Group #13147163 — 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	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈
size	1	1	2	2	2	3	3	4	4	4	4	6	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	18	18	24	24	24	24	24	24	36	48	48	48	48	48	48	48	48	54	54	72	72	72	72	108	144	144
order	1	2	3	4	6	2	2	4	12	12	12	4	6	6	9	18	18	18	18	18	18	18	3	3	4	6	6	12	12	12	36	36	36	36	36	36	36	36	36	36	36	36	8	8	9	9	12	12	18	18	4	12	12	36	36	36	36	36	36	8	8	24	24	24	24	4	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	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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
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	-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	-1	-1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1
χ₉	1	1	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₀	1	1	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₂	1	1	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₃	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-1	-1	2	2	-1	-1	0	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	2	2	2	-2	2	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	-1	-1	2	2	-1	-1	0	-2	-2	-1	1	1	-1	1	1	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	2	2	2	2	2	-2	2	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	2	-2	2	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	2	2	2	2	2	2	2	2	2	2	0	2	2	-2	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	2	2	0	0	0	-2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	$1 + i \sqrt{3}$	0	0	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	$1 - i \sqrt{3}$	0	0	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	2	2	-2	0	0	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	-1	-1	-2	-2	-1	-1	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	2	2	-2	0	0	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	-1	-1	-2	-2	-1	-1	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	0	0	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	0	0	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	0	0	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	2	-2	2	2	2	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	0	0	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₈	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	2	2	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₂₉	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	2	2	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0
χ₃₀	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²¹+ζ³⁹	ζ²¹−ζ³⁹	ζ¹⁵−ζ⁶⁹	−ζ¹⁵+ζ⁶⁹	0	0	0
χ₃₁	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²¹−ζ³⁹	−ζ²¹+ζ³⁹	−ζ¹⁵+ζ⁶⁹	ζ¹⁵−ζ⁶⁹	0	0	0
χ₃₂	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹⁵−ζ⁶⁹	−ζ¹⁵+ζ⁶⁹	−ζ²¹+ζ³⁹	ζ²¹−ζ³⁹	0	0	0
χ₃₃	2	-2	2	0	-2	2	-2	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹⁵+ζ⁶⁹	ζ¹⁵−ζ⁶⁹	ζ²¹−ζ³⁹	−ζ²¹+ζ³⁹	0	0	0
χ₃₄	3	3	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	0	0	-1	0	0	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	0	0	3	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	-1	0	0
χ₃₅	3	3	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	0	0	-1	0	0	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	0	0	-3	0	0	0	0	0	0	0	0	1	1	0	0	0	0	1	0	0
χ₃₆	3	3	3	3	3	-1	-1	-3	3	-3	-3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	0	0	1	0	0	-1	1	1	3	-1	-1	-1	-3	1	1	1	-3	1	1	1	3	3	0	0	0	0	0	0	-3	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	1	0	0
χ₃₇	3	3	3	3	3	-1	-1	-3	3	-3	-3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	0	0	1	0	0	-1	1	1	3	-1	-1	-1	-3	1	1	1	-3	1	1	1	-3	-3	0	0	0	0	0	0	3	0	0	0	0	0	0	0	0	1	1	0	0	0	0	-1	0	0
χ₃₈	4	-4	4	0	-4	4	-4	0	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	4	4	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	4	0	-4	4	-4	0	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	$2 + 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	4	0	-4	4	-4	0	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	$2 - 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	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	6	6	6	6	-2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	-2	0	0	-2	-2	-2	-3	1	1	1	-3	1	1	1	-3	1	1	1	0	0	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	-2	-2	-6	6	-6	-6	-2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	2	0	0	-2	2	2	-3	1	1	1	3	-1	-1	-1	3	-1	-1	-1	0	0	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	-2	-2	0	-6	0	0	2	-2	-2	6	-2	-2	-2	-2	-2	-2	6	0	0	0	0	0	2	0	0	-6	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	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	-6	6	-2	-2	0	-6	0	0	2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	0	0	0	2	0	0	3	-1	-1	-1	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$3 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	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	6	6	6	-6	6	-2	