Group #14514774 — 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
size	1	1	2	2	2	8	15	15	20	20	20	20	20	20	24	24	30	30	30	40	40	40	40	40	40	40	48	48	48	60	60	60	60	80	96	96	120	160	160	240
order	1	2	4	8	8	4	2	2	3	6	16	16	16	16	5	10	4	8	8	12	24	24	48	48	48	48	20	40	40	16	16	16	16	2	20	20	4	6	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
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
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
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
χ₅	2	2	2	-2	-2	0	2	2	2	2	0	0	0	0	2	2	2	-2	-2	2	-2	-2	0	0	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₆	2	2	-2	0	0	0	2	2	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	-2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₇	2	2	-2	0	0	0	2	2	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	-2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	2	-2	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0	0	0	0	0	0
χ₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	2	-2	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0	0	0	0	0	0
χ₁₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	2	-2	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	0	0	0	0	0	0
χ₁₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	2	-2	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	0	0	0	0	0	0
χ₁₂	4	4	4	4	4	4	0	0	1	1	2	2	2	2	-1	-1	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	-1	-1	0	-1	1	0
χ₁₃	4	4	4	4	4	4	0	0	1	1	-2	-2	-2	-2	-1	-1	0	0	0	1	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	-2	-1	-1	0	1	1	0
χ₁₄	4	4	4	4	4	-4	0	0	1	1	2	2	2	2	-1	-1	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-2	1	1	0	1	-1	0
χ₁₅	4	4	4	4	4	-4	0	0	1	1	-2	-2	-2	-2	-1	-1	0	0	0	1	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	2	1	1	0	-1	-1	0
χ₁₆	5	5	5	5	5	5	1	1	-1	-1	1	1	1	1	0	0	1	1	1	-1	-1	-1	1	1	1	1	0	0	0	-1	-1	-1	-1	1	0	0	1	1	-1	-1
χ₁₇	5	5	5	5	5	5	1	1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	-1	-1	-1	-1	-1	-1	-1	0	0	0	1	1	1	1	-1	0	0	1	-1	-1	1
χ₁₈	5	5	5	5	5	-5	1	1	-1	-1	1	1	1	1	0	0	1	1	1	-1	-1	-1	1	1	1	1	0	0	0	-1	-1	-1	-1	-1	0	0	-1	-1	1	1
χ₁₉	5	5	5	5	5	-5	1	1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	-1	-1	-1	-1	-1	-1	-1	0	0	0	1	1	1	1	1	0	0	-1	1	1	-1
χ₂₀	6	6	6	6	6	6	-2	-2	0	0	0	0	0	0	1	1	-2	-2	-2	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	1	-2	0	0	0
χ₂₁	6	6	6	6	6	-6	-2	-2	0	0	0	0	0	0	1	1	-2	-2	-2	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	-1	-1	2	0	0	0
χ₂₂	6	6	6	-6	-6	0	-2	-2	0	0	0	0	0	0	1	1	-2	2	2	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0
χ₂₃	6	6	6	-6	-6	0	-2	-2	0	0	0	0	0	0	1	1	-2	2	2	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0
χ₂₄	8	8	8	-8	-8	0	0	0	2	2	0	0	0	0	-2	-2	0	0	0	2	-2	-2	0	0	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	-8	0	0	0	0	0	2	2	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	0	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	8	-8	0	0	0	0	0	2	2	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	0	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	0	2	-2	−2ζ⁹−2ζ³¹−2ζ⁴¹−2ζ⁴⁷−2ζ⁵⁷−2ζ⁶³−2ζ⁷³−2ζ⁷⁹	2ζ⁹+2ζ³¹+2ζ⁴¹+2ζ⁴⁷+2ζ⁵⁷+2ζ⁶³+2ζ⁷³+2ζ⁷⁹	−2ζ¹¹−2ζ¹³−2ζ²⁷−2ζ²⁹−2ζ⁴³−2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	2ζ¹¹+2ζ¹³+2ζ²⁷+2ζ²⁹+2ζ⁴³+2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	-2	2	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	0	2	-2	2ζ⁹+2ζ³¹+2ζ⁴¹+2ζ⁴⁷+2ζ⁵⁷+2ζ⁶³+2ζ⁷³+2ζ⁷⁹	−2ζ⁹−2ζ³¹−2ζ⁴¹−2ζ⁴⁷−2ζ⁵⁷−2ζ⁶³−2ζ⁷³−2ζ⁷⁹	2ζ¹¹+2ζ¹³+2ζ²⁷+2ζ²⁹+2ζ⁴³+2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	−2ζ¹¹−2ζ¹³−2ζ²⁷−2ζ²⁹−2ζ⁴³−2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	-2	2	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	0	2	-2	−2ζ¹¹−2ζ¹³−2ζ²⁷−2ζ²⁹−2ζ⁴³−2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	2ζ¹¹+2ζ¹³+2ζ²⁷+2ζ²⁹+2ζ⁴³+2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ⁹+2ζ³¹+2ζ⁴¹+2ζ⁴⁷+2ζ⁵⁷+2ζ⁶³+2ζ⁷³+2ζ⁷⁹	−2ζ⁹−2ζ³¹−2ζ⁴¹−2ζ⁴⁷−2ζ⁵⁷−2ζ⁶³−2ζ⁷³−2ζ⁷⁹	-2	2	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	0	2	-2	2ζ¹¹+2ζ¹³+2ζ²⁷+2ζ²⁹+2ζ⁴³+2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	−2ζ¹¹−2ζ¹³−2ζ²⁷−2ζ²⁹−2ζ⁴³−2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ⁹−2ζ³¹−2ζ⁴¹−2ζ⁴⁷−2ζ⁵⁷−2ζ⁶³−2ζ⁷³−2ζ⁷⁹	2ζ⁹+2ζ³¹+2ζ⁴¹+2ζ⁴⁷+2ζ⁵⁷+2ζ⁶³+2ζ⁷³+2ζ⁷⁹	-2	2	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	10	10	10	-10	-10	0	2	2	-2	-2	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
χ₃₂	10	10	-10	0	0	0	2	2	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₃₃	10	10	-10	0	0	0	2	2	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₃₄	10	-10	0	$5 \sqrt{2}$	$- 5 \sqrt{2}$	0	-2	2	-2	2	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0	0	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0	0	0	0	0	0
χ₃₅	10	-10	0	$5 \sqrt{2}$	$- 5 \sqrt{2}$	0	-2	2	-2	2	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0	0	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0	0	0	0	0	0
χ₃₆	10	-10	0	$- 5 \sqrt{2}$	$5 \sqrt{2}$	0	-2	2	-2	2	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	0	0	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	0	0	0	0	0	0
χ₃₇	10	-10	0	$- 5 \sqrt{2}$	$5 \sqrt{2}$	0	-2	2	-2	2	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	0	0	0	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	0	0	0	0	0	0	0
χ₃₈	12	12	-12	0	0	0	-4	-4	0	0	0	0	0	0	2	2	4	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	-12	0	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	4	-4	0	0	0	0	0	0	2	-2	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	-12	0	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	4	-4	0	0	0	0	0	0	2	-2	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14514774