Group #13088719 — 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	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁
size	1	2	4	4	4	5	10	15	15	1	2	4	4	4	5	10	15	15	2	4	8	8	8	10	20	30	30	2	4	8	8	8	10	20	30	30	2	4	8	8	8	10	20	30	30	2	4	8	8	8	10	20	30	30	2	4	8	8	8	10	20	30	30	6	12	24	24	24	30	60	90	90	6	12	24	24	24	30	60	90	90
order	1	3	5	15	15	2	6	4	4	2	6	10	30	30	2	6	4	4	2	6	10	30	30	2	6	4	4	3	3	15	15	15	6	6	12	12	6	6	30	30	30	6	6	12	12	6	6	30	30	30	6	6	12	12	6	6	30	30	30	6	6	12	12	2	6	10	30	30	2	6	4	4	4	12	20	60	60	4	12	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	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	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	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$
χ₅	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0
χ₆	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0
χ₇	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0
χ₈	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0
χ₉	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₁	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₂	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₁₃	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₁₄	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0
χ₁₅	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0
χ₁₆	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0
χ₁₇	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0
χ₁₈	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₀	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₁	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₂₂	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₂₃	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0
χ₂₄	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0
χ₂₅	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0
χ₂₆	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0
χ₂₇	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1
χ₂₉	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1
χ₃₀	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$
χ₃₁	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$
χ₃₂	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0
χ₃₃	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0
χ₃₄	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0
χ₃₅	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0
χ₃₆	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0
χ₃₇	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	-1	-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
χ₃₈	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	-1	-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
χ₃₉	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-2	4	-2	-2	4	-2	0	0	4	-2	4	-2	-2	4	-2	0	0	4	-2	4	-2	-2	4	-2	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-2	4	-2	-2	-4	2	0	0	4	-2	4	-2	-2	-4	2	0	0	4	-2	4	-2	-2	-4	2	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	8	-2	-2	-2	0	0	0	0	8	8	-2	-2	-2	0	0	0	0	8	8	-2	-2	-2	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	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
χ₄₄	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	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	1	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
χ₄₇	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	1	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
χ₄₈	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-2	4	-2	-2	4	-2	0	0	4	-2	4	-2	-2	4	-2	0	0	-4	2	-4	2	2	-4	2	0	0	-2	1	-2	1	1	-2	1	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-2	4	-2	-2	-4	2	0	0	4	-2	4	-2	-2	-4	2	0	0	-4	2	-4	2	2	4	-2	0	0	-2	1	-2	1	1	2	-1	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	8	-2	-2	-2	0	0	0	0	8	8	-2	-2	-2	0	0	0	0	-8	-8	2	2	2	0	0	0	0	-4	-4	1	1	1	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-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
χ₅₃	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	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	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	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	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	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
