Group #5161 — 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	2	2	4	4	1	1	2	2	2	4	4	2	2	4	4	4	8	8	2	2	4	4	4	8	8	3	3	6	6	6	12	12	3	3	6	6	6	12	12
order	1	2	4	8	8	2	4	2	2	4	8	8	2	4	3	6	12	24	24	6	12	6	6	12	24	24	6	12	4	4	4	8	8	4	4	4	4	4	8	8	4	4
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	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0
χ₆	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₇	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
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
χ₉	1	1	1	1	1	-1	-1	1	1	1	1	1	-1	-1	1	1	1	1	1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1
χ₁₀	1	1	1	-1	-1	1	-1	1	1	1	-1	-1	1	-1	1	1	1	-1	-1	1	-1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	-1	-1	-1	1	1	-1	1
χ₁₁	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	-1
χ₁₂	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	-2	-2	2	0	0	0	0
χ₁₃	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₄	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₅	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$
χ₁₆	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₁₇	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	$i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$i$
χ₁₈	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$
χ₁₉	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	$2 i$	$2 i$	$- 2 i$	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0
χ₂₀	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$2 i$	$- 2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- 2 i$	$2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₁	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$2 i$	$- 2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$- 2 i$	$2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₂	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$
χ₂₃	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₂₄	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$- i$
χ₂₅	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$
χ₂₆	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	$2 i$	$2 i$	$- 2 i$	0	0	0	0
χ₂₇	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- 2 i$	$2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$2 i$	$- 2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₈	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$- 2 i$	$2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$2 i$	$- 2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	2	2	2	2	2	-2	-2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	2	2	2	-2	-2	2	-2	2	2	2	-2	-2	2	-2	-1	-1	-1	1	1	-1	1	-1	-1	-1	1	1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	2	2	2	-2	-2	-2	2	2	2	2	-2	-2	-2	2	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	0	0	0	0	4	4	-4	0	0	0	0	-2	-2	2	0	0	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	2	2	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	-2	-2	2	-2	-2	-2	-2	2	2	-2	2	-1	-1	-1	1	1	-1	1	1	1	1	-1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	2	2	-2	-2	-2	2	-2	-2	-2	2	2	2	-2	-1	-1	-1	1	1	1	-1	1	1	1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-4	0	0	0	0	-4	-4	4	0	0	0	0	-2	-2	2	0	0	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	-4	4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	-4	4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #5161