Group #72268929 — 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	C₈₂	C₈₃	C₈₄
size	1	1	1	1	2	2	3	3	3	3	6	6	8	8	8	16	16	16	16	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	32	32	32	32	32	32	32	32	32	32	48	48	48	48	96	96	128	128	128	128	128	128	128	128	128	128	128	128	128	128	192	192	192	192	192	192	192	192	192	192	192	192	192	192	192	192
order	1	2	2	2	2	2	2	2	2	2	2	2	2	2	4	2	2	4	4	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	3	4	4	6	6	6	6	6	6	6	4	4	4	4	4	4	6	6	6	6	6	6	12	12	12	12	12	12	12	12	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8
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	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	-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	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	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	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	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	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
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	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	2	2	-2	-2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	2	0	0	2	2	2	2	2	2	2	-2	2	2	-2	0	0	0	0	0	0	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
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	2	2	-2	-2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	-1	0	0	-1	-1	-1	-1	-1	-1	-1	-2	2	2	-2	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	2	2	-2	-2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	-1	0	0	-1	-1	-1	-1	-1	-1	-1	-2	2	2	-2	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	-2	2	2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	2	0	0	2	2	2	2	2	2	2	2	-2	-2	2	0	0	0	0	0	0	-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
χ₁₃	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	-2	2	2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	-1	0	0	-1	-1	-1	-1	-1	-1	-1	2	-2	-2	2	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	-1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	-2	2	2	-2	-2	-2	-2	0	0	2	2	2	2	-2	0	0	0	0	0	0	0	0	-1	0	0	-1	-1	-1	-1	-1	-1	-1	2	-2	-2	2	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	-1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₅	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	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-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
χ₁₆	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	2	2	2	2	2	2	2	2	2	2	2	-1	-2	-2	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-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
χ₁₇	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	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-1	-2	-2	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-2	-2	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
χ₁₈	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	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	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
χ₁₉	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	0	3	3	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	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
χ₂₀	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	0	3	3	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	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
χ₂₁	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-3	-3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	0	-3	-3	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
χ₂₂	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-3	-3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	0	-3	-3	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
χ₂₃	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	3	3	3	3	3	-1	-1	-1	-1	-3	-3	-1	-1	-1	-1	3	1	1	1	1	1	1	1	1	0	-3	-3	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	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
χ₂₄	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	3	3	3	3	3	-1	-1	-1	-1	-3	-3	-1	-1	-1	-1	3	1	1	1	1	1	1	1	1	0	-3	-3	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	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
χ₂₅	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	3	-3	-3	-3	-3	-1	-1	-1	-1	-3	-3	-1	-1	-1	-1	3	1	1	1	1	1	1	1	1	0	3	3	0	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₂₆	3	3	3	3	3	3	3	3	3	3	3	3	-3	-3	3	-3	-3	-3	-3	-1	-1	-1	-1	-3	-3	-1	-1	-1	-1	3	1	1	1	1	1	1	1	1	0	3	3	0	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₂₇	4	4	4	4	-4	-4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	4	0	0	4	-4	-4	4	4	-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