χ₅₈	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	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
χ₅₉	4	-2	4	-2	-2	4	-2	0	0	-4	2	-4	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	4	-2	4	-2	-2	4	-2	0	0	-4	2	-4	2	2	-4	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
χ₆₀	4	-2	4	-2	-2	-4	2	0	0	-4	2	-4	2	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	4	-2	4	-2	-2	-4	2	0	0	-4	2	-4	2	2	4	-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
χ₆₁	8	8	-2	-2	-2	0	0	0	0	-8	-8	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-2	-2	-2	0	0	0	0	-8	-8	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
χ₆₂	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	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	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	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
χ₆₄	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	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	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-2	4	-2	-2	4	-2	0	0	-4	2	-4	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	$2 i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	4	-2	4	-2	-2	-4	2	0	0	-4	2	-4	2	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	$2 i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	0	0	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	8	8	-2	-2	-2	0	0	0	0	-8	-8	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	$4 i \sqrt{3}$	$4 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	$- 4 i \sqrt{3}$	$- 4 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	$4 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- i \sqrt{3}$	2ζ²−ζ¹⁴+ζ²²−ζ²⁶−2ζ³⁴+2ζ³⁸−2ζ⁴⁶+ζ⁵⁸	−ζ²+2ζ¹⁴−2ζ²²+2ζ²⁶+ζ³⁴−ζ³⁸+ζ⁴⁶−2ζ⁵⁸	0	0	0	0	$- 4 i \sqrt{3}$	$2 i \sqrt{3}$	$i \sqrt{3}$	−2ζ²+ζ¹⁴−ζ²²+ζ²⁶+2ζ³⁴−2ζ³⁸+2ζ⁴⁶−ζ⁵⁸	ζ²−2ζ¹⁴+2ζ²²−2ζ²⁶−ζ³⁴+ζ³⁸−ζ⁴⁶+2ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	$4 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- i \sqrt{3}$	−ζ²+2ζ¹⁴−2ζ²²+2ζ²⁶+ζ³⁴−ζ³⁸+ζ⁴⁶−2ζ⁵⁸	2ζ²−ζ¹⁴+ζ²²−ζ²⁶−2ζ³⁴+2ζ³⁸−2ζ⁴⁶+ζ⁵⁸	0	0	0	0	$- 4 i \sqrt{3}$	$2 i \sqrt{3}$	$i \sqrt{3}$	ζ²−2ζ¹⁴+2ζ²²−2ζ²⁶−ζ³⁴+ζ³⁸−ζ⁴⁶+2ζ⁵⁸	−2ζ²+ζ¹⁴−ζ²²+ζ²⁶+2ζ³⁴−2ζ³⁸+2ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	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	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	-1	-1	$i$	$- i$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	-1	-1	$- i$	$i$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	4	-2	4	-2	-2	4	-2	0	0	-4	2	-4	2	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	-2	1	-2	1	1	-2	1	0	0	2	-1	2	-1	-1	2	-1	0	0	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	0	0	$2 i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	4	-2	4	-2	-2	-4	2	0	0	-4	2	-4	2	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	-2	1	-2	1	1	2	-1	0	0	2	-1	2	-1	-1	-2	1	0	0	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	0	0	$2 i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	8	8	-2	-2	-2	0	0	0	0	-8	-8	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	1	1	1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	$- 4 i \sqrt{3}$	$- 4 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	$4 i \sqrt{3}$	$4 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	$- 4 i \sqrt{3}$	$2 i \sqrt{3}$	$i \sqrt{3}$	−2ζ²+ζ¹⁴−ζ²²+ζ²⁶+2ζ³⁴−2ζ³⁸+2ζ⁴⁶−ζ⁵⁸	ζ²−2ζ¹⁴+2ζ²²−2ζ²⁶−ζ³⁴+ζ³⁸−ζ⁴⁶+2ζ⁵⁸	0	0	0	0	$4 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- i \sqrt{3}$	2ζ²−ζ¹⁴+ζ²²−ζ²⁶−2ζ³⁴+2ζ³⁸−2ζ⁴⁶+ζ⁵⁸	−ζ²+2ζ¹⁴−2ζ²²+2ζ²⁶+ζ³⁴−ζ³⁸+ζ⁴⁶−2ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₁	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-8	4	2	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	$- 4 i \sqrt{3}$	$2 i \sqrt{3}$	$i \sqrt{3}$	ζ²−2ζ¹⁴+2ζ²²−2ζ²⁶−ζ³⁴+ζ³⁸−ζ⁴⁶+2ζ⁵⁸	−2ζ²+ζ¹⁴−ζ²²+ζ²⁶+2ζ³⁴−2ζ³⁸+2ζ⁴⁶−ζ⁵⁸	0	0	0	0	$4 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- i \sqrt{3}$	−ζ²+2ζ¹⁴−2ζ²²+2ζ²⁶+ζ³⁴−ζ³⁸+ζ⁴⁶−2ζ⁵⁸	2ζ²−ζ¹⁴+ζ²²−ζ²⁶−2ζ³⁴+2ζ³⁸−2ζ⁴⁶+ζ⁵⁸	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 #13088719