Group #72242420 — 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	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁
size	1	1	2	2	6	6	8	8	8	8	12	12	16	16	16	16	18	36	36	36	36	36	48	48	64	64	64	64	64	64	72	72	72	72	72	72	96	96	108	108	108	108	144	144	144	144	144	144	144	288	288
order	1	2	3	6	4	4	3	3	6	6	12	12	3	3	6	6	2	2	4	6	8	8	12	12	3	3	3	6	6	6	2	4	8	8	12	12	12	12	2	4	8	8	6	24	24	24	24	24	24	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	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	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	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	1	1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1
χ₅	2	2	2	2	2	2	2	-1	-1	2	2	2	2	-1	2	-1	2	2	0	2	2	0	-1	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	-1	0	2	2	0	0	0	0	-1	-1	0	0	-1	0
χ₆	2	2	2	2	2	2	2	-1	-1	2	2	2	2	-1	2	-1	2	-2	0	2	-2	0	-1	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	-1	0	-2	-2	0	0	0	0	1	1	0	0	1	0
χ₇	2	2	2	2	2	2	-1	2	2	-1	2	2	-1	2	-1	2	2	0	2	2	0	2	2	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-1	2	2	0	0	2	0	0	0	0	0	-1	-1	0	-1
χ₈	2	2	2	2	2	2	-1	2	2	-1	2	2	-1	2	-1	2	2	0	-2	2	0	-2	2	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-1	2	-2	0	0	-2	0	0	0	0	0	1	1	0	1
χ₉	2	2	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	0	0	-1	0	0	2	2	2	-1	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0	0
χ₁₀	2	2	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	0	0	-1	0	0	2	2	2	-1	-1	2	-1	-1	-2	-2	-2	-2	1	1	-1	-1	0	0	0	0	1	1	1	0	0	0	0	0	0
χ₁₁	3	3	3	3	3	-1	0	3	3	0	3	-1	0	3	0	3	-1	1	3	-1	-1	3	-1	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	0	-1	-1	1	-1	-1	1	1	-1	-1	-1	0	0	1	0
χ₁₂	3	3	3	3	3	-1	0	3	3	0	3	-1	0	3	0	3	-1	1	-3	-1	-1	-3	-1	0	0	0	0	0	0	0	-1	1	-1	1	1	1	0	-1	1	1	-1	1	-1	-1	1	-1	-1	0	0	1	0
χ₁₃	3	3	3	3	3	-1	0	3	3	0	3	-1	0	3	0	3	-1	-1	3	-1	1	3	-1	0	0	0	0	0	0	0	-1	1	-1	1	1	1	0	-1	-1	-1	1	-1	-1	-1	1	1	1	0	0	-1	0
χ₁₄	3	3	3	3	3	-1	0	3	3	0	3	-1	0	3	0	3	-1	-1	-3	-1	1	-3	-1	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	0	-1	1	-1	1	1	1	1	-1	1	1	0	0	-1	0
χ₁₅	3	3	3	3	-1	3	3	0	0	3	-1	3	3	0	3	0	-1	3	1	-1	3	-1	0	-1	0	0	0	0	0	0	1	-1	-1	1	-1	-1	-1	0	1	-1	-1	-1	1	-1	1	0	0	-1	-1	0	1
χ₁₆	3	3	3	3	-1	3	3	0	0	3	-1	3	3	0	3	0	-1	3	-1	-1	3	1	0	-1	0	0	0	0	0	0	-1	1	1	-1	1	1	-1	0	-1	-1	-1	1	-1	1	-1	0	0	1	1	0	-1
χ₁₇	3	3	3	3	-1	3	3	0	0	3	-1	3	3	0	3	0	-1	-3	1	-1	-3	-1	0	-1	0	0	0	0	0	0	-1	1	1	-1	1	1	-1	0	1	1	1	-1	-1	1	-1	0	0	-1	-1	0	1
χ₁₈	3	3	3	3	-1	3	3	0	0	3	-1	3	3	0	3	0	-1	-3	-1	-1	-3	1	0	-1	0	0	0	0	0	0	1	-1	-1	1	-1	-1	-1	0	-1	1	1	1	1	-1	1	0	0	1	1	0	-1
χ₁₉	4	4	4	4	4	4	-2	-2	-2	-2	4	4	-2	-2	-2	-2	4	0	0	4	0	0	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	-2	-2	4	4	4	-2	-2	4	-2	-2	-2	1	-2	1	4	0	0	-2	0	0	-2	4	-2	1	1	-2	1	1	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	-2	-2	4	4	-2	4	4	-2	-2	-2	1	-2	1	-2	4	0	0	-2	0	0	4	-2	-2	1	1	-2	1	1	0	0	0	0	0	0	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	-2	-2	4	4	-2	-2	-2	-2	-2	-2	1	1	1	1	4	0	0	-2	0	0	-2	-2	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	-2	-2	4	4	-2	-2	-2	-2	-2	-2	1	1	1	1	4	0	0	-2	0	0	-2	-2	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	6	6	6	-2	0	-3	-3	0	6	-2	0	-3	0	-3	-2	2	0	-2	-2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	2	-2	0	0	0	0	1	1	0	0	-1	0
