Group #13140249 — 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
size	1	1	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	36	36	36	36	36	36	72	72	72	72	72	72	72	72	72	72	72	72	72	72	72
order	1	2	2	2	2	3	6	6	6	4	4	6	6	12	12	12	12	3	3	6	6	6	6	6	6	3	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	12	2	2	2	4	4	4	4	4	4	6	6	6	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	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
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	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	-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	-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
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	-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	1	-1	1	1	-1	-1	-1	1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	0	0	2	0	0	2	0	0	-1	0	0	0	0	0	-1	-1	0	-1
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-2	0	0	-2	0	0	-2	0	0	1	0	0	0	0	0	1	1	0	1
χ₁₁	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	2	2	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	2	0	0	2	0	0	2	0	0	-1	0	0	0	0	-1	-1	0	0	-1	0
χ₁₂	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	2	2	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	-2	0	0	-2	0	0	-2	0	0	1	0	0	0	0	1	1	0	0	1	0
χ₁₃	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	-1	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	1	1	1	0	0	2	0	0	2	0	0	-2	0	0	-1	0	0	0	0	0	1	1	0	-1
χ₁₄	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	-1	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	1	1	1	0	0	-2	0	0	-2	0	0	2	0	0	1	0	0	0	0	0	-1	-1	0	1
χ₁₅	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	2	-1	-1	2	2	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	2	0	0	2	0	0	-2	0	0	-1	0	0	0	0	1	1	0	0	-1	0
χ₁₆	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	2	-1	-1	2	2	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	-2	0	0	-2	0	0	2	0	0	1	0	0	0	0	-1	-1	0	0	1	0
χ₁₇	2	2	2	-2	-2	2	2	2	2	0	0	-2	-2	0	0	0	0	2	2	-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	2	0	0	-2	0	0	0	0	0	2	0	0	0	0	-2	0	0	0	0	0	0
χ₁₈	2	2	2	-2	-2	2	2	2	2	0	0	-2	-2	0	0	0	0	2	2	-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	-2	0	0	2	0	0	0	0	0	-2	0	0	0	0	2	0	0	0	0	0	0
χ₁₉	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	2	2	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	2	0	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	-2	0
χ₂₀	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	2	2	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	-2	0	0	2	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	2	0
χ₂₁	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	-1	2	-1	-1	-2	-2	-1	2	-1	1	1	-2	2	1	1	-1	-1	1	1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	1	0
χ₂₂	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	-1	2	-1	-1	-2	-2	-1	2	-1	1	1	-2	2	1	1	-1	-1	1	1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-1	0
χ₂₃	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	-1	2	-1	-1	-2	-2	-1	2	-1	1	1	-2	2	1	1	-1	-1	1	1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	1	0
χ₂₄	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	0	0	0	0	-1	2	-1	-1	-2	-2	-1	2	-1	1	1	-2	2	1	1	-1	-1	1	1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-1	0
χ₂₅	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	2	-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	2	0	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	-2
χ₂₆	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	2	-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	-2	0	0	2	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	2
