Group #10597073 — 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
size	1	1	12	12	12	12	20	20	30	1	1	12	12	12	12	20	20	30	1	1	12	12	12	12	20	20	30	1	1	12	12	12	12	20	20	30	1	1	12	12	12	12	20	20	30
order	1	2	5	5	10	10	3	6	4	5	10	5	5	10	10	15	30	20	5	10	5	5	10	10	15	30	20	5	10	5	5	10	10	15	30	20	5	10	5	5	10	10	15	30	20
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
χ₂	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0
χ₃	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0
χ₄	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1
χ₅	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1
χ₆	4	4	-1	-1	-1	-1	1	1	0	4	4	-1	-1	-1	-1	1	1	0	4	4	-1	-1	-1	-1	1	1	0	4	4	-1	-1	-1	-1	1	1	0	4	4	-1	-1	-1	-1	1	1	0
χ₇	4	-4	-1	-1	1	1	1	-1	0	4	-4	-1	-1	1	1	1	-1	0	4	-4	-1	-1	1	1	1	-1	0	4	-4	-1	-1	1	1	1	-1	0	4	-4	-1	-1	1	1	1	-1	0
χ₈	5	5	0	0	0	0	-1	-1	1	5	5	0	0	0	0	-1	-1	1	5	5	0	0	0	0	-1	-1	1	5	5	0	0	0	0	-1	-1	1	5	5	0	0	0	0	-1	-1	1
χ₉	6	-6	1	1	-1	-1	0	0	0	6	-6	1	1	-1	-1	0	0	0	6	-6	1	1	-1	-1	0	0	0	6	-6	1	1	-1	-1	0	0	0	6	-6	1	1	-1	-1	0	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴
χ₁₁	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2ζ	−2ζ	1+ζ²	ζ³+ζ⁴	−1−ζ²	−ζ³−ζ⁴	−ζ	ζ	0	2ζ²	−2ζ²	ζ+ζ³	1+ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ²	ζ²	0	2ζ³	−2ζ³	ζ²+ζ⁴	1+ζ	−ζ²−ζ⁴	−1−ζ	−ζ³	ζ³	0	2ζ⁴	−2ζ⁴	1+ζ³	ζ+ζ²	−1−ζ³	−ζ−ζ²	−ζ⁴	ζ⁴	0
χ₁₂	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2ζ	−2ζ	ζ³+ζ⁴	1+ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ	ζ	0	2ζ²	−2ζ²	1+ζ⁴	ζ+ζ³	−1−ζ⁴	−ζ−ζ³	−ζ²	ζ²	0	2ζ³	−2ζ³	1+ζ	ζ²+ζ⁴	−1−ζ	−ζ²−ζ⁴	−ζ³	ζ³	0	2ζ⁴	−2ζ⁴	ζ+ζ²	1+ζ³	−ζ−ζ²	−1−ζ³	−ζ⁴	ζ⁴	0
χ₁₃	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3ζ	3ζ	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	0	0	−ζ	3ζ²	3ζ²	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	0	0	−ζ²	3ζ³	3ζ³	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	−1−ζ	0	0	−ζ³	3ζ⁴	3ζ⁴	−1−ζ³	−ζ−ζ²	−1−ζ³	−ζ−ζ²	0	0	−ζ⁴
χ₁₄	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3ζ	3ζ	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	0	0	−ζ	3ζ²	3ζ²	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	0	0	−ζ²	3ζ³	3ζ³	−1−ζ	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	0	0	−ζ³	3ζ⁴	3ζ⁴	−ζ−ζ²	−1−ζ³	−ζ−ζ²	−1−ζ³	0	0	−ζ⁴
