Group #7428 — 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
size	1	1	1	1	2	2	4	4	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	16
order	1	2	2	2	2	2	4	4	2	2	4	4	4	4	8	8	8	8	4	4	4	4	4	4	8	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	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
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
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
χ₅	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
χ₆	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
χ₇	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₈	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	-2	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$
χ₁₂	2	-2	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$
χ₁₃	2	-2	2	-2	2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$
χ₁₄	2	-2	2	-2	2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$
χ₁₅	2	-2	2	-2	2	-2	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0
χ₁₆	2	-2	2	-2	2	-2	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0
χ₁₇	2	-2	2	-2	2	-2	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0
χ₁₈	2	-2	2	-2	2	-2	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0
χ₁₉	4	4	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	-4	-4	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	2ζ	−2ζ	2ζ³	−2ζ³	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	-4	-4	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	−2ζ	2ζ	−2ζ³	2ζ³	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	-4	-4	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	2ζ³	−2ζ³	2ζ	−2ζ	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	-4	-4	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	−2ζ³	2ζ³	−2ζ	2ζ	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0
χ₂₈	8	-8	-8	8	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 #7428