Group #11796777 — 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	C₈₅	C₈₆	C₈₇	C₈₈	C₈₉	C₉₀
size	1	1	2	2	2	4	4	4	4	4	4	4	4	4	4	6	6	6	6	6	6	6	6	8	8	8	9	9	12	12	12	12	12	12	12	12	18	18	18	24	24	48	48	72	72	1	1	2	2	2	4	4	4	4	4	4	4	4	4	4	6	6	6	6	6	6	6	6	8	8	8	9	9	12	12	12	12	12	12	12	12	18	18	18	24	24	48	48	72	72
order	1	2	4	8	8	3	3	6	6	12	12	24	24	24	24	16	16	16	16	16	16	16	16	12	24	24	4	4	48	48	48	48	48	48	48	48	2	8	8	2	4	6	12	8	8	2	2	4	8	8	6	6	6	6	12	12	24	24	24	24	16	16	16	16	16	16	16	16	12	24	24	4	4	48	48	48	48	48	48	48	48	2	8	8	2	4	6	12	8	8
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	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	-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	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1
χ₅	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	1	-1	1	-1	$i$	$- i$	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	1	-1	1	-1	$i$	$- i$
χ₆	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	-1	1	-1	1	$- i$	$i$	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	-1	1	-1	1	$- i$	$i$
χ₇	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	1	-1	1	-1	$- i$	$i$	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	1	-1	1	-1	$- i$	$i$
χ₈	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	-1	1	-1	1	$i$	$- i$	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	-1	1	-1	1	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0
χ₁₀	2	2	2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0	2	2	2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0
χ₁₁	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	-2	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	-2	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	0	0	0	0	0	0	0	0
χ₁₂	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	0	0	0	0	0	0
χ₁₃	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	0	0	0	0	0	0
χ₁₄	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	-2	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	-2	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	0	0	0	0	0	0	0	0
χ₁₅	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₁₆	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₁₇	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₁₈	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₁₉	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₀	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₁	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₂	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0
χ₂₆	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0
χ₂₇	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	-2	2	2	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	-2	2	2	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	-2	2	2	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	-2	2	2	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0
χ₃₀	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0
χ₃₁	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	2ζ²	2ζ²	−2ζ²	−2ζ²	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2	0	0	0	0	−ζ²	−ζ²	ζ²	ζ²	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	0	0	0	0	0	0	0	0	0	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	2ζ²	2ζ²	−2ζ²	−2ζ²	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2	0	0	0	0	−ζ²	−ζ²	ζ²	ζ²	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	−2ζ²	−2ζ²	2ζ²	2ζ²	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	2	0	0	0	0	ζ²	ζ²	−ζ²	−ζ²	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	0	0	0	0	0	0	0	0	0	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	−2ζ²	−2ζ²	2ζ²	2ζ²	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	2	0	0	0	0	ζ²	ζ²	−ζ²	−ζ²	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2ζ²	2ζ²	−2ζ²	−2ζ²	2	0	0	0	0	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	−ζ²	−ζ²	ζ²	ζ²	0	0	0	0	0	0	0	0	0	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2ζ²	2ζ²	−2ζ²	−2ζ²	2	0	0	0	0	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	−ζ²	−ζ²	ζ²	ζ²	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	−2ζ²	−2ζ²	2ζ²	2ζ²	2	0	0	0	0	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	ζ²	ζ²	−ζ²	−ζ²	0	0	0	0	0	0	0	0	0	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	−2ζ²	−2ζ²	