Group #11722255 — 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
size	1	1	2	2	6	6	6	9	9	12	12	18	18	18	18	24	24	24	36	36	36	36	36	36	48	48	54	72	72	72	72
order	1	2	3	6	3	4	6	4	4	12	12	8	8	8	8	3	6	12	2	4	24	24	24	24	3	6	2	6	12	12	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	-1	-1	2	0	0	0	0	0	0	-1	-1	2	0	0	-1	-1
χ₆	2	2	2	2	2	2	2	-2	-2	2	2	0	0	0	0	-1	-1	2	0	0	0	0	0	0	-1	-1	-2	0	0	1	1
χ₇	2	2	2	2	-1	2	-1	0	0	2	-1	2	2	0	0	2	2	-1	2	0	-1	-1	0	0	-1	-1	0	-1	0	0	0
χ₈	2	2	2	2	-1	2	-1	0	0	2	-1	-2	-2	0	0	2	2	-1	-2	0	1	1	0	0	-1	-1	0	1	0	0	0
χ₉	2	-2	2	-2	2	0	-2	$2 i$	$- 2 i$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$i$	$- i$
χ₁₀	2	-2	2	-2	2	0	-2	$2 i$	$- 2 i$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$i$	$- i$
χ₁₁	2	-2	2	-2	2	0	-2	$- 2 i$	$2 i$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	$- i$	$i$
χ₁₂	2	-2	2	-2	2	0	-2	$- 2 i$	$2 i$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	$- i$	$i$
χ₁₃	3	3	3	3	3	-1	3	3	3	-1	-1	1	1	1	1	0	0	-1	-1	-1	1	1	1	1	0	0	-1	-1	-1	0	0
χ₁₄	3	3	3	3	3	-1	3	3	3	-1	-1	-1	-1	-1	-1	0	0	-1	1	1	-1	-1	-1	-1	0	0	-1	1	1	0	0
χ₁₅	3	3	3	3	3	-1	3	-3	-3	-1	-1	1	1	-1	-1	0	0	-1	-1	1	1	1	-1	-1	0	0	1	-1	1	0	0
χ₁₆	3	3	3	3	3	-1	3	-3	-3	-1	-1	-1	-1	1	1	0	0	-1	1	-1	-1	-1	1	1	0	0	1	1	-1	0	0
χ₁₇	4	4	4	4	-2	4	-2	0	0	4	-2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	1	1	0	0	0	0	0
χ₁₈	4	-4	4	-4	4	0	-4	$4 i$	$- 4 i$	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	1	-1	0	0	0	$- i$	$i$
χ₁₉	4	-4	4	-4	4	0	-4	$- 4 i$	$4 i$	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	1	-1	0	0	0	$i$	$- i$
χ₂₀	4	-4	4	-4	-2	0	2	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	-2	2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	1	-1	0	0	0	0	0
χ₂₁	4	-4	4	-4	-2	0	2	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	-2	2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	1	-1	0	0	0	0	0
χ₂₂	6	6	6	6	-3	-2	-3	0	0	-2	1	2	2	0	0	0	0	1	-2	0	-1	-1	0	0	0	0	0	1	0	0	0
χ₂₃	6	6	6	6	-3	-2	-3	0	0	-2	1	-2	-2	0	0	0	0	1	2	0	1	1	0	0	0	0	0	-1	0	0	0
χ₂₄	6	6	-3	-3	0	6	0	0	0	-3	0	0	0	2	2	0	0	0	0	2	0	0	-1	-1	0	0	0	0	-1	0	0
χ₂₅	6	6	-3	-3	0	6	0	0	0	-3	0	0	0	-2	-2	0	0	0	0	-2	0	0	1	1	0	0	0	0	1	0	0
χ₂₆	6	6	-3	-3	0	-2	0	0	0	1	4	0	0	2	2	0	0	-2	0	-2	0	0	-1	-1	0	0	0	0	1	0	0
χ₂₇	6	6	-3	-3	0	-2	0	0	0	1	4	0	0	-2	-2	0	0	-2	0	2	0	0	1	1	0	0	0	0	-1	0	0
χ₂₈	8	-8	8	-8	-4	0	4	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	-1	1	0	0	0	0	0
χ₂₉	12	12	-6	-6	0	-4	0	0	0	2	-4	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	12	-12	-6	6	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₃₁	12	-12	-6	6	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0

Character table — Group #11722255