Group #13138940 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	2	2	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	36	36	36	36	36	36	72	72	72	72	72	72	72	72	72	72	72	72
order	1	2	2	2	3	4	4	6	6	6	12	12	12	12	8	8	24	24	24	24	3	3	6	6	6	6	6	6	3	6	6	6	12	12	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	24	2	4	6	6	8	8	12	12	24	24	24	24	2	2	4	4	6	6	6	6	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	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
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	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	-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	-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
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	-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	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	2	2	2	-1	-1	-1	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0
χ₁₁	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	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	2	2	0	0	0	0	-1	-1	-1	-1
χ₁₂	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	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	-2	-2	0	0	0	0	1	1	1	1
χ₁₃	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	-1	-1	-1	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	-1	-1	1	1	0	0	0	0
χ₁₄	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	-1	-1	-1	2	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	1	1	-1	-1	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	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	1	1	1	1	-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	2	-2	0	0	0	0	-1	-1	1	1
χ₁₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	1	1	1	1	-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	-2	2	0	0	0	0	1	1	-1	-1
χ₁₇	2	2	2	2	2	-2	-2	2	2	2	-2	-2	-2	-2	0	0	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	-2	2	2	0	0	-2	-2	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	0	0	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	2	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	-2	-2	2	2	-2	-2	-2	2	2	2	-2	-2	0	0	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	0	0	$2 i$	$- 2 i$	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	-2	-2	2	2	-2	-2	-2	2	2	2	-2	-2	0	0	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	0	0	$- 2 i$	$2 i$	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	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	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	-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
χ₂₂	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	2	-2	2	2	-2	-2	2	-1	1	1	2	-1	-2	-2	-1	1	1	-1	-2	1	1	1	2	-1	-1	-1	2	2	-2	-2	-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	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₂₃	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	2	-2	2	2	-2	-2	2	-1	1	1	2	-1	-2	-2	-1	1	1	-1	-2	1	1	1	2	-1	-1	-1	2	2	-2	-2	-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	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₂₄	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	2	-2	2	2	-2	-2	-1	2	-2	-2	-1	2	1	1	-1	1	1	-1	1	-2	1	1	-1	2	-1	-1	-1	-1	1	1	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	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$
χ₂₅	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	2	-2	2	2	-2	-2	-1	2	-2	-2	-1	2	1	1	-1	1	1	-1	1	-2	1	1	-1	2	-1	-1	-1	-1	1	1	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	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$
χ₂₆	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	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
χ₂₇	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	-2	2	-2	-2	2	2	2	-1	1	1	2	-1	-2	-2	-1	1	1	-1	-2	1	1	1	2	-1	-1	-1	-2	-2	2	2	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	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₂₈	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	-2	2	-2	-2	2	2	2	-1	1	1	2	-1	-2	-2	-1	1	1	-1	-2	1	1	1	2	-1	-1	-1	-2	-2	2	2	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	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₂₉	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	-2	2	-2	-2	2	2	-1	2	-2	-2	-1	2	1	1	-1	1	1	-1	1	-2	1	1	-1	2	-1	-1	1	1	-1	-1	-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	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$
χ₃₀	2	2	-2	-2	2	-2	2	-2	-2	2	-2	-2	2	2	-2	2	-2	-2	2	2	-1	2	-2	-2	-1	2	1	1	-1	1	1	-1	1	-2	1	1	-1	2	-1	-1	1	1	-1	-1	-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	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$
χ₃₁	4	4	4	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	1	1	1	-2	-2	1	1	-2	-2	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	0	0	0
χ₃₂	4	4	4	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	1	1	1	-2	-2	1	1	-2	-2	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	0	0	0
χ₃₃	4	4	4	4	4	-4	-4	4	4	4	-4	-4	-4	-4	0	0	0	0	0	0	4	-2	-2	-2	4	-2	4	4	-2	-2	-2	-2	-4	2	2	2	-4	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
χ₃₄	4	4	4	4	4	-4	-4	4	4	4	-4	-4	-4	-4	0	0	0	0	0	0	-2	4	4	4	-2	4	-2	-2	-2	-2	-2	-2	2	-4	2	2	2	-4	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
χ₃₅	4	4	4	4	4	-4	-4	4	4	4	-4	-4	-4	-4	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	4	4	4	-4	-4	4	4	4	-4	-4	-4	-4	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	-4	4	4	-4	-4	-4	4	4	4	-4	-4	0	0	0	0	0	0	4	-2	2	2	4	-2	-4	-4	-2	2	2	-2	4	-2	-2	-2	-4	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
χ₃₈	4	4	-4	-4	4	4	-4	-4	-4	4	4	4	-4	-4	0	0	0	0	0	0	-2	4	-4	-4	-2	4	2	2	-2	2	2	-2	-2	4	-2	-2	2	-4	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
χ₃₉	4	4	-4	-4	4	4	-4	-4	-4	4	4	4	-4	-4	0	0	0	0	0	0	-2	-2	2	2	-2	-2	2	2	1	-1	-1	1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	$3 i$	$3 i$	$- 3 i$	$- 3 i$	$- 3 i$	$- 3 i$	$3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-4	-4	4	4	-4	-4	-4	4	4	4	-4	-4	0	0	0	0	0	0	-2	-2	2	2	-2	-2	2	2	1	-1	-1	1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	$- 3 i$	$- 3 i$	$3 i$	$3 i$	$3 i$	$3 i$	$- 3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	-4	-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	-1	-1	1	2	2	-1	-1	-2	-2	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	0	0	0
