Group #13181787 — 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
size	1	2	6	6	6	9	16	16	16	18	36	36	48	48	48	64	64	64	72	72	72	72	72	216	216	216	216
order	1	3	2	6	6	2	3	3	3	6	2	4	6	6	6	3	3	3	4	6	12	12	12	4	4	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
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
χ₃	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$- i$	$i$	$- i$
χ₄	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$i$	$- i$	$i$
χ₅	2	-1	2	-1	-1	2	2	-1	-1	-1	2	2	2	-1	-1	2	-1	-1	2	-1	-1	-1	-1	0	0	0	0
χ₆	2	-1	2	-1	-1	2	2	-1	-1	-1	-2	-2	2	-1	-1	2	-1	-1	-2	1	1	1	1	0	0	0	0
χ₇	4	4	4	4	4	4	1	1	1	4	0	0	1	1	1	-2	-2	-2	0	0	0	0	0	0	0	0	0
χ₈	4	4	4	4	4	4	-2	-2	-2	4	0	0	-2	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0
χ₉	4	-2	4	-2	-2	4	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	0	0	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	1	1	0	0	0	0	0	0	0	0	0
χ₁₀	4	-2	4	-2	-2	4	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	0	0	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	1	1	0	0	0	0	0	0	0	0	0
χ₁₁	4	-2	4	-2	-2	4	-2	1	1	-2	0	0	-2	1	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
χ₁₂	4	-2	4	-2	-2	4	-2	1	1	-2	0	0	-2	1	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
χ₁₃	6	6	2	2	2	-2	3	3	3	-2	2	-2	-1	-1	-1	0	0	0	0	2	0	0	-2	0	0	0	0
χ₁₄	6	6	2	2	2	-2	3	3	3	-2	-2	2	-1	-1	-1	0	0	0	0	-2	0	0	2	0	0	0	0
χ₁₅	6	-3	2	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-2	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	1	2	-2	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0
χ₁₆	6	-3	2	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-2	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	1	-2	2	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	0
χ₁₇	6	-3	2	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-2	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	1	2	-2	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0
χ₁₈	6	-3	2	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-2	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	1	-2	2	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	0
χ₁₉	9	9	-3	-3	-3	1	0	0	0	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	1	1	1	-1	-1
χ₂₀	9	9	-3	-3	-3	1	0	0	0	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	1	-1	-1	1	1
χ₂₁	9	9	-3	-3	-3	1	0	0	0	1	-1	-1	0	0	0	0	0	0	1	-1	1	1	-1	$i$	$- i$	$- i$	$i$
χ₂₂	9	9	-3	-3	-3	1	0	0	0	1	-1	-1	0	0	0	0	0	0	1	-1	1	1	-1	$- i$	$i$	$i$	$- i$
χ₂₃	12	12	4	4	4	-4	-3	-3	-3	-4	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	12	-6	4	$- 2 - 4 i \sqrt{3}$	$- 2 + 4 i \sqrt{3}$	-4	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	2	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	12	-6	4	$- 2 + 4 i \sqrt{3}$	$- 2 - 4 i \sqrt{3}$	-4	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	2	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	18	-9	-6	3	3	2	0	0	0	-1	2	2	0	0	0	0	0	0	-2	-1	1	1	-1	0	0	0	0
χ₂₇	18	-9	-6	3	3	2	0	0	0	-1	-2	-2	0	0	0	0	0	0	2	1	-1	-1	1	0	0	0	0

Character table — Group #13181787