Group #72242890 — 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
size	1	3	8	8	9	18	24	27	36	54	64	72	72	72	108	108	108	108	108	144	144	144	144	144	1	3	8	8	9	18	24	27	36	54	64	72	72	72	108	108	108	108	108	144	144	144	144	144
order	1	2	3	3	2	4	6	2	4	4	3	2	4	6	4	8	8	8	8	6	12	12	12	12	2	2	6	6	2	4	6	2	4	4	6	2	4	6	4	8	8	8	8	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
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
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
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
χ₅	2	2	2	2	2	-2	2	2	0	-2	2	0	0	2	0	0	0	0	0	0	0	-2	0	0	2	2	2	2	2	-2	2	2	0	-2	2	0	0	2	0	0	0	0	0	0	0	-2	0	0
χ₆	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₇	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₈	2	2	-1	2	2	2	2	2	2	2	-1	0	0	-1	2	0	0	0	0	0	0	-1	-1	-1	2	2	-1	2	2	2	2	2	2	2	-1	0	0	-1	2	0	0	0	0	0	0	-1	-1	-1
χ₉	2	2	-1	2	2	2	2	2	-2	2	-1	0	0	-1	-2	0	0	0	0	0	0	-1	1	1	2	2	-1	2	2	2	2	2	-2	2	-1	0	0	-1	-2	0	0	0	0	0	0	-1	1	1
χ₁₀	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$
χ₁₁	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$
χ₁₂	3	-1	0	3	3	3	-1	-1	3	-1	0	1	-1	0	-1	1	1	-1	-1	1	-1	0	0	0	3	-1	0	3	3	3	-1	-1	3	-1	0	1	-1	0	-1	1	1	-1	-1	1	-1	0	0	0
χ₁₃	3	-1	0	3	3	3	-1	-1	3	-1	0	-1	1	0	-1	-1	-1	1	1	-1	1	0	0	0	3	-1	0	3	3	3	-1	-1	3	-1	0	-1	1	0	-1	-1	-1	1	1	-1	1	0	0	0
χ₁₄	3	-1	0	3	3	3	-1	-1	-3	-1	0	1	-1	0	1	-1	-1	1	1	1	-1	0	0	0	3	-1	0	3	3	3	-1	-1	-3	-1	0	1	-1	0	1	-1	-1	1	1	1	-1	0	0	0
χ₁₅	3	-1	0	3	3	3	-1	-1	-3	-1	0	-1	1	0	1	1	1	-1	-1	-1	1	0	0	0	3	-1	0	3	3	3	-1	-1	-3	-1	0	-1	1	0	1	1	1	-1	-1	-1	1	0	0	0
χ₁₆	4	4	-2	4	-4	0	4	-4	0	0	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	4	4	-2	4	-4	0	4	-4	0	0	-2	0	0	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	6	-2	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	-2	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₁₉	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₀	8	8	8	-1	0	0	-1	0	0	0	-1	2	2	0	0	0	0	0	0	-1	-1	0	0	0	8	8	8	-1	0	0	-1	0	0	0	-1	2	2	0	0	0	0	0	0	-1	-1	0	0	0
χ₂₁	8	8	8	-1	0	0	-1	0	0	0	-1	-2	-2	0	0	0	0	0	0	1	1	0	0	0	8	8	8	-1	0	0	-1	0	0	0	-1	-2	-2	0	0	0	0	0	0	1	1	0	0	0
χ₂₂	16	16	-8	-2	0	0	-2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	16	16	-8	-2	0	0	-2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	24	-8	0	-3	0	0	1	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1	0	0	0	24	-8	0	-3	0	0	1	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1	0	0	0
χ₂₄	24	-8	0	-3	0	0	1	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1	0	0	0	24	-8	0	-3	0	0	1	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1	0	0	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
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
χ₂₇	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	1	1
