Group #3697 — 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
size	1	1	1	1	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	18	18	18	18
order	1	2	4	4	2	3	4	6	6	6	9	9	9	12	12	12	12	18	18	18	18	18	18	18	18	18	36	36	36	36	36	36	36	36	36	36	36	36	2	2	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
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
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
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
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
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
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
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
χ₉	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	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	0	0	0	0
χ₁₀	2	2	2	2	2	-1	2	-1	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	-1	-1	-1	-1	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0
χ₁₁	2	2	2	2	2	-1	2	-1	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-1	-1	-1	-1	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0
χ₁₂	2	2	2	2	2	-1	2	-1	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	-1	-1	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	0	0	0	0
χ₁₃	2	2	2	2	-2	2	-2	-2	-2	2	-1	-1	-1	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	0	0	0	0
χ₁₄	2	2	2	2	-2	-1	-2	1	1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	-1	-1	1	1	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0
χ₁₅	2	2	2	2	-2	-1	-2	1	1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-1	-1	1	1	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0
χ₁₆	2	2	2	2	-2	-1	-2	1	1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	-1	-1	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	0	0	0	0
χ₁₇	2	2	-2	-2	2	2	-2	2	2	2	-1	-1	-1	-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	0	0	0	0
χ₁₈	2	2	-2	-2	2	-1	-2	-1	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	1	1	1	1	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0
χ₁₉	2	2	-2	-2	2	-1	-2	-1	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	1	1	1	1	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0
χ₂₀	2	2	-2	-2	2	-1	-2	-1	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	1	1	1	1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	0	0	0	0
χ₂₁	2	2	-2	-2	-2	2	2	-2	-2	2	-1	-1	-1	-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	0	0	0	0
χ₂₂	2	2	-2	-2	-2	-1	2	1	1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	1	1	-1	-1	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0
χ₂₃	2	2	-2	-2	-2	-1	2	1	1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	1	1	-1	-1	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0
χ₂₄	2	2	-2	-2	-2	-1	2	1	1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	1	1	-1	-1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	0	0	0	0
χ₂₅	2	-2	$2 i$	$- 2 i$	0	2	0	0	0	-2	2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	-2	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	-2	$2 i$	$- 2 i$	0	2	0	0	0	-2	-1	-1	-1	$2 i$	$- 2 i$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	$- i$	$i$	$- i$	$i$	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₂₇	2	-2	$2 i$	$- 2 i$	0	2	0	0	0	-2	-1	-1	-1	$2 i$	$- 2 i$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₈	2	-2	$2 i$	$- 2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	−ζ²³−ζ³¹	ζ²³+ζ³¹	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0
χ₂₉	2	-2	$2 i$	$- 2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²³−ζ³¹	ζ²³+ζ³¹	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0
χ₃₀	2	-2	$2 i$	$- 2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	−ζ²³−ζ³¹	ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	0	0	0	0
χ₃₁	2	-2	$2 i$	$- 2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	−ζ²³−ζ³¹	ζ²³+ζ³¹	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	0	0	0	0
χ₃₂	2	-2	$2 i$	$- 2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²³−ζ³¹	ζ²³+ζ³¹	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0
χ₃₃	2	-2	$2 i$	$- 2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ⁷+ζ²³+ζ³⁵	ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	−ζ²³−ζ³¹	ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	0	0	0	0
χ₃₄	2	-2	$- 2 i$	$2 i$	0	2	0	0	0	-2	2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	-2	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0
χ₃₅	2	-2	$- 2 i$	$2 i$	0	2	0	0	0	-2	-1	-1	-1	$- 2 i$	$2 i$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	$i$	$- i$	$i$	$- i$	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₃₆	2	-2	$- 2 i$	$2 i$	0	2	0	0	0	-2	-1	-1	-1	$- 2 i$	$2 i$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	$i$	$- i$	$i$	$- i$	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₃₇	2	-2	$- 2 i$	$2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	ζ²³+ζ³¹	−ζ²³−ζ³¹	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	0	0	0	0
χ₃₈	2	-2	$- 2 i$	$2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ²³+ζ³¹	−ζ²³−ζ³¹	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0
χ₃₉	2	-2	$- 2 i$	$2 i$	0	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	ζ²³+ζ³¹	−ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ²³+ζ³¹	0	0	0	0
χ₄₀	2	-2	$- 2 i$	$2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	ζ²³+ζ³¹	−ζ²³−ζ³¹	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0
χ₄₁	2	-2	$- 2 i$	$2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ²³+ζ³¹	−ζ²³−ζ³¹	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0
χ₄₂	2	-2	$- 2 i$	$2 i$	0	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶+ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ⁷−ζ²³−ζ³⁵	−ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹+ζ³⁵	ζ⁷+ζ³¹−ζ³⁵	ζ²³+ζ³¹	−ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ²³−ζ³¹	0	0	0	0

Character table — Group #3697