2ζ²	2ζ²	2	0	0	0	0	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	ζ²	ζ²	−ζ²	−ζ²	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ	−2ζ	2ζ⁵	−2ζ⁵	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ	ζ	−ζ⁵	ζ⁵	ζ³	−ζ³	−ζ⁷	ζ⁷	0	0	0	0	0	0	0	0	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ	−2ζ	2ζ⁵	−2ζ⁵	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ	ζ	−ζ⁵	ζ⁵	ζ³	−ζ³	−ζ⁷	ζ⁷	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	−2ζ	2ζ	−2ζ⁵	2ζ⁵	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ	−ζ	ζ⁵	−ζ⁵	−ζ³	ζ³	ζ⁷	−ζ⁷	0	0	0	0	0	0	0	0	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	−2ζ	2ζ	−2ζ⁵	2ζ⁵	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ	−ζ	ζ⁵	−ζ⁵	−ζ³	ζ³	ζ⁷	−ζ⁷	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	2ζ	−2ζ	2ζ⁵	−2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ³	ζ³	ζ⁷	−ζ⁷	−ζ	ζ	−ζ⁵	ζ⁵	0	0	0	0	0	0	0	0	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	2ζ	−2ζ	2ζ⁵	−2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ³	ζ³	ζ⁷	−ζ⁷	−ζ	ζ	−ζ⁵	ζ⁵	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	−2ζ	2ζ	−2ζ⁵	2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ³	−ζ³	−ζ⁷	ζ⁷	ζ	−ζ	ζ⁵	−ζ⁵	0	0	0	0	0	0	0	0	0	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	−2ζ	2ζ	−2ζ⁵	2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ³	−ζ³	−ζ⁷	ζ⁷	ζ	−ζ	ζ⁵	−ζ⁵	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	2ζ⁵	−2ζ⁵	−2ζ	2ζ	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁵	ζ⁵	ζ	−ζ	−ζ⁷	ζ⁷	−ζ³	ζ³	0	0	0	0	0	0	0	0	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	2ζ⁵	−2ζ⁵	−2ζ	2ζ	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁵	ζ⁵	ζ	−ζ	−ζ⁷	ζ⁷	−ζ³	ζ³	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ⁵	2ζ⁵	2ζ	−2ζ	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁵	−ζ⁵	−ζ	ζ	ζ⁷	−ζ⁷	ζ³	−ζ³	0	0	0	0	0	0	0	0	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ⁵	2ζ⁵	2ζ	−2ζ	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁵	−ζ⁵	−ζ	ζ	ζ⁷	−ζ⁷	ζ³	−ζ³	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	−2ζ⁵	2ζ⁵	2ζ	−2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁷	ζ⁷	−ζ³	ζ³	ζ⁵	−ζ⁵	−ζ	ζ	0	0	0	0	0	0	0	0	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	−2ζ⁵	2ζ⁵	2ζ	−2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁷	ζ⁷	−ζ³	ζ³	ζ⁵	−ζ⁵	−ζ	ζ	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	2ζ⁵	−2ζ⁵	−2ζ	2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁷	−ζ⁷	ζ³	−ζ³	−ζ⁵	ζ⁵	ζ	−ζ	0	0	0	0	0	0	0	0	0	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	2ζ⁵	−2ζ⁵	−2ζ	2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁷	−ζ⁷	ζ³	−ζ³	−ζ⁵	ζ⁵	ζ	−ζ	0	0	0	0	0	0	0	0	0
χ₄₃	8	8	-8	0	0	-4	2	-4	2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-8	0	0	-4	2	-4	2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-4	2	4	-2	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-4	2	4	-2	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-4	2	4	-2	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-4	2	4	-2	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₄₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₄₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₄₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	1	-1	-1
χ₅₀	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	1	-1	1	-1	$i$	$- i$	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	1	-1	1	$- i$	$i$
χ₅₁	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	-1	1	-1	1	$- i$	$i$	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	1	-1	1	-1	$i$	$- i$
χ₅₂	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	1	-1	1	-1	$- i$	$i$	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	-1	1	-1	1	$i$	$- i$
χ₅₃	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	1	-1	1	-1	1	$i$	$- i$	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	-1	1	-1	1	-1	$- i$	$i$
χ₅₄	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	2	0	0	0	0	0	0
χ₅₅	2	2	2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	2	2	0	0	0	0	0	0
χ₅₆	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	-2	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	0	0	2	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	0	0	0	0	0	0
χ₅₇	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	0	0	0	0	0	0
χ₅₈	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	0	0	0	0	0	0
