Group #72311952 — 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	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂
size	1	1	2	3	3	6	6	6	6	6	6	6	6	6	8	8	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	64	64	64	64	128	128	128	128	128	128
order	1	2	4	2	2	2	2	2	2	4	4	4	4	4	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	2	2	4	4	4	4	4	4	4	4	3	3	6	6	6	6	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	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	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	-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	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	-1	-1	-1	-1	1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	-1
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	-1	-1	-1	-1	1	-1	1	1	1	1	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
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	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
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	1	1	1	1	1	1	-1	1	-1	1	-1	-1
χ₁₁	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	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₂	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	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₃	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₄	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-3	-3	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₁₅	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₆	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₇	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0	0	0
χ₁₈	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	0	0	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-3	-3	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	1	1	-3	1	1	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₀	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-3	-3	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	1	1	1	-3	1	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₁	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-3	-3	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	1	1	1	1	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0
χ₂₂	3	3	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-3	-3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	1	1	1	1	1	-3	1	1	1	-3	0	0	0	0	0	0	0	0	0	0
χ₂₃	3	3	-3	3	3	3	3	3	3	-3	-3	-3	-3	-3	3	-3	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	3	-3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₄	3	3	-3	3	3	3	3	3	3	-3	-3	-3	-3	-3	-3	3	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	-3	3	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₅	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	3	-3	3	-1	-1	-1	-3	1	1	1	3	-1	-1	-1	-3	1	1	1	-1	1	3	-1	-1	-1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₆	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	3	-3	-1	3	-1	-1	1	-3	1	1	-1	3	-1	-1	1	-3	1	1	-1	1	-1	3	-1	-1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₇	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	3	-3	-1	-1	3	-1	1	1	-3	1	-1	-1	3	-1	1	1	-3	1	-1	1	-1	-1	3	-1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0
χ₂₈	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	3	-3	-1	-1	-1	3	1	1	1	-3	-1	-1	-1	3	1	1	1	-3	-1	1	-1	-1	-1	3	1	1	1	-3	0	0	0	0	0	0	0	0	0	0
χ₂₉	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	-3	3	3	-1	-1	-1	-3	1	1	1	3	-1	-1	-1	-3	1	1	1	1	-1	-3	1	1	1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₃₀	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	-3	3	-1	3	-1	-1	1	-3	1	1	-1	3	-1	-1	1	-3	1	1	1	-1	1	-3	1	1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₃₁	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	-3	3	-1	-1	3	-1	1	1	-3	1	-1	-1	3	-1	1	1	-3	1	1	-1	1	1	-3	1	-1	-1	3	-1	0	0	0	0	0	0	0	0	0	0
χ₃₂	3	3	-3	-1	-1	-1	-1	-1	3	-3	1	1	1	1	-3	3	-1	-1	-1	3	1	1	1	-3	-1	-1	-1	3	1	1	1	-3	1	-1	1	1	1	-3	-1	-1	-1	3	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	6	6	6	-2	-2	-2	-2	-2	6	-2	-2	-2	0	0	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	0	0	0	0
χ₃₄	6	6	6	6	6	-2	-2	-2	-2	-2	6	-2	-2	-2	0	0	-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	0	0	0	0
χ₃₅	6	6	6	-2	-2	6	-2	-2	-2	-2	-2	6	-2	-2	0	0	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	0	0	0	0
χ₃₆	6	6	6	-2	-2	6	-2	-2	-2	-2	-2	6	-2	-2	0	0	-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	0	0	0	0
χ₃₇	6	6	6	-2	-2	-2	6	-2	-2	-2	-2	-2	6	-2	0	0	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	0	0	0	0
χ₃₈	6	6	6	-2	-2	-2	6	-2	-2	-2	-2	-2	6	-2	0	0	-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	0	0	0	0
χ₃₉	6	6	6	-2	-2	-2	-2	6	-2	-2	-2	-2	-2	6	0	0	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	0	0	0	0
χ₄₀	6	6	6	-2	-2	-2	-2	6	-2	-2	-2	-2	-2	6	0	0	-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	0	0	0	0
χ₄₁	6	6	-6	6	6	-2	-2	-2	-2	2	-6	2	2	2	0	0	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	0	0	0	0
χ₄₂	6	6	-6	6	6	-2	-2	-2	-2	2	-6	2	2	2	0	0	-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	0	0	0	0
χ₄₃	6	6	-6	-2	-2	6	-2	-2	-2	2	2	-6	2	2	0	0	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	0	0	0	0
χ₄₄	6	6	-6	-2	-2	6	-2	-2	-2	2	2	-6	2	2	0	0	-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	0	0	0	0
χ₄₅	6	6	-6	-2	-2	-2	6	-2	-2	2	2	2	-6	2	0	0	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	0	0	0	0
χ₄₆	6	6	-6	-2	-2	-2	6	-2	-2	2	2	2	-6	2	0	0	-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	0	0	0	0
χ₄₇	6	6	-6	-2	-2	-2	-2	6	-2	2	2	2	2	-6	0	0	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	0	0	0	0
χ₄₈	6	6	-6	-2	-2	-2	-2	6	-2	2	2	2	2	-6	0	0	-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	0	0	0	0
χ₄₉	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0
χ₅₀	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0
χ₅₁	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0
χ₅₂	24	-24	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #72311952