	1	2	2	2	2	2	4	4	4	6	6	6	6	8	8	8	24	1	1	2	2	2	2	2	4	4	4	6	6	6	6	8	8	8	24
order	1	2	3	4	6	8	8	12	24	24	16	16	16	16	2	6	6	2	4	4	12	4	12	8	8	12	24	24	16	16	16	16	4	12	12	4	2	2	6	4	6	8	8	12	24	24	16	16	16	16	2	6	6	2	4	4	12	4	12	8	8	12	24	24	16	16	16	16	4	12	12	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	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0
χ₆	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₇	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₈	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0
χ₉	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0
χ₁₀	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₁₁	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₁₂	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0
χ₁₃	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0
χ₁₄	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0
χ₁₅	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0
χ₁₆	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₈	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$
χ₂₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$
χ₂₁	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$
χ₂₂	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$
χ₂₃	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	0	0	$- 2 i$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	$2 i$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₂₅	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	0	0	$- 2 i$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	$2 i$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₂₆	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$2 i$	$2 i$	$- i$	$- i$	$- i$	0	0	0	0	$2 i$	$- i$	$- i$	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	-2	1	1	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$- 2 i$	$- 2 i$	$i$	$i$	$i$	0	0	0	0	$- 2 i$	$i$	$i$	0
χ₂₇	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$2 i$	$2 i$	$- i$	$- i$	$- i$	0	0	0	0	$- 2 i$	$i$	$i$	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	2	-1	-1	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$- 2 i$	$- 2 i$	$i$	$i$	$i$	0	0	0	0	$2 i$	$- i$	$- i$	0
χ₂₈	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$- 2 i$	$- 2 i$	$- i$	$i$	$i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$2 i$	$2 i$	$i$	$- i$	$- i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0
χ₂₉	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$- 2 i$	$- 2 i$	$- i$	$i$	$i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$2 i$	$2 i$	$i$	$- i$	$- i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0
χ₃₀	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0
χ₃₁	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0
χ₃₂	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0
χ₃₃	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0
χ₃₄	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	$4 i$	$4 i$	$- 2 i$	$- 4 i$	$- 2 i$	0	0	$2 i$	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	$- 4 i$	$- 4 i$	$2 i$	$4 i$	$2 i$	0	0	$- 2 i$	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$- 2 i$	0	$2 i$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$2 i$	0	$- 2 i$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₃₆	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$- 2 i$	0	$2 i$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$2 i$	0	$- 2 i$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	0	0	0	0
χ₄₂	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₄₃	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₄₄	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	-2	1	1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	-2	1	1	0
χ₄₅	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	2	-1	-1	0	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	2	-1	-1	0
χ₄₆	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₄₇	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₄₈	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0
χ₄₉	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0
χ₅₀	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0
χ₅₁	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0
χ₅₂	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	0	0	-2	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₅₄	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₅₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$
χ₅₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$
χ₅₇	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$
χ₅₈	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$
χ₅₉	2	2	2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₆₀	2	2	2	-2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	$2 i$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	0	0	$- 2 i$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₆₁	2	2	2	-2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	$2 i$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	-2	-2	-2	2	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$2 i$	$2 i$	$2 i$	$- 2 i$	$2 i$	0	0	$- 2 i$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₆₂	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	2	-1	-1	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$- 2 i$	$- 2 i$	$i$	$i$	$i$	0	0	0	0	$- 2 i$	$i$	$i$	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	-2	1	1	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$2 i$	$2 i$	$- i$	$- i$	$- i$	0	0	0	0	$2 i$	$- i$	$- i$	0
χ₆₃	2	2	-1	2	-1	2	2	-1	-1	-1	0	0	0	0	-2	1	1	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$- 2 i$	$- 2 i$	$i$	$i$	$i$	0	0	0	0	$2 i$	$- i$	$- i$	0	-2	-2	1	-2	1	-2	-2	1	1	1	0	0	0	0	2	-1	-1	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$2 i$	$2 i$	$- i$	$- i$	$- i$	0	0	0	0	$- 2 i$	$i$	$i$	0
χ₆₄	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$2 i$	$2 i$	$i$	$- i$	$- i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$- 2 i$	$- 2 i$	$- i$	$i$	$i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0
χ₆₅	2	2	-1	2	-1	-2	-2	-1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- 2 i$	$- 2 i$	$i$	$- 2 i$	$i$	$2 i$	$2 i$	$i$	$- i$	$- i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	-2	-2	1	-2	1	2	2	1	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$2 i$	$2 i$	$- i$	$2 i$	$- i$	$- 2 i$	$- 2 i$	$- i$	$i$	$i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0
χ₆₆	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0
χ₆₇	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	-2	2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0
χ₆₈	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0
χ₆₉	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	0	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0	-2	2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	$2 i$	$- 2 i$	$2 i$	0	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0
χ₇₀	4	4	-2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	$- 4 i$	$- 4 i$	$2 i$	$4 i$	$2 i$	0	0	$- 2 i$	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	$4 i$	$4 i$	$- 2 i$	$- 4 i$	$- 2 i$	0	0	$2 i$	0	0	0	0	0	0	0	0	0	0
χ₇₁	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$2 i$	0	$- 2 i$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$- 2 i$	0	$2 i$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₇₂	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$2 i$	0	$- 2 i$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	-4	4	2	0	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$- 2 i$	0	$2 i$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0

Character table — Group #70883