Group #13167392 — 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	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄
size	1	1	2	2	2	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	18	18	18	18	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	72	72	1	1	2	2	2	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	18	18	18	18	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	72	72
order	1	2	3	4	6	3	3	6	6	12	12	12	3	3	6	6	12	12	12	12	12	2	4	12	12	2	2	6	8	8	8	8	24	24	24	24	24	24	24	24	6	6	2	2	6	4	6	6	6	6	6	12	12	12	6	6	6	6	12	12	12	12	12	2	4	12	12	2	2	6	8	8	8	8	24	24	24	24	24	24	24	24	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	1	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	-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	-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	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	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1	-1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	-1	1	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	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	1	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1	-1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	-1	1	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	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	1	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1	1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-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	1	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1	1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-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	0	0	-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	2	2	2	2	2	2	2	-2	-2	-2	-2	0	0	-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	-2	-2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	0	0	-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	2	2	-2	-2	-2	-2	-2	-2	2	2	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0
χ₁₂	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0
χ₁₃	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₄	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₅	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$2 i$	$- 2 i$	0	0	0	0	$- i$	$- i$	$i$	$i$	0	0	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$2 i$	$- 2 i$	0	0	0	0	$- i$	$- i$	$i$	$i$	0	0
χ₁₆	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$- 2 i$	$2 i$	0	0	0	0	$i$	$i$	$- i$	$- i$	0	0	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$- 2 i$	$2 i$	0	0	0	0	$i$	$i$	$- i$	$- i$	0	0
χ₁₇	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₈	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₁₉	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1
χ₂₂	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1
χ₂₃	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0
χ₂₄	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0
χ₂₅	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1
χ₂₆	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1
χ₂₇	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	0	0	0	0	0	0	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	0	0	0	0	0	0
χ₂₈	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	0	0	0	0	0	0	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	0	0	0	0	0	0
χ₂₉	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0
χ₃₀	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0
χ₃₁	4	-4	4	0	-4	4	4	-4	-4	0	0	0	4	4	-4	-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	4	-4	4	0	-4	4	4	-4	-4	0	0	0	4	4	-4	-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
χ₃₂	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	-4	8	-4	2	-4	2	-4	-4	2	2	-1	2	-1	2	-4	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	8	-4	2	-4	2	-4	-4	2	2	-1	2	-1	2	-4	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-4	8	-4	-4	2	-4	2	-4	-4	-4	2	-1	2	-1	2	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	8	-4	-4	2	-4	2	-4	-4	-4	2	-1	2	-1	2	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	8	-4	-8	-4	2	-4	2	-4	4	-2	-2	-1	2	-1	2	4	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	-8	-4	2	-4	2	-4	4	-2	-2	-1	2	-1	2	4	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	-4	-8	-4	-4	2	-4	2	4	4	4	2	-1	2	-1	-2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	-8	-4	-4	2	-4	2	4	4	4	2	-1	2	-1	-2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	8	0	-8	-4	2	4	-2	0	0	0	-4	2	4	-2	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	8	-8	8	0	-8	-4	2	4	-2	0	0	0	-4	2	4	-2	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
χ₃₉	8	-8	-4	0	4	2	-4	-2	4	0	$6 i$	$- 6 i$	-1	2	1	-2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	2	-4	-2	4	0	$6 i$	$- 6 i$	-1	2	1	-2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	-4	0	4	2	-4	-2	4	0	$- 6 i$	$6 i$	-1	2	1	-2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	2	-4	-2	4	0	$- 6 i$	$6 i$	-1	2	1	-2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₄₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₄₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1
χ₄₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1
χ₄₇	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	-1	1	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	1	-1	1	-1	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	1
χ₄₈	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	-1	1	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	1	-1	1	-1	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	1
χ₄₉	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1	1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	1	1	-1	-1	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	-1
χ₅₀	1	1	1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1	1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	1	1	-1	-1	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	-1
χ₅₁	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	-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	-2	-2	-2	-2	-2	-2	-2	2	2	2	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	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	-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	-2	-2	2	2	2	2	2	2	-2	-2	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0	-2	-2	1	-2	1	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	1	1	1	1	-2	-2	1	1	0	0	1	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0
