Group #72244543 — 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
size	1	1	6	8	8	8	8	9	9	18	18	36	36	48	54	64	64	72	72	72	72	108	108	108	108	108	144	144	144	144	144	144	144	144	144	216	216	216	288
order	1	2	4	3	3	6	6	2	2	4	4	4	4	12	4	3	6	6	6	8	8	4	8	8	8	8	2	12	12	12	12	12	12	24	24	4	8	8	6
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	-2	-2	0	0	2	2	2	2	2	2	0	0	-2	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	-2	-2	0	0	0	0	2	-2	2	2	-2	-2	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₇	2	2	2	2	2	2	2	-2	-2	0	0	0	0	2	-2	2	2	-2	-2	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₈	2	2	2	-1	2	-1	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	0	0	2	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	2	0	0	0
χ₉	2	2	2	-1	2	-1	2	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	0	0	2	0	0	0	0	0	-1	-1	1	1	1	1	0	0	-2	0	0	0
χ₁₀	2	2	2	-1	2	-1	2	2	2	-2	-2	0	0	2	2	-1	-1	-1	-1	0	0	-2	0	0	0	0	0	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₁	2	2	2	-1	2	-1	2	2	2	-2	-2	0	0	2	2	-1	-1	-1	-1	0	0	-2	0	0	0	0	0	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₁₂	2	-2	0	-1	2	1	-2	2	-2	-2	2	2	-2	0	0	-1	1	1	-1	$- i \sqrt{2}$	$i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	1	-1	1	-1	1	-1	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₃	2	-2	0	-1	2	1	-2	2	-2	-2	2	2	-2	0	0	-1	1	1	-1	$i \sqrt{2}$	$- i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	1	-1	1	-1	1	-1	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₄	2	-2	0	-1	2	1	-2	2	-2	-2	2	-2	2	0	0	-1	1	1	-1	$- i \sqrt{2}$	$i \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	1	-1	-1	1	-1	1	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₅	2	-2	0	-1	2	1	-2	2	-2	-2	2	-2	2	0	0	-1	1	1	-1	$i \sqrt{2}$	$- i \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	1	-1	-1	1	-1	1	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₆	3	3	-1	0	3	0	3	3	3	3	3	3	3	-1	-1	0	0	0	0	1	1	-1	1	1	1	1	-1	0	0	0	0	0	0	1	1	-1	-1	-1	-1
χ₁₇	3	3	-1	0	3	0	3	3	3	3	3	3	3	-1	-1	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	1	0	0	0	0	0	0	-1	-1	-1	1	1	1
χ₁₈	3	3	-1	0	3	0	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	-1
χ₁₉	3	3	-1	0	3	0	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	-1	-1	-1	1	1	1	1	1	0	0	0	0	0	0	-1	-1	1	-1	-1	1
χ₂₀	4	4	4	-2	4	-2	4	-4	-4	0	0	0	0	4	-4	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	-4	0	1	4	-1	-4	4	-4	4	-4	0	0	0	0	1	-1	-1	1	0	0	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₂₂	4	-4	0	1	4	-1	-4	4	-4	4	-4	0	0	0	0	1	-1	-1	1	0	0	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₂₃	4	-4	0	1	4	-1	-4	4	-4	-4	4	4	-4	0	0	1	-1	-1	1	0	0	0	0	0	0	0	0	-1	1	-1	1	-1	1	0	0	0	0	0	0
χ₂₄	4	-4	0	1	4	-1	-4	4	-4	-4	4	-4	4	0	0	1	-1	-1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	1	-1	0	0	0	0	0	0
χ₂₅	4	-4	0	-2	4	2	-4	4	-4	4	-4	0	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	0	-2	4	2	-4	-4	4	0	0	0	0	0	0	-2	2	-2	2	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	0	-2	4	2	-4	-4	4	0	0	0	0	0	0	-2	2	-2	2	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-2	0	6	0	6	6	6	-6	-6	0	0	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	-2	0	6	0	6	-6	-6	0	0	0	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	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₃₀	6	6	-2	0	6	0	6	-6	-6	0	0	0	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	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₃₁	8	8	8	8	-1	8	-1	0	0	0	0	0	0	-1	0	-1	-1	0	0	2	2	0	0	0	0	0	2	0	0	0	0	0	0	-1	-1	0	0	0	-1
χ₃₂	8	8	8	8	-1	8	-1	0	0	0	0	0	0	-1	0	-1	-1	0	0	-2	-2	0	0	0	0	0	-2	0	0	0	0	0	0	1	1	0	0	0	1
χ₃₃	8	-8	0	2	8	-2	-8	-8	8	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	16	16	16	-8	-2	-8	-2	0	0	0	0	0	0	-2	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	16	-16	0	-8	-2	8	2	0	0	0	0	0	0	0	0	1	-1	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₃₆	16	-16	0	-8	-2	8	2	0	0	0	0	0	0	0	0	1	-1	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₃₇	24	24	-8	0	-3	0	-3	0	0	0	0	0	0	1	0	0	0	0	0	2	2	0	0	0	0	0	-2	0	0	0	0	0	0	-1	-1	0	0	0	1
χ₃₈	24	24	-8	0	-3	0	-3	0	0	0	0	0	0	1	0	0	0	0	0	-2	-2	0	0	0	0	0	2	0	0	0	0	0	0	1	1	0	0	0	-1
χ₃₉	32	-32	0	8	-4	-8	4	0	0	0	0	0	0	0	0	-1	1	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 #72244543