Group #72224524 — 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	8	8	8	8	16	16	16	36	72	72	72	72	81	162	162	162	324	2	16	16	16	16	32	32	32	72	144	144	144	144	162	324	324	324	648	3	24	24	24	24	48	48	48	108	216	216	216	216	243	486	486	486	972
order	1	3	3	3	3	3	3	3	2	6	6	6	6	2	4	8	8	4	3	3	3	3	3	3	3	3	6	6	6	6	6	6	12	24	24	12	2	6	6	6	6	6	6	6	2	6	6	6	6	2	4	8	8	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	2	2	2	2	2	2	2	2	0	0	0	0	0	2	-2	0	0	0	2	2	2	2	2	2	2	2	0	0	0	0	0	2	-2	0	0	0	2	2	2	2	2	2	2	2	0	0	0	0	0	2	-2	0	0	0
χ₆	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₇	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₈	8	2	5	-1	-1	2	-4	-1	2	2	-1	-1	-1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	2	2	-1	-1	-1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	2	2	-1	-1	-1	0	0	0	0	0
χ₉	8	2	5	-1	-1	2	-4	-1	-2	-2	1	1	1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	-2	-2	1	1	1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	-2	-2	1	1	1	0	0	0	0	0
χ₁₀	8	5	2	-1	-1	-4	2	-1	2	-1	2	-1	-1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	2	-1	2	-1	-1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	2	-1	2	-1	-1	0	0	0	0	0
χ₁₁	8	5	2	-1	-1	-4	2	-1	-2	1	-2	1	1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	-2	1	-2	1	1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	-2	1	-2	1	1	0	0	0	0	0
χ₁₂	8	-1	-1	8	-1	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0
χ₁₃	8	-1	-1	8	-1	-1	-1	-1	-2	1	1	-2	1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	-2	1	1	-2	1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	-2	1	1	-2	1	0	0	0	0	0
χ₁₄	8	-1	-1	-1	8	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0
χ₁₅	8	-1	-1	-1	8	-1	-1	-1	-2	1	1	1	-2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	-2	1	1	1	-2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	-2	1	1	1	-2	0	0	0	0	0
χ₁₆	16	4	-8	-2	-2	4	1	-2	0	0	0	0	0	0	0	0	0	0	16	4	-8	-2	-2	4	1	-2	0	0	0	0	0	0	0	0	0	0	16	4	-8	-2	-2	4	1	-2	0	0	0	0	0	0	0	0	0	0
χ₁₇	16	-8	4	-2	-2	1	4	-2	0	0	0	0	0	0	0	0	0	0	16	-8	4	-2	-2	1	4	-2	0	0	0	0	0	0	0	0	0	0	16	-8	4	-2	-2	1	4	-2	0	0	0	0	0	0	0	0	0	0
χ₁₈	16	-2	-2	-2	-2	-2	-2	7	0	0	0	0	0	0	0	0	0	0	16	-2	-2	-2	-2	-2	-2	7	0	0	0	0	0	0	0	0	0	0	16	-2	-2	-2	-2	-2	-2	7	0	0	0	0	0	0	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
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
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
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
χ₂₃	2	2	2	2	2	2	2	2	0	0	0	0	0	2	-2	0	0	0	2	2	2	2	2	2	2	2	0	0	0	0	0	2	-2	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	-2	2	0	0	0
χ₂₄	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₅	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	2	2	2	2	2	2	2	0	0	0	0	0	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₂₆	8	2	5	-1	-1	2	-4	-1	2	2	-1	-1	-1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	2	2	-1	-1	-1	0	0	0	0	0	-8	-2	-5	1	1	-2	4	1	-2	-2	1	1	1	0	0	0	0	0
χ₂₇	8	2	5	-1	-1	2	-4	-1	-2	-2	1	1	1	0	0	0	0	0	8	2	5	-1	-1	2	-4	-1	-2	-2	1	1	1	0	0	0	0	0	-8	-2	-5	1	1	-2	4	1	2	2	-1	-1	-1	0	0	0	0	0