χ₅₄	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	0	0	-1	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0	-2	-2	1	-2	1	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	1	1	1	1	-2	-2	1	1	0	0	1	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0
χ₅₅	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	-2	-2	1	-2	1	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	1	1	1	1	2	2	-1	-1	0	0	-1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₅₆	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	1	1	0	0	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	-2	-2	1	-2	1	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	1	1	1	1	2	2	-1	-1	0	0	-1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₅₇	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$2 i$	$- 2 i$	0	0	0	0	$- i$	$- i$	$i$	$i$	0	0	-2	-2	1	2	1	-2	-2	-2	-2	-1	2	2	1	1	1	1	2	-1	-1	-1	-1	-2	2	-1	-1	0	0	1	0	0	$- 2 i$	$2 i$	0	0	0	0	$i$	$i$	$- i$	$- i$	0	0
χ₅₈	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	2	-2	1	1	0	0	-1	0	0	$- 2 i$	$2 i$	0	0	0	0	$i$	$i$	$- i$	$- i$	0	0	-2	-2	1	2	1	-2	-2	-2	-2	-1	2	2	1	1	1	1	2	-1	-1	-1	-1	-2	2	-1	-1	0	0	1	0	0	$2 i$	$- 2 i$	0	0	0	0	$- i$	$- i$	$i$	$i$	0	0
χ₅₉	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-2	-2	1	2	1	-2	-2	-2	-2	-1	2	2	1	1	1	1	2	-1	-1	-1	-1	2	-2	1	1	0	0	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₆₀	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-1	-1	-1	-1	-2	1	1	1	1	-2	2	-1	-1	0	0	1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-2	-2	1	2	1	-2	-2	-2	-2	-1	2	2	1	1	1	1	2	-1	-1	-1	-1	2	-2	1	1	0	0	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₆₁	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	-4	-4	-4	-4	-4	-1	2	-1	2	-4	-1	-1	-1	2	-1	2	2	-1	-1	2	2	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0
χ₆₂	4	4	4	4	4	1	-2	1	-2	4	1	1	1	-2	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0	-4	-4	-4	-4	-4	-1	2	-1	2	-4	-1	-1	-1	2	-1	2	2	-1	-1	2	2	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0
χ₆₃	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-4	-4	-4	-4	-4	2	-1	2	-1	-4	2	2	2	-1	2	-1	-1	2	2	-1	-1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1
χ₆₄	4	4	4	4	4	-2	1	-2	1	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-4	-4	-4	-4	-4	2	-1	2	-1	-4	2	2	2	-1	2	-1	-1	2	2	-1	-1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1
χ₆₅	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	-4	-4	-4	4	-4	-1	2	-1	2	4	1	1	-1	2	-1	2	-2	1	1	-2	-2	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0
χ₆₆	4	4	4	-4	4	1	-2	1	-2	-4	-1	-1	1	-2	1	-2	2	-1	-1	2	2	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	-4	-4	-4	4	-4	-1	2	-1	2	4	1	1	-1	2	-1	2	-2	1	1	-2	-2	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0
χ₆₇	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-4	-4	-4	4	-4	2	-1	2	-1	4	-2	-2	2	-1	2	-1	1	-2	-2	1	1	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1
χ₆₈	4	4	4	-4	4	-2	1	-2	1	-4	2	2	-2	1	-2	1	-1	2	2	-1	-1	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-4	-4	-4	4	-4	2	-1	2	-1	4	-2	-2	2	-1	2	-1	1	-2	-2	1	1	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1
χ₆₉	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	0	0	0	0	0	0	-4	4	-4	0	4	-1	2	1	-2	0	$- 3 i$	$3 i$	-1	2	1	-2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	0	0	0	0	0	0
χ₇₀	4	-4	4	0	-4	1	-2	-1	2	0	$3 i$	$- 3 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	0	0	0	0	0	0	-4	4	-4	0	4	-1	2	1	-2	0	$- 3 i$	$3 i$	-1	2	1	-2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	0	0	0	0	0	0
χ₇₁	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0	-4	4	-4	0	4	-1	2	1	-2	0	$3 i$	$- 3 i$	-1	2	1	-2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0
χ₇₂	4	-4	4	0	-4	1	-2	-1	2	0	$- 3 i$	$3 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0	-4	4	-4	0	4	-1	2	1	-2	0	$3 i$	$- 3 i$	-1	2	1	-2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0
χ₇₃	4	-4	4	0	-4	4	4	-4	-4	0	0	0	4	4	-4	-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	-4	4	-4	0	4	-4	-4	4	4	0	0	0	-4	-4	4	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
χ₇₄	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	-2	-4	-4	4	4	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	4	-4	-2	0	2	4	4	-4	-4	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	-2	-4	-4	4	4	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	8	8	-4	8	-4	2	-4	2	-4	-4	2	2	-1	2	-1	2	-4	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	-8	4	-2	4	-2	4	4	-2	-2	1	-2	1	-2	4	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	8	8	-4	8	-4	-4	2	-4	2	-4	-4	-4	2	-1	2	-1	2	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	-8	4	4	-2	4	-2	4	4	4	-2	1	-2	1	-2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	8	-4	-8	-4	2	-4	2	-4	4	-2	-2	-1	2	-1	2	4	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	8	4	-2	4	-2	4	-4	2	2	1	-2	1	-2	-4	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	8	8	-4	-8	-4	-4	2	-4	2	4	4	4	2	-1	2	-1	-2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	8	4	4	-2	4	-2	-4	-4	-4	-2	1	-2	1	2	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	8	-8	8	0	-8	-4	2	4	-2	0	0	0	-4	2	4	-2	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	-8	8	-8	0	8	4	-2	-4	2	0	0	0	4	-2	-4	2	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
χ₈₁	8	-8	-4	0	4	2	-4	-2	4	0	$6 i$	$- 6 i$	-1	2	1	-2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	-2	4	2	-4	0	$- 6 i$	$6 i$	1	-2	-1	2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₂	8	-8	-4	0	4	2	-4	-2	4	0	$- 6 i$	$6 i$	-1	2	1	-2	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	-2	4	2	-4	0	$6 i$	$- 6 i$	1	-2	-1	2	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₃	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	4	-2	-4	2	0	0	0	-2	1	2	-1	0	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₄	8	-8	-4	0	4	-4	2	4	-2	0	0	0	2	-1	-2	1	0	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	4	-2	-4	2	0	0	0	-2	1	2	-1	0	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13167392