Group #13167656 — 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
size	1	1	2	2	2	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	9	9	18	18	18	36	36	36	36	72	72	72	72	72	72	108	108	108	108	216	216
order	1	2	3	4	6	8	12	24	24	3	3	3	6	6	6	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	24	24	2	2	4	6	6	8	12	24	24	4	4	12	12	12	12	4	4	8	8	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
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
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
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
χ₅	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	1	-1	1	1	-1	-1	1	1	-1	-1	1	-1
χ₆	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	1	-1	1	1	-1	-1	-1	-1	1	1	-1	1
χ₇	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	-1	1	-1	-1	1	1	1	1	-1	-1	-1	1
χ₈	1	1	1	1	1	-1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	1	1	-1
χ₉	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	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	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	-2	-2	2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	-2	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	2	2	0	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0
χ₁₂	2	2	2	-2	2	0	-2	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	2	2	0	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0
χ₁₃	2	2	2	-2	2	0	-2	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₁₄	2	2	2	-2	2	0	-2	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0
χ₁₅	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₆	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	0	0
χ₁₇	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	-2	1	1	1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	-2	1	1	1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-1	1	1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	2	-1	-1	-2	-1	1	1	2	-2	-1	-1	1	1	0	0	0	0	0	0
χ₂₀	2	2	-1	2	-1	-2	-1	1	1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	2	-1	-1	-2	-1	1	1	-2	2	1	1	-1	-1	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	-2	-1	1	1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	-2	1	1	2	1	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	-2	-1	1	1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	-2	1	1	2	1	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₂₃	4	4	-2	-4	-2	0	2	0	0	4	-2	-2	4	-2	-2	-4	-4	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	-2	-4	-2	0	2	0	0	4	-2	-2	4	-2	-2	-4	-4	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	4	0	-4	0	0	0	0	4	4	4	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	0	-4	0	0	0	0	4	4	4	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-2	0	2	0	0	$\sqrt{6}$	$- \sqrt{6}$	4	-2	-2	-4	2	2	0	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	4	-4	0	-2	2	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	-2	0	2	0	0	$\sqrt{6}$	$- \sqrt{6}$	4	-2	-2	-4	2	2	0	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	-4	4	0	2	-2	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	-2	0	2	0	0	$- \sqrt{6}$	$\sqrt{6}$	4	-2	-2	-4	2	2	0	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	4	-4	0	-2	2	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	-2	0	2	0	0	$- \sqrt{6}$	$\sqrt{6}$	4	-2	-2	-4	2	2	0	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	-4	4	0	2	-2	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	8	8	8	8	8	8	8	8	-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	0	0	0	0	0	0	0	0	0
χ₃₂	8	8	8	8	8	-8	8	-8	-8	-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	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	8	-8	8	0	-8	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	8	-8	8	0	-8	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-4	8	-4	8	-4	-4	-4	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	8	-4	8	-4	8	-4	-4	-4	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	-4	8	-4	-8	-4	4	4	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	-4	8	-4	-8	-4	4	4	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	8	-4	-8	-4	0	4	0	0	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	3ζ²²	3ζ¹⁴	−3ζ²²	−3ζ¹⁴	3ζ²²	3ζ¹⁴	−3ζ²²	−3ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	8	-4	-8	-4	0	4	0	0	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	−3ζ²²	−3ζ¹⁴	3ζ²²	3ζ¹⁴	−3ζ²²	−3ζ¹⁴	3ζ²²	3ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	-4	-8	-4	0	4	0	0	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	3ζ¹⁴	3ζ²²	−3ζ¹⁴	−3ζ²²	3ζ¹⁴	3ζ²²	−3ζ¹⁴	−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	8	-4	-8	-4	0	4	0	0	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	−3ζ¹⁴	−3ζ²²	3ζ¹⁴	3ζ²²	−3ζ¹⁴	−3ζ²²	3ζ¹⁴	3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	-8	8	0	-8	0	0	0	0	-1	-1	-1	1	1	1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	$3 i$	$- 3 i$	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	8	0	-8	0	0	0	0	-1	-1	-1	1	1	1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	$3 i$	$- 3 i$	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	8	0	-8	0	0	0	0	-1	-1	-1	1	1	1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	$- 3 i$	$3 i$	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	8	0	-8	0	0	0	0	-1	-1	-1	1	1	1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	$- 3 i$	$3 i$	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	-4	0	4	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$3 i$	$- 3 i$	3ζ²²	−3ζ²²	3ζ¹⁴	−3ζ¹⁴	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	-4	0	4	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$- 3 i$	$3 i$	−3ζ²²	3ζ²²	−3ζ¹⁴	3ζ¹⁴	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	-4	0	4	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$3 i$	$- 3 i$	3ζ¹⁴	−3ζ¹⁴	3ζ²²	−3ζ²²	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	-8	-4	0	4	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$- 3 i$	$3 i$	−3ζ¹⁴	3ζ¹⁴	−3ζ²²	3ζ²²	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	8	-8	-4	0	4	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$3 i$	$- 3 i$	3ζ²²	−3ζ²²	3ζ¹⁴	−3ζ¹⁴	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	-8	-4	0	4	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$- 3 i$	$3 i$	−3ζ²²	3ζ²²	−3ζ¹⁴	3ζ¹⁴	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	-8	-4	0	4	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$3 i$	$- 3 i$	3ζ¹⁴	−3ζ¹⁴	3ζ²²	−3ζ²²	3ζ⁷+3ζ²³	−3ζ⁷−3ζ²³	−3ζ⁵−3ζ¹³	3ζ⁵+3ζ¹³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	-4	0	4	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$- 3 i$	$3 i$	−3ζ¹⁴	3ζ¹⁴	−3ζ²²	3ζ²²	3ζ⁵+3ζ¹³	−3ζ⁵−3ζ¹³	−3ζ⁷−3ζ²³	3ζ⁷+3ζ²³	−2ζ⁵−ζ⁷−ζ¹³+ζ²³	ζ⁵−ζ⁷+2ζ¹³+ζ²³	ζ⁵−ζ⁷−ζ¹³−2ζ²³	ζ⁵+2ζ⁷−ζ¹³+ζ²³	2ζ⁵+ζ⁷+ζ¹³−ζ²³	−ζ⁵+ζ⁷−2ζ¹³−ζ²³	−ζ⁵+ζ⁷+ζ¹³+2ζ²³	−ζ⁵−2ζ⁷+ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13167656