Group #11923444 — 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	6	6	6	8	8	12	3	3	18	18	18	24	24	36	6	6	36	36	36	48	48	72	6	6	36	36	36	48	48	72	8	8	48	48	48	64	64	96
order	1	2	4	8	8	3	6	4	2	2	4	8	8	6	6	4	2	2	4	8	8	6	6	4	4	4	4	8	8	12	12	4	3	6	12	24	24	3	6	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	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0
χ₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0
χ₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0
χ₆	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1
χ₇	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1
χ₈	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0
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
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
χ₁₁	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0
χ₁₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0
χ₁₃	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0
χ₁₄	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1
χ₁₅	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1
χ₁₆	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0
χ₁₇	2	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	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₈	2	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	-1	-1	-1	1	1	-1	-1	1
χ₁₉	4	4	4	0	0	-2	-2	0	4	4	4	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	1	1	0
χ₂₀	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0
χ₂₁	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0
χ₂₂	6	6	-2	2	2	0	0	-2	6	6	-2	2	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-3	1	-1	-1	0	0	1
χ₂₃	6	6	-2	-2	-2	0	0	2	6	6	-2	-2	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-3	1	1	1	0	0	-1
χ₂₄	8	-8	0	0	0	2	-2	0	8	-8	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	-1	1	0
χ₂₅	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₆	3	3	3	-3	-3	3	3	-3	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	0	0	-3	-3	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	0	0	0	0	0	0	0	0
χ₂₈	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-3	3	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0
χ₂₉	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-3	3	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0
χ₃₀	9	9	-3	3	3	0	0	-3	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	0	0	0	0	0	0	0	0
χ₃₁	9	9	-3	-3	-3	0	0	3	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	0	0	0	0	0	0	0	0
χ₃₂	12	-12	0	0	0	3	-3	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	0	0	0	0	0	0	0	0
χ₃₃	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₃₄	3	3	3	-3	-3	3	3	-3	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	0	0	0	0	0	0	0	0
χ₃₅	6	6	6	0	0	-3	-3	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	0	0	0	0	0	0	0	0
χ₃₆	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-3	3	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	0	0	0	0	0	0
χ₃₇	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-3	3	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	0	0	0	0	0	0
χ₃₈	9	9	-3	3	3	0	0	-3	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	0	0	0	0	0	0	0	0
χ₃₉	9	9	-3	-3	-3	0	0	3	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	0	0	0	0	0	0	0	0
χ₄₀	12	-12	0	0	0	3	-3	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	0	0	0	0	0	0	0	0

Character table — Group #11923444