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
χ₂₉	2	2	2	2	2	-2	2	2	0	-2	2	0	0	2	0	0	0	0	0	0	0	-2	0	0	-2	-2	-2	-2	-2	2	-2	-2	0	2	-2	0	0	-2	0	0	0	0	0	0	0	2	0	0
χ₃₀	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	0	-2	2	0	0	-2	0	0	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₃₁	2	2	2	2	-2	0	2	-2	0	0	2	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	0	-2	2	0	0	-2	0	0	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₃₂	2	2	-1	2	2	2	2	2	2	2	-1	0	0	-1	2	0	0	0	0	0	0	-1	-1	-1	-2	-2	1	-2	-2	-2	-2	-2	-2	-2	1	0	0	1	-2	0	0	0	0	0	0	1	1	1
χ₃₃	2	2	-1	2	2	2	2	2	-2	2	-1	0	0	-1	-2	0	0	0	0	0	0	-1	1	1	-2	-2	1	-2	-2	-2	-2	-2	2	-2	1	0	0	1	2	0	0	0	0	0	0	1	-1	-1
χ₃₄	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-2	-2	1	-2	-2	2	-2	-2	0	2	1	0	0	1	0	0	0	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$
χ₃₅	2	2	-1	2	2	-2	2	2	0	-2	-1	0	0	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-2	-2	1	-2	-2	2	-2	-2	0	2	1	0	0	1	0	0	0	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$
χ₃₆	3	-1	0	3	3	3	-1	-1	3	-1	0	1	-1	0	-1	1	1	-1	-1	1	-1	0	0	0	-3	1	0	-3	-3	-3	1	1	-3	1	0	-1	1	0	1	-1	-1	1	1	-1	1	0	0	0
χ₃₇	3	-1	0	3	3	3	-1	-1	3	-1	0	-1	1	0	-1	-1	-1	1	1	-1	1	0	0	0	-3	1	0	-3	-3	-3	1	1	-3	1	0	1	-1	0	1	1	1	-1	-1	1	-1	0	0	0
χ₃₈	3	-1	0	3	3	3	-1	-1	-3	-1	0	1	-1	0	1	-1	-1	1	1	1	-1	0	0	0	-3	1	0	-3	-3	-3	1	1	3	1	0	-1	1	0	-1	1	1	-1	-1	-1	1	0	0	0
χ₃₉	3	-1	0	3	3	3	-1	-1	-3	-1	0	-1	1	0	1	1	1	-1	-1	-1	1	0	0	0	-3	1	0	-3	-3	-3	1	1	3	1	0	1	-1	0	-1	-1	-1	1	1	1	-1	0	0	0
χ₄₀	4	4	-2	4	-4	0	4	-4	0	0	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	-4	-4	2	-4	4	0	-4	4	0	0	2	0	0	-2	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	-2	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	2	0	-6	-6	6	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	-6	2	0	-6	6	0	2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₄₃	6	-2	0	6	-6	0	-2	2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	-6	2	0	-6	6	0	2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₄₄	8	8	8	-1	0	0	-1	0	0	0	-1	2	2	0	0	0	0	0	0	-1	-1	0	0	0	-8	-8	-8	1	0	0	1	0	0	0	1	-2	-2	0	0	0	0	0	0	1	1	0	0	0
χ₄₅	8	8	8	-1	0	0	-1	0	0	0	-1	-2	-2	0	0	0	0	0	0	1	1	0	0	0	-8	-8	-8	1	0	0	1	0	0	0	1	2	2	0	0	0	0	0	0	-1	-1	0	0	0
χ₄₆	16	16	-8	-2	0	0	-2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-16	-16	8	2	0	0	2	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	24	-8	0	-3	0	0	1	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1	0	0	0	-24	8	0	3	0	0	-1	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1	0	0	0
χ₄₈	24	-8	0	-3	0	0	1	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1	0	0	0	-24	8	0	3	0	0	-1	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1	0	0	0

Character table — Group #72242890