Group #11922055 — 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
size	1	1	2	3	3	4	6	8	8	12	12	12	12	12	16	16	16	24	24	2	2	4	6	6	8	12	16	16	24	24	24	24	24	32	32	32	48	48	3	3	6	9	9	12	18	24	24	36	36	36	36	36	48	48	48	72	72
order	1	2	4	2	2	2	4	3	6	2	8	8	8	8	6	6	12	2	4	3	6	12	6	6	6	12	3	6	6	24	24	24	24	6	6	12	6	12	2	2	4	2	2	2	4	6	6	2	8	8	8	8	6	6	12	2	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
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
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
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
χ₅	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0
χ₆	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0
χ₇	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0
χ₈	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0
χ₉	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0
χ₁₀	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₁	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₂	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1
χ₁₃	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1
χ₁₄	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1
χ₁₅	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1
χ₁₆	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₉	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₂₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₁	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1
χ₂₂	1	1	1	1	1	-1	1	1	1	-1	1	1	1	1	-1	-1	1	-1	-1	1	1	1	1	1	-1	1	1	1	-1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	1
χ₂₃	1	1	1	1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1
χ₂₄	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	-2	-2	-2	-2	-2	-2	-2	1	1	-2	0	0	0	0	1	1	1	0	0
χ₂₅	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	-2	-2	-2	-2	-2	2	-2	1	1	2	0	0	0	0	-1	-1	1	0	0
χ₂₆	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	-2	-2	2	-2	-2	0	2	-2	-2	0	0	0	0	0	0	0	2	0	0
χ₂₇	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0
χ₂₈	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0
χ₂₉	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₃₀	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₃₁	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	-3	-3	-3	1	1	-3	1	0	0	1	-1	-1	1	1	0	0	0	-1	1
χ₃₂	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	-3	-3	-3	1	1	-3	1	0	0	1	1	1	-1	-1	0	0	0	1	-1
χ₃₃	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	-3	-3	-3	1	1	3	1	0	0	-1	-1	-1	1	1	0	0	0	1	-1
χ₃₄	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	-3	-3	-3	1	1	3	1	0	0	-1	1	1	-1	-1	0	0	0	-1	1
χ₃₅	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-4	4	0	4	-4	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₃₈	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₃₉	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	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	0	0	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	-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
χ₄₂	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	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	4	4	-2	-2	4	0	0	0	0	-2	-2	-2	0	0	-2	-2	-2	-2	-2	-2	-2	1	1	-2	0	0	0	0	1	1	1	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	-4	4	-2	-2	-4	0	0	0	0	2	2	-2	0	0	-2	-2	-2	-2	-2	2	-2	1	1	2	0	0	0	0	-1	-1	1	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	-4	4	4	0	0	0	0	0	0	0	-4	0	0	-2	-2	2	-2	-2	0	2	-2	-2	0	0	0	0	0	0	0	2	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	-4	-2	-2	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	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	-4	-2	-2	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	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	-4	4	0	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	0	-4	4	0	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	6	6	6	-2	-2	6	-2	0	0	-2	2	2	-2	-2	0	0	0	2	-2	-3	-3	-3	1	1	-3	1	0	0	1	-1	-1	1	1	0	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	6	6	6	-2	-2	6	-2	0	0	-2	-2	-2	2	2	0	0	0	-2	2	-3	-3	-3	1	1	-3	1	0	0	1	1	1	-1	-1	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	6	6	6	-2	-2	-6	-2	0	0	2	2	2	-2	-2	0	0	0	-2	2	-3	-3	-3	1	1	3	1	0	0	-1	-1	-1	1	1	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	6	6	6	-2	-2	-6	-2	0	0	2	-2	-2	2	2	0	0	0	2	-2	-3	-3	-3	1	1	3	1	0	0	-1	1	1	-1	-1	0	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	0	-8	8	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	-4	4	0	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
χ₅₅	12	12	-12	-4	-4	0	4	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	2	2	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
χ₅₆	12	-12	0	4	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	-12	0	4	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11922055