Group #72220228 — 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	4	4	4	4	8	8	16	16	16	16	16	16	16	16	18	18	18	18	36	36	36	36	36	36	36	36	36	36	36	36	72	72	81	81	162	162	324	324	324	324
order	1	2	3	3	6	6	3	6	3	3	3	3	6	6	6	6	4	4	8	8	12	12	12	12	24	24	24	24	24	24	24	24	12	12	2	2	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	$i$	$- i$	$i$	$- i$
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	$- i$	$i$	$- i$	$i$
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	$i$	$- i$	$- i$	$i$
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	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	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	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0
χ₁₁	2	-2	2	2	-2	-2	2	-2	2	2	2	2	-2	-2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	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	2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₂	2	-2	2	2	-2	-2	2	-2	2	2	2	2	-2	-2	-2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	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	-2	2	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₃	2	-2	2	2	-2	-2	2	-2	2	2	2	2	-2	-2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₄	2	-2	2	2	-2	-2	2	-2	2	2	2	2	-2	-2	-2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	-2	2	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₅	4	4	1	-2	1	-2	4	4	1	1	-2	-2	1	1	-2	-2	0	4	4	4	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	1	-2	1	-2	4	4	1	1	-2	-2	1	1	-2	-2	0	4	-4	-4	1	1	-2	-2	-1	-1	2	2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	1	-2	1	-2	4	4	1	1	-2	-2	1	1	-2	-2	0	-4	0	0	-1	-1	2	2	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	4	1	-2	1	-2	4	4	1	1	-2	-2	1	1	-2	-2	0	-4	0	0	-1	-1	2	2	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	-2	1	-2	1	4	4	-2	-2	1	1	-2	-2	1	1	0	4	4	4	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	-2	1	-2	1	4	4	-2	-2	1	1	-2	-2	1	1	0	4	-4	-4	-2	-2	1	1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	-2	1	-2	1	4	4	-2	-2	1	1	-2	-2	1	1	0	-4	0	0	2	2	-1	-1	0	0	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	-2	1	-2	1	4	4	-2	-2	1	1	-2	-2	1	1	0	-4	0	0	2	2	-1	-1	0	0	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	1	-2	-1	2	4	-4	1	1	-2	-2	-1	-1	2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$3 i$	$- 3 i$	0	0	2ζ−ζ³	−ζ+2ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	−2ζ+ζ³	ζ−2ζ³	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	1	-2	-1	2	4	-4	1	1	-2	-2	-1	-1	2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 3 i$	$3 i$	0	0	−ζ+2ζ³	2ζ−ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	ζ−2ζ³	−2ζ+ζ³	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	1	-2	-1	2	4	-4	1	1	-2	-2	-1	-1	2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$3 i$	$- 3 i$	0	0	−2ζ+ζ³	ζ−2ζ³	$i \sqrt{2}$	$i \sqrt{2}$	2ζ−ζ³	−ζ+2ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	1	-2	-1	2	4	-4	1	1	-2	-2	-1	-1	2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 3 i$	$3 i$	0	0	ζ−2ζ³	−2ζ+ζ³	$i \sqrt{2}$	$i \sqrt{2}$	−ζ+2ζ³	2ζ−ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-2	1	2	-1	4	-4	-2	-2	1	1	2	2	-1	-1	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$3 i$	$- 3 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	2ζ−ζ³	−ζ+2ζ³	$i \sqrt{2}$	$i \sqrt{2}$	−2ζ+ζ³	ζ−2ζ³	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	-2	1	2	-1	4	-4	-2	-2	1	1	2	2	-1	-1	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$- 3 i$	$3 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ+2ζ³	2ζ−ζ³	$i \sqrt{2}$	$i \sqrt{2}$	ζ−2ζ³	−2ζ+ζ³	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	-2	1	2	-1	4	-4	-2	-2	1	1	2	2	-1	-1	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$3 i$	$- 3 i$	$i \sqrt{2}$	$i \sqrt{2}$	−2ζ+ζ³	ζ−2ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	2ζ−ζ³	−ζ+2ζ³	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	-2	1	2	-1	4	-4	-2	-2	1	1	2	2	-1	-1	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 3 i$	$3 i$	$i \sqrt{2}$	$i \sqrt{2}$	ζ−2ζ³	−2ζ+ζ³	$- i \sqrt{2}$	$- i \sqrt{2}$	−ζ+2ζ³	2ζ−ζ³	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	8	8	8	8	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0
χ₃₂	8	8	8	8	8	8	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0
χ₃₃	8	-8	8	8	-8	-8	-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	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0
χ₃₄	8	-8	8	8	-8	-8	-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	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0
χ₃₅	16	16	4	-8	4	-8	-2	-2	4	-5	1	1	4	-5	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	0	0	0
χ₃₆	16	16	4	-8	4	-8	-2	-2	-5	4	1	1	-5	4	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	0	0	0
χ₃₇	16	16	-8	4	-8	4	-2	-2	1	1	4	-5	1	1	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
χ₃₈	16	16	-8	4	-8	4	-2	-2	1	1	-5	4	1	1	-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
χ₃₉	16	-16	4	-8	-4	8	-2	2	4	-5	1	1	-4	5	-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	0	0	0
χ₄₀	16	-16	4	-8	-4	8	-2	2	-5	4	1	1	5	-4	-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	0	0	0
χ₄₁	16	-16	-8	4	8	-4	-2	2	1	1	4	-5	-1	-1	-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
χ₄₂	16	-16	-8	4	8	-4	-2	2	1	1	-5	4	-1	-1	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

Character table — Group #72220228