Group #13166500 — 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
size	1	1	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	18	18	36	36	36	36	36	2	2	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	36	36	72	72	72	72	72	3	3	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	54	54	108	108	108	108	108
order	1	2	2	3	3	4	6	6	6	6	6	6	12	12	12	12	12	12	12	12	4	4	4	8	8	8	8	3	6	6	3	3	12	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	24	24	24	24	2	2	2	6	6	4	6	6	6	6	6	6	12	12	12	12	12	12	12	12	4	4	4	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
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
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$
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
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
χ₇	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$
χ₈	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$
χ₉	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0
χ₁₀	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0
χ₁₁	4	4	4	1	-2	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	4	4	4	1	-2	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	4	4	4	1	-2	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0
χ₁₂	4	4	4	1	-2	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	4	4	4	1	-2	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	4	4	4	1	-2	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0
χ₁₃	4	4	4	-2	1	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	4	4	4	-2	1	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	4	4	4	-2	1	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0
χ₁₄	4	4	4	-2	1	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	4	4	4	-2	1	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	4	4	4	-2	1	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₁₅	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0
χ₁₈	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0
χ₁₉	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0
χ₂₀	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0
χ₂₁	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₂₂	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	0	4	4	0	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	4	0	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	4	0	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₂₅	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₂₆	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₂₇	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₃₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	$- i$	$- i$	$i$	$i$
χ₃₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	$i$	$i$	$- i$	$- i$
χ₃₂	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	-1	1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	-1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	1	-1	1	-1	1
χ₃₃	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	1	-1
χ₃₄	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	$- i$	$i$	$i$	$- i$
χ₃₅	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	$i$	$- i$	$- i$	$i$
χ₃₆	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	-2	-2	2	-2	-2	0	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0
χ₃₇	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	2	2	-2	2	2	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	-2	-2	2	-2	-2	0	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0
χ₃₈	4	4	4	1	-2	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	4	4	4	1	-2	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	-4	-4	-4	-1	2	-4	-1	-1	2	2	-1	2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0
χ₃₉	4	4	4	1	-2	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	4	4	4	1	-2	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	-4	-4	-4	-1	2	4	-1	-1	2	2	-1	2	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0
χ₄₀	4	4	4	-2	1	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	4	4	4	-2	1	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	-4	-4	-4	2	-1	-4	2	2	-1	-1	2	-1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₄₁	4	4	4	-2	1	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	4	4	4	-2	1	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	-4	-4	-4	2	-1	4	2	2	-1	-1	2	-1	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0
χ₄₂	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-1	2	0	1	1	-2	-2	-1	2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	1	-2	0	-1	-1	2	2	1	-2	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-1	2	0	1	1	-2	-2	-1	2	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	-4	-4	4	2	-1	0	-2	-2	1	1	2	-1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0
χ₄₅	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	4	4	-4	-2	1	0	2	2	-1	-1	-2	1	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	-4	-4	4	2	-1	0	-2	-2	1	1	2	-1	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0
χ₄₆	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	-1	2	0	-3	3	0	0	1	-2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0
χ₄₇	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	1	-2	0	3	-3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	-1	2	0	-3	3	0	0	1	-2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0
