Group #11772905 — 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
size	1	1	2	4	4	4	4	4	4	4	8	8	8	8	8	8	12	12	12	12	16	16	16	16	24	24	24	24	36	36	48	48	48	48	48	48	48	48	48	72	144	144
order	1	2	2	3	3	4	6	6	6	6	2	6	6	6	12	12	8	8	8	8	6	6	6	12	24	24	24	24	4	4	4	4	4	12	12	12	12	12	12	4	8	8
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
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
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
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
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	$i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$	-1	$i$	$- i$
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	$- i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$	-1	$- i$	$i$
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	$i$	$- i$	1	1	$i$	$i$	$- i$	$- i$	-1	$- i$	$i$
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	$- i$	$i$	1	1	$- i$	$- i$	$i$	$i$	-1	$i$	$- i$
χ₉	2	2	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	-2	-2	0	0	0	0	0	0	0	0	0	-2	0	0
χ₁₀	2	2	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	-2	-2	0	0	0	0	0	0	0	0	0	2	0	0
χ₁₁	4	4	4	1	-2	4	1	1	-2	1	4	-2	-2	-2	1	1	2	2	2	2	1	1	-2	-2	-1	-1	-1	-1	0	0	2	0	0	-1	-1	0	0	0	0	0	0	0
χ₁₂	4	4	4	1	-2	4	1	1	-2	1	4	-2	-2	-2	1	1	-2	-2	-2	-2	1	1	-2	-2	1	1	1	1	0	0	-2	0	0	1	1	0	0	0	0	0	0	0
χ₁₃	4	4	4	1	-2	4	1	1	-2	1	-4	-2	2	2	1	1	2	2	2	2	-1	-1	2	-2	-1	-1	-1	-1	0	0	-2	0	0	1	1	0	0	0	0	0	0	0
χ₁₄	4	4	4	1	-2	4	1	1	-2	1	-4	-2	2	2	1	1	-2	-2	-2	-2	-1	-1	2	-2	1	1	1	1	0	0	2	0	0	-1	-1	0	0	0	0	0	0	0
χ₁₅	4	4	4	4	4	-4	4	4	4	4	0	4	0	0	-4	-4	0	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	4	-2	1	4	-2	-2	1	-2	4	1	1	1	-2	-2	0	0	0	0	-2	-2	1	1	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0
χ₁₇	4	4	4	-2	1	4	-2	-2	1	-2	4	1	1	1	-2	-2	0	0	0	0	-2	-2	1	1	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0
χ₁₈	4	4	4	-2	1	4	-2	-2	1	-2	-4	1	-1	-1	-2	-2	0	0	0	0	2	2	-1	1	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0
χ₁₉	4	4	4	-2	1	4	-2	-2	1	-2	-4	1	-1	-1	-2	-2	0	0	0	0	2	2	-1	1	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0
χ₂₀	4	4	4	-2	1	-4	-2	-2	1	-2	0	1	3	3	2	2	0	0	0	0	0	0	-3	-1	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₂₁	4	4	4	-2	1	-4	-2	-2	1	-2	0	1	3	3	2	2	0	0	0	0	0	0	-3	-1	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0
χ₂₂	4	4	4	-2	1	-4	-2	-2	1	-2	0	1	-3	-3	2	2	0	0	0	0	0	0	3	-1	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	0
χ₂₃	4	4	4	-2	1	-4	-2	-2	1	-2	0	1	-3	-3	2	2	0	0	0	0	0	0	3	-1	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	0
χ₂₄	4	4	-4	1	-2	0	-1	1	-2	-1	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-3	3	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₂₅	4	4	-4	1	-2	0	-1	1	-2	-1	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-3	3	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₂₆	4	4	-4	1	-2	0	-1	1	-2	-1	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-3	3	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₂₇	4	4	-4	1	-2	0	-1	1	-2	-1	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-3	3	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₂₈	4	4	-4	4	4	0	-4	4	4	-4	0	-4	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	4	4	0	-4	4	4	-4	0	-4	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	4	4	0	0	-4	-4	0	0	0	0	0	0	0	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	0	0	0	0	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	4	4	0	0	-4	-4	0	0	0	0	0	0	0	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	0	0	0	0	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	4	4	0	0	-4	-4	0	0	0	0	0	0	0	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	0	0	0	0	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	4	4	0	0	-4	-4	0	0	0	0	0	0	0	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	0	0	0	0	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	8	2	-4	-8	2	2	-4	2	0	-4	0	0	-2	-2	0	0	0	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-8	2	-4	0	-2	2	-4	-2	0	4	0	0	6	-6	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	8	8	-8	-4	2	0	4	-4	2	4	0	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	-8	-4	2	0	4	-4	2	4	0	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	0	2	-4	0	6	-2	4	-6	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	-8	0	2	-4	0	6	-2	4	-6	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	2	-4	0	-6	-2	4	6	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	2	-4	0	-6	-2	4	6	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	16	-16	0	-8	4	0	0	8	-4	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	0

Character table — Group #11772905