Group #13062012 — 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
size	1	21	24	24	42	56	1	21	24	24	42	56	2	42	48	48	84	112	2	42	48	48	84	112	2	42	48	48	84	112
order	1	2	7	7	4	3	2	2	14	14	4	6	2	2	14	14	4	6	2	2	14	14	4	6	4	4	28	28	4	12
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
χ₂	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0
χ₃	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0
χ₄	6	2	-1	-1	0	0	6	2	-1	-1	0	0	6	2	-1	-1	0	0	6	2	-1	-1	0	0	6	2	-1	-1	0	0
χ₅	7	-1	0	0	-1	1	7	-1	0	0	-1	1	7	-1	0	0	-1	1	7	-1	0	0	-1	1	7	-1	0	0	-1	1
χ₆	8	0	1	1	0	-1	8	0	1	1	0	-1	8	0	1	1	0	-1	8	0	1	1	0	-1	8	0	1	1	0	-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
χ₈	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0
χ₉	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0
χ₁₀	6	2	-1	-1	0	0	6	2	-1	-1	0	0	6	2	-1	-1	0	0	-6	-2	1	1	0	0	-6	-2	1	1	0	0
χ₁₁	7	-1	0	0	-1	1	7	-1	0	0	-1	1	7	-1	0	0	-1	1	-7	1	0	0	1	-1	-7	1	0	0	1	-1
χ₁₂	8	0	1	1	0	-1	8	0	1	1	0	-1	8	0	1	1	0	-1	-8	0	-1	-1	0	1	-8	0	-1	-1	0	1
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1
χ₁₄	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0
χ₁₅	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0
χ₁₆	6	2	-1	-1	0	0	6	2	-1	-1	0	0	-6	-2	1	1	0	0	6	2	-1	-1	0	0	-6	-2	1	1	0	0
χ₁₇	7	-1	0	0	-1	1	7	-1	0	0	-1	1	-7	1	0	0	1	-1	7	-1	0	0	-1	1	-7	1	0	0	1	-1
χ₁₈	8	0	1	1	0	-1	8	0	1	1	0	-1	-8	0	-1	-1	0	1	8	0	1	1	0	-1	-8	0	-1	-1	0	1
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
χ₂₀	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0	-3	1	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	-1	0	3	-1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	0
χ₂₁	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0	-3	1	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	-1	0	3	-1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	0
χ₂₂	6	2	-1	-1	0	0	6	2	-1	-1	0	0	-6	-2	1	1	0	0	-6	-2	1	1	0	0	6	2	-1	-1	0	0
χ₂₃	7	-1	0	0	-1	1	7	-1	0	0	-1	1	-7	1	0	0	1	-1	-7	1	0	0	1	-1	7	-1	0	0	-1	1
χ₂₄	8	0	1	1	0	-1	8	0	1	1	0	-1	-8	0	-1	-1	0	1	-8	0	-1	-1	0	1	8	0	1	1	0	-1
χ₂₅	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	0	0	0	0
χ₂₆	6	-2	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	2	0	-6	2	$1 - i \sqrt{7}$	$1 + i \sqrt{7}$	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	-2	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	2	0	-6	2	$1 + i \sqrt{7}$	$1 - i \sqrt{7}$	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	12	4	-2	-2	0	0	-12	-4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	14	-2	0	0	-2	2	-14	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	16	0	2	2	0	-2	-16	0	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13062012