Group #13146644 — 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
size	1	1	2	2	2	4	4	4	4	12	12	12	12	18	18	18	18	18	18	18	18	18	18	24	24	36	36	36	36	36	36	36	36	36	36	36	36	36	48	48	72	72	72	72	72	72	72	72	144	144
order	1	2	3	4	6	2	6	6	12	3	3	6	6	2	4	8	8	12	12	24	24	24	24	12	12	4	6	8	8	8	12	12	24	24	24	24	24	24	6	6	2	4	8	8	24	24	24	24	6	12
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
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
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
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
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	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	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	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-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	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	1	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	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	-1	-1	1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	0	0	-2	-2	0	0	0	0	2	2	-2	-2	0	0	0	-2	-2	0	0	0	0	0	0	2	2	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	0	0	-2	-2	0	0	0	0	2	2	2	-2	0	0	0	2	2	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	0	-2	2	2	2	2	2	-2	0	0	-2	-2	0	0	0	0	-2	-2	0	2	0	$2 i$	$- 2 i$	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	0	-2	2	2	2	2	2	-2	0	0	-2	-2	0	0	0	0	-2	-2	0	2	0	$- 2 i$	$2 i$	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	0	-2	2	2	2	2	-2	2	2	2	2	2	2	2	2	2	-2	-2	0	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	0	-2	2	2	2	2	-2	2	-2	-2	2	2	-2	-2	-2	-2	-2	-2	0	-2	2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₅	4	4	4	4	4	4	4	4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-2	0	2	0	2	0	0	-1	-1	0	-1
χ₁₆	4	4	4	4	4	4	4	4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-2	0	-2	0	-2	0	0	1	1	0	1
χ₁₇	4	4	4	4	4	4	4	4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	2	0	2	0	-1	-1	0	0	-1	0
χ₁₈	4	4	4	4	4	4	4	4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	-2	0	-2	0	1	1	0	0	1	0
χ₁₉	4	4	4	4	4	-4	-4	-4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	2	0	2	0	-2	0	0	1	1	0	-1
χ₂₀	4	4	4	4	4	-4	-4	-4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	2	0	-2	0	2	0	0	-1	-1	0	1
χ₂₁	4	4	4	4	4	-4	-4	-4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	2	0	-2	0	1	1	0	0	-1	0
χ₂₂	4	4	4	4	4	-4	-4	-4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-2	0	2	0	-1	-1	0	0	1	0
χ₂₃	4	-4	4	0	-4	0	0	0	0	4	4	-4	-4	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	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	0
χ₂₄	4	-4	4	0	-4	0	0	0	0	4	4	-4	-4	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	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	0
χ₂₅	6	6	-3	6	-3	6	-3	-3	-3	0	0	0	0	2	2	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	2	-1	0	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-3	6	-3	6	-3	-3	-3	0	0	0	0	2	2	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	2	-1	0	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	-3	6	-3	6	-3	-3	-3	0	0	0	0	-2	-2	2	2	1	1	-1	-1	-1	-1	0	0	-2	1	2	2	2	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-3	6	-3	6	-3	-3	-3	0	0	0	0	-2	-2	-2	-2	1	1	1	1	1	1	0	0	-2	1	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	-3	6	-3	-6	3	3	-3	0	0	0	0	2	2	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	-2	-1	0	0	0	1	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	-3	6	-3	-6	3	3	-3	0	0	0	0	2	2	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	-2	-1	0	0	0	1	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	-3	6	-3	-6	3	3	-3	0	0	0	0	-2	-2	2	2	1	1	-1	-1	-1	-1	0	0	2	1	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	-3	6	-3	-6	3	3	-3	0	0	0	0	-2	-2	-2	-2	1	1	1	1	1	1	0	0	2	1	-2	2	2	-1	-1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	-3	-6	-3	0	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	3	0	0	0	0	2	-2	2	2	1	1	-1	-1	-1	-1	0	0	0	-1	-2	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-3	-6	-3	0	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	3	0	0	0	0	2	-2	-2	-2	1	1	1	1	1	1	0	0	0	-1	2	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-3	-6	-3	0	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	3	0	0	0	0	-2	2	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	1	0	$2 i$	$- 2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	-6	-3	0	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	3	0	0	0	0	-2	2	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	1	0	$- 2 i$	$2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	-6	-3	0	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	3	0	0	0	0	2	-2	2	2	1	1	-1	-1	-1	-1	0	0	0	-1	-2	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	-6	-3	0	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	3	0	0	0	0	2	-2	-2	-2	1	1	1	1	1	1	0	0	0	-1	2	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	-6	-3	0	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	3	0	0	0	0	-2	2	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	1	0	$- 2 i$	$2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-3	-6	-3	0	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	3	0	0	0	0	-2	2	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	1	0	$2 i$	$- 2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	8	-8	8	0	0	0	-8	2	-4	-4	2	0	0	0	0	0	0	0	0	0	0	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
χ₄₂	8	8	8	-8	8	0	0	0	-8	-4	2	2	-4	0	0	0	0	0	0	0	0	0	0	-2	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
χ₄₃	8	-8	8	0	-8	0	0	0	0	2	-4	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	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0
χ₄₄	8	-8	8	0	-8	0	0	0	0	2	-4	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	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0
χ₄₅	8	-8	8	0	-8	0	0	0	0	-4	2	-2	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	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0
χ₄₆	8	-8	8	0	-8	0	0	0	0	-4	2	-2	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	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0
χ₄₇	12	-12	-6	0	6	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	2ζ⁵+2ζ⁷	2ζ¹³+2ζ²³	−2ζ⁵−2ζ⁷	−2ζ¹³−2ζ²³	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
χ₄₈	12	-12	-6	0	6	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	2ζ¹³+2ζ²³	2ζ⁵+2ζ⁷	−2ζ¹³−2ζ²³	−2ζ⁵−2ζ⁷	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
χ₄₉	12	-12	-6	0	6	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	−2ζ⁵−2ζ⁷	−2ζ¹³−2ζ²³	2ζ⁵+2ζ⁷	2ζ¹³+2ζ²³	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
χ₅₀	12	-12	-6	0	6	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	−2ζ¹³−2ζ²³	−2ζ⁵−2ζ⁷	2ζ¹³+2ζ²³	2ζ⁵+2ζ⁷	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 #13146644