Group #72220230 — 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
size	1	1	8	8	8	8	18	18	18	18	18	18	32	32	32	32	72	72	72	72	72	72	72	72	72	72	72	72	81	81	162	162	162	162	162	162	162	162	648	648	648	648
order	1	2	3	3	6	6	4	4	8	8	8	8	3	3	6	6	12	12	12	12	24	24	24	24	24	24	24	24	2	2	4	4	4	4	8	8	8	8	4	4	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
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
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
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
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
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
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
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
χ₉	2	2	2	2	2	2	2	-2	0	0	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	0	0	0	0	0	0	-2	-2	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	-2	0	0	-2	-2	2	2	2	2	2	2	-2	-2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	2	2	0	0	0	0
χ₁₁	2	2	2	2	2	2	-2	2	2	2	0	0	2	2	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	-2	2	-2	-2	0	0	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₁₅	2	-2	2	2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	-2	0	0	2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₆	2	-2	2	2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₇	2	-2	2	2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	-2	0	0	-2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₈	2	-2	2	2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	2	-2	2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₉	2	-2	2	2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	-2	0	0	-2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₂₀	2	-2	2	2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	2	-2	2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₂₁	2	-2	2	2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	-2	0	0	2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₂₂	2	-2	2	2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₂₃	8	8	8	-1	8	-1	0	8	8	8	0	0	-1	-1	-1	-1	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	8	8	8	-1	8	-1	0	8	-8	-8	0	0	-1	-1	-1	-1	0	0	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	8	-1	8	-1	0	-8	0	0	0	0	-1	-1	-1	-1	0	0	1	1	$3 i$	$- 3 i$	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	8	8	-1	8	-1	0	-8	0	0	0	0	-1	-1	-1	-1	0	0	1	1	$- 3 i$	$3 i$	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	8	-1	8	-1	8	8	0	0	0	8	8	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	8	-1	8	-1	8	8	0	0	0	-8	-8	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	8	-1	8	-1	8	-8	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	0	0	0	0	$3 i$	$- 3 i$	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	8	-1	8	-1	8	-8	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	0	0	0	0	$- 3 i$	$3 i$	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	-8	8	-1	-8	1	0	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	0	0	-1	-1	1	1	0	0	$3 i$	$- 3 i$	ζ−2ζ³	−2ζ+ζ³	−ζ+2ζ³	2ζ−ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	8	-8	8	-1	-8	1	0	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	0	0	-1	-1	1	1	0	0	$- 3 i$	$3 i$	−2ζ+ζ³	ζ−2ζ³	2ζ−ζ³	−ζ+2ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	-8	8	-1	-8	1	0	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	0	0	-1	-1	1	1	0	0	$3 i$	$- 3 i$	−ζ+2ζ³	2ζ−ζ³	ζ−2ζ³	−2ζ+ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	8	-1	-8	1	0	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	0	0	-1	-1	1	1	0	0	$- 3 i$	$3 i$	2ζ−ζ³	−ζ+2ζ³	−2ζ+ζ³	ζ−2ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	-1	8	1	-8	0	0	0	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-1	-1	1	1	$3 i$	$- 3 i$	0	0	0	0	0	0	ζ−2ζ³	−2ζ+ζ³	−ζ+2ζ³	2ζ−ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	-1	8	1	-8	0	0	0	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-1	-1	1	1	$- 3 i$	$3 i$	0	0	0	0	0	0	−2ζ+ζ³	ζ−2ζ³	2ζ−ζ³	−ζ+2ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	-1	8	1	-8	0	0	0	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-1	-1	1	1	$3 i$	$- 3 i$	0	0	0	0	0	0	−ζ+2ζ³	2ζ−ζ³	ζ−2ζ³	−2ζ+ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	-1	8	1	-8	0	0	0	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-1	-1	1	1	$- 3 i$	$3 i$	0	0	0	0	0	0	2ζ−ζ³	−ζ+2ζ³	−2ζ+ζ³	ζ−2ζ³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	32	32	-4	-4	-4	-4	0	0	0	0	0	0	5	-4	5	-4	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	32	32	-4	-4	-4	-4	0	0	0	0	0	0	-4	5	-4	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
χ₄₁	32	-32	-4	-4	4	4	0	0	0	0	0	0	5	-4	-5	4	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	32	-32	-4	-4	4	4	0	0	0	0	0	0	-4	5	4	-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

Character table — Group #72220230