Group #72220306 — 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
size	1	1	2	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	72	72	81	81	144	144	144	144	144	144	144	144	162	162	162	162	162	162	162	162	162	162	162	162	162	648	648
order	1	2	2	3	3	3	3	6	6	6	6	3	3	3	6	6	6	6	6	6	6	6	6	6	6	6	6	2	4	2	2	6	6	6	6	12	12	12	12	2	4	4	4	4	8	8	8	8	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	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
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
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
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	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	-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	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	-1	-1	-1	1	1	1	1	1	-1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	2	2	0	0	0	0	0	0	0	0	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₁	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₂	2	2	-2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	-2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₄	2	2	-2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₅	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₆	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₇	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₈	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₉	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	2	0	0	-2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0
χ₂₀	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	2	0	0	-2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0
χ₂₁	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	0	0	2	0	0	0	0	2	-2	-2	2	0	0
χ₂₂	2	-2	0	2	2	2	2	-2	-2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	0	0	2	0	0	0	0	-2	2	2	-2	0	0
χ₂₃	8	8	8	2	5	-1	-1	2	5	-1	-1	2	-4	-1	2	5	-1	-1	2	-4	-1	2	2	-4	-4	-1	-1	2	2	0	0	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	8	8	8	2	5	-1	-1	2	5	-1	-1	2	-4	-1	2	5	-1	-1	2	-4	-1	2	2	-4	-4	-1	-1	-2	-2	0	0	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	8	5	2	-1	-1	5	2	-1	-1	-4	2	-1	5	2	-1	-1	-4	2	-1	-4	-4	2	2	-1	-1	2	2	0	0	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	8	8	5	2	-1	-1	5	2	-1	-1	-4	2	-1	5	2	-1	-1	-4	2	-1	-4	-4	2	2	-1	-1	-2	-2	0	0	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	8	8	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	-1	-1	2	-1	-1	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	8	8	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	1	1	-2	1	1	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	8	8	-1	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	8	8	-1	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	1	1	1	-2	1	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	8	-8	2	5	-1	-1	2	5	-1	-1	2	-4	-1	-2	-5	1	1	2	-4	-1	-2	-2	4	4	1	1	2	-2	0	0	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	8	8	-8	2	5	-1	-1	2	5	-1	-1	2	-4	-1	-2	-5	1	1	2	-4	-1	-2	-2	4	4	1	1	-2	2	0	0	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	-8	5	2	-1	-1	5	2	-1	-1	-4	2	-1	-5	-2	1	1	-4	2	-1	4	4	-2	-2	1	1	2	-2	0	0	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	-8	5	2	-1	-1	5	2	-1	-1	-4	2	-1	-5	-2	1	1	-4	2	-1	4	4	-2	-2	1	1	-2	2	0	0	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-8	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	1	1	-8	1	-1	-1	-1	1	1	1	1	1	1	2	-2	0	0	-1	-1	2	-1	1	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	8	-8	-1	-1	8	-1	-1	-1	8	-1	-1	-1	-1	1	1	-8	1	-1	-1	-1	1	1	1	1	1	1	-2	2	0	0	1	1	-2	1	-1	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	-8	-1	-1	-1	8	-1	-1	-1	8	-1	-1	-1	1	1	1	-8	-1	-1	-1	1	1	1	1	1	1	2	-2	0	0	-1	-1	-1	2	1	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	-8	-1	-1	-1	8	-1	-1	-1	8	-1	-1	-1	1	1	1	-8	-1	-1	-1	1	1	1	1	1	1	-2	2	0	0	1	1	1	-2	-1	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	16	16	16	4	-8	-2	-2	4	-8	-2	-2	4	1	-2	4	-8	-2	-2	4	1	-2	4	4	1	1	-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
χ₄₀	16	16	16	-8	4	-2	-2	-8	4	-2	-2	1	4	-2	-8	4	-2	-2	1	4	-2	1	1	4	4	-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
χ₄₁	16	16	16	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	7	-2	-2	-2	-2	-2	-2	7	-2	-2	-2	-2	7	7	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
χ₄₂	16	16	-16	4	-8	-2	-2	4	-8	-2	-2	4	1	-2	-4	8	2	2	4	1	-2	-4	-4	-1	-1	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
χ₄₃	16	16	-16	-8	4	-2	-2	-8	4	-2	-2	1	4	-2	8	-4	2	2	1	4	-2	-1	-1	-4	-4	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
χ₄₄	16	16	-16	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	7	2	2	2	2	-2	-2	7	2	2	2	2	-7	-7	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	16	-16	0	4	10	-2	-2	-4	-10	2	2	4	-8	-2	0	0	0	0	-4	8	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
χ₄₆	16	-16	0	4	-8	-2	-2	-4	8	2	2	4	1	-2	0	0	0	0	-4	-1	2	6	-6	3	-3	6	-6	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
χ₄₇	16	-16	0	4	-8	-2	-2	-4	8	2	2	4	1	-2	0	0	0	0	-4	-1	2	-6	6	-3	3	-6	6	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
χ₄₈	16	-16	0	10	4	-2	-2	-10	-4	2	2	-8	4	-2	0	0	0	0	8	-4	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
χ₄₉	16	-16	0	-8	4	-2	-2	8	-4	2	2	1	4	-2	0	0	0	0	-1	-4	2	3	-3	6	-6	-6	6	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	16	-16	0	-8	4	-2	-2	8	-4	2	2	1	4	-2	0	0	0	0	-1	-4	2	-3	3	-6	6	6	-6	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	16	-16	0	-2	-2	16	-2	2	2	-16	2	-2	-2	-2	0	0	0	0	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
χ₅₂	16	-16	0	-2	-2	-2	16	2	2	2	-16	-2	-2	-2	0	0	0	0	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	16	-16	0	-2	-2	-2	-2	2	2	2	2	-2	-2	7	0	0	0	0	2	2	-7	6	-6	-6	6	-3	3	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	16	-16	0	-2	-2	-2	-2	2	2	2	2	-2	-2	7	0	0	0	0	2	2	-7	-6	6	6	-6	3	-3	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 #72220306