χ₂₇	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	-1	-2	-2	-1	-1	2	-1	-1	-2	2	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	1
χ₂₈	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	-1	-2	-2	-1	-1	2	-1	-1	-2	2	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	-1
χ₂₉	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	-1	-2	-2	-1	-1	2	-1	-1	-2	2	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	1
χ₃₀	2	2	-2	-2	2	2	-2	-2	2	0	0	-2	2	0	0	0	0	2	-1	-2	-2	-1	-1	2	-1	-1	-2	2	1	1	1	1	1	1	-1	-1	-1	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	-1
χ₃₁	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	-2	-2	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	0
χ₃₂	4	4	4	4	4	4	4	4	4	-4	-4	4	4	-4	-4	-4	-4	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	-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	0
χ₃₃	4	4	4	-4	-4	4	4	4	4	0	0	-4	-4	0	0	0	0	4	-2	-4	-4	2	2	4	-2	-2	4	-4	-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	0
χ₃₄	4	4	4	-4	-4	4	4	4	4	0	0	-4	-4	0	0	0	0	-2	4	2	2	-4	-4	-2	4	-2	-2	2	4	-4	-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
χ₃₅	4	4	4	-4	-4	4	4	4	4	0	0	-4	-4	0	0	0	0	-2	-2	2	2	2	2	-2	-2	1	-2	2	-2	2	1	1	-1	-1	-1	-1	1	0	0	0	0	0	0	0	0	3	3	-3	-3	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	4	-4	-4	4	4	4	4	0	0	-4	-4	0	0	0	0	-2	-2	2	2	2	2	-2	-2	1	-2	2	-2	2	1	1	-1	-1	-1	-1	1	0	0	0	0	0	0	0	0	-3	-3	3	3	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	4	-4	4	-4	-4	4	0	0	4	-4	0	0	0	0	4	-2	4	4	2	2	4	-2	-2	-4	-4	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	0
χ₃₈	4	4	-4	4	-4	4	-4	-4	4	0	0	4	-4	0	0	0	0	-2	-2	-2	-2	2	2	-2	-2	1	2	2	2	-2	-1	-1	1	1	-1	-1	1	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	-4	4	-4	4	-4	-4	4	0	0	4	-4	0	0	0	0	-2	-2	-2	-2	2	2	-2	-2	1	2	2	2	-2	-1	-1	1	1	-1	-1	1	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-4	-4	4	4	-4	-4	4	0	0	-4	4	0	0	0	0	-2	4	2	2	4	4	-2	4	-2	2	-2	-4	-4	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
χ₄₁	4	4	-4	-4	4	4	-4	-4	4	0	0	-4	4	0	0	0	0	-2	-2	2	2	-2	-2	-2	-2	1	2	-2	2	2	-1	-1	-1	-1	1	1	1	0	0	0	0	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	-4	-4	4	4	-4	-4	4	0	0	-4	4	0	0	0	0	-2	-2	2	2	-2	-2	-2	-2	1	2	-2	2	2	-1	-1	-1	-1	1	1	1	0	0	0	0	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	4	4	0	0	0	0	-4	-4	4	0	0	0	0	0	0	0	0	0	0	-4	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	4	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-4	2	-2	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	4	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-4	2	-2	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	4	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	2	-4	-2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	2	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	$2 i$	$- 2 i$	$2 i$	$- 2 i$	2ζ⁷	−2ζ⁷	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	4	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	2	-4	-2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	2	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	$2 i$	$- 2 i$	$2 i$	$- 2 i$	2ζ¹¹	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ⁷	−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	1	0	0	0	0	3	-3	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	−3ζ⁷−ζ¹¹	3ζ⁷+ζ¹¹	$- i$	$i$	$- i$	$i$	−ζ⁷−3ζ¹¹	ζ⁷+3ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	1	0	0	0	0	-3	3	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	$- i$	$i$	−3ζ⁷−ζ¹¹	3ζ⁷+ζ¹¹	−ζ⁷−3ζ¹¹	ζ⁷+3ζ¹¹	$- i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	1	0	0	0	0	-3	3	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	$- i$	$i$	−ζ⁷−3ζ¹¹	ζ⁷+3ζ¹¹	−3ζ⁷−ζ¹¹	3ζ⁷+ζ¹¹	$- i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	0	0	0	4	0	0	-4	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	