Group #13164547 — 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
size	1	1	2	2	2	2	2	2	2	2	3	3	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	108	108	108	108	216	216
order	1	2	3	3	3	3	6	6	6	6	2	2	4	4	6	6	6	6	6	6	6	6	4	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	9	9	9	9	9	9	9	9	9	18	18	18	18	18	18	18	18	18	8	8	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	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
χ₃	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₄	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₅	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₆	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₇	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₈	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₉	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₁₀	2	2	-1	-1	2	-1	-1	-1	2	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₁₁	2	2	-1	-1	2	-1	-1	-1	2	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₁₂	2	2	-1	-1	2	-1	-1	-1	2	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₁₃	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	0
χ₁₄	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0
χ₁₅	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	0	0	0	0	0	0
χ₁₆	2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₇	2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₁₈	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-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	1	1	1	1	-1	-1
χ₁₉	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-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	-1	-1	-1	-1	1	1
χ₂₀	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	1	-1
χ₂₁	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	-1	1
χ₂₂	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	1
χ₂₃	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	-1
χ₂₄	4	-4	4	4	4	4	-4	-4	-4	-4	4	-4	0	0	4	-4	4	-4	4	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₂₅	4	-4	4	-2	-2	-2	-4	2	2	2	4	-4	0	0	4	-4	-2	2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₂₆	4	-4	4	-2	-2	-2	-4	2	2	2	4	-4	0	0	4	-4	-2	2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₂₇	4	-4	4	-2	-2	-2	-4	2	2	2	4	-4	0	0	4	-4	-2	2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₂₈	4	-4	-2	4	-2	-2	2	-4	2	2	4	-4	0	0	-2	2	4	-4	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₂₉	4	-4	-2	4	-2	-2	2	-4	2	2	4	-4	0	0	-2	2	4	-4	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₃₀	4	-4	-2	4	-2	-2	2	-4	2	2	4	-4	0	0	-2	2	4	-4	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₃₁	4	-4	-2	-2	4	-2	2	2	-4	2	4	-4	0	0	-2	2	-2	2	4	-4	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	0	0	0	0
χ₃₂	4	-4	-2	-2	4	-2	2	2	-4	2	4	-4	0	0	-2	2	-2	2	4	-4	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0	0	0	0
χ₃₃	4	-4	-2	-2	4	-2	2	2	-4	2	4	-4	0	0	-2	2	-2	2	4	-4	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0	0	0	0
χ₃₄	4	-4	-2	-2	-2	4	2	2	2	-4	4	-4	0	0	-2	2	-2	2	-2	2	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-2	-2	1	1	1	-2	1	-1	-1	2	2	-1	-1	-1	2	-1	0	0	0	0	0	0
χ₃₅	4	-4	-2	-2	-2	4	2	2	2	-4	4	-4	0	0	-2	2	-2	2	-2	2	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-2	1	1	1	-2	-2	1	1	-1	2	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0
χ₃₆	4	-4	-2	-2	-2	4	2	2	2	-4	4	-4	0	0	-2	2	-2	2	-2	2	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	1	-2	1	1	1	-2	2	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	0
χ₃₇	6	6	6	6	6	6	6	6	6	6	-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
χ₃₈	6	6	6	-3	-3	-3	6	-3	-3	-3	6	6	-2	-2	6	6	-3	-3	-3	-3	-3	-3	-2	-2	-2	-2	-2	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	0	0	0
