Group #63199 — 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
size	1	1	1	6	6	6	6	9	9	9	1	1	1	6	6	6	6	9	9	9	1	1	1	6	6	6	6	9	9	9	1	1	1	6	6	6	6	9	9	9	1	1	1	6	6	6	6	9	9	9
order	1	3	3	3	3	3	3	2	6	6	5	15	15	15	15	15	15	10	30	30	5	15	15	15	15	15	15	10	30	30	5	15	15	15	15	15	15	10	30	30	5	15	15	15	15	15	15	10	30	30
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
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
χ₃	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	-1	0	0	0
χ₄	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0	2	2	2	-1	2	-1	-1	0	0	0
χ₅	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0	2	2	2	-1	-1	2	-1	0	0	0
χ₆	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0	2	2	2	-1	-1	-1	2	0	0	0
χ₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷
χ₁₂	1	1	1	1	1	1	1	-1	-1	-1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷
χ₁₃	2	2	2	2	-1	-1	-1	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0
χ₁₄	2	2	2	-1	2	-1	-1	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0
χ₁₅	2	2	2	-1	-1	2	-1	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	0	0	0
χ₁₆	2	2	2	-1	-1	-1	2	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	0	0	0
χ₁₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	−ζ⁸−ζ¹³	ζ⁸	ζ¹³	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	−ζ−ζ¹¹	ζ¹¹	ζ	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ¹⁴	ζ⁴	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	−ζ²−ζ⁷	ζ²	ζ⁷
χ₁₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	ζ⁸+ζ¹³	−ζ⁸	−ζ¹³	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	ζ+ζ¹¹	−ζ¹¹	−ζ	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ¹⁴	−ζ⁴	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	ζ²+ζ⁷	−ζ²	−ζ⁷
χ₁₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	−ζ⁸−ζ¹³	ζ¹³	ζ⁸	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	−ζ−ζ¹¹	ζ	ζ¹¹	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ⁴	ζ¹⁴	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	−ζ²−ζ⁷	ζ⁷	ζ²
χ₂₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	ζ⁸+ζ¹³	−ζ¹³	−ζ⁸	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	ζ+ζ¹¹	−ζ	−ζ¹¹	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ⁴	−ζ¹⁴	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	ζ²+ζ⁷	−ζ⁷	−ζ²
χ₂₁	1	1	1	1	1	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴
χ₂₂	1	1	1	1	1	1	1	-1	-1	-1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴
χ₂₃	2	2	2	2	-1	-1	-1	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0
χ₂₄	2	2	2	-1	2	-1	-1	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0
χ₂₅	2	2	2	-1	-1	2	-1	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0
χ₂₆	2	2	2	-1	-1	-1	2	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	0	0	0
χ₂₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	−ζ−ζ¹¹	ζ¹¹	ζ	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	−ζ²−ζ⁷	ζ²	ζ⁷	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	−ζ⁸−ζ¹³	ζ⁸	ζ¹³	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ¹⁴	ζ⁴
χ₂₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	ζ+ζ¹¹	−ζ¹¹	−ζ	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	ζ²+ζ⁷	−ζ²	−ζ⁷	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	ζ⁸+ζ¹³	−ζ⁸	−ζ¹³	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ¹⁴	−ζ⁴
χ₂₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	−ζ−ζ¹¹	ζ	ζ¹¹	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	−ζ²−ζ⁷	ζ⁷	ζ²	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	−ζ⁸−ζ¹³	ζ¹³	ζ⁸	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ⁴	ζ¹⁴