χ₁₅	4	4	-1	-1	-1	-1	1	1	0	4ζ	4ζ	−ζ	−ζ	−ζ	−ζ	ζ	ζ	0	4ζ²	4ζ²	−ζ²	−ζ²	−ζ²	−ζ²	ζ²	ζ²	0	4ζ³	4ζ³	−ζ³	−ζ³	−ζ³	−ζ³	ζ³	ζ³	0	4ζ⁴	4ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	0
χ₁₆	4	-4	-1	-1	1	1	1	-1	0	4ζ	−4ζ	−ζ	−ζ	ζ	ζ	ζ	−ζ	0	4ζ²	−4ζ²	−ζ²	−ζ²	ζ²	ζ²	ζ²	−ζ²	0	4ζ³	−4ζ³	−ζ³	−ζ³	ζ³	ζ³	ζ³	−ζ³	0	4ζ⁴	−4ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	0
χ₁₇	5	5	0	0	0	0	-1	-1	1	5ζ	5ζ	0	0	0	0	−ζ	−ζ	ζ	5ζ²	5ζ²	0	0	0	0	−ζ²	−ζ²	ζ²	5ζ³	5ζ³	0	0	0	0	−ζ³	−ζ³	ζ³	5ζ⁴	5ζ⁴	0	0	0	0	−ζ⁴	−ζ⁴	ζ⁴
χ₁₈	6	-6	1	1	-1	-1	0	0	0	6ζ	−6ζ	ζ	ζ	−ζ	−ζ	0	0	0	6ζ²	−6ζ²	ζ²	ζ²	−ζ²	−ζ²	0	0	0	6ζ³	−6ζ³	ζ³	ζ³	−ζ³	−ζ³	0	0	0	6ζ⁴	−6ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³
χ₂₀	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2ζ²	−2ζ²	ζ+ζ³	1+ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ²	ζ²	0	2ζ⁴	−2ζ⁴	1+ζ³	ζ+ζ²	−1−ζ³	−ζ−ζ²	−ζ⁴	ζ⁴	0	2ζ	−2ζ	1+ζ²	ζ³+ζ⁴	−1−ζ²	−ζ³−ζ⁴	−ζ	ζ	0	2ζ³	−2ζ³	ζ²+ζ⁴	1+ζ	−ζ²−ζ⁴	−1−ζ	−ζ³	ζ³	0
χ₂₁	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2ζ²	−2ζ²	1+ζ⁴	ζ+ζ³	−1−ζ⁴	−ζ−ζ³	−ζ²	ζ²	0	2ζ⁴	−2ζ⁴	ζ+ζ²	1+ζ³	−ζ−ζ²	−1−ζ³	−ζ⁴	ζ⁴	0	2ζ	−2ζ	ζ³+ζ⁴	1+ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ	ζ	0	2ζ³	−2ζ³	1+ζ	ζ²+ζ⁴	−1−ζ	−ζ²−ζ⁴	−ζ³	ζ³	0
χ₂₂	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3ζ²	3ζ²	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	0	0	−ζ²	3ζ⁴	3ζ⁴	−1−ζ³	−ζ−ζ²	−1−ζ³	−ζ−ζ²	0	0	−ζ⁴	3ζ	3ζ	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	0	0	−ζ	3ζ³	3ζ³	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	−1−ζ	0	0	−ζ³
χ₂₃	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3ζ²	3ζ²	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	0	0	−ζ²	3ζ⁴	3ζ⁴	−ζ−ζ²	−1−ζ³	−ζ−ζ²	−1−ζ³	0	0	−ζ⁴	3ζ	3ζ	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	0	0	−ζ	3ζ³	3ζ³	−1−ζ	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	0	0	−ζ³
χ₂₄	4	4	-1	-1	-1	-1	1	1	0	4ζ²	4ζ²	−ζ²	−ζ²	−ζ²	−ζ²	ζ²	ζ²	0	4ζ⁴	4ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	0	4ζ	4ζ	−ζ	−ζ	−ζ	−ζ	ζ	ζ	0	4ζ³	4ζ³	−ζ³	−ζ³	−ζ³	−ζ³	ζ³	ζ³	0
