Group #150180 — 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
size	1	1	1	1	2	2	4	4	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	16	1	1	1	1	2	2	4	4	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	16
order	1	2	2	2	2	2	4	4	2	2	4	4	4	4	8	8	8	8	2	2	4	4	4	4	8	8	8	8	2	2	2	2	2	2	4	4	2	2	4	4	4	4	8	8	8	8	2	2	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	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
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
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
χ₅	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
χ₆	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
χ₇	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₈	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₉	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	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
χ₁₀	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	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
χ₁₁	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0
χ₁₂	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0
χ₁₃	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0
χ₁₄	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0
χ₁₅	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$
χ₁₆	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$
χ₁₇	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$
χ₁₈	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$
χ₁₉	4	4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0
χ₂₃	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0
χ₂₄	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	8	-8	-8	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	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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	-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	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	1	1
χ₃₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1
χ₃₃	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
χ₃₄	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
χ₃₅	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₃₆	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₃₇	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	-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
χ₃₈	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	-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
χ₃₉	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0
χ₄₀	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0
χ₄₁	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0
χ₄₂	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0
χ₄₃	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	-2	2	-2	2	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$
χ₄₄	2	-2	2	-2	2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	-2	2	-2	2	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$
χ₄₅	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-2	2	-2	2	-2	2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$
χ₄₆	2	-2	2	-2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-2	2	-2	2	-2	2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$
χ₄₇	4	4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	-4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0
χ₅₁	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	-4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0
χ₅₂	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	0	0	0	0	0	0	-2	2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	0	0	0	0	0	0	-2	2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	0	0	0	0	0	0	2	-2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	-4	-4	4	0	0	0	0	0	0	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	0	0	0	0	0	0	2	-2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	8	8	-8	-8	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	8	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 #150180