Group #67198 — 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
size	1	2	4	4	4	5	10	15	15	2	4	8	8	8	10	20	30	30	3	6	12	12	12	15	30	45	45
order	1	3	5	15	15	2	6	4	4	3	3	15	15	15	6	6	12	12	2	6	10	30	30	2	6	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
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
χ₃	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$
χ₅	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0
χ₆	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0
χ₇	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0
χ₈	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0
χ₉	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0
χ₁₀	1	1	1	1	1	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	-1	-1	-1	1	1
χ₁₂	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₁₃	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₁₄	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	-2	1	-2	1	1	-2	1	0	0
χ₁₅	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	-2	1	-2	1	1	2	-1	0	0
χ₁₆	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	0	0	0	0
χ₁₇	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0
χ₁₈	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0
χ₁₉	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	2	2	-2	-2	$2 i$	$- 2 i$	-1	-1	-1	-1	-1	1	1	$- i$	$i$	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	2	2	-2	-2	$- 2 i$	$2 i$	-1	-1	-1	-1	-1	1	1	$i$	$- i$	0	0	0	0	0	0	0	0	0
χ₂₃	4	-2	4	-2	-2	4	-2	0	0	-2	1	-2	1	1	-2	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-2	4	-2	-2	-4	2	0	0	-2	1	-2	1	1	2	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	8	-2	-2	-2	0	0	0	0	-4	-4	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	-4	-2	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	-4	-2	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-4	2	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #67198