-2	0	-6	0	0	2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	0	0	0	2	0	0	3	-1	-1	-1	$3 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	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	6	6	-3	6	-3	6	6	6	-3	-3	-3	6	-3	-3	0	0	0	0	0	0	0	0	0	0	6	0	0	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	6	6	-3	6	-3	6	6	-6	-3	3	3	6	-3	-3	0	0	0	0	0	0	0	0	0	0	-6	0	0	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	6	6	-3	6	-3	-2	-2	6	-3	-3	-3	-2	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	0	0	-2	0	0	1	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	0	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	6	6	-3	6	-3	-2	-2	6	-3	-3	-3	-2	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	0	-2	0	0	1	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	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	6	6	-3	6	-3	-2	-2	6	-3	-3	-3	-2	1	1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	0	-2	0	0	1	1	1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	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	6	6	-3	6	-3	-2	-2	-6	-3	3	3	-2	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	0	0	2	0	0	1	-1	-1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	0	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	0	0	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	6	6	-3	6	-3	-2	-2	-6	-3	3	3	-2	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	0	2	0	0	1	-1	-1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	0	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	6	6	-3	6	-3	-2	-2	-6	-3	3	3	-2	1	1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	0	2	0	0	1	-1	-1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	0	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	6	6	-3	-6	-3	6	6	0	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	-6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	6	6	-3	-6	-3	6	6	0	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	-6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	6	6	-3	-6	-3	-2	-2	0	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	2	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	0	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	0	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁶⁸	0	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	2ζ⁴−2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	6	6	-3	-6	-3	-2	-2	0	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	2	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	2ζ⁴+2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	0	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	2ζ⁴−2ζ⁶⁸	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	6	6	-3	-6	-3	-2	-2	0	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	2	1	1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	−2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁴⁴+2ζ⁵²	0	2ζ⁴−2ζ⁶⁸	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	6	6	-3	-6	-3	-2	-2	0	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	2	1	1	0	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	0	0	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	0	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	2ζ⁴−2ζ⁶⁸	0	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	6	6	-3	-6	-3	-2	-2	0	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	2	1	1	0	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	2ζ⁴−2ζ⁶⁸	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	0	2ζ⁴+2ζ⁴⁴+2ζ⁵²	−2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	6	6	-3	-6	-3	-2	-2	0	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	2	1	1	0	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	2ζ⁴−2ζ⁶⁸	2ζ⁴⁴+2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁴⁴−2ζ⁵²	0	−2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴−2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁴⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	6	-6	6	0	-6	-2	2	0	0	0	0	0	-2	2	6	-2	-2	-2	2	2	2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₆₃	6	-6	6	0	-6	-2	2	0	0	0	0	0	-2	2	6	-2	-2	-2	2	2	2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₆₄	12	-12	12	0	-12	-4	4	0	0	0	0	0	-4	4	-6	2	2	2	-2	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	12	-12	-6	0	6	12	-12	0	0	0	0	0	-6	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	12	-12	-6	0	6	-4	4	0	0	0	0	0	2	-2	0	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	4ζ⁴−4ζ⁴⁴+4ζ⁵²	−4ζ⁴−4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	4ζ⁴+4ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	12	-12	-6	0	6	-4	4	0	0	0	0	0	2	-2	0	4ζ⁴−4ζ⁴⁴+4ζ⁵²	−4ζ⁴−4ζ⁶⁸	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	4ζ⁴+4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	12	-12	-6	0	6	-4	4	0	0	0	0	0	2	-2	0	−4ζ⁴−4ζ⁶⁸	4ζ⁴⁴−4ζ⁵²+4ζ⁶⁸	4ζ⁴−4ζ⁴⁴+4ζ⁵²	4ζ⁴+4ζ⁶⁸	−4ζ⁴⁴+4ζ⁵²−4ζ⁶⁸	−4ζ⁴+4ζ⁴⁴−4ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #13147163