Group #72267618 — 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	C₅₃	C₅₄
size	1	1	1	1	3	3	3	3	6	6	6	6	6	6	6	6	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	4	4	4	4	4	4	4	4	2	2	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	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	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	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	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	2	2	-2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	0	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	1	1	-1
χ₅	2	2	-2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	0	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₆	2	2	-2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	0	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	2	-2	-2	2	2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	2	-2	0	0	2	2	2	-2	-2	-2	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
χ₈	2	-2	-2	2	2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	2	-2	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₉	2	-2	-2	2	2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	2	-2	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₀	3	3	3	3	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
χ₁₁	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	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
χ₁₂	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	3	-1	-1	3	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
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	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	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	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	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	3	3	3	3	-1	-1	-1	-1	-1	-1	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	3	-1	-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	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	3	-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	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	3	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	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	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	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	-1	-1	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	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	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	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	3	-1	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	-1	-1	3	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-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	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	3	-1	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₅	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	3	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₂₆	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	3	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0
χ₂₇	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	3	-1	-1	3	3	-1	-1	-1	-1	3	-1	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₈	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	-1	-1	3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-1	-1	3	-1	3	-1	-1	0	0	0	0	0	0	0	0
χ₂₉	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	-1	-1	3	-1	3	-1	-1	3	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₃₀	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	-1	-1	3	-1	-1	3	-1	-1	3	-1	3	-1	3	-1	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	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	1	1	1	-1	-1	1	-1	-1
χ₃₂	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₃₃	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₃₄	6	6	-6	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	6	6	-6	-6	-2	2	0	0	0	0	0	0	-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	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	-2	-2	2	2	6	-6	0	0	0	0	0	0	-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	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	2	0	0	0	0	0	0	6	-2	-2	-6	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	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	2	0	0	0	0	0	0	-2	6	-2	2	-6	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	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	2	0	0	0	0	0	0	-2	-2	6	2	2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	-6	-6	6	6	6	-6	-6	6	6	6	6	-6	-6	-6	-6	-2	2	-2	2	0	0	-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	0	0	0	0	0	0
χ₄₀	6	-6	-6	6	6	6	-6	-6	-2	-2	-2	-2	2	2	2	2	6	-6	6	-6	0	0	-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	0	0	0	0	0	0
χ₄₁	6	-6	-6	6	6	6	-6	-6	-2	-2	-2	-2	2	2	2	2	-2	2	-2	2	0	0	6	-2	-2	-6	2	2	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
χ₄₂	6	-6	-6	6	6	6	-6	-6	-2	-2	-2	-2	2	2	2	2	-2	2	-2	2	0	0	-2	6	-2	2	-6	2	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
χ₄₃	6	-6	-6	6	6	6	-6	-6	-2	-2	-2	-2	2	2	2	2	-2	2	-2	2	0	0	-2	-2	6	2	2	-6	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
χ₄₄	12	12	12	12	-4	-4	-4	-4	12	-4	-4	-4	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	0	0	0	0
χ₄₅	12	12	12	12	-4	-4	-4	-4	-4	12	-4	-4	-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	0	0	0	0
χ₄₆	12	12	12	12	-4	-4	-4	-4	-4	-4	12	-4	-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	0	0	0	0
χ₄₇	12	12	12	12	-4	-4	-4	-4	-4	-4	-4	12	-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	0	0	0	0
χ₄₈	12	-12	12	-12	12	-12	-12	12	0	0	0	0	0	0	0	0	-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
χ₄₉	12	-12	-12	12	-4	-4	4	4	12	-4	-4	-4	-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	0	0	0	0
χ₅₀	12	-12	-12	12	-4	-4	4	4	-4	12	-4	-4	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	0	0	0	0
χ₅₁	12	-12	-12	12	-4	-4	4	4	-4	-4	12	-4	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	0	0	0	0
χ₅₂	12	-12	-12	12	-4	-4	4	4	-4	-4	-4	12	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	0	0	0	0
χ₅₃	24	24	-24	-24	-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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	24	-24	24	-24	-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	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72267618