Group #72267870 — 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
size	1	1	3	3	4	4	6	6	6	6	8	8	12	12	32	32	32	32	48	48	48	48	48	96	96	96	96	96	96	192	192	192	192	192	192	192	192	192	192	192	192	192	192	192	192	256	256	256	256	256	256	256	256	512	512	512	512	512	512	512	512	512	512	512	512
order	1	2	2	2	2	2	2	2	2	2	4	4	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	3	3	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12
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
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-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	0	0
χ₈	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-3	-3	3	3	3	3	3	-3	-3	-3	-3	3	3	-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	0	0
χ₉	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	2	2	-2	-2	0	0	-4	0	0	2	2	-2	-2	0	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	-1	-1
χ₁₀	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	2	2	-2	-2	0	0	-4	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₁	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	2	2	-2	-2	0	0	-4	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₂	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	-2	-2	2	2	0	0	-4	0	0	-2	-2	2	2	0	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	1	1
χ₁₃	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	-2	-2	2	2	0	0	-4	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₄	4	4	4	4	4	4	4	4	4	4	-4	-4	4	4	-2	-2	2	2	0	0	-4	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₅	6	6	6	6	6	6	6	6	6	6	6	6	6	6	0	0	0	0	-2	-2	6	-2	-2	0	0	0	0	-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
χ₁₆	6	6	6	6	6	6	6	6	6	6	6	6	6	6	0	0	0	0	-2	-2	6	-2	-2	0	0	0	0	-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
χ₁₇	6	6	6	6	6	6	-2	-2	-2	-2	-6	-6	-2	-2	0	0	0	0	2	2	2	2	2	0	0	0	0	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	6	6	6	6	6	6	-2	-2	-2	-2	-6	-6	-2	-2	0	0	0	0	2	2	2	2	2	0	0	0	0	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	6	6	6	6	6	-2	-2	-2	-2	-6	-6	-2	-2	0	0	0	0	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	6	6	6	6	6	6	-2	-2	-2	-2	-6	-6	-2	-2	0	0	0	0	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	2	2	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	8	8	8	8	-8	-8	-8	-8	-8	-8	0	0	8	8	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	2	2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	8	8	8	8	-8	-8	-8	-8	-8	-8	0	0	8	8	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	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	8	8	8	8	-8	-8	-8	-8	-8	-8	0	0	8	8	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	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	8	-8	-8	8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	-8	-8	8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	-8	-8	8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	$2 i$	$- 2 i$	2	-2	0	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	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$
χ₂₈	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²²	−ζ²²	ζ²²	−ζ²²	ζ¹⁴	−ζ¹⁴	ζ¹⁴	−ζ¹⁴
χ₂₉	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁴	−ζ¹⁴	ζ¹⁴	−ζ¹⁴	ζ²²	−ζ²²	ζ²²	−ζ²²
χ₃₀	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	$- 2 i$	$2 i$	-2	2	0	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	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
χ₃₁	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²²	−ζ²²	−ζ²²	ζ²²	ζ¹⁴	−ζ¹⁴	−ζ¹⁴	ζ¹⁴
χ₃₂	8	-8	-8	8	-8	8	0	0	0	0	$8 i$	$- 8 i$	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁴	−ζ¹⁴	−ζ¹⁴	ζ¹⁴	ζ²²	−ζ²²	−ζ²²	ζ²²
χ₃₃	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	$2 i$	$- 2 i$	-2	2	0	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	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₃₄	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−ζ²²	ζ²²	ζ²²	−ζ²²	−ζ¹⁴	ζ¹⁴	ζ¹⁴	−ζ¹⁴
