Group #11724210 — 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	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆
size	1	1	2	2	2	2	4	4	6	8	8	12	12	16	16	16	16	16	16	16	16	18	24	36	36	36	36	36	36	36	36	54	72	72	72	72
order	1	2	3	3	6	6	3	6	4	3	6	12	12	3	3	3	3	6	6	6	6	2	12	2	4	8	8	24	24	24	24	4	6	6	6	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	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	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	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	-1	1	1	-1	-1	-1	-1	1
χ₅	2	2	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	2	0	-1	-1	0
χ₆	2	2	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	2	0	0	0	0	0	0	0	0	-2	0	1	1	0
χ₇	2	2	2	-1	-1	2	-1	-1	2	2	2	-1	2	2	-1	-1	-1	2	-1	-1	-1	0	-1	2	0	2	0	-1	-1	0	0	0	-1	0	0	0
χ₈	2	2	2	-1	-1	2	-1	-1	2	2	2	-1	2	2	-1	-1	-1	2	-1	-1	-1	0	-1	-2	0	-2	0	1	1	0	0	0	1	0	0	0
χ₉	2	2	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	2	-1	-1	-1	2	-1	-1	0	-1	0	2	0	2	0	0	-1	-1	0	0	0	0	-1
χ₁₀	2	2	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	2	-1	-1	-1	2	-1	-1	0	-1	0	-2	0	-2	0	0	1	1	0	0	0	0	1
χ₁₁	3	3	3	3	3	3	3	3	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	3	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	0	0	1
χ₁₂	3	3	3	3	3	3	3	3	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	3	-1	-1	-1	1	1	1	1	1	1	-1	-1	0	0	-1
χ₁₃	3	3	3	3	3	3	3	3	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	-3	-1	1	-1	-1	1	-1	-1	1	1	1	1	0	0	-1
χ₁₄	3	3	3	3	3	3	3	3	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	-3	-1	-1	1	1	-1	1	1	-1	-1	1	-1	0	0	1
χ₁₅	4	4	4	-2	-2	4	-2	-2	4	-2	-2	-2	4	-2	1	1	1	-2	1	1	1	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	-2	4	4	-2	-2	-2	4	-2	-2	4	-2	1	-2	1	1	1	-2	1	1	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	-2	-2	-2	-2	1	1	4	4	4	-2	-2	-2	-2	1	1	-2	-2	1	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	4	-2	-2	-2	-2	1	1	4	-2	-2	-2	-2	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	-2	-2	-2	-2	1	1	4	-2	-2	-2	-2	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	-4	4	4	-4	-4	4	-4	0	1	-1	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₂₁	4	-4	4	4	-4	-4	4	-4	0	1	-1	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₂₂	4	-4	4	4	-4	-4	4	-4	0	-2	2	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	4	-2	2	-4	-2	2	0	-2	2	0	0	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0
χ₂₄	4	-4	4	-2	2	-4	-2	2	0	-2	2	0	0	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0
χ₂₅	4	-4	-2	4	-4	2	-2	2	0	-2	2	0	0	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0
χ₂₆	4	-4	-2	4	-4	2	-2	2	0	-2	2	0	0	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0
χ₂₇	6	6	6	-3	-3	6	-3	-3	-2	0	0	1	-2	0	0	0	0	0	0	0	0	0	1	2	0	-2	0	1	1	0	0	0	-1	0	0	0
χ₂₈	6	6	6	-3	-3	6	-3	-3	-2	0	0	1	-2	0	0	0	0	0	0	0	0	0	1	-2	0	2	0	-1	-1	0	0	0	1	0	0	0
χ₂₉	6	6	-3	6	6	-3	-3	-3	-2	0	0	-2	1	0	0	0	0	0	0	0	0	0	1	0	2	0	-2	0	0	1	1	0	0	0	0	-1
χ₃₀	6	6	-3	6	6	-3	-3	-3	-2	0	0	-2	1	0	0	0	0	0	0	0	0	0	1	0	-2	0	2	0	0	-1	-1	0	0	0	0	1
χ₃₁	8	-8	8	-4	4	-8	-4	4	0	2	-2	0	0	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	8	-8	-4	8	-8	4	-4	4	0	2	-2	0	0	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	-8	-4	-4	4	4	2	-2	0	2	-2	0	0	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	-4	-4	4	4	2	-2	0	2	-2	0	0	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	-4	-4	4	4	2	-2	0	-4	4	0	0	2	2	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	12	-6	-6	-6	-6	3	3	-4	0	0	2	2	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11724210