Group #72224531 — 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	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃
size	1	2	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	18	18	27	27	36	36	36	36	36	36	54	54	72	72	72	72	72	72	72	72	72	72	81	108	108	108	108	108	108	108	108	162	162	216	216	324	486
order	1	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	2	2	2	2	6	6	6	6	6	6	2	2	6	6	6	6	6	6	6	6	6	6	2	6	6	6	6	6	6	6	6	4	6	6	6	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	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	-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	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	-1	-1	-1	-1	1	1	-1	1	-1	1	-1	1
χ₅	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	1	1	-1	-1	1	1	-1	1	-1	1	-1	-1
χ₆	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	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	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	-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
χ₈	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	-1	-1	1	1	1	1	1	1	1	1	1	-1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	-2	0	0	0	0	0	-2	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	0	0	0	0	0	-2	0	0	0	0
χ₁₁	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	0	0	-1	-1	2	2	2	2	0	0	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	0	0	0	0	0	0	0	0	2	-1	0	0	-1	0
χ₁₂	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-2	0	0	-1	1	2	2	-2	-2	0	0	2	-1	-1	-1	-1	-2	1	1	1	1	2	0	0	0	0	0	0	0	0	-2	-1	0	0	1	0
χ₁₃	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	2	0	0	1	-1	-2	-2	2	2	0	0	-2	1	1	1	1	2	-1	-1	-1	-1	2	0	0	0	0	0	0	0	0	-2	-1	0	0	1	0
χ₁₄	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	0	0	1	1	-2	-2	-2	-2	0	0	-2	1	1	1	1	-2	1	1	1	1	2	0	0	0	0	0	0	0	0	2	-1	0	0	-1	0
χ₁₅	4	4	1	4	4	-2	1	-2	1	1	1	4	4	-2	-2	-2	1	-2	1	-2	1	1	1	-2	-2	-2	0	2	0	4	0	2	0	0	2	-1	0	2	0	0	0	0	0	-1	2	-1	-1	-1	0	0	0	1	-2	0	0	2	-1	0	0	0	-1	0	0
χ₁₆	4	4	1	4	4	-2	1	-2	1	1	1	4	4	-2	-2	-2	1	-2	1	-2	1	1	1	-2	-2	-2	0	2	0	-4	0	2	0	0	2	-1	0	-2	0	0	0	0	0	-1	2	-1	-1	-1	0	0	0	-1	2	0	0	-2	1	0	0	0	1	0	0
χ₁₇	4	4	1	4	4	-2	1	-2	1	1	1	4	4	-2	-2	-2	1	-2	1	-2	1	1	1	-2	-2	-2	0	-2	0	4	0	-2	0	0	-2	1	0	-2	0	0	0	0	0	1	-2	1	1	1	0	0	0	1	-2	0	0	-2	1	0	0	0	1	0	0
χ₁₈	4	4	1	4	4	-2	1	-2	1	1	1	4	4	-2	-2	-2	1	-2	1	-2	1	1	1	-2	-2	-2	0	-2	0	-4	0	-2	0	0	-2	1	0	2	0	0	0	0	0	1	-2	1	1	1	0	0	0	-1	2	0	0	2	-1	0	0	0	-1	0	0
χ₁₉	4	4	4	1	-2	4	1	-2	1	1	4	1	-2	4	-2	-2	1	-2	-2	1	1	-2	-2	1	1	-2	0	2	4	0	0	2	0	0	-1	2	0	2	0	0	0	0	0	-1	-1	2	-1	-1	0	1	-2	0	0	0	0	-1	2	0	0	0	-1	0	0