χ₂₈	4	4	4	4	-4	-4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	-2	0	0	-2	2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	-4	-4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	-2	0	0	-2	2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	-4	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	0	0	0	0
χ₃₁	4	4	-4	-4	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	0	0	0	0
χ₃₂	4	4	-4	-4	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	0	0	0	0
χ₃₃	4	4	-4	-4	4	-4	4	-4	4	-4	-4	4	0	0	0	0	0	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	0	0	0	0
χ₃₄	4	4	-4	-4	-4	4	4	-4	4	-4	4	-4	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	-2	0	0	-2	2	2	2	2	-2	-2	0	0	0	0	0	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	2	-2	2	-2
χ₃₅	4	4	-4	-4	-4	4	4	-4	4	-4	4	-4	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	-2	0	0	-2	2	2	2	2	-2	-2	0	0	0	0	0	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	-2	2	-2	2
χ₃₆	4	4	-4	-4	-4	4	4	-4	4	-4	4	-4	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	-2	0	0	-2	2	2	2	2	-2	-2	0	0	0	0	0	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	$2 i$	$- 2 i$	$- 2 i$	$2 i$
χ₃₇	4	4	-4	-4	-4	4	4	-4	4	-4	4	-4	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	-2	0	0	-2	2	2	2	2	-2	-2	0	0	0	0	0	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	$- 2 i$	$2 i$	$2 i$	$- 2 i$
χ₃₈	4	-4	-4	4	0	0	4	-4	-4	4	0	0	2	-2	0	0	0	0	0	0	0	0	0	2	-2	4	-4	0	0	0	2	2	2	2	-2	-2	-2	-2	4	0	0	-4	0	0	4	-4	0	0	0	0	0	0	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
χ₃₉	4	-4	-4	4	0	0	4	-4	-4	4	0	0	2	-2	0	0	0	0	0	0	0	0	0	2	-2	4	-4	0	0	0	2	2	2	2	-2	-2	-2	-2	-2	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-4	4	0	0	4	-4	-4	4	0	0	2	-2	0	0	0	0	0	0	0	0	0	2	-2	4	-4	0	0	0	2	2	2	2	-2	-2	-2	-2	-2	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	-4	4	0	0	4	-4	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	2	4	-4	0	0	0	-2	-2	-2	-2	2	2	2	2	4	0	0	-4	0	0	4	-4	0	0	0	0	0	0	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
χ₄₂	4	-4	-4	4	0	0	4	-4	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	2	4	-4	0	0	0	-2	-2	-2	-2	2	2	2	2	-2	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-4	4	0	0	4	-4	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	2	4	-4	0	0	0	-2	-2	-2	-2	2	2	2	2	-2	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	6	6	6	6	6	6	6	6	6	0	0	-6	6	6	-6	-6	2	2	2	2	0	0	-2	-2	-2	-2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₄₅	6	6	6	6	6	6	6	6	6	6	6	6	0	0	-6	-6	-6	6	6	2	2	2	2	0	0	-2	-2	-2	-2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₄₆	8	8	-8	-8	8	-8	8	-8	8	-8	-8	8	0	0	0	0	0	$8 i$	$- 8 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	8	-8	-8	8	-8	8	-8	8	-8	-8	8	0	0	0	0	0	$- 8 i$	$8 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	8	-8	-8	-8	8	8	-8	8	-8	8	-8	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	2	0	0	2	-2	-2	-2	-2	2	2	0	0	0	0	0	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	0	0	0
χ₄₉	8	8	-8	-8	-8	8	8	-8	8	-8	8	-8	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	2	0	0	2	-2	-2	-2	-2	2	2	0	0	0	0	0	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	0	0	0
χ₅₀	8	-8	8	-8	0	0	8	8	-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	2	4	-4	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	8	-8	8	-8	0	0	8	8	-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	2	4	-4	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	-8	8	-8	0	0	8	8	-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	2	-4	4	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	-8	8	-8	0	0	8	8	-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	2	-4	4	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	8	-8	0	0	8	8	-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	-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	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	-8	8	-8	0	0	8	8	-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	-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	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	12	12	12	12	12	12	-4	-4	-4	-4	-4	-4	0	0	-12	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	4	4	-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	0	0	0	0
χ₅₇	12	12	12	12	12	12	-4	-4	-4	-4	-4	-4	0	0	-12	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-4	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	0	0	0	0
