Group #72145 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	12	12	12	12	24	24	24	24	24	24
order	1	2	4	4	2	2	2	3	4	4	4	6	12	12	2	2	2	2	2	2	4	4	4	4	4	4	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	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
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
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
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
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
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
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
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
χ₉	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$
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	$i$	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$i$	$- i$	$i$
χ₁₂	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	1	-1	-1	1	-1	1	1	-1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$- i$	$i$	$i$	$- i$	$i$	$- i$
χ₁₃	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
χ₁₄	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₁₅	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	-1	1	1	-1	-1	1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₁₆	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	-1	1	1	-1	-1	1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₁₇	2	2	2	2	2	2	2	-1	2	2	2	-1	-1	-1	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	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	2	-1	2	2	2	-1	-1	-1	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	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	2	-1	2	2	2	-1	-1	-1	-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	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	2	-1	2	2	2	-1	-1	-1	-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	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	0	0	0	0	2	-2	0	0	0	0	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	0	0	0	0	-2	2	0	0	0	0	2	-2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	2	2	2	-2	-2	-1	2	-2	-2	-1	-1	-1	0	0	0	0	2	-2	0	0	0	0	-2	2	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	2	2	-2	-2	-1	2	-2	-2	-1	-1	-1	0	0	0	0	2	-2	0	0	0	0	-2	2	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	2	2	2	-2	-2	-1	2	-2	-2	-1	-1	-1	0	0	0	0	-2	2	0	0	0	0	2	-2	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	2	2	-2	-2	-1	2	-2	-2	-1	-1	-1	0	0	0	0	-2	2	0	0	0	0	2	-2	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	2	2	-2	2	-2	2	-2	2	-2	2	2	2	0	0	2	-2	0	0	0	0	-2	2	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	-2	2	-2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	2	2	2	-2	2	-2	2	-2	2	-2	2	2	2	0	0	-2	2	0	0	0	0	2	-2	0	0	-2	2	-2	0	0	0	0	-2	-2	2	2	0	0	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	2	2	2	2	-2	2	-2	-1	-2	2	-2	-1	-1	-1	0	0	2	-2	0	0	0	0	-2	2	0	0	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	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
χ₃₀	2	2	2	2	-2	2	-2	-1	-2	2	-2	-1	-1	-1	0	0	2	-2	0	0	0	0	-2	2	0	0	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	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
χ₃₁	2	2	2	2	-2	2	-2	-1	-2	2	-2	-1	-1	-1	0	0	-2	2	0	0	0	0	2	-2	0	0	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-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
χ₃₂	2	2	2	2	-2	2	-2	-1	-2	2	-2	-1	-1	-1	0	0	-2	2	0	0	0	0	2	-2	0	0	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-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
χ₃₃	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	2	2	-2	0	0	0	0	-2	2	0	0	0	0	-2	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-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
χ₃₄	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	2	-2	2	0	0	0	0	2	-2	0	0	0	0	-2	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	-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
χ₃₅	2	2	2	2	-2	-2	2	-1	-2	-2	2	-1	-1	-1	2	-2	0	0	0	0	-2	2	0	0	0	0	1	1	-1	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₃₆	2	2	2	2	-2	-2	2	-1	-2	-2	2	-1	-1	-1	2	-2	0	0	0	0	-2	2	0	0	0	0	1	1	-1	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	2	2	2	-2	-2	2	-1	-2	-2	2	-1	-1	-1	-2	2	0	0	0	0	2	-2	0	0	0	0	1	1	-1	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	2	-2	-2	2	-1	-2	-2	2	-1	-1	-1	-2	2	0	0	0	0	2	-2	0	0	0	0	1	1	-1	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	2	-2	-2	2	2	2	-1	-2	-2	-2	-1	1	1	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	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	2	-2	-2	2	2	2	-1	-2	-2	-2	-1	1	1	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	0	0	0	0	0	0	0	0	0	0