χ₂₀	4	4	4	1	-2	4	1	-2	1	1	4	1	-2	4	-2	-2	1	-2	-2	1	1	-2	-2	1	1	-2	0	2	-4	0	0	2	0	0	-1	2	0	-2	0	0	0	0	0	-1	-1	2	-1	-1	0	-1	2	0	0	0	0	1	-2	0	0	0	1	0	0
χ₂₁	4	4	4	1	-2	4	1	-2	1	1	4	1	-2	4	-2	-2	1	-2	-2	1	1	-2	-2	1	1	-2	0	-2	4	0	0	-2	0	0	1	-2	0	-2	0	0	0	0	0	1	1	-2	1	1	0	1	-2	0	0	0	0	1	-2	0	0	0	1	0	0
χ₂₂	4	4	4	1	-2	4	1	-2	1	1	4	1	-2	4	-2	-2	1	-2	-2	1	1	-2	-2	1	1	-2	0	-2	-4	0	0	-2	0	0	1	-2	0	2	0	0	0	0	0	1	1	-2	1	1	0	-1	2	0	0	0	0	-1	2	0	0	0	-1	0	0
χ₂₃	4	4	4	-2	1	4	-2	1	-2	-2	4	-2	1	4	1	1	-2	1	1	-2	-2	1	1	-2	-2	1	2	0	4	0	2	0	-1	2	0	0	2	0	-1	-1	2	-1	-1	0	0	0	0	0	0	-2	1	0	0	-1	2	0	0	0	0	-1	0	0	0
χ₂₄	4	4	4	-2	1	4	-2	1	-2	-2	4	-2	1	4	1	1	-2	1	1	-2	-2	1	1	-2	-2	1	2	0	-4	0	2	0	-1	2	0	0	-2	0	-1	-1	2	-1	-1	0	0	0	0	0	0	2	-1	0	0	1	-2	0	0	0	0	1	0	0	0
χ₂₅	4	4	4	-2	1	4	-2	1	-2	-2	4	-2	1	4	1	1	-2	1	1	-2	-2	1	1	-2	-2	1	-2	0	4	0	-2	0	1	-2	0	0	-2	0	1	1	-2	1	1	0	0	0	0	0	0	-2	1	0	0	1	-2	0	0	0	0	1	0	0	0
χ₂₆	4	4	4	-2	1	4	-2	1	-2	-2	4	-2	1	4	1	1	-2	1	1	-2	-2	1	1	-2	-2	1	-2	0	-4	0	-2	0	1	-2	0	0	2	0	1	1	-2	1	1	0	0	0	0	0	0	2	-1	0	0	-1	2	0	0	0	0	-1	0	0	0
χ₂₇	4	4	-2	4	4	1	-2	1	-2	-2	-2	4	4	1	1	1	-2	1	-2	1	-2	-2	-2	1	1	1	2	0	0	4	2	0	2	-1	0	0	2	0	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	-2	1	2	-1	0	0	0	0	-1	0	0	0
χ₂₈	4	4	-2	4	4	1	-2	1	-2	-2	-2	4	4	1	1	1	-2	1	-2	1	-2	-2	-2	1	1	1	2	0	0	-4	2	0	2	-1	0	0	-2	0	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	2	-1	-2	1	0	0	0	0	1	0	0	0
χ₂₉	4	4	-2	4	4	1	-2	1	-2	-2	-2	4	4	1	1	1	-2	1	-2	1	-2	-2	-2	1	1	1	-2	0	0	4	-2	0	-2	1	0	0	-2	0	1	-2	1	1	1	0	0	0	0	0	0	0	0	-2	1	-2	1	0	0	0	0	1	0	0	0
χ₃₀	4	4	-2	4	4	1	-2	1	-2	-2	-2	4	4	1	1	1	-2	1	-2	1	-2	-2	-2	1	1	1	-2	0	0	-4	-2	0	-2	1	0	0	2	0	1	-2	1	1	1	0	0	0	0	0	0	0	0	2	-1	2	-1	0	0	0	0	-1	0	0	0
χ₃₁	4	-2	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	4	4	4	4	-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	0	-4	0	0	0	0	0	0	0	0	0	2	0	0	0	0
χ₃₂	8	8	2	2	-4	-4	5	2	5	5	2	2	-4	-4	2	2	-4	2	-1	-1	-4	-1	-1	-1	-1	2	0	4	0	0	0	4	0	0	-2	-2	0	0	0	0	0	0	0	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	2	2	-4	-4	5	2	5	5	2	2	-4	-4	2	2	-4	2	-1	-1	-4	-1	-1	-1	-1	2	0	-4	0	0	0	-4	0	0	2	2	0	0	0	0	0	0	0	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	2	2	-4	-4	-4	2	-4	-4	2	2	-4	-4	2	2	5	2	-1	-1	5	-1	-1	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	1	0	0
χ₃₅	8	8	2	2	-4	-4	-4	2	-4	-4	2	2	-4	-4	2	2	5	2	-1	-1	5	-1	-1	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	-1	0	0
χ₃₆	8	8	-4	-4	2	2	2	5	2	2	-4	-4	2	2	5	5	2	-4	-1	-1	2	-1	-1	-1	-1	-4	4	0	0	0	4	0	-2	-2	0	0	0	0	1	-2	-2	1	1	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	2	2	2	5	2	2	-4	-4	2	2	5	5	2	-4	-1	-1	2	-1	-1	-1	-1	-4	-4	0	0	0	-4	0	2	2	0	0	0	0	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	-4	-4	2	2	2	-4	2	2	-4	-4	2	2	-4	-4	2	5	-1	-1	2	-1	-1	-1	-1	5	0	0	0	0	0	0	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	1	0	0	0
