Group #11724209 — 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
size	1	1	2	2	2	2	4	4	6	8	8	9	9	12	12	16	16	16	16	16	16	16	16	18	18	18	18	24	36	36	36	36	36	36	54	72	72	72	72
order	1	2	3	3	6	6	3	6	4	3	6	2	2	12	12	3	3	3	3	6	6	6	6	8	8	8	8	12	4	4	24	24	24	24	4	6	6	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	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
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
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
χ₅	2	2	2	2	2	2	2	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	0	0	0	0	0	0	2	-1	-1	0	0
χ₆	2	2	2	2	2	2	2	2	2	-1	-1	-2	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	0	0	0	0	0	0	-2	1	1	0	0
χ₇	2	2	2	-1	2	-1	-1	-1	2	2	2	0	0	2	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	2	2	-1	0	2	0	0	-1	-1	0	0	0	0	-1
χ₈	2	2	2	-1	2	-1	-1	-1	2	2	2	0	0	2	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	-2	-2	-1	0	-2	0	0	1	1	0	0	0	0	1
χ₉	2	2	-1	2	-1	2	-1	-1	2	2	2	0	0	-1	2	-1	2	-1	-1	-1	2	-1	-1	2	2	0	0	-1	2	0	-1	-1	0	0	0	0	0	-1	0
χ₁₀	2	2	-1	2	-1	2	-1	-1	2	2	2	0	0	-1	2	-1	2	-1	-1	-1	2	-1	-1	-2	-2	0	0	-1	-2	0	1	1	0	0	0	0	0	1	0
χ₁₁	2	-2	2	2	-2	-2	2	-2	0	-1	1	2	-2	0	0	-1	-1	-1	-1	1	1	1	1	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	1	-1	0	0
χ₁₂	2	-2	2	2	-2	-2	2	-2	0	-1	1	2	-2	0	0	-1	-1	-1	-1	1	1	1	1	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	1	-1	0	0
χ₁₃	2	-2	2	2	-2	-2	2	-2	0	-1	1	-2	2	0	0	-1	-1	-1	-1	1	1	1	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	-1	1	0	0
χ₁₄	2	-2	2	2	-2	-2	2	-2	0	-1	1	-2	2	0	0	-1	-1	-1	-1	1	1	1	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	-1	1	0	0
χ₁₅	3	3	3	3	3	3	3	3	-1	0	0	3	3	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	1	1	1	1	-1	0	0	-1	-1
χ₁₆	3	3	3	3	3	3	3	3	-1	0	0	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	0	0	1	1
χ₁₇	3	3	3	3	3	3	3	3	-1	0	0	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	1	1	1	-1	-1	1	0	0	-1	1
χ₁₈	3	3	3	3	3	3	3	3	-1	0	0	-3	-3	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	1	-1	-1	-1	1	1	1	0	0	1	-1
χ₁₉	4	4	4	-2	4	-2	-2	-2	4	-2	-2	0	0	4	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	-2	4	-2	4	-2	-2	4	-2	-2	0	0	-2	4	1	-2	1	1	1	-2	1	1	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	-2	-2	-2	-2	1	1	4	4	4	0	0	-2	-2	-2	-2	1	1	-2	-2	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	-2	-2	-2	-2	1	1	4	-2	-2	0	0	-2	-2	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	-2	-2	-2	-2	1	1	4	-2	-2	0	0	-2	-2	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	4	4	-4	-4	4	-4	0	1	-1	4	-4	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0
χ₂₅	4	-4	4	4	-4	-4	4	-4	0	1	-1	-4	4	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0
χ₂₆	4	-4	4	-2	-4	2	-2	2	0	-2	2	0	0	0	0	-2	1	1	1	2	-1	-1	-1	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₂₇	4	-4	4	-2	-4	2	-2	2	0	-2	2	0	0	0	0	-2	1	1	1	2	-1	-1	-1	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₂₈	4	-4	-2	4	2	-4	-2	2	0	-2	2	0	0	0	0	1	-2	1	1	-1	2	-1	-1	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₉	4	-4	-2	4	2	-4	-2	2	0	-2	2	0	0	0	0	1	-2	1	1	-1	2	-1	-1	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₃₀	6	6	6	-3	6	-3	-3	-3	-2	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	2	2	1	0	-2	0	0	-1	-1	0	0	0	0	1
χ₃₁	6	6	6	-3	6	-3	-3	-3	-2	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	-2	-2	1	0	2	0	0	1	1	0	0	0	0	-1
χ₃₂	6	6	-3	6	-3	6	-3	-3	-2	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	2	2	0	0	1	-2	0	-1	-1	0	0	0	0	0	1	0
χ₃₃	6	6	-3	6	-3	6	-3	-3	-2	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	-2	-2	0	0	1	2	0	1	1	0	0	0	0	0	-1	0
χ₃₄	8	-8	8	-4	-8	4	-4	4	0	2	-2	0	0	0	0	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	-4	8	4	-8	-4	4	0	2	-2	0	0	0	0	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	-4	-4	4	4	2	-2	0	2	-2	0	0	0	0	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	-4	-4	4	4	2	-2	0	2	-2	0	0	0	0	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	-4	-4	4	4	2	-2	0	-4	4	0	0	0	0	2	2	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	12	-6	-6	-6	-6	3	3	-4	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11724209