χ₄₂	4	4	-4	-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	-1	-1	1	2	2	-1	-1	-2	-2	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	0	0	0
χ₄₃	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0	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	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	4	-2	-2	2	-4	2	4	-4	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	4	-2	-2	2	-4	2	4	-4	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	4	4	-4	2	-4	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	4	4	-4	2	-4	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	2	-2	2	1	1	-1	-1	0	0	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	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	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	2	-2	2	1	1	-1	-1	0	0	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	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	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	2	-2	2	1	1	-1	-1	0	0	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	ζ⁷−ζ²³	−ζ⁷+ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	2	-2	2	1	1	-1	-1	0	0	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	−ζ⁷+ζ²³	ζ⁷−ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	4	-2	2	-2	-4	2	-4	4	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	4	-2	2	-2	-4	2	-4	4	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	4	-4	4	2	-4	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	4	-4	4	2	-4	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	2	2	2	-2	1	-1	1	-1	0	0	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	ζ⁷−ζ²³	−ζ⁷+ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	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	4	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	2	2	2	-2	1	-1	1	-1	0	0	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	−ζ⁷+ζ²³	ζ⁷−ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	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	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	2	2	2	-2	1	-1	1	-1	0	0	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	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	-4	-4	4	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	2	2	2	-2	1	-1	1	-1	0	0	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	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	6	6	6	6	-3	6	6	-3	-3	-3	-3	-3	-3	-3	6	6	-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	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	6	6	6	6	-3	6	6	-3	-3	-3	-3	-3	-3	-3	6	6	-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	-2	1	1	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	6	6	6	6	-3	6	6	-3	-3	-3	-3	-3	-3	-3	-6	-6	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	2	-1	-1	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	6	6	6	6	-3	6	6	-3	-3	-3	-3	-3	-3	-3	-6	-6	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	-2	1	1	2	2	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	6	6	6	6	-3	-6	-6	-3	-3	-3	3	3	3	3	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	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	-2	-1	-1	0	0	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	6	6	6	6	-3	-6	-6	-3	-3	-3	3	3	3	3	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	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	2	1	1	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	6	6	6	6	-3	-6	-6	-3	-3	-3	3	3	3	3	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	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	-2	-1	-1	0	0	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	6	6	6	6	-3	-6	-6	-3	-3	-3	3	3	3	3	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	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	2	1	1	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	6	6	-6	-6	-3	6	-6	3	3	-3	-3	-3	3	3	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	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	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$2 i$	$- 2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	6	6	-6	-6	-3	6	-6	3	3	-3	-3	-3	3	3	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	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	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- 2 i$	$2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	6	6	-6	-6	-3	6	-6	3	3	-3	-3	-3	3	3	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	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	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- 2 i$	$2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	6	6	-6	-6	-3	6	-6	3	3	-3	-3	-3	3	3	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	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	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$2 i$	$- 2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	6	6	-6	-6	-3	-6	6	3	3	-3	3	3	-3	-3	6	-6	-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	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	6	6	-6	-6	-3	-6	6	3	3	-3	3	3	-3	-3	6	-6	-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	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	6	6	-6	-6	-3	-6	6	3	3	-3	3	3	-3	-3	-6	6	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	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	6	6	-6	-6	-3	-6	6	3	3	-3	3	3	-3	-3	-6	6	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	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	12	-12	12	-12	-6	0	0	-6	6	6	$6 \sqrt{3}$	$- 6 \sqrt{3}$	$6 \sqrt{3}$	$- 6 \sqrt{3}$	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	0	0	0	0	0	0	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	-6	0	0	-6	6	6	$- 6 \sqrt{3}$	$6 \sqrt{3}$	$- 6 \sqrt{3}$	$6 \sqrt{3}$	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	0	0	0	0	0	0	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	-6	0	0	6	-6	6	$6 \sqrt{3}$	$- 6 \sqrt{3}$	$- 6 \sqrt{3}$	$6 \sqrt{3}$	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	0	0	0	0	0	0	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	-6	0	0	6	-6	6	$- 6 \sqrt{3}$	$6 \sqrt{3}$	$6 \sqrt{3}$	$- 6 \sqrt{3}$	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	0	0	0	0	0	0	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 #13138940