χ₃₉	8	8	-4	-4	2	2	2	-4	2	2	-4	-4	2	2	-4	-4	2	5	-1	-1	2	-1	-1	-1	-1	5	0	0	0	0	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	-1	0	0	0
χ₄₀	8	-4	2	2	-4	-4	5	2	$\frac{- 5 - 3 i \sqrt{3}}{2}$	$\frac{- 5 + 3 i \sqrt{3}}{2}$	-1	-1	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	-4	2	-1	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	0	4	0	0	0	-2	0	0	-2	-2	0	0	0	0	0	0	0	1	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
χ₄₁	8	-4	2	2	-4	-4	5	2	$\frac{- 5 - 3 i \sqrt{3}}{2}$	$\frac{- 5 + 3 i \sqrt{3}}{2}$	-1	-1	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	-4	2	-1	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	0	-4	0	0	0	2	0	0	2	2	0	0	0	0	0	0	0	-1	-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
χ₄₂	8	-4	2	2	-4	-4	5	2	$\frac{- 5 + 3 i \sqrt{3}}{2}$	$\frac{- 5 - 3 i \sqrt{3}}{2}$	-1	-1	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	-4	2	-1	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	0	4	0	0	0	-2	0	0	-2	-2	0	0	0	0	0	0	0	1	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
χ₄₃	8	-4	2	2	-4	-4	5	2	$\frac{- 5 + 3 i \sqrt{3}}{2}$	$\frac{- 5 - 3 i \sqrt{3}}{2}$	-1	-1	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	-4	2	-1	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	0	-4	0	0	0	2	0	0	2	2	0	0	0	0	0	0	0	-1	-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
χ₄₄	8	-4	2	8	8	-4	2	-4	-1	-1	-1	-4	-4	2	2	2	2	-4	2	-4	-1	-1	-1	2	2	2	0	4	0	0	0	-2	0	0	4	-2	0	0	0	0	0	0	0	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-4	2	8	8	-4	2	-4	-1	-1	-1	-4	-4	2	2	2	2	-4	2	-4	-1	-1	-1	2	2	2	0	-4	0	0	0	2	0	0	-4	2	0	0	0	0	0	0	0	2	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-4	8	2	-4	8	2	-4	-1	-1	-4	-1	2	-4	2	2	2	-4	-4	2	-1	2	2	-1	-1	2	0	4	0	0	0	-2	0	0	-2	4	0	0	0	0	0	0	0	-2	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-4	8	2	-4	8	2	-4	-1	-1	-4	-1	2	-4	2	2	2	-4	-4	2	-1	2	2	-1	-1	2	0	-4	0	0	0	2	0	0	2	-4	0	0	0	0	0	0	0	2	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-4	8	-4	2	8	-4	2	2	2	-4	2	-1	-4	-1	-1	-4	2	2	-4	2	-1	-1	2	2	-1	4	0	0	0	-2	0	-2	4	0	0	0	0	-2	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-4	8	-4	2	8	-4	2	2	2	-4	2	-1	-4	-1	-1	-4	2	2	-4	2	-1	-1	2	2	-1	-4	0	0	0	2	0	2	-4	0	0	0	0	2	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	-4	-4	8	8	2	-4	2	2	2	2	-4	-4	-1	-1	-1	-4	2	-4	2	2	2	2	-1	-1	-1	4	0	0	0	-2	0	4	-2	0	0	0	0	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	8	-4	-4	8	8	2	-4	2	2	2	2	-4	-4	-1	-1	-1	-4	2	-4	2	2	2	2	-1	-1	-1	-4	0	0	0	2	0	-4	2	0	0	0	0	2	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	-4	-4	-4	2	2	2	5	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	-1	-1	$\frac{- 5 - 3 i \sqrt{3}}{2}$	$\frac{- 5 + 3 i \sqrt{3}}{2}$	2	-4	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	2	4	0	0	0	-2	0	-2	-2	0	0	0	0	1	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	0	0	0	0	0