χ₅₉	2	2	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	-2	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	0	0	2	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	0	0	0	0	0	0
χ₆₀	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	2	2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₆₁	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	2	2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₆₂	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	2	2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₆₃	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−ζ−ζ³	ζ+ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	2	2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	ζ+ζ³	−ζ−ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₆₄	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	2	2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₆₅	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	2	2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₆₆	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	2	2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₆₇	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ−ζ³	−ζ+ζ³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ−ζ³	ζ+ζ³	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	2	2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ+ζ³	ζ−ζ³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ+ζ³	−ζ−ζ³	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₆₈	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-1	2	-1	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	2	2	2	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₆₉	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-1	2	-1	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	2	2	2	2	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₇₀	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	-4	-4	-4	-4	-4	2	-1	2	-1	2	2	2	2	2	2	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0
χ₇₁	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	-4	-4	-4	-4	-4	2	-1	2	-1	2	2	2	2	2	2	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0
χ₇₂	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	-2	2	2	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	-1	2	-1	2	-1	-1	1	1	1	1	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	2	-2	-2	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0
χ₇₃	4	4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	-2	2	2	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	-1	2	-1	2	-1	-1	1	1	1	1	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	2	-2	-2	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0
χ₇₄	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0	-4	-4	-4	4	4	2	-1	2	-1	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0
χ₇₅	4	4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0	-4	-4	-4	4	4	2	-1	2	-1	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0
χ₇₆	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	2ζ²	2ζ²	−2ζ²	−2ζ²	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2	0	0	0	0	−ζ²	−ζ²	ζ²	ζ²	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	0	0	0	0	0	0	0	0	0	-4	-4	4	0	0	-1	2	-1	2	1	1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	−2ζ²	−2ζ²	2ζ²	2ζ²	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	-2	0	0	0	0	ζ²	ζ²	−ζ²	−ζ²	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	0	0	0	0	0	0	0	0	0
χ₇₇	4	4	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	−2ζ²	−2ζ²	2ζ²	2ζ²	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	2	0	0	0	0	ζ²	ζ²	−ζ²	−ζ²	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	0	0	0	0	0	0	0	0	0	-4	-4	4	0	0	-1	2	-1	2	1	1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	2ζ²	2ζ²	−2ζ²	−2ζ²	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	-2	0	0	0	0	−ζ²	−ζ²	ζ²	ζ²	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	0	0	0	0	0	0	0	0	0
χ₇₈	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2ζ²	2ζ²	−2ζ²	−2ζ²	2	0	0	0	0	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	−ζ²	−ζ²	ζ²	ζ²	0	0	0	0	0	0	0	0	0	-4	-4	4	0	0	-1	2	-1	2	1	1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	−2ζ²	−2ζ²	2ζ²	2ζ²	-2	0	0	0	0	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	ζ²	ζ²	−ζ²	−ζ²	0	0	0	0	0	0	0	0	0
