Group #72276824 — 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
size	1	1	6	8	8	15	15	20	20	24	24	60	60	90	96	96	96	96	120	120	120	120	120	120	144	160	160	180	180	240	360
order	1	2	4	3	6	2	2	3	6	5	10	8	8	4	15	15	30	30	4	6	6	12	24	24	20	3	6	8	8	12	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
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
χ₃	2	2	2	-1	-1	2	2	2	2	2	2	0	0	2	-1	-1	-1	-1	0	-1	-1	2	0	0	2	-1	-1	0	0	0	0
χ₄	2	-2	0	-1	1	2	-2	2	-2	2	-2	$\sqrt{2}$	$- \sqrt{2}$	0	-1	-1	1	1	0	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	0	-1	1	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₅	2	-2	0	-1	1	2	-2	2	-2	2	-2	$- \sqrt{2}$	$\sqrt{2}$	0	-1	-1	1	1	0	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	0	-1	1	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₆	3	3	-1	0	0	3	3	3	3	3	3	1	1	-1	0	0	0	0	-1	0	0	-1	1	1	-1	0	0	1	1	-1	-1
χ₇	3	3	-1	0	0	3	3	3	3	3	3	-1	-1	-1	0	0	0	0	1	0	0	-1	-1	-1	-1	0	0	-1	-1	1	1
χ₈	4	4	4	4	4	0	0	1	1	-1	-1	2	2	0	-1	-1	-1	-1	2	0	0	1	-1	-1	-1	1	1	0	0	-1	0
χ₉	4	4	4	4	4	0	0	1	1	-1	-1	-2	-2	0	-1	-1	-1	-1	-2	0	0	1	1	1	-1	1	1	0	0	1	0
χ₁₀	4	-4	0	1	-1	4	-4	4	-4	4	-4	0	0	0	1	1	-1	-1	0	-1	1	0	0	0	0	1	-1	0	0	0	0
χ₁₁	5	5	5	5	5	1	1	-1	-1	0	0	1	1	1	0	0	0	0	1	1	1	-1	1	1	0	-1	-1	-1	-1	1	-1
χ₁₂	5	5	5	5	5	1	1	-1	-1	0	0	-1	-1	1	0	0	0	0	-1	1	1	-1	-1	-1	0	-1	-1	1	1	-1	1
χ₁₃	6	6	6	6	6	-2	-2	0	0	1	1	0	0	-2	1	1	1	1	0	-2	-2	0	0	0	1	0	0	0	0	0	0
χ₁₄	6	6	6	-3	-3	-2	-2	0	0	1	1	0	0	-2	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	1	1	0	0	0	1	0	0	0	0	0	0
χ₁₅	6	6	6	-3	-3	-2	-2	0	0	1	1	0	0	-2	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	1	1	0	0	0	1	0	0	0	0	0	0
χ₁₆	8	8	8	-4	-4	0	0	2	2	-2	-2	0	0	0	1	1	1	1	0	0	0	2	0	0	-2	-1	-1	0	0	0	0
χ₁₇	8	-8	0	-4	4	0	0	2	-2	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	1	1	-1	-1	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	-1	1	0	0	0	0
χ₁₈	8	-8	0	-4	4	0	0	2	-2	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	1	1	-1	-1	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	-1	1	0	0	0	0
χ₁₉	10	10	10	-5	-5	2	2	-2	-2	0	0	0	0	2	0	0	0	0	0	-1	-1	-2	0	0	0	1	1	0	0	0	0
χ₂₀	10	-10	0	-5	5	2	-2	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	0	1	-1	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₁	10	-10	0	-5	5	2	-2	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	0	1	-1	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₂	12	12	-4	0	0	0	0	3	3	-3	-3	2	2	0	0	0	0	0	-2	0	0	-1	-1	-1	1	0	0	0	0	1	0
χ₂₃	12	12	-4	0	0	0	0	3	3	-3	-3	-2	-2	0	0	0	0	0	2	0	0	-1	1	1	1	0	0	0	0	-1	0
χ₂₄	12	-12	0	3	-3	-4	4	0	0	2	-2	0	0	0	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₅	12	-12	0	3	-3	-4	4	0	0	2	-2	0	0	0	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₆	12	-12	0	-6	6	-4	4	0	0	2	-2	0	0	0	-1	-1	1	1	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₂₇	15	15	-5	0	0	3	3	-3	-3	0	0	1	1	-1	0	0	0	0	-1	0	0	1	1	1	0	0	0	-1	-1	-1	1
χ₂₈	15	15	-5	0	0	3	3	-3	-3	0	0	-1	-1	-1	0	0	0	0	1	0	0	1	-1	-1	0	0	0	1	1	1	-1
χ₂₉	16	-16	0	4	-4	0	0	4	-4	-4	4	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	1	-1	0	0	0	0
χ₃₀	18	18	-6	0	0	-6	-6	0	0	3	3	0	0	2	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0
χ₃₁	20	-20	0	5	-5	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	-1	1	0	0	0	0

Character table — Group #72276824