χ₄₁	2	2	-2	-2	2	2	2	-1	-2	-2	-2	-1	1	1	-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	0	0	0	0	0	0	0	0	0	0
χ₄₂	2	2	-2	-2	2	2	2	-1	-2	-2	-2	-1	1	1	-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	0	0	0	0	0	0	0	0	0	0
χ₄₃	2	2	-2	-2	2	-2	-2	2	-2	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₄₄	2	2	-2	-2	2	-2	-2	2	-2	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0
χ₄₅	2	2	-2	-2	2	-2	-2	-1	-2	2	2	-1	1	1	0	0	0	0	2	2	0	0	0	0	-2	-2	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	-1	-1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₄₆	2	2	-2	-2	2	-2	-2	-1	-2	2	2	-1	1	1	0	0	0	0	2	2	0	0	0	0	-2	-2	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	-1	-1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₄₇	2	2	-2	-2	2	-2	-2	-1	-2	2	2	-1	1	1	0	0	0	0	-2	-2	0	0	0	0	2	2	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₄₈	2	2	-2	-2	2	-2	-2	-1	-2	2	2	-1	1	1	0	0	0	0	-2	-2	0	0	0	0	2	2	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₄₉	2	2	-2	-2	-2	2	-2	2	2	-2	2	2	-2	-2	0	0	2	2	0	0	0	0	-2	-2	0	0	-2	2	-2	0	0	0	0	2	2	2	2	0	0	0	0	2	-2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	2	2	-2	-2	-2	2	-2	2	2	-2	2	2	-2	-2	0	0	-2	-2	0	0	0	0	2	2	0	0	-2	2	-2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	2	-2	2	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	2	2	-2	-2	-2	2	-2	-1	2	-2	2	-1	1	1	0	0	2	2	0	0	0	0	-2	-2	0	0	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	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
χ₅₂	2	2	-2	-2	-2	2	-2	-1	2	-2	2	-1	1	1	0	0	2	2	0	0	0	0	-2	-2	0	0	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	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
χ₅₃	2	2	-2	-2	-2	2	-2	-1	2	-2	2	-1	1	1	0	0	-2	-2	0	0	0	0	2	2	0	0	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-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
χ₅₄	2	2	-2	-2	-2	2	-2	-1	2	-2	2	-1	1	1	0	0	-2	-2	0	0	0	0	2	2	0	0	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-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
χ₅₅	2	2	-2	-2	-2	-2	2	2	2	2	-2	2	-2	-2	2	2	0	0	0	0	-2	-2	0	0	0	0	-2	-2	2	2	2	2	2	0	0	0	0	0	0	0	0	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
χ₅₆	2	2	-2	-2	-2	-2	2	2	2	2	-2	2	-2	-2	-2	-2	0	0	0	0	2	2	0	0	0	0	-2	-2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	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
χ₅₇	2	2	-2	-2	-2	-2	2	-1	2	2	-2	-1	1	1	2	2	0	0	0	0	-2	-2	0	0	0	0	1	1	-1	-1	-1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₅₈	2	2	-2	-2	-2	-2	2	-1	2	2	-2	-1	1	1	2	2	0	0	0	0	-2	-2	0	0	0	0	1	1	-1	-1	-1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₅₉	2	2	-2	-2	-2	-2	2	-1	2	2	-2	-1	1	1	-2	-2	0	0	0	0	2	2	0	0	0	0	1	1	-1	1	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	-1	-1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₆₀	2	2	-2	-2	-2	-2	2	-1	2	2	-2	-1	1	1	-2	-2	0	0	0	0	2	2	0	0	0	0	1	1	-1	1	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	-1	-1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	-4	$4 i$	$- 4 i$	0	0	0	4	0	0	0	-4	$4 i$	$- 4 i$	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	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
χ₆₂	4	-4	$4 i$	$- 4 i$	0	0	0	4	0	0	0	-4	$4 i$	$- 4 i$	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	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
χ₆₃	4	-4	$- 4 i$	$4 i$	0	0	0	4	0	0	0	-4	$- 4 i$	$4 i$	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	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
χ₆₄	4	-4	$- 4 i$	$4 i$	0	0	0	4	0	0	0	-4	$- 4 i$	$4 i$	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	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
χ₆₅	8	-8	$8 i$	$- 8 i$	0	0	0	-4	0	0	0	4	$- 4 i$	$4 i$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	8	-8	$- 8 i$	$8 i$	0	0	0	-4	0	0	0	4	$4 i$	$- 4 i$	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	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 #72145