χ₇₉	4	4	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	−2ζ⁶	−2ζ⁶	2ζ⁶	2ζ⁶	−2ζ²	−2ζ²	2ζ²	2ζ²	2	0	0	0	0	ζ⁶	ζ⁶	−ζ⁶	−ζ⁶	ζ²	ζ²	−ζ²	−ζ²	0	0	0	0	0	0	0	0	0	-4	-4	4	0	0	-1	2	-1	2	1	1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	2ζ⁶	2ζ⁶	−2ζ⁶	−2ζ⁶	2ζ²	2ζ²	−2ζ²	−2ζ²	-2	0	0	0	0	−ζ⁶	−ζ⁶	ζ⁶	ζ⁶	−ζ²	−ζ²	ζ²	ζ²	0	0	0	0	0	0	0	0	0
χ₈₀	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ	−2ζ	2ζ⁵	−2ζ⁵	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ	ζ	−ζ⁵	ζ⁵	ζ³	−ζ³	−ζ⁷	ζ⁷	0	0	0	0	0	0	0	0	0	-4	4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	2	1	-2	$- 3 i$	$3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ	2ζ	−2ζ⁵	2ζ⁵	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ	−ζ	ζ⁵	−ζ⁵	−ζ³	ζ³	ζ⁷	−ζ⁷	0	0	0	0	0	0	0	0	0
χ₈₁	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	−2ζ	2ζ	−2ζ⁵	2ζ⁵	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ	−ζ	ζ⁵	−ζ⁵	−ζ³	ζ³	ζ⁷	−ζ⁷	0	0	0	0	0	0	0	0	0	-4	4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	2	1	-2	$- 3 i$	$3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	2ζ	−2ζ	2ζ⁵	−2ζ⁵	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ	ζ	−ζ⁵	ζ⁵	ζ³	−ζ³	−ζ⁷	ζ⁷	0	0	0	0	0	0	0	0	0
χ₈₂	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	2ζ	−2ζ	2ζ⁵	−2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ³	ζ³	ζ⁷	−ζ⁷	−ζ	ζ	−ζ⁵	ζ⁵	0	0	0	0	0	0	0	0	0	-4	4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	2	1	-2	$3 i$	$- 3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	−2ζ	2ζ	−2ζ⁵	2ζ⁵	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ³	−ζ³	−ζ⁷	ζ⁷	ζ	−ζ	ζ⁵	−ζ⁵	0	0	0	0	0	0	0	0	0
χ₈₃	4	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	−2ζ³	2ζ³	2ζ⁷	−2ζ⁷	−2ζ	2ζ	−2ζ⁵	2ζ⁵	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ³	−ζ³	−ζ⁷	ζ⁷	ζ	−ζ	ζ⁵	−ζ⁵	0	0	0	0	0	0	0	0	0	-4	4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	2	1	-2	$3 i$	$- 3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	2ζ³	−2ζ³	−2ζ⁷	2ζ⁷	2ζ	−2ζ	2ζ⁵	−2ζ⁵	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ³	ζ³	ζ⁷	−ζ⁷	−ζ	ζ	−ζ⁵	ζ⁵	0	0	0	0	0	0	0	0	0
χ₈₄	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	2ζ⁵	−2ζ⁵	−2ζ	2ζ	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁵	ζ⁵	ζ	−ζ	−ζ⁷	ζ⁷	−ζ³	ζ³	0	0	0	0	0	0	0	0	0	-4	4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	2	1	-2	$- 3 i$	$3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	−2ζ⁵	2ζ⁵	2ζ	−2ζ	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ⁵	−ζ⁵	−ζ	ζ	ζ⁷	−ζ⁷	ζ³	−ζ³	0	0	0	0	0	0	0	0	0
χ₈₅	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ⁵	2ζ⁵	2ζ	−2ζ	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁵	−ζ⁵	−ζ	ζ	ζ⁷	−ζ⁷	ζ³	−ζ³	0	0	0	0	0	0	0	0	0	-4	4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	2	1	-2	$- 3 i$	$3 i$	2ζ²−ζ⁶	−ζ²+2ζ⁶	−2ζ²+ζ⁶	ζ²−2ζ⁶	2ζ⁵	−2ζ⁵	−2ζ	2ζ	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ⁵	ζ⁵	ζ	−ζ	−ζ⁷	ζ⁷	−ζ³	ζ³	0	0	0	0	0	0	0	0	0
χ₈₆	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	−2ζ⁵	2ζ⁵	2ζ	−2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−ζ⁷	ζ⁷	−ζ³	ζ³	ζ⁵	−ζ⁵	−ζ	ζ	0	0	0	0	0	0	0	0	0	-4	4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	2	1	-2	$3 i$	$- 3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	2ζ⁵	−2ζ⁵	−2ζ	2ζ	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	ζ⁷	−ζ⁷	ζ³	−ζ³	−ζ⁵	ζ⁵	ζ	−ζ	0	0	0	0	0	0	0	0	0
χ₈₇	4	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	ζ²−2ζ⁶	−2ζ²+ζ⁶	−ζ²+2ζ⁶	2ζ²−ζ⁶	−2ζ⁷	2ζ⁷	−2ζ³	2ζ³	2ζ⁵	−2ζ⁵	−2ζ	2ζ	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	ζ⁷	−ζ⁷	ζ³	−ζ³	−ζ⁵	ζ⁵	ζ	−ζ	0	0	0	0	0	0	0	0	0	-4	4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	2	1	-2	$3 i$	$- 3 i$	−ζ²+2ζ⁶	2ζ²−ζ⁶	ζ²−2ζ⁶	−2ζ²+ζ⁶	2ζ⁷	−2ζ⁷	2ζ³	−2ζ³	−2ζ⁵	2ζ⁵	2ζ	−2ζ	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−ζ⁷	ζ⁷	−ζ³	ζ³	ζ⁵	−ζ⁵	−ζ	ζ	0	0	0	0	0	0	0	0	0
χ₈₈	8	8	-8	0	0	-4	2	-4	2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	8	0	0	4	-2	4	-2	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₉	8	-8	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-4	2	4	-2	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	4	-2	-4	2	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₉₀	8	-8	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-4	2	4	-2	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	4	-2	-4	2	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11796777