χ₂₅	4	-4	-1	-1	1	1	1	-1	0	4ζ²	−4ζ²	−ζ²	−ζ²	ζ²	ζ²	ζ²	−ζ²	0	4ζ⁴	−4ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	0	4ζ	−4ζ	−ζ	−ζ	ζ	ζ	ζ	−ζ	0	4ζ³	−4ζ³	−ζ³	−ζ³	ζ³	ζ³	ζ³	−ζ³	0
χ₂₆	5	5	0	0	0	0	-1	-1	1	5ζ²	5ζ²	0	0	0	0	−ζ²	−ζ²	ζ²	5ζ⁴	5ζ⁴	0	0	0	0	−ζ⁴	−ζ⁴	ζ⁴	5ζ	5ζ	0	0	0	0	−ζ	−ζ	ζ	5ζ³	5ζ³	0	0	0	0	−ζ³	−ζ³	ζ³
χ₂₇	6	-6	1	1	-1	-1	0	0	0	6ζ²	−6ζ²	ζ²	ζ²	−ζ²	−ζ²	0	0	0	6ζ⁴	−6ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	0	0	6ζ	−6ζ	ζ	ζ	−ζ	−ζ	0	0	0	6ζ³	−6ζ³	ζ³	ζ³	−ζ³	−ζ³	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²
χ₂₉	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2ζ³	−2ζ³	ζ²+ζ⁴	1+ζ	−ζ²−ζ⁴	−1−ζ	−ζ³	ζ³	0	2ζ	−2ζ	1+ζ²	ζ³+ζ⁴	−1−ζ²	−ζ³−ζ⁴	−ζ	ζ	0	2ζ⁴	−2ζ⁴	1+ζ³	ζ+ζ²	−1−ζ³	−ζ−ζ²	−ζ⁴	ζ⁴	0	2ζ²	−2ζ²	ζ+ζ³	1+ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ²	ζ²	0
χ₃₀	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2ζ³	−2ζ³	1+ζ	ζ²+ζ⁴	−1−ζ	−ζ²−ζ⁴	−ζ³	ζ³	0	2ζ	−2ζ	ζ³+ζ⁴	1+ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ	ζ	0	2ζ⁴	−2ζ⁴	ζ+ζ²	1+ζ³	−ζ−ζ²	−1−ζ³	−ζ⁴	ζ⁴	0	2ζ²	−2ζ²	1+ζ⁴	ζ+ζ³	−1−ζ⁴	−ζ−ζ³	−ζ²	ζ²	0
χ₃₁	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3ζ³	3ζ³	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	−1−ζ	0	0	−ζ³	3ζ	3ζ	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	0	0	−ζ	3ζ⁴	3ζ⁴	−1−ζ³	−ζ−ζ²	−1−ζ³	−ζ−ζ²	0	0	−ζ⁴	3ζ²	3ζ²	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	0	0	−ζ²
χ₃₂	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3ζ³	3ζ³	−1−ζ	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	0	0	−ζ³	3ζ	3ζ	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	0	0	−ζ	3ζ⁴	3ζ⁴	−ζ−ζ²	−1−ζ³	−ζ−ζ²	−1−ζ³	0	0	−ζ⁴	3ζ²	3ζ²	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	0	0	−ζ²
χ₃₃	4	4	-1	-1	-1	-1	1	1	0	4ζ³	4ζ³	−ζ³	−ζ³	−ζ³	−ζ³	ζ³	ζ³	0	4ζ	4ζ	−ζ	−ζ	−ζ	−ζ	ζ	ζ	0	4ζ⁴	4ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	0	4ζ²	4ζ²	−ζ²	−ζ²	−ζ²	−ζ²	ζ²	ζ²	0
χ₃₄	4	-4	-1	-1	1	1	1	-1	0	4ζ³	−4ζ³	−ζ³	−ζ³	ζ³	ζ³	ζ³	−ζ³	0	4ζ	−4ζ	−ζ	−ζ	ζ	ζ	ζ	−ζ	0	4ζ⁴	−4ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	0	4ζ²	−4ζ²	−ζ²	−ζ²	ζ²	ζ²	ζ²	−ζ²	0
χ₃₅	5	5	0	0	0	0	-1	-1	1	5ζ³	5ζ³	0	0	0	0	−ζ³	−ζ³	ζ³	5ζ	5ζ	0	0	0	0	−ζ	−ζ	ζ	5ζ⁴	5ζ⁴	0	0	0	0	−ζ⁴	−ζ⁴	ζ⁴	5ζ²	5ζ²	0	0	0	0	−ζ²	−ζ²	ζ²
