Group #91521 — 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	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	6	6	8	8	8	8	8	8	8	8	8	10	10	12	12	12	12	12	15	15	20	20	20	24	24	30	40	60
order	1	2	3	4	5	5	6	10	10	4	12	15	15	20	20	30	30	8	8	12	20	20	60	60	60	60	60	60	8	8	4	40	40	40	40	4	4	2	24	24	20	20	2	6	2
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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	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
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
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
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
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
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
χ₉	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₁₀	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₁₁	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₁₂	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₁₃	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₁₄	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₁₅	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₁₆	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₁₇	2	2	2	-2	2	2	2	2	2	0	-2	2	2	-2	-2	2	2	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	-2	0	0
χ₁₈	2	2	2	-2	2	2	2	2	2	0	-2	2	2	-2	-2	2	2	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	2	0	0
χ₁₉	2	2	-1	2	2	2	-1	2	2	2	-1	-1	-1	2	2	-1	-1	0	0	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	2	-1	-1	0	0	0	-1	0
χ₂₀	2	2	-1	2	2	2	-1	2	2	2	-1	-1	-1	2	2	-1	-1	0	0	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	-2	1	1	0	0	0	1	0
χ₂₁	2	2	-1	2	2	2	-1	2	2	-2	-1	-1	-1	2	2	-1	-1	0	0	1	-2	-2	-1	-1	1	1	1	1	2	2	0	0	0	0	0	0	0	-2	-1	-1	0	0	0	1	0
χ₂₂	2	2	-1	2	2	2	-1	2	2	-2	-1	-1	-1	2	2	-1	-1	0	0	1	-2	-2	-1	-1	1	1	1	1	-2	-2	0	0	0	0	0	0	0	2	1	1	0	0	0	-1	0
χ₂₃	2	-2	2	0	2	2	-2	-2	-2	0	0	2	2	0	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₄	2	-2	2	0	2	2	-2	-2	-2	0	0	2	2	0	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₂₅	2	-2	2	0	2	2	-2	-2	-2	0	0	2	2	0	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₆	2	-2	2	0	2	2	-2	-2	-2	0	0	2	2	0	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₂₇	4	4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-2	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-2	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-4	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	2	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-2	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-2	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-4	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	2	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-2	-4	4	4	-2	4	4	0	2	-2	-2	-4	-4	-2	-2	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-2	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ²⁸−ζ⁵²−ζ⁶⁸+ζ⁹²	−ζ²⁸+ζ⁵²+ζ⁶⁸−ζ⁹²	−ζ⁴+ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	ζ⁴−ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-2	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−ζ²⁸+ζ⁵²+ζ⁶⁸−ζ⁹²	ζ²⁸−ζ⁵²−ζ⁶⁸+ζ⁹²	ζ⁴−ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	−ζ⁴+ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-2	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−ζ⁴+ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	ζ⁴−ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	−ζ²⁸+ζ⁵²+ζ⁶⁸−ζ⁹²	ζ²⁸−ζ⁵²−ζ⁶⁸+ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-2	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴−ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	−ζ⁴+ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	ζ²⁸−ζ⁵²−ζ⁶⁸+ζ⁹²	−ζ²⁸+ζ⁵²+ζ⁶⁸−ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-4	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³+ζ⁷⁷−ζ¹⁰³	ζ⁷−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³−ζ⁷⁷+ζ¹⁰³	ζ²⁹−ζ³¹+ζ⁶¹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹⁹	−ζ²⁹+ζ³¹−ζ⁶¹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-4	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³−ζ⁷⁷+ζ¹⁰³	−ζ⁷+ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³+ζ⁷⁷−ζ¹⁰³	−ζ²⁹+ζ³¹−ζ⁶¹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹⁹	ζ²⁹−ζ³¹+ζ⁶¹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-4	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁹−ζ³¹+ζ⁶¹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹⁹	−ζ²⁹+ζ³¹−ζ⁶¹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹⁹	−ζ⁷+ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³+ζ⁷⁷−ζ¹⁰³	ζ⁷−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³−ζ⁷⁷+ζ¹⁰³	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-4	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁹+ζ³¹−ζ⁶¹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹⁹	ζ²⁹−ζ³¹+ζ⁶¹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹⁹	ζ⁷−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³−ζ⁷⁷+ζ¹⁰³	−ζ⁷+ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³+ζ⁷⁷−ζ¹⁰³	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	-2	0	4	4	2	-4	-4	0	0	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₄₃	4	-4	-2	0	4	4	2	-4	-4	0	0	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₄₄	8	-8	-4	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	4	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	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
χ₄₅	8	-8	-4	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	4	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	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 #91521