χ₃₅	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−ζ¹⁴	ζ¹⁴	ζ¹⁴	−ζ¹⁴	−ζ²²	ζ²²	ζ²²	−ζ²²
χ₃₆	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	$- 2 i$	$2 i$	2	-2	0	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	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$
χ₃₇	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ²²	ζ²²	−ζ²²	ζ²²	−ζ¹⁴	ζ¹⁴	−ζ¹⁴	ζ¹⁴
χ₃₈	8	-8	-8	8	-8	8	0	0	0	0	$- 8 i$	$8 i$	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ¹⁴	ζ¹⁴	−ζ¹⁴	ζ¹⁴	−ζ²²	ζ²²	−ζ²²	ζ²²
χ₃₉	12	12	12	12	12	12	-4	-4	-4	-4	12	12	-4	-4	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₄₀	12	12	12	12	12	12	-4	-4	-4	-4	12	12	-4	-4	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₄₁	12	12	12	12	12	12	-4	-4	-4	-4	-12	-12	-4	-4	0	0	0	0	-4	-4	4	-4	-4	0	0	0	0	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
χ₄₂	12	12	12	12	-12	-12	4	4	4	4	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₄₃	12	12	12	12	-12	-12	4	4	4	4	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-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
χ₄₄	12	12	12	12	-12	-12	4	4	4	4	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	-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
χ₄₅	12	12	12	12	-12	-12	4	4	4	4	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	-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
χ₄₆	12	-12	4	-4	0	0	0	0	8	-8	0	0	4	-4	0	0	6	-6	2	2	0	-2	-2	0	0	-2	2	2	-2	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	12	-12	4	-4	0	0	0	0	8	-8	0	0	4	-4	0	0	6	-6	2	2	0	-2	-2	0	0	-2	2	2	-2	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	-12	4	-4	0	0	0	0	8	-8	0	0	4	-4	0	0	-6	6	2	2	0	-2	-2	0	0	2	-2	2	-2	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	-12	4	-4	0	0	0	0	8	-8	0	0	4	-4	0	0	-6	6	2	2	0	-2	-2	0	0	2	-2	2	-2	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	12	-12	4	-4	0	0	0	0	-8	8	0	0	4	-4	$6 i$	$- 6 i$	0	0	-2	-2	0	2	2	$- 2 i$	$2 i$	0	0	2	-2	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	12	-12	4	-4	0	0	0	0	-8	8	0	0	4	-4	$6 i$	$- 6 i$	0	0	-2	-2	0	2	2	$- 2 i$	$2 i$	0	0	2	-2	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	-12	4	-4	0	0	0	0	-8	8	0	0	4	-4	$- 6 i$	$6 i$	0	0	-2	-2	0	2	2	$2 i$	$- 2 i$	0	0	2	-2	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	12	-12	4	-4	0	0	0	0	-8	8	0	0	4	-4	$- 6 i$	$6 i$	0	0	-2	-2	0	2	2	$2 i$	$- 2 i$	0	0	2	-2	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	24	24	-8	-8	0	0	-8	-8	8	8	0	0	0	0	6	6	6	6	-4	4	0	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
χ₅₅	24	24	-8	-8	0	0	-8	-8	8	8	0	0	0	0	6	6	-6	-6	4	-4	0	-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
χ₅₆	24	24	-8	-8	0	0	-8	-8	8	8	0	0	0	0	-6	-6	6	6	4	-4	0	-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
χ₅₇	24	24	-8	-8	0	0	-8	-8	8	8	0	0	0	0	-6	-6	-6	-6	-4	4	0	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
χ₅₈	24	-24	8	-8	0	0	0	0	16	-16	0	0	8	-8	0	0	0	0	-4	-4	0	4	4	0	0	0	0	-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
χ₅₉	24	-24	8	-8	0	0	0	0	-16	16	0	0	8	-8	0	0	0	0	4	4	0	-4	-4	0	0	0	0	-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
χ₆₀	24	-24	8	-8	0	0	16	-16	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₆₁	24	-24	8	-8	0	0	16	-16	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₆₂	24	-24	8	-8	0	0	-16	16	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₆₃	24	-24	8	-8	0	0	-16	16	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₆₄	24	-24	-24	24	24	-24	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	-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	0
χ₆₅	48	48	-16	-16	0	0	16	16	-16	-16	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72267870