Finite Group Databasebeta

Character table — Group #578

Order 64.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂
size	1	1	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4
order	1	2	2	2	2	4	4	4	4	8	8	2	2	4	4	4	4	4	4	8	8	8
χ₁	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
χ₃	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
χ₅	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
χ₇	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
χ₉	1	1	-1	1	-1	-1	1	-1	1	1	1	1	1	-1	1	-1	-1	1	-1	-1	1	-1
χ₁₀	1	1	-1	1	-1	-1	1	-1	1	1	1	-1	-1	1	-1	1	1	-1	1	-1	1	-1
χ₁₁	1	1	-1	1	-1	-1	1	-1	1	-1	-1	1	-1	-1	1	-1	1	-1	1	1	-1	1
χ₁₂	1	1	-1	1	-1	-1	1	-1	1	-1	-1	-1	1	1	-1	1	-1	1	-1	1	-1	1
χ₁₃	1	1	-1	-1	1	-1	-1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1
χ₁₄	1	1	-1	-1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	1	1	-1	-1	-1	1
χ₁₅	1	1	-1	-1	1	-1	-1	1	1	-1	-1	1	-1	-1	-1	1	1	1	-1	1	1	-1
χ₁₆	1	1	-1	-1	1	-1	-1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1
χ₁₇	2	2	2	2	-2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	-2	2	-2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	-2	-2	-2	2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	-4	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	-4	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0