Group #13136658 — 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
size	1	1	2	2	2	2	2	4	4	4	9	9	12	12	12	12	12	12	12	12	12	12	18	18	18	18	18	18	18	18	18	18	18	18	18	24	24	24	36	36	36	36	36	36	36	36	36	36	36	72	72	72	72	72	72	72	72	144	144
order	1	2	3	4	6	8	8	12	24	24	2	2	3	3	6	6	12	12	24	24	24	24	4	6	6	8	8	16	16	16	16	16	16	16	16	12	24	24	12	24	24	48	48	48	48	48	48	48	48	2	2	4	4	12	12	12	12	6	6
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
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
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
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
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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	$- i$	$i$	$- i$	$- i$	$i$	$i$	-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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	$i$	$- i$	$i$	$i$	$- i$	$- i$	-1	1
χ₉	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	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	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	2	2	-2	-2	0	0	0	0	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	2	2	-2	-2	0	0	0	0	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	-2	0	0	-2	-2	2	2	2	2	-2	-2	0	0	0	0	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	2	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	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	-2	0	0	-2	-2	2	2	2	2	-2	-2	0	0	0	0	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	2	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	0	0	0	0
χ₁₅	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₁₇	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	$\sqrt{2}$	$- \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	$\sqrt{2}$	$- \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	4	4	4	4	4	0	0	1	-2	1	-2	1	1	1	1	1	1	0	0	0	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	4	4	4	4	4	0	0	1	-2	1	-2	1	1	1	1	1	1	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	4	4	4	4	4	0	0	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-1	-1
χ₂₆	4	4	4	4	4	4	4	4	4	4	0	0	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	1	1
χ₂₇	4	4	4	4	4	-4	-4	4	-4	-4	0	0	1	-2	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	0	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	-2	2	2	0	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	4	-4	-4	4	-4	-4	0	0	1	-2	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	0	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	-2	2	2	0	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	4	-4	-4	4	-4	-4	0	0	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1
χ₃₀	4	4	4	4	4	-4	-4	4	-4	-4	0	0	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1
χ₃₁	4	4	4	-4	4	0	0	-4	0	0	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	0	0	0	0	0	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁰−2ζ²⁶	2ζ¹⁰+2ζ²⁶	2ζ¹⁰+2ζ²⁶	2	0	0	0	0	0	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	-4	4	0	0	-4	0	0	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	0	0	0	0	0	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁰+2ζ²⁶	2ζ¹⁰+2ζ²⁶	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁰−2ζ²⁶	2	0	0	0	0	0	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	4	-4	4	0	0	-4	0	0	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	0	0	0	0	0	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁰−2ζ²⁶	2ζ¹⁰+2ζ²⁶	2ζ¹⁰+2ζ²⁶	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	2	0	0	0	0	0	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	4	-4	4	0	0	-4	0	0	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	0	0	0	0	0	2ζ¹⁰+2ζ²⁶	2ζ¹⁰+2ζ²⁶	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	2	0	0	0	0	0	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	0	0	0	0	0	−2ζ²⁵−2ζ⁴¹	2ζ²⁵+2ζ⁴¹	2ζ¹³+2ζ²⁹	−2ζ¹³−2ζ²⁹	−2ζ³¹−2ζ⁴⁷	2ζ³¹+2ζ⁴⁷	2ζ¹¹+2ζ⁴³	−2ζ¹¹−2ζ⁴³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	ζ²⁵+ζ⁴¹	−ζ²⁵−ζ⁴¹	−ζ¹³−ζ²⁹	ζ¹³+ζ²⁹	ζ³¹+ζ⁴⁷	−ζ³¹−ζ⁴⁷	−ζ¹¹−ζ⁴³	ζ¹¹+ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	