Group #11724349 — 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
size	1	1	2	2	4	4	4	4	8	8	8	8	18	18	18	18	18	18	18	18	18	36	36	36	36	36	36	1	1	2	2	4	4	4	4	8	8	8	8	18	18	18	18	18	18	18	18	18	36	36	36	36	36	36
order	1	2	3	6	3	3	6	6	3	3	6	6	4	8	8	12	12	24	24	24	24	2	4	6	6	12	12	2	2	6	6	6	6	6	6	6	6	6	6	4	8	8	12	12	24	24	24	24	2	4	6	6	12	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	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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₆	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₇	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0
χ₈	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₉	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₁₀	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₁₁	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₁₂	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0
χ₁₃	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0
χ₁₄	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0
χ₁₅	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0
χ₁₆	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₁₇	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1
χ₁₈	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₁₉	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₂₀	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₂₁	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₂₂	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₃	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₄	8	8	-4	-4	2	-4	-4	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	-4	2	-4	-4	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	-4	-4	-4	2	2	-4	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-4	-4	-4	2	2	-4	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	-8	-4	4	2	-4	4	-2	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	4	2	-4	4	-2	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	-8	-4	4	-4	2	-2	4	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	4	-4	2	-2	4	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₃₀	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	1	-1	-1	1	1
χ₃₁	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	1	-1	1	1	-1	-1
χ₃₂	2	2	2	2	2	2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	0	0	2	2	0	0	0	0	0	0	0	0	0	0
χ₃₃	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0
χ₃₄	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	2	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	-2	2	2	1	1	-1	-1	-1	-1	0	0	0	0	0	0
χ₃₅	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	2	0	0	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₃₆	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-2	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	2	0	0	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₃₇	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	-2	2	-2	2	-2	-2	2	2	-2	-2	2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₃₈	2	-2	2	-2	2	2	-2	-2	2	2	-2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	-2	2	-2	2	-2	-2	2	2	-2	-2	2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₃₉	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	-2	2	1	-1	-2	-2	2	2	1	1	-1	-1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0
χ₄₀	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	-2	2	1	-1	-2	-2	2	2	1	1	-1	-1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0
χ₄₁	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	-2	2	1	-1	-2	-2	2	2	1	1	-1	-1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0
χ₄₂	2	-2	-1	1	2	2	-2	-2	-1	-1	1	1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	-2	2	1	-1	-2	-2	2	2	1	1	-1	-1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0
χ₄₃	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	-4	-4	-4	-4	-1	2	2	-1	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1
χ₄₄	4	4	4	4	1	-2	-2	1	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	-4	-4	-4	-4	-1	2	2	-1	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₄₅	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	-4	-4	-4	-4	2	-1	-1	2	2	-1	2	-1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₄₆	4	4	4	4	-2	1	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	-4	-4	-4	-4	2	-1	-1	2	2	-1	2	-1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₄₇	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	-4	4	-4	4	-1	2	-2	1	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₄₈	4	-4	4	-4	1	-2	2	-1	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	-4	4	-4	4	-1	2	-2	1	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₄₉	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-4	4	-4	4	2	-1	1	-2	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₅₀	4	-4	4	-4	-2	1	-1	2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-4	4	-4	4	2	-1	1	-2	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₅₁	8	8	-4	-4	2	-4	-4	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	4	-2	4	4	-2	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	8	-4	-4	-4	2	2	-4	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	4	4	4	-2	-2	4	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	-8	-4	4	2	-4	4	-2	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	-4	-2	4	-4	2	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	-4	4	-4	2	-2	4	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	-4	4	-2	2	-4	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11724349