χ₃₆	6	-6	1	1	-1	-1	0	0	0	6ζ³	−6ζ³	ζ³	ζ³	−ζ³	−ζ³	0	0	0	6ζ	−6ζ	ζ	ζ	−ζ	−ζ	0	0	0	6ζ⁴	−6ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	0	0	6ζ²	−6ζ²	ζ²	ζ²	−ζ²	−ζ²	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ³	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ²	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ	ζ
χ₃₈	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	1	0	2ζ⁴	−2ζ⁴	1+ζ³	ζ+ζ²	−1−ζ³	−ζ−ζ²	−ζ⁴	ζ⁴	0	2ζ³	−2ζ³	ζ²+ζ⁴	1+ζ	−ζ²−ζ⁴	−1−ζ	−ζ³	ζ³	0	2ζ²	−2ζ²	ζ+ζ³	1+ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ²	ζ²	0	2ζ	−2ζ	1+ζ²	ζ³+ζ⁴	−1−ζ²	−ζ³−ζ⁴	−ζ	ζ	0
χ₃₉	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	1	0	2ζ⁴	−2ζ⁴	ζ+ζ²	1+ζ³	−ζ−ζ²	−1−ζ³	−ζ⁴	ζ⁴	0	2ζ³	−2ζ³	1+ζ	ζ²+ζ⁴	−1−ζ	−ζ²−ζ⁴	−ζ³	ζ³	0	2ζ²	−2ζ²	1+ζ⁴	ζ+ζ³	−1−ζ⁴	−ζ−ζ³	−ζ²	ζ²	0	2ζ	−2ζ	ζ³+ζ⁴	1+ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ	ζ	0
χ₄₀	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-1	3ζ⁴	3ζ⁴	−1−ζ³	−ζ−ζ²	−1−ζ³	−ζ−ζ²	0	0	−ζ⁴	3ζ³	3ζ³	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	−1−ζ	0	0	−ζ³	3ζ²	3ζ²	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	0	0	−ζ²	3ζ	3ζ	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	0	0	−ζ
χ₄₁	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-1	3ζ⁴	3ζ⁴	−ζ−ζ²	−1−ζ³	−ζ−ζ²	−1−ζ³	0	0	−ζ⁴	3ζ³	3ζ³	−1−ζ	−ζ²−ζ⁴	−1−ζ	−ζ²−ζ⁴	0	0	−ζ³	3ζ²	3ζ²	−1−ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ−ζ³	0	0	−ζ²	3ζ	3ζ	−ζ³−ζ⁴	−1−ζ²	−ζ³−ζ⁴	−1−ζ²	0	0	−ζ
χ₄₂	4	4	-1	-1	-1	-1	1	1	0	4ζ⁴	4ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	0	4ζ³	4ζ³	−ζ³	−ζ³	−ζ³	−ζ³	ζ³	ζ³	0	4ζ²	4ζ²	−ζ²	−ζ²	−ζ²	−ζ²	ζ²	ζ²	0	4ζ	4ζ	−ζ	−ζ	−ζ	−ζ	ζ	ζ	0
χ₄₃	4	-4	-1	-1	1	1	1	-1	0	4ζ⁴	−4ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	0	4ζ³	−4ζ³	−ζ³	−ζ³	ζ³	ζ³	ζ³	−ζ³	0	4ζ²	−4ζ²	−ζ²	−ζ²	ζ²	ζ²	ζ²	−ζ²	0	4ζ	−4ζ	−ζ	−ζ	ζ	ζ	ζ	−ζ	0
χ₄₄	5	5	0	0	0	0	-1	-1	1	5ζ⁴	5ζ⁴	0	0	0	0	−ζ⁴	−ζ⁴	ζ⁴	5ζ³	5ζ³	0	0	0	0	−ζ³	−ζ³	ζ³	5ζ²	5ζ²	0	0	0	0	−ζ²	−ζ²	ζ²	5ζ	5ζ	0	0	0	0	−ζ	−ζ	ζ
χ₄₅	6	-6	1	1	-1	-1	0	0	0	6ζ⁴	−6ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	0	0	6ζ³	−6ζ³	ζ³	ζ³	−ζ³	−ζ³	0	0	0	6ζ²	−6ζ²	ζ²	ζ²	−ζ²	−ζ²	0	0	0	6ζ	−6ζ	ζ	ζ	−ζ	−ζ	0	0	0

Character table — Group #10597073