0	0	0	0	0	2ζ²⁵+2ζ⁴¹	−2ζ²⁵−2ζ⁴¹	−2ζ¹³−2ζ²⁹	2ζ¹³+2ζ²⁹	2ζ³¹+2ζ⁴⁷	−2ζ³¹−2ζ⁴⁷	−2ζ¹¹−2ζ⁴³	2ζ¹¹+2ζ⁴³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	−ζ²⁵−ζ⁴¹	ζ²⁵+ζ⁴¹	ζ¹³+ζ²⁹	−ζ¹³−ζ²⁹	−ζ³¹−ζ⁴⁷	ζ³¹+ζ⁴⁷	ζ¹¹+ζ⁴³	−ζ¹¹−ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	0	0	0	0	0	−2ζ³¹−2ζ⁴⁷	2ζ³¹+2ζ⁴⁷	2ζ¹¹+2ζ⁴³	−2ζ¹¹−2ζ⁴³	−2ζ²⁵−2ζ⁴¹	2ζ²⁵+2ζ⁴¹	2ζ¹³+2ζ²⁹	−2ζ¹³−2ζ²⁹	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	ζ³¹+ζ⁴⁷	−ζ³¹−ζ⁴⁷	−ζ¹¹−ζ⁴³	ζ¹¹+ζ⁴³	ζ²⁵+ζ⁴¹	−ζ²⁵−ζ⁴¹	−ζ¹³−ζ²⁹	ζ¹³+ζ²⁹	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	0	0	0	0	0	2ζ³¹+2ζ⁴⁷	−2ζ³¹−2ζ⁴⁷	−2ζ¹¹−2ζ⁴³	2ζ¹¹+2ζ⁴³	2ζ²⁵+2ζ⁴¹	−2ζ²⁵−2ζ⁴¹	−2ζ¹³−2ζ²⁹	2ζ¹³+2ζ²⁹	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	−ζ³¹−ζ⁴⁷	ζ³¹+ζ⁴⁷	ζ¹¹+ζ⁴³	−ζ¹¹−ζ⁴³	−ζ²⁵−ζ⁴¹	ζ²⁵+ζ⁴¹	ζ¹³+ζ²⁹	−ζ¹³−ζ²⁹	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	0	0	0	0	0	−2ζ¹³−2ζ²⁹	2ζ¹³+2ζ²⁹	−2ζ²⁵−2ζ⁴¹	2ζ²⁵+2ζ⁴¹	−2ζ¹¹−2ζ⁴³	2ζ¹¹+2ζ⁴³	−2ζ³¹−2ζ⁴⁷	2ζ³¹+2ζ⁴⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	ζ¹³+ζ²⁹	−ζ¹³−ζ²⁹	ζ²⁵+ζ⁴¹	−ζ²⁵−ζ⁴¹	ζ¹¹+ζ⁴³	−ζ¹¹−ζ⁴³	ζ³¹+ζ⁴⁷	−ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	0	0	0	0	0	2ζ¹³+2ζ²⁹	−2ζ¹³−2ζ²⁹	2ζ²⁵+2ζ⁴¹	−2ζ²⁵−2ζ⁴¹	2ζ¹¹+2ζ⁴³	−2ζ¹¹−2ζ⁴³	2ζ³¹+2ζ⁴⁷	−2ζ³¹−2ζ⁴⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	−ζ¹³−ζ²⁹	ζ¹³+ζ²⁹	−ζ²⁵−ζ⁴¹	ζ²⁵+ζ⁴¹	−ζ¹¹−ζ⁴³	ζ¹¹+ζ⁴³	−ζ³¹−ζ⁴⁷	ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	0	0	0	0	0	2ζ¹¹+2ζ⁴³	−2ζ¹¹−2ζ⁴³	2ζ³¹+2ζ⁴⁷	−2ζ³¹−2ζ⁴⁷	2ζ¹³+2ζ²⁹	−2ζ¹³−2ζ²⁹	2ζ²⁵+2ζ⁴¹	−2ζ²⁵−2ζ⁴¹	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	−ζ¹¹−ζ⁴³	ζ¹¹+ζ⁴³	−ζ³¹−ζ⁴⁷	ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹	ζ¹³+ζ²⁹	−ζ²⁵−ζ⁴¹	ζ²⁵+ζ⁴¹	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	−ζ¹⁰−2ζ¹⁴−ζ²⁶−2ζ⁴⁶	2ζ¹⁰+ζ¹⁴+2ζ²⁶+ζ⁴⁶	ζ¹⁰+2ζ¹⁴+ζ²⁶+2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴−2ζ²⁶−ζ⁴⁶	0	0	0	0	0	−2ζ¹¹−2ζ⁴³	2ζ¹¹+2ζ⁴³	−2ζ³¹−2ζ⁴⁷	2ζ³¹+2ζ⁴⁷	−2ζ¹³−2ζ²⁹	2ζ¹³+2ζ²⁹	−2ζ²⁵−2ζ⁴¹	2ζ²⁵+2ζ⁴¹	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	ζ¹¹+ζ⁴³	−ζ¹¹−ζ⁴³	ζ³¹+ζ⁴⁷	−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹	−ζ¹³−ζ²⁹	ζ²⁵+ζ⁴¹	−ζ²⁵−ζ⁴¹	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-3	6	-3	6	6	-3	-3	-3	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₄₄	6	6	-3	6	-3	6	6	-3	-3	-3	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₄₅	6	6	-3	6	-3	6	6	-3	-3	-3	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	-1	0	0
χ₄₆	6	6	-3	6	-3	6	6	-3	-3	-3	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	1	1	0	0
χ₄₇	6	6	-3	6	-3	-6	-6	-3	3	3	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0
χ₄₈	6	6	-3	6	-3	-6	-6	-3	3	3	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0
χ₄₉	6	6	-3	6	-3	-6	-6	-3	3	3	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	2	2	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₅₀	6	6	-3	6	-3	-6	-6	-3	3	3	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	2	2	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₅₁	8	8	8	-8	8	0	0	-8	0	0	0	0	-4	2	-4	2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	-8	8	0	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	-4	2	4	-2	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	-8	8	0	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	-4	2	4	-2	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	12	12	-6	-12	-6	0	0	6	0	0	4	4	0	0	0	0	0	0	0	0	0	0	-4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	12	12	-6	-12	-6	0	0	6	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	12	-12	-6	0	6	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	4	-4	0	0	0	0	0	0	0	0	0	0	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	-12	-6	0	6	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-4	4	0	0	0	0	0	0	0	0	0	0	0	2	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	12	-12	-6	0	6	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	4	-4	0	0	0	0	0	0	0	0	0	0	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	12	-12	-6	0	6	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-4	4	0	0	0	0	0	0	0	0	0	0	0	2	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13136658