Group #11711229 — 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
size	1	1	2	2	2	3	3	6	6	6	6	6	6	6	12	12	12	12	12	12	32	32	32	32	32	32	32	32	48	48	48	48	48	48	48	48
order	1	2	4	8	8	2	2	4	4	4	4	4	8	8	4	4	8	8	8	8	3	6	12	12	24	24	24	24	4	4	4	4	8	8	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₆	2	2	2	-2	-2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0
χ₇	2	2	-2	0	0	2	2	-2	-2	-2	2	2	0	0	-2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	-2	0	0	2	2	-2	-2	-2	2	2	0	0	-2	2	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₉	2	2	-2	0	0	2	2	-2	-2	-2	2	2	0	0	-2	2	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₀	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₁	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₂	3	3	3	3	3	-1	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	-1	1	1	1	1	$- 1 + 2 i$	$- 1 - 2 i$	0	0	0	0	0	0	0	0	1	1	-1	-1	$i$	$- i$	$i$	$- i$
χ₁₃	3	3	3	3	3	-1	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	-1	1	1	1	1	$- 1 + 2 i$	$- 1 - 2 i$	0	0	0	0	0	0	0	0	-1	-1	1	1	$- i$	$i$	$- i$	$i$
χ₁₄	3	3	3	3	3	-1	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	-1	1	1	1	1	$- 1 - 2 i$	$- 1 + 2 i$	0	0	0	0	0	0	0	0	1	1	-1	-1	$- i$	$i$	$- i$	$i$
χ₁₅	3	3	3	3	3	-1	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	-1	1	1	1	1	$- 1 - 2 i$	$- 1 + 2 i$	0	0	0	0	0	0	0	0	-1	-1	1	1	$i$	$- i$	$i$	$- i$
χ₁₆	3	3	3	-3	-3	3	3	-1	-1	3	-1	-1	-3	-3	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1
χ₁₇	3	3	3	-3	-3	3	3	-1	-1	3	-1	-1	-3	-3	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1
χ₁₈	3	3	3	-3	-3	-1	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	$- 1 + 2 i$	$- 1 - 2 i$	1	1	1	1	-1	-1	$1 - 2 i$	$1 + 2 i$	0	0	0	0	0	0	0	0	1	-1	-1	1	$i$	$- i$	$- i$	$i$
χ₁₉	3	3	3	-3	-3	-1	-1	$- 1 + 2 i$	$- 1 - 2 i$	-1	$- 1 + 2 i$	$- 1 - 2 i$	1	1	1	1	-1	-1	$1 - 2 i$	$1 + 2 i$	0	0	0	0	0	0	0	0	-1	1	1	-1	$- i$	$i$	$i$	$- i$
χ₂₀	3	3	3	-3	-3	-1	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	$- 1 - 2 i$	$- 1 + 2 i$	1	1	1	1	-1	-1	$1 + 2 i$	$1 - 2 i$	0	0	0	0	0	0	0	0	1	-1	-1	1	$- i$	$i$	$i$	$- i$
χ₂₁	3	3	3	-3	-3	-1	-1	$- 1 - 2 i$	$- 1 + 2 i$	-1	$- 1 - 2 i$	$- 1 + 2 i$	1	1	1	1	-1	-1	$1 + 2 i$	$1 - 2 i$	0	0	0	0	0	0	0	0	-1	1	1	-1	$i$	$- i$	$- i$	$i$
χ₂₂	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	0	0	0	0
χ₂₃	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	0	0	0	0
χ₂₄	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₅	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	0	0	0	0
χ₂₆	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	0	0	0	0
χ₂₇	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	6	-2	-2	2	2	-2	2	2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	-6	-6	-2	-2	2	2	-2	2	2	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	-6	0	0	6	6	2	2	-6	-2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	-6	0	0	-2	-2	-2	-2	2	2	2	0	0	2	-2	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	-6	0	0	-2	-2	-2	-2	2	2	2	0	0	2	-2	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	-6	0	0	-2	-2	$2 + 4 i$	$2 - 4 i$	2	$- 2 - 4 i$	$- 2 + 4 i$	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-6	0	0	-2	-2	$2 - 4 i$	$2 + 4 i$	2	$- 2 + 4 i$	$- 2 - 4 i$	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	12	-12	0	$6 \sqrt{2}$	$- 6 \sqrt{2}$	-4	4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-12	0	$- 6 \sqrt{2}$	$6 \sqrt{2}$	-4	4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	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 #11711229