Group #72267570 — 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
size	1	1	1	1	3	3	3	3	12	12	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	24	24	24	24	48	48	48	48	48	48	48	48	48	48	48	48	256	256	256	256	256	256	256	256
order	1	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	3	3	6	6	6	6	6	6
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
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₅	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₆	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	3	3	3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₇	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	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	3	-1	-1	0	0	0	0	0	0	0	0
χ₈	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	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	3	3	0	0	0	0	0	0	0	0
χ₉	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₀	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₁	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	3	-1	0	0	0	0	0	0	0	0
χ₁₂	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	3	0	0	0	0	0	0	0	0
χ₁₃	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₁₄	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₅	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	3	3	-1	0	0	0	0	0	0	0	0
χ₁₆	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0
χ₁₇	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₈	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0
χ₂₀	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	3	-1	3	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₂₁	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0
χ₂₂	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	3	0	0	0	0	0	0	0	0
χ₂₃	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₄	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	3	-1	3	-1	3	-1	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₅	4	-4	-4	4	-4	4	4	-4	4	4	-4	-4	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	1	1	-1	-1	1	-1	-1
χ₂₆	4	-4	-4	4	-4	4	4	-4	4	4	-4	-4	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₇	4	-4	-4	4	-4	4	4	-4	4	4	-4	-4	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₂₈	8	8	-8	-8	-8	8	-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	-1	-1	1	1	-1	1	1	-1
χ₂₉	8	8	-8	-8	-8	8	-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	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₃₀	8	8	-8	-8	-8	8	-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	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₃₁	8	-8	8	-8	8	8	-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	-1	-1	1	-1	1	1	-1	1
χ₃₂	8	-8	8	-8	8	8	-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	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃₃	8	-8	8	-8	8	8	-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	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃₄	12	12	12	12	-4	-4	-4	-4	0	0	0	0	12	-4	-4	-4	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
χ₃₅	12	12	12	12	-4	-4	-4	-4	0	0	0	0	-4	12	-4	-4	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
χ₃₆	12	12	12	12	-4	-4	-4	-4	0	0	0	0	-4	-4	12	-4	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
χ₃₇	12	12	12	12	-4	-4	-4	-4	0	0	0	0	-4	-4	-4	12	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
χ₃₈	12	12	-12	-12	4	-4	4	-4	4	-4	4	-4	0	0	0	0	4	-4	0	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	12	-12	-12	4	-4	4	-4	4	-4	4	-4	0	0	0	0	-4	4	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	12	-12	-12	4	-4	4	-4	-4	4	-4	4	0	0	0	0	4	-4	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	12	-12	-12	4	-4	4	-4	-4	4	-4	4	0	0	0	0	-4	4	0	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	-12	12	-12	-4	-4	4	4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	-12	12	-12	-4	-4	4	4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	-12	12	-12	-4	-4	4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	-12	12	-12	-4	-4	4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	12	-12	-12	12	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	4	-4	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
χ₄₇	12	-12	-12	12	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	-4	4	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
χ₄₈	12	-12	-12	12	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	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
χ₄₉	12	-12	-12	12	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	4	-4	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
χ₅₀	12	-12	-12	12	-12	12	12	-12	-4	-4	4	4	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 #72267570