Group #13164647 — 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	C₇₁	C₇₂
size	1	1	3	3	6	6	6	6	16	16	16	16	2	2	6	6	12	12	12	12	32	32	32	32	2	2	6	6	12	12	12	12	32	32	32	32	2	2	6	6	12	12	12	12	32	32	32	32	2	2	6	6	12	12	12	12	32	32	32	32	9	9	27	27	54	54	54	54	144	144	144	144
order	1	2	2	2	4	4	4	4	3	3	6	6	3	6	6	6	12	12	12	12	3	3	6	6	9	18	18	18	36	36	36	36	9	9	18	18	9	18	18	18	36	36	36	36	9	9	18	18	9	18	18	18	36	36	36	36	9	9	18	18	2	2	2	2	4	4	4	4	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	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1
χ₅	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₆	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₇	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0
χ₈	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0
χ₉	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0
χ₁₀	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0
χ₁₁	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0
χ₁₂	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₅	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₆	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	2	-2	2	-2	0	0	0	0	-1	-1	1	1	-2	2	-2	2	0	0	0	0	1	1	-1	-1
χ₁₇	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₈	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	2	-2	2	-2	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₉	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	3	3	3	3	-1	-1	-1	-1	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0
χ₂₀	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	3	3	-1	-1	3	-1	-1	-1	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0
χ₂₁	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	3	3	-1	-1	-1	3	-1	-1	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0
χ₂₂	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	3	-1	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0
χ₂₃	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	3	3	-1	-1	-1	-1	-1	3	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0
χ₂₄	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	6	-6	-2	2	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0
χ₂₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	0	0	0	0
χ₂₆	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	-4	0	0	0	0	-2	-2	2	2	4	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	2	-2	2	0	0	0	0	1	1	-1	-1	-2	2	-2	2	0	0	0	0	1	1	-1	-1	-2	2	-2	2	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	-4	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	4	-4	4	-4	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	-4	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	4	-4	4	-4	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	6	6	-2	-2	-2	-2	0	0	0	0	6	6	6	6	-2	-2	-2	-2	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	-2	-2	6	-2	-2	-2	0	0	0	0	6	6	-2	-2	6	-2	-2	-2	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	-2	-2	-2	6	-2	-2	0	0	0	0	6	6	-2	-2	-2	6	-2	-2	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-2	-2	-2	-2	6	-2	0	0	0	0	6	6	-2	-2	-2	-2	6	-2	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-2	-2	-2	-2	-2	6	0	0	0	0	6	6	-2	-2	-2	-2	-2	6	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-12	-4	4	0	0	0	0	0	0	0	0	12	-12	-4	4	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	2	-2	2	0	0	0	0	1	1	-1	-1	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ−ζ⁸	−ζ−ζ⁸	ζ+ζ⁸	ζ+ζ⁸	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	4	-4	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ²−ζ⁴	−ζ⁵−ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ−ζ⁵	−ζ⁴−ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁷−ζ⁸	−ζ−ζ²	ζ⁷+ζ⁸	ζ+ζ²	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	4	-4	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ⁵−ζ⁷	−ζ²−ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ⁴−ζ⁸	−ζ−ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ−ζ²	−ζ⁷−ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	6	6	-2	-2	-2	-2	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-2	-2	6	-2	-2	-2	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-2	-2	-2	6	-2	-2	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-2	-2	-2	-2	6	-2	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	-2	-2	-2	-2	-2	6	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	-12	-4	4	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	6ζ+6ζ⁸	−6ζ−6ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	0	0	0	0	0	0	0	0	6ζ²+6ζ⁷	−6ζ²−6ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	6ζ⁴+6ζ⁵	−6ζ⁴−6ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	2	-2	2	0	0	0	0	1	1	-1	-1	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ−ζ⁸	−ζ−ζ⁸	ζ+ζ⁸	ζ+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	4	-4	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ−ζ⁵	−ζ⁴−ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁷−ζ⁸	−ζ−ζ²	ζ⁷+ζ⁸	ζ+ζ²	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ²−ζ⁴	−ζ⁵−ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	4	-4	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ⁴−ζ⁸	−ζ−ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ−ζ²	−ζ⁷−ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ⁵−ζ⁷	−ζ²−ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	6	6	6	6	-2	-2	-2	-2	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	6	6	-2	-2	6	-2	-2	-2	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	6	6	-2	-2	-2	6	-2	-2	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	6	6	-2	-2	-2	-2	6	-2	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	6	6	-2	-2	-2	-2	-2	6	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	12	-12	-4	4	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	6ζ²+6ζ⁷	−6ζ²−6ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	6ζ⁴+6ζ⁵	−6ζ⁴−6ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	6ζ+6ζ⁸	−6ζ−6ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	2	2	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	2	2	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	2	-2	2	0	0	0	0	1	1	-1	-1	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ−ζ⁸	−ζ−ζ⁸	ζ+ζ⁸	ζ+ζ⁸	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	4	-4	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ⁷−ζ⁸	−ζ−ζ²	ζ⁷+ζ⁸	ζ+ζ²	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ²−ζ⁴	−ζ⁵−ζ⁷	ζ²+ζ⁴	ζ⁵+ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ−ζ⁵	−ζ⁴−ζ⁸	ζ+ζ⁵	ζ⁴+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	4	-4	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	2	-2	2	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	−2ζ⁴−2ζ⁵	0	0	0	0	−ζ−ζ²	−ζ⁷−ζ⁸	ζ+ζ²	ζ⁷+ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	−2ζ−2ζ⁸	0	0	0	0	−ζ⁵−ζ⁷	−ζ²−ζ⁴	ζ⁵+ζ⁷	ζ²+ζ⁴	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	−2ζ²−2ζ⁷	0	0	0	0	−ζ⁴−ζ⁸	−ζ−ζ⁵	ζ⁴+ζ⁸	ζ+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	6	6	6	6	-2	-2	-2	-2	0	0	0	0	-3	-3	-3	-3	1	1	1	1	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	6	6	-2	-2	6	-2	-2	-2	0	0	0	0	-3	-3	1	1	-3	1	1	1	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	6	6	-2	-2	-2	6	-2	-2	0	0	0	0	-3	-3	1	1	1	-3	1	1	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	6	6	-2	-2	-2	-2	6	-2	0	0	0	0	-3	-3	1	1	1	1	-3	1	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	6	6	-2	-2	-2	-2	-2	6	0	0	0	0	-3	-3	1	1	1	1	1	-3	0	0	0	0	3ζ⁴+3ζ⁵	3ζ⁴+3ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	3ζ⁴+3ζ⁵	0	0	0	0	3ζ+3ζ⁸	3ζ+3ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	3ζ+3ζ⁸	0	0	0	0	3ζ²+3ζ⁷	3ζ²+3ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	3ζ²+3ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	12	-12	-4	4	0	0	0	0	0	0	0	0	-6	6	2	-2	0	0	0	0	0	0	0	0	6ζ⁴+6ζ⁵	−6ζ⁴−6ζ⁵	−2ζ⁴−2ζ⁵	2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	6ζ+6ζ⁸	−6ζ−6ζ⁸	−2ζ−2ζ⁸	2ζ+2ζ⁸	0	0	0	0	0	0	0	0	6ζ²+6ζ⁷	−6ζ²−6ζ⁷	−2ζ²−2ζ⁷	2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13164647