χ₂₅	6	6	6	6	6	-2	0	-3	-3	0	6	-2	0	-3	0	-3	-2	-2	0	-2	2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	-2	2	0	0	0	0	-1	-1	0	0	1	0
χ₂₆	6	6	6	6	-2	6	-3	0	0	-3	-2	6	-3	0	-3	0	-2	0	2	-2	0	-2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	2	0	0	-2	0	0	0	0	0	1	1	0	-1
χ₂₇	6	6	6	6	-2	6	-3	0	0	-3	-2	6	-3	0	-3	0	-2	0	-2	-2	0	2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	-2	0	0	2	0	0	0	0	0	-1	-1	0	1
χ₂₈	6	6	-3	-3	6	-2	0	6	6	0	-3	1	0	-3	0	-3	-2	0	0	1	0	0	-2	0	0	0	0	0	0	0	2	-2	2	-2	1	1	0	1	0	0	0	0	-1	-1	1	0	0	0	0	0	0
χ₂₉	6	6	-3	-3	6	-2	0	6	6	0	-3	1	0	-3	0	-3	-2	0	0	1	0	0	-2	0	0	0	0	0	0	0	-2	2	-2	2	-1	-1	0	1	0	0	0	0	1	1	-1	0	0	0	0	0	0
χ₃₀	6	6	-3	-3	-2	6	6	0	0	6	1	-3	-3	0	-3	0	-2	0	0	1	0	0	0	-2	0	0	0	0	0	0	2	-2	-2	2	1	1	1	0	0	0	0	0	-1	1	-1	0	0	0	0	0	0
χ₃₁	6	6	-3	-3	-2	6	6	0	0	6	1	-3	-3	0	-3	0	-2	0	0	1	0	0	0	-2	0	0	0	0	0	0	-2	2	2	-2	-1	-1	1	0	0	0	0	0	1	-1	1	0	0	0	0	0	0
χ₃₂	8	-8	8	-8	0	0	2	-4	4	-2	0	0	2	-4	-2	4	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0
χ₃₃	8	-8	8	-8	0	0	2	-4	4	-2	0	0	2	-4	-2	4	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0
χ₃₄	8	-8	8	-8	0	0	-4	2	-2	4	0	0	-4	2	4	-2	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0
χ₃₅	8	-8	8	-8	0	0	-4	2	-2	4	0	0	-4	2	4	-2	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0
χ₃₆	8	-8	8	-8	0	0	-4	-4	4	4	0	0	-4	-4	4	4	0	0	0	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	-4	4	0	0	-4	-4	4	4	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	-4	4	0	0	-4	-4	4	4	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	9	9	9	9	-3	-3	0	0	0	0	-3	-3	0	0	0	0	1	3	3	1	-3	-3	0	0	0	0	0	0	0	0	1	1	-1	-1	1	1	0	0	-1	-1	1	1	1	-1	-1	0	0	0	0	0	0
χ₄₀	9	9	9	9	-3	-3	0	0	0	0	-3	-3	0	0	0	0	1	3	-3	1	-3	3	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1	0	0	1	-1	1	-1	-1	1	1	0	0	0	0	0	0
χ₄₁	9	9	9	9	-3	-3	0	0	0	0	-3	-3	0	0	0	0	1	-3	3	1	3	-3	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1	0	0	-1	1	-1	1	-1	1	1	0	0	0	0	0	0
χ₄₂	9	9	9	9	-3	-3	0	0	0	0	-3	-3	0	0	0	0	1	-3	-3	1	3	3	0	0	0	0	0	0	0	0	1	1	-1	-1	1	1	0	0	1	1	-1	-1	1	-1	-1	0	0	0	0	0	0
χ₄₃	12	12	-6	-6	12	-4	0	-6	-6	0	-6	2	0	3	0	3	-4	0	0	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	12	-6	-6	-4	12	-6	0	0	-6	2	-6	3	0	3	0	-4	0	0	2	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	16	-16	16	-16	0	0	4	4	-4	-4	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	16	-16	-8	8	0	0	4	4	-4	-4	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-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	0	0	0	0	0	0
χ₄₇	16	-16	-8	8	0	0	4	4	-4	-4	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-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	0	0	0	0	0	0
χ₄₈	16	-16	-8	8	0	0	4	-8	8	-4	0	0	-2	4	2	-4	0	0	0	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	16	-16	-8	8	0	0	-8	4	-4	8	0	0	4	-2	-4	2	0	0	0	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	18	18	-9	-9	-6	-6	0	0	0	0	3	3	0	0	0	0	2	0	0	-1	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	-1	-1	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0
χ₅₁	18	18	-9	-9	-6	-6	0	0	0	0	3	3	0	0	0	0	2	0	0	-1	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	1	1	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0	0

Character table — Group #72242420