χ₅₈	12	12	12	12	12	12	-4	-4	-4	-4	-4	-4	12	12	12	0	0	0	0	0	0	0	0	-4	-4	0	0	0	0	-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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	12	12	12	12	12	12	-4	-4	-4	-4	-4	-4	-12	-12	12	0	0	0	0	0	0	0	0	4	4	0	0	0	0	-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	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	12	12	12	12	-12	-12	12	12	12	12	-12	-12	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	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	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	12	12	12	12	-12	-12	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	4	-4	4	-4	4	-4	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	0	0	0	0
χ₆₂	12	12	12	12	-12	-12	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	-4	4	-4	4	-4	4	-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	0	0	0	0
χ₆₃	12	12	12	12	-12	-12	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	-4	-4	4	4	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-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	0	0	0	0
χ₆₄	12	12	12	12	-12	-12	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	-4	-4	4	4	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	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	0	0	0	0
χ₆₅	12	12	-12	-12	12	-12	-4	4	-4	4	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	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	12	12	-12	-12	12	-12	-4	4	-4	4	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	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	12	12	-12	-12	12	-12	-4	4	-4	4	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	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	12	12	-12	-12	12	-12	-4	4	-4	4	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	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	12	12	-12	-12	-12	12	-4	4	-4	4	-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	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	0	0	0	0	0	0	0	0
χ₇₀	12	12	-12	-12	-12	12	-4	4	-4	4	-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	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	0	0	0	0	0	0	0	0
χ₇₁	12	12	-12	-12	-12	12	-4	4	-4	4	-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	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−2ζ⁵−2ζ¹³	2ζ⁵+2ζ¹³	2ζ⁷+2ζ²³	−2ζ⁷−2ζ²³	0	0	0	0	0	0	0	0
χ₇₂	12	12	-12	-12	-12	12	-4	4	-4	4	-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	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2ζ⁵+2ζ¹³	−2ζ⁵−2ζ¹³	−2ζ⁷−2ζ²³	2ζ⁷+2ζ²³	0	0	0	0	0	0	0	0
χ₇₃	12	-12	-12	12	0	0	12	-12	-12	12	0	0	6	-6	0	0	0	0	0	0	0	0	0	6	-6	-4	4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	12	-12	-12	12	0	0	12	-12	-12	12	0	0	-6	6	0	0	0	0	0	0	0	0	0	-6	6	-4	4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	12	-12	-12	12	0	0	-4	4	4	-4	0	0	6	-6	0	0	0	0	0	4	-4	4	-4	-2	2	0	0	4	-4	0	2	2	2	-6	-2	-2	-2	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	12	-12	-12	12	0	0	-4	4	4	-4	0	0	6	-6	0	0	0	0	0	4	-4	-4	4	-2	2	0	0	-4	4	0	2	-6	2	2	-2	6	-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	0	0	0	0	0	0
χ₇₇	12	-12	-12	12	0	0	-4	4	4	-4	0	0	6	-6	0	0	0	0	0	-4	4	4	-4	-2	2	0	0	-4	4	0	-6	2	2	2	6	-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	0	0	0	0	0	0
χ₇₈	12	-12	-12	12	0	0	-4	4	4	-4	0	0	6	-6	0	0	0	0	0	-4	4	-4	4	-2	2	0	0	4	-4	0	2	2	-6	2	-2	-2	6	-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	0	0	0	0	0	0
χ₇₉	12	-12	-12	12	0	0	-4	4	4	-4	0	0	-6	6	0	0	0	0	0	4	-4	4	-4	2	-2	0	0	4	-4	0	-2	-2	-2	6	2	2	2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	12	-12	-12	12	0	0	-4	4	4	-4	0	0	-6	6	0	0	0	0	0	4	-4	-4	4	2	-2	0	0	-4	4	0	-2	6	-2	-2	2	-6	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	0	0	0	0	0	0
χ₈₁	12	-12	-12	12	0	0	-4	4	4	-4	0	0	-6	6	0	0	0	0	0	-4	4	4	-4	2	-2	0	0	-4	4	0	6	-2	-2	-2	-6	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	0	0	0	0	0	0
χ₈₂	12	-12	-12	12	0	0	-4	4	4	-4	0	0	-6	6	0	0	0	0	0	-4	4	-4	4	2	-2	0	0	4	-4	0	-2	-2	6	-2	2	2	-6	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	0	0	0	0	0	0
χ₈₃	24	-24	24	-24	0	0	-8	-8	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	0	0	0	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	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
χ₈₄	24	-24	24	-24	0	0	-8	-8	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	0	0	0	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	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

Character table — Group #72268929