Group #72220303 — 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
size	1	1	8	8	8	8	16	16	16	16	18	18	32	32	36	36	36	36	72	72	72	72	72	72	72	72	72	72	72	72	81	81	144	144	144	144	162	162	324	324	324	324	324	648	648
order	1	2	3	3	6	6	3	3	6	6	4	4	3	6	2	2	4	4	6	6	6	6	12	12	12	12	12	12	12	12	2	2	6	6	12	12	4	4	4	8	8	8	8	4	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
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
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
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
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
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
χ₇	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	1	1	-1	-1	-1	1
χ₈	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	1	1	-1
χ₉	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	0	0	0	0	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0
χ₁₀	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	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
χ₁₁	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	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
χ₁₂	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	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
χ₁₃	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	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
χ₁₄	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	0	0	0	0	2	2	0	0	0	0	-2	-2	2	0	0	0	0	0	0
χ₁₅	2	-2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	2	-2	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	0	0	0	0
χ₁₆	2	-2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	2	-2	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	0	0	0	0
χ₁₇	2	-2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0
χ₁₈	2	-2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	2	-2	0	0	0	0	0	0	0
χ₁₉	4	-4	4	4	-4	-4	4	4	-4	-4	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	8	8	8	-1	8	-1	-1	-1	-1	-1	0	8	-1	-1	2	2	2	2	2	-1	2	-1	0	0	-1	-1	2	-1	2	-1	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₁	8	8	8	-1	8	-1	-1	-1	-1	-1	0	8	-1	-1	-2	-2	-2	-2	-2	1	-2	1	0	0	-1	-1	-2	1	-2	1	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₂₂	8	8	8	-1	8	-1	-1	-1	-1	-1	0	-8	-1	-1	2	2	-2	-2	2	-1	2	-1	0	0	1	1	-2	1	-2	1	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0
χ₂₃	8	8	8	-1	8	-1	-1	-1	-1	-1	0	-8	-1	-1	-2	-2	2	2	-2	1	-2	1	0	0	1	1	2	-1	2	-1	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₄	8	8	-1	8	-1	8	-1	-1	-1	-1	8	0	-1	-1	2	2	2	2	-1	2	-1	2	-1	-1	0	0	-1	2	-1	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	-1	8	-1	8	-1	-1	-1	-1	8	0	-1	-1	-2	-2	-2	-2	1	-2	1	-2	-1	-1	0	0	1	-2	1	-2	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₂₆	8	8	-1	8	-1	8	-1	-1	-1	-1	-8	0	-1	-1	2	2	-2	-2	-1	2	-1	2	1	1	0	0	1	-2	1	-2	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0
χ₂₇	8	8	-1	8	-1	8	-1	-1	-1	-1	-8	0	-1	-1	-2	-2	2	2	1	-2	1	-2	1	1	0	0	-1	2	-1	2	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₈	8	-8	8	-1	-8	1	-1	-1	1	1	0	0	-1	1	2	-2	$2 i$	$- 2 i$	2	-1	-2	1	0	0	$3 i$	$- 3 i$	$2 i$	$- i$	$- 2 i$	$i$	0	0	-1	1	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₂₉	8	-8	8	-1	-8	1	-1	-1	1	1	0	0	-1	1	2	-2	$- 2 i$	$2 i$	2	-1	-2	1	0	0	$- 3 i$	$3 i$	$- 2 i$	$i$	$2 i$	$- i$	0	0	-1	1	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₃₀	8	-8	8	-1	-8	1	-1	-1	1	1	0	0	-1	1	-2	2	$2 i$	$- 2 i$	-2	1	2	-1	0	0	$- 3 i$	$3 i$	$2 i$	$- i$	$- 2 i$	$i$	0	0	1	-1	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₃₁	8	-8	8	-1	-8	1	-1	-1	1	1	0	0	-1	1	-2	2	$- 2 i$	$2 i$	-2	1	2	-1	0	0	$3 i$	$- 3 i$	$- 2 i$	$i$	$2 i$	$- i$	0	0	1	-1	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₃₂	8	-8	-1	8	1	-8	-1	-1	1	1	0	0	-1	1	2	-2	$2 i$	$- 2 i$	-1	2	1	-2	$3 i$	$- 3 i$	0	0	$- i$	$2 i$	$i$	$- 2 i$	0	0	-1	1	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₃₃	8	-8	-1	8	1	-8	-1	-1	1	1	0	0	-1	1	2	-2	$- 2 i$	$2 i$	-1	2	1	-2	$- 3 i$	$3 i$	0	0	$i$	$- 2 i$	$- i$	$2 i$	0	0	-1	1	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	-1	8	1	-8	-1	-1	1	1	0	0	-1	1	-2	2	$2 i$	$- 2 i$	1	-2	-1	2	$- 3 i$	$3 i$	0	0	$- i$	$2 i$	$i$	$- 2 i$	0	0	1	-1	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	-1	8	1	-8	-1	-1	1	1	0	0	-1	1	-2	2	$- 2 i$	$2 i$	1	-2	-1	2	$3 i$	$- 3 i$	0	0	$i$	$- 2 i$	$- i$	$2 i$	0	0	1	-1	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₃₆	16	16	-2	-2	-2	-2	7	-2	-2	7	0	0	-2	-2	0	0	4	4	0	0	0	0	0	0	0	0	-2	-2	-2	-2	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0
χ₃₇	16	16	-2	-2	-2	-2	7	-2	-2	7	0	0	-2	-2	0	0	-4	-4	0	0	0	0	0	0	0	0	2	2	2	2	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0
χ₃₈	16	16	-2	-2	-2	-2	-2	7	7	-2	0	0	-2	-2	4	4	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	16	16	-2	-2	-2	-2	-2	7	7	-2	0	0	-2	-2	-4	-4	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	16	-16	-2	-2	2	2	7	-2	2	-7	0	0	-2	2	0	0	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₄₁	16	-16	-2	-2	2	2	7	-2	2	-7	0	0	-2	2	0	0	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₄₂	16	-16	-2	-2	2	2	-2	7	-7	2	0	0	-2	2	4	-4	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	16	-16	-2	-2	2	2	-2	7	-7	2	0	0	-2	2	-4	4	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	32	32	-4	-4	-4	-4	-4	-4	-4	-4	0	0	5	5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	32	-32	-4	-4	4	4	-4	-4	4	4	0	0	5	-5	0	0	0	0	0	0	0	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 #72220303