χ₃₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	ζ+ζ¹¹	−ζ	−ζ¹¹	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	ζ²+ζ⁷	−ζ⁷	−ζ²	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	ζ⁸+ζ¹³	−ζ¹³	−ζ⁸	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ⁴	−ζ¹⁴
χ₃₁	1	1	1	1	1	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹
χ₃₂	1	1	1	1	1	1	1	-1	-1	-1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹
χ₃₃	2	2	2	2	-1	-1	-1	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0
χ₃₄	2	2	2	-1	2	-1	-1	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0
χ₃₅	2	2	2	-1	-1	2	-1	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	0	0	0
χ₃₆	2	2	2	-1	-1	-1	2	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	0	0	0
χ₃₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ¹⁴	ζ⁴	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	−ζ⁸−ζ¹³	ζ⁸	ζ¹³	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	−ζ²−ζ⁷	ζ²	ζ⁷	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	−ζ−ζ¹¹	ζ¹¹	ζ
χ₃₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ¹⁴	−ζ⁴	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	ζ⁸+ζ¹³	−ζ⁸	−ζ¹³	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	ζ²+ζ⁷	−ζ²	−ζ⁷	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	ζ+ζ¹¹	−ζ¹¹	−ζ
χ₃₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ⁴	ζ¹⁴	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	−ζ⁸−ζ¹³	ζ¹³	ζ⁸	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	−ζ²−ζ⁷	ζ⁷	ζ²	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	−ζ−ζ¹¹	ζ	ζ¹¹
χ₄₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ⁴	−ζ¹⁴	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	ζ⁸+ζ¹³	−ζ¹³	−ζ⁸	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	ζ²+ζ⁷	−ζ⁷	−ζ²	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	ζ+ζ¹¹	−ζ	−ζ¹¹
χ₄₁	1	1	1	1	1	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³
χ₄₂	1	1	1	1	1	1	1	-1	-1	-1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³
χ₄₃	2	2	2	2	-1	-1	-1	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0
χ₄₄	2	2	2	-1	2	-1	-1	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	0	0
χ₄₅	2	2	2	-1	-1	2	-1	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	0	0	0
χ₄₆	2	2	2	-1	-1	-1	2	0	0	0	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	−2ζ²−2ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	−2ζ²−2ζ⁷	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	−2ζ⁴−2ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	−2ζ⁴−2ζ¹⁴	0	0	0	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	−2ζ−2ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	−2ζ−2ζ¹¹	0	0	0	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	−2ζ⁸−2ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	−2ζ⁸−2ζ¹³	0	0	0
χ₄₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	−ζ²−ζ⁷	ζ²	ζ⁷	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ¹⁴	ζ⁴	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	−ζ−ζ¹¹	ζ¹¹	ζ	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	−ζ⁸−ζ¹³	ζ⁸	ζ¹³
χ₄₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−3ζ²−3ζ⁷	3ζ²	3ζ⁷	0	0	0	0	ζ²+ζ⁷	−ζ²	−ζ⁷	−3ζ⁴−3ζ¹⁴	3ζ¹⁴	3ζ⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ¹⁴	−ζ⁴	−3ζ−3ζ¹¹	3ζ¹¹	3ζ	0	0	0	0	ζ+ζ¹¹	−ζ¹¹	−ζ	−3ζ⁸−3ζ¹³	3ζ⁸	3ζ¹³	0	0	0	0	ζ⁸+ζ¹³	−ζ⁸	−ζ¹³
χ₄₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	−ζ²−ζ⁷	ζ⁷	ζ²	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	−ζ⁴−ζ¹⁴	ζ⁴	ζ¹⁴	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	−ζ−ζ¹¹	ζ	ζ¹¹	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	−ζ⁸−ζ¹³	ζ¹³	ζ⁸
χ₅₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−3ζ²−3ζ⁷	3ζ⁷	3ζ²	0	0	0	0	ζ²+ζ⁷	−ζ⁷	−ζ²	−3ζ⁴−3ζ¹⁴	3ζ⁴	3ζ¹⁴	0	0	0	0	ζ⁴+ζ¹⁴	−ζ⁴	−ζ¹⁴	−3ζ−3ζ¹¹	3ζ	3ζ¹¹	0	0	0	0	ζ+ζ¹¹	−ζ	−ζ¹¹	−3ζ⁸−3ζ¹³	3ζ¹³	3ζ⁸	0	0	0	0	ζ⁸+ζ¹³	−ζ¹³	−ζ⁸

Character table — Group #63199