Group #11922221 — 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
size	1	1	6	6	6	8	8	12	1	1	6	6	6	8	8	12	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	2	2	12	12	12	16	16	24	6	6	36	36	36	48	48	72	6	6	36	36	36	48	48	72
order	1	2	4	8	8	3	6	4	2	2	4	8	8	6	6	4	2	2	4	8	8	6	6	4	3	6	12	24	24	3	6	12	6	6	12	24	24	6	6	12	6	6	12	24	24	6	6	12	6	6	12	24	24	6	6	12	2	2	4	8	8	6	6	4	4	4	4	8	8	12	12	4
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
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
χ₃	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0
χ₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0
χ₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0
χ₆	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1
χ₇	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1
χ₈	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0
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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
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	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1
χ₁₁	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0
χ₁₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0
χ₁₃	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0
χ₁₄	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1
χ₁₅	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1
χ₁₆	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0
χ₁₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₈	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1
χ₁₉	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0
χ₂₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0
χ₂₂	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1
χ₂₃	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1
χ₂₄	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0
χ₂₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1
χ₂₆	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1
χ₂₇	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0
χ₂₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0
χ₂₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0
χ₃₀	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1
χ₃₁	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1
χ₃₂	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0
χ₃₃	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	-1	-1	-1	-1	-1	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	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	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	4	0	0	-2	-2	0	4	4	4	0	0	-2	-2	0	4	4	4	0	0	-2	-2	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-2	2	2	0	0	-2	6	6	-2	2	2	0	0	-2	6	6	-2	2	2	0	0	-2	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-2	-2	-2	0	0	2	6	6	-2	-2	-2	0	0	2	6	6	-2	-2	-2	0	0	2	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	0	0	2	-2	0	8	-8	0	0	0	2	-2	0	8	-8	0	0	0	2	-2	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	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	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	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	-1	-1	1	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	4	0	0	-2	-2	0	4	4	4	0	0	-2	-2	0	-4	-4	-4	0	0	2	2	0	-2	-2	-2	0	0	1	1	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-2	2	2	0	0	-2	6	6	-2	2	2	0	0	-2	-6	-6	2	-2	-2	0	0	2	-3	-3	1	-1	-1	0	0	1	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	-2	-2	-2	0	0	2	6	6	-2	-2	-2	0	0	2	-6	-6	2	2	2	0	0	-2	-3	-3	1	1	1	0	0	-1	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	0	0	2	-2	0	8	-8	0	0	0	2	-2	0	-8	8	0	0	0	-2	2	0	-4	4	0	0	0	-1	1	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0	0	0	0	0	0	0	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	-2	-2	0	0	0	0	0	0	0	0	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	0	0	0	0	0	0	0	0
χ₅₀	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	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	0	0	0	0	0	0	0	0
χ₅₁	4	4	4	0	0	-2	-2	0	-4	-4	-4	0	0	2	2	0	0	0	0	0	0	0	0	0	4	4	4	0	0	-2	-2	0	-4	-4	-4	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	0
χ₅₂	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	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
χ₅₃	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	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
χ₅₄	6	6	-2	2	2	0	0	-2	-6	-6	2	-2	-2	0	0	2	0	0	0	0	0	0	0	0	6	6	-2	2	2	0	0	-2	-6	-6	2	-2	-2	0	0	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
χ₅₅	6	6	-2	-2	-2	0	0	2	-6	-6	2	2	2	0	0	-2	0	0	0	0	0	0	0	0	6	6	-2	-2	-2	0	0	2	-6	-6	2	2	2	0	0	-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
χ₅₆	8	-8	0	0	0	2	-2	0	-8	8	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	2	-2	0	-8	8	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	0
χ₅₇	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	4	4	0	0	-2	-2	0	-4	-4	-4	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	0	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	6	6	-2	2	2	0	0	-2	-6	-6	2	-2	-2	0	0	2	0	0	0	0	0	0	0	0	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	$3 i \sqrt{3}$	$3 i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	$- 3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	6	6	-2	-2	-2	0	0	2	-6	-6	2	2	2	0	0	-2	0	0	0	0	0	0	0	0	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	$3 i \sqrt{3}$	$3 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	$- 3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	8	-8	0	0	0	2	-2	0	-8	8	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	4	4	0	0	-2	-2	0	-4	-4	-4	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	1	1	0	2	2	2	0	0	-1	-1	0	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	$i \sqrt{3}$	$i \sqrt{3}$	0	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$- i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	6	6	-2	2	2	0	0	-2	-6	-6	2	-2	-2	0	0	2	0	0	0	0	0	0	0	0	-3	-3	1	-1	-1	0	0	1	3	3	-1	1	1	0	0	-1	$- 3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	$3 i \sqrt{3}$	$3 i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	6	6	-2	-2	-2	0	0	2	-6	-6	2	2	2	0	0	-2	0	0	0	0	0	0	0	0	-3	-3	1	1	1	0	0	-1	3	3	-1	-1	-1	0	0	1	$- 3 i \sqrt{3}$	$- 3 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	$3 i \sqrt{3}$	$3 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	-8	0	0	0	2	-2	0	-8	8	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	-1	1	0	4	-4	0	0	0	1	-1	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11922221