1	0	0	0	0	3	-3	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	2ζ¹¹	−2ζ¹¹	2ζ⁷	−2ζ⁷	−ζ⁷−3ζ¹¹	ζ⁷+3ζ¹¹	$- i$	$i$	$- i$	$i$	−3ζ⁷−ζ¹¹	3ζ⁷+ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	4	4	0	0	0	0	-4	-4	4	0	0	0	0	0	0	0	0	0	0	-4	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	4	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-4	2	-2	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	4	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-4	2	-2	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	4	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	2	-4	-2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	2	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	$- 2 i$	$2 i$	$- 2 i$	$2 i$	−2ζ⁷	2ζ⁷	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	4	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	2	-4	-2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	2	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	$- 2 i$	$2 i$	$- 2 i$	$2 i$	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ⁷	2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	1	0	0	0	0	3	-3	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	3ζ⁷+ζ¹¹	−3ζ⁷−ζ¹¹	$i$	$- i$	$i$	$- i$	ζ⁷+3ζ¹¹	−ζ⁷−3ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	1	0	0	0	0	-3	3	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	$i$	$- i$	3ζ⁷+ζ¹¹	−3ζ⁷−ζ¹¹	ζ⁷+3ζ¹¹	−ζ⁷−3ζ¹¹	$i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	1	0	0	0	0	-3	3	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	$i$	$- i$	ζ⁷+3ζ¹¹	−ζ⁷−3ζ¹¹	3ζ⁷+ζ¹¹	−3ζ⁷−ζ¹¹	$i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	-4	0	0	0	4	0	0	-4	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	1	0	0	0	0	3	-3	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	−2ζ¹¹	2ζ¹¹	−2ζ⁷	2ζ⁷	ζ⁷+3ζ¹¹	−ζ⁷−3ζ¹¹	$i$	$- i$	$i$	$- i$	3ζ⁷+ζ¹¹	−3ζ⁷−ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	6	6	6	6	6	-3	-3	-3	-3	6	6	-3	-3	-3	-3	-3	-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	0	0	0	0	0	0	0	0	0	0	2	0	0	2	0	0	2	0	0	-1	0	0	-1	-1	-1	0	0	0	0	0	0
χ₆₂	6	6	6	6	6	-3	-3	-3	-3	6	6	-3	-3	-3	-3	-3	-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	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	0	0	-2	0	0	1	0	0	1	1	1	0	0	0	0	0	0
χ₆₃	6	6	6	6	6	-3	-3	-3	-3	-6	-6	-3	-3	3	3	3	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	0	0	0	0	0	0	0	0	0	0	2	0	0	2	0	0	-2	0	0	-1	0	0	1	1	-1	0	0	0	0	0	0
χ₆₄	6	6	6	6	6	-3	-3	-3	-3	-6	-6	-3	-3	3	3	3	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	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	0	0	2	0	0	1	0	0	-1	-1	1	0	0	0	0	0	0
χ₆₅	6	6	6	-6	-6	-3	-3	-3	-3	0	0	3	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0	0	0
χ₆₆	6	6	6	-6	-6	-3	-3	-3	-3	0	0	3	3	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	0	0	0
χ₆₇	6	6	6	-6	-6	-3	-3	-3	-3	0	0	3	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0	0	0
χ₆₈	6	6	6	-6	-6	-3	-3	-3	-3	0	0	3	3	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	0	0	0
χ₆₉	12	12	-12	12	-12	-6	6	6	-6	0	0	-6	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	12	12	-12	-12	12	-6	6	6	-6	0	0	6	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	12	-12	0	0	0	-6	$- 6 i \sqrt{3}$	$6 i \sqrt{3}$	6	$6 i$	$- 6 i$	0	0	6ζ⁷	6ζ¹¹	−6ζ⁷	−6ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	12	-12	0	0	0	-6	$- 6 i \sqrt{3}$	$6 i \sqrt{3}$	6	$- 6 i$	$6 i$	0	0	−6ζ⁷	−6ζ¹¹	6ζ⁷	6ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	12	-12	0	0	0	-6	$6 i \sqrt{3}$	$- 6 i \sqrt{3}$	6	$6 i$	$- 6 i$	0	0	6ζ¹¹	6ζ⁷	−6ζ¹¹	−6ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	-6	$6 i \sqrt{3}$	$- 6 i \sqrt{3}$	6	$- 6 i$	$6 i$	0	0	−6ζ¹¹	−6ζ⁷	6ζ¹¹	6ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #13140249