χ₃₉	6	6	6	-3	-3	-3	6	-3	-3	-3	-2	-2	6	-2	-2	-2	1	1	1	1	1	1	-2	6	-2	-2	-2	-3	1	1	1	-3	1	1	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	6	-3	-3	-3	6	-3	-3	-3	-2	-2	-2	6	-2	-2	1	1	1	1	1	1	-2	-2	6	-2	-2	1	-3	1	1	1	-3	1	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	6	-3	-3	-3	6	-3	-3	-3	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	2	-2	-2	2	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	6	-3	-3	-3	6	-3	-3	-3	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	2	-2	-2	2	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-3	6	-3	-3	-3	6	-3	-3	6	6	-2	-2	-3	-3	6	6	-3	-3	-3	-3	-2	1	1	1	1	-2	-2	-2	-2	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	0	0	0
χ₄₄	6	6	-3	6	-3	-3	-3	6	-3	-3	-2	-2	6	-2	1	1	-2	-2	1	1	1	1	-2	-3	1	1	1	6	-2	-2	-2	-3	1	1	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-3	6	-3	-3	-3	6	-3	-3	-2	-2	-2	6	1	1	-2	-2	1	1	1	1	-2	1	-3	1	1	-2	6	-2	-2	1	-3	1	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-3	6	-3	-3	-3	6	-3	-3	-2	-2	-2	-2	1	1	-2	-2	1	1	1	1	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-2	-2	2	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	-3	6	-3	-3	-3	6	-3	-3	-2	-2	-2	-2	1	1	-2	-2	1	1	1	1	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-2	-2	2	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	-3	-3	6	-3	-3	-3	6	-3	6	6	-2	-2	-3	-3	-3	-3	6	6	-3	-3	-2	1	1	1	1	1	1	1	1	-2	-2	-2	-2	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	0	0	0
χ₄₉	6	6	-3	-3	6	-3	-3	-3	6	-3	-2	-2	6	-2	1	1	1	1	-2	-2	1	1	-2	-3	1	1	1	-3	1	1	1	6	-2	-2	-2	-3	1	1	1	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	6	6	-3	-3	6	-3	-3	-3	6	-3	-2	-2	-2	6	1	1	1	1	-2	-2	1	1	-2	1	-3	1	1	1	-3	1	1	-2	6	-2	-2	1	-3	1	1	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	6	6	-3	-3	6	-3	-3	-3	6	-3	-2	-2	-2	-2	1	1	1	1	-2	-2	1	1	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-2	-2	2	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	6	6	-3	-3	6	-3	-3	-3	6	-3	-2	-2	-2	-2	1	1	1	1	-2	-2	1	1	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-2	-2	2	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	6	6	-3	-3	-3	6	-3	-3	-3	6	6	6	-2	-2	-3	-3	-3	-3	-3	-3	6	6	-2	1	1	1	1	1	1	1	1	1	1	1	1	-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
χ₅₄	6	6	-3	-3	-3	6	-3	-3	-3	6	-2	-2	6	-2	1	1	1	1	1	1	-2	-2	-2	-3	1	1	1	-3	1	1	1	-3	1	1	1	6	-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
χ₅₅	6	6	-3	-3	-3	6	-3	-3	-3	6	-2	-2	-2	6	1	1	1	1	1	1	-2	-2	-2	1	-3	1	1	1	-3	1	1	1	-3	1	1	-2	6	-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
χ₅₆	6	6	-3	-3	-3	6	-3	-3	-3	6	-2	-2	-2	-2	1	1	1	1	1	1	-2	-2	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-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
χ₅₇	6	6	-3	-3	-3	6	-3	-3	-3	6	-2	-2	-2	-2	1	1	1	1	1	1	-2	-2	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-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
χ₅₈	6	-6	6	6	6	6	-6	-6	-6	-6	-2	2	0	0	-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	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₅₉	6	-6	6	6	6	6	-6	-6	-6	-6	-2	2	0	0	-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	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₆₀	12	-12	12	-6	-6	-6	-12	6	6	6	-4	4	0	0	-4	4	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
χ₆₁	12	-12	-6	12	-6	-6	6	-12	6	6	-4	4	0	0	2	-2	-4	4	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
χ₆₂	12	-12	-6	-6	12	-6	6	6	-12	6	-4	4	0	0	2	-2	2	-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
χ₆₃	12	-12	-6	-6	-6	12	6	6	6	-12	-4	4	0	0	2	-2	2	-2	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

Character table — Group #13164547