χ₂₈	8	5	2	-1	-1	-4	2	-1	2	-1	2	-1	-1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	2	-1	2	-1	-1	0	0	0	0	0	-8	-5	-2	1	1	4	-2	1	-2	1	-2	1	1	0	0	0	0	0
χ₂₉	8	5	2	-1	-1	-4	2	-1	-2	1	-2	1	1	0	0	0	0	0	8	5	2	-1	-1	-4	2	-1	-2	1	-2	1	1	0	0	0	0	0	-8	-5	-2	1	1	4	-2	1	2	-1	2	-1	-1	0	0	0	0	0
χ₃₀	8	-1	-1	8	-1	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	-8	1	1	-8	1	1	1	1	-2	1	1	-2	1	0	0	0	0	0
χ₃₁	8	-1	-1	8	-1	-1	-1	-1	-2	1	1	-2	1	0	0	0	0	0	8	-1	-1	8	-1	-1	-1	-1	-2	1	1	-2	1	0	0	0	0	0	-8	1	1	-8	1	1	1	1	2	-1	-1	2	-1	0	0	0	0	0
χ₃₂	8	-1	-1	-1	8	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	-8	1	1	1	-8	1	1	1	-2	1	1	1	-2	0	0	0	0	0
χ₃₃	8	-1	-1	-1	8	-1	-1	-1	-2	1	1	1	-2	0	0	0	0	0	8	-1	-1	-1	8	-1	-1	-1	-2	1	1	1	-2	0	0	0	0	0	-8	1	1	1	-8	1	1	1	2	-1	-1	-1	2	0	0	0	0	0
χ₃₄	16	4	-8	-2	-2	4	1	-2	0	0	0	0	0	0	0	0	0	0	16	4	-8	-2	-2	4	1	-2	0	0	0	0	0	0	0	0	0	0	-16	-4	8	2	2	-4	-1	2	0	0	0	0	0	0	0	0	0	0
χ₃₅	16	-8	4	-2	-2	1	4	-2	0	0	0	0	0	0	0	0	0	0	16	-8	4	-2	-2	1	4	-2	0	0	0	0	0	0	0	0	0	0	-16	8	-4	2	2	-1	-4	2	0	0	0	0	0	0	0	0	0	0
χ₃₆	16	-2	-2	-2	-2	-2	-2	7	0	0	0	0	0	0	0	0	0	0	16	-2	-2	-2	-2	-2	-2	7	0	0	0	0	0	0	0	0	0	0	-16	2	2	2	2	2	2	-7	0	0	0	0	0	0	0	0	0	0
χ₃₇	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	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	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	-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
χ₄₁	4	4	4	4	4	4	4	4	0	0	0	0	0	4	-4	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	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
χ₄₂	4	4	4	4	4	4	4	4	0	0	0	0	0	-4	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	4	0	0	0	0	0	-4	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	16	4	10	-2	-2	4	-8	-2	4	4	-2	-2	-2	0	0	0	0	0	-8	-2	-5	1	1	-2	4	1	-2	-2	1	1	1	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	4	10	-2	-2	4	-8	-2	-4	-4	2	2	2	0	0	0	0	0	-8	-2	-5	1	1	-2	4	1	2	2	-1	-1	-1	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	10	4	-2	-2	-8	4	-2	4	-2	4	-2	-2	0	0	0	0	0	-8	-5	-2	1	1	4	-2	1	-2	1	-2	1	1	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	10	4	-2	-2	-8	4	-2	-4	2	-4	2	2	0	0	0	0	0	-8	-5	-2	1	1	4	-2	1	2	-1	2	-1	-1	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	-2	-2	16	-2	-2	-2	-2	4	-2	-2	4	-2	0	0	0	0	0	-8	1	1	-8	1	1	1	1	-2	1	1	-2	1	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	-2	-2	16	-2	-2	-2	-2	-4	2	2	-4	2	0	0	0	0	0	-8	1	1	-8	1	1	1	1	2	-1	-1	2	-1	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	-2	-2	-2	16	-2	-2	-2	4	-2	-2	-2	4	0	0	0	0	0	-8	1	1	1	-8	1	1	1	-2	1	1	1	-2	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	-2	-2	-2	16	-2	-2	-2	-4	2	2	2	-4	0	0	0	0	0	-8	1	1	1	-8	1	1	1	2	-1	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	32	8	-16	-4	-4	8	2	-4	0	0	0	0	0	0	0	0	0	0	-16	-4	8	2	2	-4	-1	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
χ₅₃	32	-16	8	-4	-4	2	8	-4	0	0	0	0	0	0	0	0	0	0	-16	8	-4	2	2	-1	-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
χ₅₄	32	-4	-4	-4	-4	-4	-4	14	0	0	0	0	0	0	0	0	0	0	-16	2	2	2	2	2	2	-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	0

Character table — Group #72224524