Group #13180178 — 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
size	1	1	3	3	8	8	8	8	9	9	18	18	24	24	27	27	32	32	32	32	54	54	72	72	72	72	72	72	108	108	108	108	108	108	108	108
order	1	2	2	2	3	3	6	6	2	2	4	4	6	6	2	2	3	3	6	6	4	4	6	6	12	12	12	12	4	4	4	4	4	4	4	4
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
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
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
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
χ₅	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	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$
χ₆	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	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$
χ₇	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	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
χ₈	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	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	-2	-2	0	0	2	2	-2	-2	2	2	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	-1	2	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	-1	2	-1	2	2	-2	-2	2	2	2	2	-1	-1	-1	-1	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	-1	2	-1	-2	-2	0	0	2	2	-2	-2	-1	-1	-1	-1	0	0	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	-1	2	-1	-2	-2	0	0	2	2	-2	-2	-1	-1	-1	-1	0	0	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₄	2	-2	2	-2	2	2	-2	-2	-2	2	0	0	2	-2	-2	2	2	2	-2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	-2	2	-2	2	-1	-2	1	2	-2	2	-2	2	-2	2	-2	-1	-1	1	1	2	-2	1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₆	2	-2	2	-2	2	-1	-2	1	2	-2	-2	2	2	-2	2	-2	-1	-1	1	1	-2	2	1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₇	2	-2	2	-2	2	-1	-2	1	-2	2	0	0	2	-2	-2	2	-1	-1	1	1	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	2	-2	2	-2	2	-1	-2	1	-2	2	0	0	2	-2	-2	2	-1	-1	1	1	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	3	3	-1	-1	3	0	3	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₂₀	3	3	-1	-1	3	0	3	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₂₁	3	3	-1	-1	3	0	3	0	3	3	-3	-3	-1	-1	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0	1	1	-1	-1	-1	-1	1	1
χ₂₂	3	3	-1	-1	3	0	3	0	3	3	-3	-3	-1	-1	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1
χ₂₃	3	-3	-1	1	3	0	-3	0	3	-3	3	-3	-1	1	-1	1	0	0	0	0	-1	1	0	0	0	0	0	0	$i$	$- i$	$i$	$- i$	$- i$	$i$	$- i$	$i$
χ₂₄	3	-3	-1	1	3	0	-3	0	3	-3	3	-3	-1	1	-1	1	0	0	0	0	-1	1	0	0	0	0	0	0	$- i$	$i$	$- i$	$i$	$i$	$- i$	$i$	$- i$
χ₂₅	3	-3	-1	1	3	0	-3	0	3	-3	-3	3	-1	1	-1	1	0	0	0	0	1	-1	0	0	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₆	3	-3	-1	1	3	0	-3	0	3	-3	-3	3	-1	1	-1	1	0	0	0	0	1	-1	0	0	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₇	6	6	-2	-2	6	0	6	0	-6	-6	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	-6	-2	2	6	0	-6	0	-6	6	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	8	8	8	-1	8	-1	8	0	0	0	0	-1	-1	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	8	8	8	-1	-4	-1	-4	0	0	0	0	-1	-1	0	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	8	8	8	-1	-4	-1	-4	0	0	0	0	-1	-1	0	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	8	-8	8	-8	-1	8	1	-8	0	0	0	0	-1	1	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	-8	8	-8	-1	-4	1	4	0	0	0	0	-1	1	0	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	8	-8	-1	-4	1	4	0	0	0	0	-1	1	0	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	24	24	-8	-8	-3	0	-3	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	24	-24	-8	8	-3	0	3	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13180178