χ₄₈	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	-4	4	0	-1	2	0	3	-3	0	0	1	-2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	4	-4	0	1	-2	0	-3	3	0	0	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	-4	4	0	-1	2	0	3	-3	0	0	1	-2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	0	4	4	0	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	4	4	0	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	-4	-4	0	0	0	0	0	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	-3	3	-2	1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₅₂	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	3	-3	2	-1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	-3	3	-2	1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₅₃	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	3	-3	-2	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₅₄	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	4	-4	0	-2	1	0	0	0	-3	3	2	-1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	3	-3	-2	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₅₅	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	-1	-1	-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	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	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	0	0	0	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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	$- i$	$- i$	$i$	$i$	0	0	0	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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	$i$	$i$	$- i$	$- i$	0	0	0	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	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	-1	-1	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	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	-1	-1	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	2	2	2	2	2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	$- i$	$i$	$i$	$- i$	0	0	0	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	2	2	2	2	2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	$i$	$- i$	$- i$	$i$	0	0	0	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	4	4	-4	4	4	0	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	4	-4	0	0	0	0	0	-2	-2	2	-2	-2	0	2	2	2	2	-2	-2	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	0	0	0	0	0	0	0	0
χ₆₄	4	4	-4	4	4	0	-4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	-2	-2	2	-2	-2	0	2	2	2	2	-2	-2	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	0	0	0	0	0	0	0	0
χ₆₅	8	8	8	2	-4	8	2	2	-4	-4	2	-4	2	2	2	2	-4	-4	-4	-4	0	0	0	0	0	0	0	-4	-4	-4	-1	2	-4	-1	-1	2	2	-1	2	-1	-1	-1	-1	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
χ₆₆	8	8	8	2	-4	-8	2	2	-4	-4	2	-4	-2	-2	-2	-2	4	4	4	4	0	0	0	0	0	0	0	-4	-4	-4	-1	2	4	-1	-1	2	2	-1	2	1	1	1	1	-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
χ₆₇	8	8	8	-4	2	8	-4	-4	2	2	-4	2	-4	-4	-4	-4	2	2	2	2	0	0	0	0	0	0	0	-4	-4	-4	2	-1	-4	2	2	-1	-1	2	-1	2	2	2	2	-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	0	0	0	0	0	0	0	0	0	0
χ₆₈	8	8	8	-4	2	-8	-4	-4	2	2	-4	2	4	4	4	4	-2	-2	-2	-2	0	0	0	0	0	0	0	-4	-4	-4	2	-1	4	2	2	-1	-1	2	-1	-2	-2	-2	-2	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	0	0	0	0	0	0	0	0	0	0
χ₆₉	8	8	-8	2	-4	0	-2	-2	4	4	2	-4	6	6	-6	-6	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-1	2	0	1	1	-2	-2	-1	2	-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
χ₇₀	8	8	-8	2	-4	0	-2	-2	4	4	2	-4	-6	-6	6	6	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-1	2	0	1	1	-2	-2	-1	2	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
χ₇₁	8	8	-8	-4	2	0	4	4	-2	-2	-4	2	0	0	0	0	6	6	-6	-6	0	0	0	0	0	0	0	-4	-4	4	2	-1	0	-2	-2	1	1	2	-1	0	0	0	0	-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
χ₇₂	8	8	-8	-4	2	0	4	4	-2	-2	-4	2	0	0	0	0	-6	-6	6	6	0	0	0	0	0	0	0	-4	-4	4	2	-1	0	-2	-2	1	1	2	-1	0	0	0	0	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
χ₇₃	8	-8	0	2	-4	0	6	-6	0	0	-2	4	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$4 \sqrt{3}$	$- 4 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	-1	2	0	-3	3	0	0	1	-2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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
χ₇₄	8	-8	0	2	-4	0	6	-6	0	0	-2	4	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$- 4 \sqrt{3}$	$4 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	-1	2	0	-3	3	0	0	1	-2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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
χ₇₅	8	-8	0	2	-4	0	-6	6	0	0	-2	4	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	0	0	0	0	0	0	0	0	0	-4	4	0	-1	2	0	3	-3	0	0	1	-2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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
χ₇₆	8	-8	0	2	-4	0	-6	6	0	0	-2	4	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	0	0	0	0	0	0	0	0	0	-4	4	0	-1	2	0	3	-3	0	0	1	-2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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
χ₇₇	8	-8	0	8	8	0	0	0	0	0	-8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	-4	-4	0	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	0	0	0	0	0	0
χ₇₈	8	-8	0	-4	2	0	0	0	6	-6	4	-2	0	0	$4 \sqrt{3}$	$- 4 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	-3	3	-2	1	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	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
χ₇₉	8	-8	0	-4	2	0	0	0	6	-6	4	-2	0	0	$- 4 \sqrt{3}$	$4 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	-3	3	-2	1	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	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
χ₈₀	8	-8	0	-4	2	0	0	0	-6	6	4	-2	$4 \sqrt{3}$	$- 4 \sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	3	-3	-2	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	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
χ₈₁	8	-8	0	-4	2	0	0	0	-6	6	4	-2	$- 4 \sqrt{3}$	$4 \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	-4	4	0	2	-1	0	0	0	3	-3	-2	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	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

Character table — Group #13166500