Group #11923445 — 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
size	1	1	3	3	6	6	6	6	6	6	6	8	8	8	8	12	18	18	18	24	24	36	36	36	36	36	36	36	48	48	48	48	48	48	48	64	64	72	72	96
order	1	2	2	2	4	4	4	4	4	8	8	3	3	6	6	4	4	8	8	6	6	2	4	4	8	8	8	8	12	12	12	12	12	24	24	3	6	2	4	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
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
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
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
χ₅	2	2	2	2	0	0	0	0	2	2	2	-1	2	2	-1	2	2	2	2	2	2	0	2	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	0	0	-1
χ₆	2	2	2	2	0	0	0	0	2	-2	-2	-1	2	2	-1	-2	2	-2	-2	2	2	0	-2	0	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	0	0	1
χ₇	2	2	2	2	2	2	2	2	2	0	0	2	-1	-1	2	0	2	0	0	-1	-1	2	0	2	0	0	0	0	-1	-1	-1	-1	2	0	0	-1	-1	0	0	0
χ₈	2	2	2	2	-2	-2	-2	-2	2	0	0	2	-1	-1	2	0	2	0	0	-1	-1	-2	0	-2	0	0	0	0	1	1	1	1	2	0	0	-1	-1	0	0	0
χ₉	2	-2	-2	2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	2	-1	1	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	$i$	$- i$	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0
χ₁₀	2	-2	-2	2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	2	-1	1	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	$i$	$- i$	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0
χ₁₁	2	-2	-2	2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	2	-1	1	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	$- i$	$i$	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0
χ₁₂	2	-2	-2	2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	2	-1	1	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	$- i$	$i$	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0
χ₁₃	3	3	3	3	3	3	3	3	-1	1	1	3	0	0	3	-1	-1	1	1	0	0	-1	-1	-1	1	1	1	1	0	0	0	0	-1	1	1	0	0	-1	-1	-1
χ₁₄	3	3	3	3	3	3	3	3	-1	-1	-1	3	0	0	3	1	-1	-1	-1	0	0	-1	1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	1	1	1
χ₁₅	3	3	3	3	-3	-3	-3	-3	-1	1	1	3	0	0	3	-1	-1	1	1	0	0	1	-1	1	-1	-1	-1	-1	0	0	0	0	-1	1	1	0	0	1	1	-1
χ₁₆	3	3	3	3	-3	-3	-3	-3	-1	-1	-1	3	0	0	3	1	-1	-1	-1	0	0	1	1	1	1	1	1	1	0	0	0	0	-1	-1	-1	0	0	-1	-1	1
χ₁₇	3	3	-1	-1	1	1	-1	-1	3	3	3	0	3	3	0	3	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	1	-1	-1	0	0	0	0	0	1	-1	0
χ₁₈	3	3	-1	-1	1	1	-1	-1	3	-3	-3	0	3	3	0	-3	-1	1	1	-1	-1	1	1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	-1	1	0
χ₁₉	3	3	-1	-1	-1	-1	1	1	3	3	3	0	3	3	0	3	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	1	0	0	0	0	0	-1	1	0
χ₂₀	3	3	-1	-1	-1	-1	1	1	3	-3	-3	0	3	3	0	-3	-1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	0	1	-1	0
χ₂₁	4	4	4	4	0	0	0	0	4	0	0	-2	-2	-2	-2	0	4	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0	0
χ₂₂	4	-4	-4	4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	0	0
χ₂₃	4	-4	-4	4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	0	0
χ₂₄	4	-4	-4	4	$4 i$	$- 4 i$	$4 i$	$- 4 i$	0	0	0	4	1	-1	-4	0	0	0	0	1	-1	0	0	0	0	0	0	0	$- i$	$i$	$- i$	$i$	0	0	0	1	-1	0	0	0
χ₂₅	4	-4	-4	4	$- 4 i$	$4 i$	$- 4 i$	$4 i$	0	0	0	4	1	-1	-4	0	0	0	0	1	-1	0	0	0	0	0	0	0	$i$	$- i$	$i$	$- i$	0	0	0	1	-1	0	0	0
χ₂₆	6	6	6	6	0	0	0	0	-2	2	2	-3	0	0	-3	-2	-2	2	2	0	0	0	-2	0	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	1
χ₂₇	6	6	6	6	0	0	0	0	-2	-2	-2	-3	0	0	-3	2	-2	-2	-2	0	0	0	2	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	-1
χ₂₈	6	6	-2	-2	2	2	-2	-2	6	0	0	0	-3	-3	0	0	-2	0	0	1	1	2	0	-2	0	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₂₉	6	6	-2	-2	-2	-2	2	2	6	0	0	0	-3	-3	0	0	-2	0	0	1	1	-2	0	2	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₃₀	6	-6	2	-2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	-3	3	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	$- i$	$i$	0	0	0	0	0	0	0	0
χ₃₁	6	-6	2	-2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	-3	3	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	$- i$	$i$	0	0	0	0	0	0	0	0
χ₃₂	6	-6	2	-2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	-3	3	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	$i$	$- i$	0	0	0	0	0	0	0	0
χ₃₃	6	-6	2	-2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	-3	3	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	$i$	$- i$	0	0	0	0	0	0	0	0
χ₃₄	8	-8	-8	8	0	0	0	0	0	0	0	-4	2	-2	4	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0
χ₃₅	9	9	-3	-3	3	3	-3	-3	-3	3	3	0	0	0	0	-3	1	-1	-1	0	0	-1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	-1	1	0
χ₃₆	9	9	-3	-3	3	3	-3	-3	-3	-3	-3	0	0	0	0	3	1	1	1	0	0	-1	-1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	1	-1	0
χ₃₇	9	9	-3	-3	-3	-3	3	3	-3	3	3	0	0	0	0	-3	1	-1	-1	0	0	1	1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	1	-1	0
χ₃₈	9	9	-3	-3	-3	-3	3	3	-3	-3	-3	0	0	0	0	3	1	1	1	0	0	1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	-1	1	0
χ₃₉	12	-12	4	-4	$4 i$	$- 4 i$	$- 4 i$	$4 i$	0	0	0	0	3	-3	0	0	0	0	0	-1	1	0	0	0	0	0	0	0	$- i$	$i$	$i$	$- i$	0	0	0	0	0	0	0	0
χ₄₀	12	-12	4	-4	$- 4 i$	$4 i$	$4 i$	$- 4 i$	0	0	0	0	3	-3	0	0	0	0	0	-1	1	0	0	0	0	0	0	0	$i$	$- i$	$- i$	$i$	0	0	0	0	0	0	0	0

Character table — Group #11923445