Group #13173382 — 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	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄
size	1	2	4	4	4	4	4	4	9	18	27	27	1	2	4	4	4	4	4	4	9	18	27	27	2	4	8	8	8	8	8	8	18	36	54	54	2	4	8	8	8	8	8	8	18	36	54	54	2	4	8	8	8	8	8	8	18	36	54	54	4	8	16	16	16	16	16	16	36	72	108	108	4	8	16	16	16	16	16	16	36	72	108	108
order	1	3	3	3	3	3	3	3	2	6	4	4	2	6	6	6	6	6	6	6	2	6	4	4	4	12	12	12	12	12	12	12	4	12	4	4	8	24	24	24	24	24	24	24	8	24	8	8	8	24	24	24	24	24	24	24	8	24	8	8	4	12	12	12	12	12	12	12	4	12	4	4	4	12	12	12	12	12	12	12	4	12	4	4
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	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	-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	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$
χ₅	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0
χ₆	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0
χ₇	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0
χ₈	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0
χ₉	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₁₀	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₁₁	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₁₂	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₅	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₁₆	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₁₇	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0
χ₁₈	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0
χ₁₉	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0
χ₂₀	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0
χ₂₁	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₂₂	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₂₃	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₂₄	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₂₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₆	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₇	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₂₈	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₂₉	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0
χ₃₀	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0
χ₃₁	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0
χ₃₂	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0
χ₃₃	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₃₄	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₃₅	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₃₆	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1
χ₃₈	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₃₉	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄₀	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$
χ₄₁	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0
χ₄₂	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0
χ₄₃	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0
χ₄₄	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0
χ₄₅	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₄₆	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₄₇	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₄₈	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₄₉	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	-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	0	0	0	0	0	0	0	0
χ₅₀	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	-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	0	0	0	0	0	0	0	0
χ₅₁	2	2	2	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	2	2	2	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	2	2	2	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	2	2	2	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	4	-2	4	4	-2	-2	-2	-2	4	-2	0	0	4	-2	4	4	-2	-2	-2	-2	4	-2	0	0	-4	2	-4	-4	2	2	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	0	0	0	0	0	0	0
χ₅₄	4	-2	4	4	-2	-2	-2	-2	-4	2	0	0	4	-2	4	4	-2	-2	-2	-2	-4	2	0	0	-4	2	-4	-4	2	2	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	0	0	0	0	0	0	0
χ₅₅	8	8	2	-4	2	2	-4	-4	0	0	0	0	8	8	2	-4	2	2	-4	-4	0	0	0	0	-8	-8	-2	4	-2	-2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	8	8	-4	2	-4	-4	2	2	0	0	0	0	8	8	-4	2	-4	-4	2	2	0	0	0	0	-8	-8	4	-2	4	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	0	0	0	0	0	0	0	0	0
χ₅₇	8	-4	2	-4	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	0	0	0	0	8	-4	2	-4	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-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	0	0	0	0	0	0	0	0	0
χ₅₈	8	-4	2	-4	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	0	0	0	0	8	-4	2	-4	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-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	0	0	0	0	0	0	0	0	0
χ₅₉	8	-4	-4	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	0	0	0	0	8	-4	-4	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	8	-4	-4	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	0	0	0	0	8	-4	-4	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	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	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	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	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	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	2	2	2	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	2	2	2	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-2	4	4	-2	-2	-2	-2	4	-2	0	0	-4	2	-4	-4	2	2	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-2	4	4	-2	-2	-2	-2	-4	2	0	0	-4	2	-4	-4	2	2	2	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	8	8	2	-4	2	2	-4	-4	0	0	0	0	-8	-8	-2	4	-2	-2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$4 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	8	8	-4	2	-4	-4	2	2	0	0	0	0	-8	-8	4	-2	4	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	8	-4	2	-4	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	8	-4	2	-4	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	8	-4	-4	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	-4	-4	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	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	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	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	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	2	2	2	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	2	2	2	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	4	-2	4	4	-2	-2	-2	-2	4	-2	0	0	-4	2	-4	-4	2	2	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	4	-2	4	4	-2	-2	-2	-2	-4	2	0	0	-4	2	-4	-4	2	2	2	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	8	8	2	-4	2	2	-4	-4	0	0	0	0	-8	-8	-2	4	-2	-2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$4 \sqrt{2}$	$4 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	8	8	-4	2	-4	-4	2	2	0	0	0	0	-8	-8	4	-2	4	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$4 \sqrt{2}$	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₁	8	-4	2	-4	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₂	8	-4	2	-4	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	0	0	0	0	-8	4	-2	4	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₃	8	-4	-4	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₄	8	-4	-4	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	0	0	0	0	-8	4	4	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 4 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−2ζ⁵−ζ⁷+ζ¹³+2ζ²³	ζ⁵+2ζ⁷−2ζ¹³−ζ²³	0	0	0	0	$4 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2ζ⁵+ζ⁷−ζ¹³−2ζ²³	−ζ⁵−2ζ⁷+2ζ¹³+ζ²³	0	0	0	0	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 #13173382