Group #11721792 — 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	C₆₉	C₇₀
size	1	1	1	6	6	6	6	9	9	9	1	1	1	6	6	6	6	9	9	9	2	2	2	12	12	12	12	18	18	18	2	2	2	12	12	12	12	18	18	18	2	2	2	12	12	12	12	18	18	18	4	4	4	24	24	24	24	36	36	36	4	4	4	24	24	24	24	36	36	36
order	1	3	3	3	3	3	3	2	6	6	2	6	6	6	6	6	6	2	6	6	4	12	12	12	12	12	12	4	12	12	8	24	24	24	24	24	24	8	24	24	8	24	24	24	24	24	24	8	24	24	2	6	6	6	6	6	6	2	6	6	2	6	6	6	6	6	6	2	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	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	-1	-1
χ₃	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0
χ₄	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0
χ₅	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0
χ₆	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0
χ₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
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	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1
χ₁₃	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0
χ₁₄	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0
χ₁₅	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0
χ₁₆	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0
χ₁₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₂₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₂	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1
χ₂₃	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0
χ₂₄	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0
χ₂₅	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0
χ₂₆	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0
χ₂₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₂₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₂₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₃₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1
χ₃₂	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1
χ₃₃	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	-2	-2	-2	-2	1	1	1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0
χ₃₄	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	-2	-2	-2	1	-2	1	1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0
χ₃₅	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	-2	-2	-2	1	1	-2	1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0
χ₃₆	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	-2	-2	-2	1	1	1	-2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0
χ₃₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-3	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₃₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-3	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₄₁	2	2	2	2	2	2	2	2	2	2	2	2	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	2	2	2	2	2	2	2	-2	-2	-2	2	2	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	4	4	-2	-2	-2	0	0	0	4	4	4	4	-2	-2	-2	0	0	0	-4	-4	-4	-4	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	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	4	-2	4	-2	-2	0	0	0	4	4	4	-2	4	-2	-2	0	0	0	-4	-4	-4	2	-4	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	0	0	0	0	0	0	0	0	0
χ₄₅	4	4	4	-2	-2	4	-2	0	0	0	4	4	4	-2	-2	4	-2	0	0	0	-4	-4	-4	2	2	-4	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	0	0	0	0	0	0	0	0	0
χ₄₆	4	4	4	-2	-2	-2	4	0	0	0	4	4	4	-2	-2	-2	4	0	0	0	-4	-4	-4	2	2	2	-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	0	0	0	0	0
χ₄₇	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	2	2	2	2	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	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	2	2	2	2	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	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	4	4	4	-2	-2	-2	0	0	0	-4	-4	-4	-4	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	4	4	-2	4	-2	-2	0	0	0	-4	-4	-4	2	-4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	4	4	-2	-2	4	-2	0	0	0	-4	-4	-4	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	4	4	4	-2	-2	-2	4	0	0	0	-4	-4	-4	2	2	2	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	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	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	3ζ⁵−3ζ²³	−3ζ⁷+3ζ¹³	0	0	0	0	$\sqrt{2}$	ζ⁵−ζ²³	−ζ⁷+ζ¹³	$- 3 \sqrt{2}$	−3ζ⁵+3ζ²³	3ζ⁷−3ζ¹³	0	0	0	0	$- \sqrt{2}$	−ζ⁵+ζ²³	ζ⁷−ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	3ζ⁵−3ζ²³	−3ζ⁷+3ζ¹³	0	0	0	0	$- \sqrt{2}$	−ζ⁵+ζ²³	ζ⁷−ζ¹³	$- 3 \sqrt{2}$	−3ζ⁵+3ζ²³	3ζ⁷−3ζ¹³	0	0	0	0	$\sqrt{2}$	ζ⁵−ζ²³	−ζ⁷+ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	−3ζ⁷+3ζ¹³	3ζ⁵−3ζ²³	0	0	0	0	$\sqrt{2}$	−ζ⁷+ζ¹³	ζ⁵−ζ²³	$- 3 \sqrt{2}$	3ζ⁷−3ζ¹³	−3ζ⁵+3ζ²³	0	0	0	0	$- \sqrt{2}$	ζ⁷−ζ¹³	−ζ⁵+ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	−3ζ⁷+3ζ¹³	3ζ⁵−3ζ²³	0	0	0	0	$- \sqrt{2}$	ζ⁷−ζ¹³	−ζ⁵+ζ²³	$- 3 \sqrt{2}$	3ζ⁷−3ζ¹³	−3ζ⁵+3ζ²³	0	0	0	0	$\sqrt{2}$	−ζ⁷+ζ¹³	ζ⁵−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	2	2	2	2	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	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	2	2	2	2	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	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	4	4	4	-2	-2	-2	0	0	0	-4	-4	-4	-4	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	4	4	-2	4	-2	-2	0	0	0	-4	-4	-4	2	-4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	4	4	-2	-2	4	-2	0	0	0	-4	-4	-4	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	4	4	-2	-2	-2	4	0	0	0	-4	-4	-4	2	2	2	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	−3ζ⁵+3ζ²³	3ζ⁷−3ζ¹³	0	0	0	0	$- \sqrt{2}$	−ζ⁵+ζ²³	ζ⁷−ζ¹³	$3 \sqrt{2}$	3ζ⁵−3ζ²³	−3ζ⁷+3ζ¹³	0	0	0	0	$\sqrt{2}$	ζ⁵−ζ²³	−ζ⁷+ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-6	$3 - 3 i \sqrt{3}$	$3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	−3ζ⁵+3ζ²³	3ζ⁷−3ζ¹³	0	0	0	0	$\sqrt{2}$	ζ⁵−ζ²³	−ζ⁷+ζ¹³	$3 \sqrt{2}$	3ζ⁵−3ζ²³	−3ζ⁷+3ζ¹³	0	0	0	0	$- \sqrt{2}$	−ζ⁵+ζ²³	ζ⁷−ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	3ζ⁷−3ζ¹³	−3ζ⁵+3ζ²³	0	0	0	0	$- \sqrt{2}$	ζ⁷−ζ¹³	−ζ⁵+ζ²³	$3 \sqrt{2}$	−3ζ⁷+3ζ¹³	3ζ⁵−3ζ²³	0	0	0	0	$\sqrt{2}$	−ζ⁷+ζ¹³	ζ⁵−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-6	$3 + 3 i \sqrt{3}$	$3 - 3 i \sqrt{3}$	0	0	0	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	3ζ⁷−3ζ¹³	−3ζ⁵+3ζ²³	0	0	0	0	$\sqrt{2}$	−ζ⁷+ζ¹³	ζ⁵−ζ²³	$3 \sqrt{2}$	−3ζ⁷+3ζ¹³	3ζ⁵−3ζ²³	0	0	0	0	$- \sqrt{2}$	ζ⁷−ζ¹³	−ζ⁵+ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11721792