χ₅₃	8	-4	-4	-4	2	2	2	5	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	-1	-1	$\frac{- 5 - 3 i \sqrt{3}}{2}$	$\frac{- 5 + 3 i \sqrt{3}}{2}$	2	-4	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	2	-4	0	0	0	2	0	2	2	0	0	0	0	-1	-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	0	0	0	0	0
χ₅₄	8	-4	-4	-4	2	2	2	5	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	-1	-1	$\frac{- 5 + 3 i \sqrt{3}}{2}$	$\frac{- 5 - 3 i \sqrt{3}}{2}$	2	-4	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	2	4	0	0	0	-2	0	-2	-2	0	0	0	0	1	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	0	0	0	0	0
χ₅₅	8	-4	-4	-4	2	2	2	5	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	-1	-1	$\frac{- 5 + 3 i \sqrt{3}}{2}$	$\frac{- 5 - 3 i \sqrt{3}}{2}$	2	-4	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	2	-4	0	0	0	2	0	2	2	0	0	0	0	-1	-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	0	0	0	0	0
χ₅₆	16	16	4	-8	4	-8	-2	-2	-2	-2	4	-8	4	-8	-2	-2	-2	-2	1	4	-2	1	1	4	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	16	16	-8	4	-8	4	-2	-2	-2	-2	-8	4	-8	4	-2	-2	-2	-2	4	1	-2	4	4	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	16	-8	4	4	-8	-8	-8	4	4	4	-2	-2	4	4	-2	-2	10	4	-2	-2	-5	1	1	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	16	-8	4	-8	4	-8	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-2	4	-2	4	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-2	-2	1	4	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$- 2 - 3 i \sqrt{3}$	$- 2 + 3 i \sqrt{3}$	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	16	-8	4	-8	4	-8	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-2	4	-2	4	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-2	-2	1	4	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$- 2 + 3 i \sqrt{3}$	$- 2 - 3 i \sqrt{3}$	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	16	-8	-8	4	-8	4	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	4	-2	4	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	-2	-2	4	1	1	$- 2 - 3 i \sqrt{3}$	$- 2 + 3 i \sqrt{3}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	16	-8	-8	4	-8	4	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	4	-2	4	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	-2	-2	4	1	1	$- 2 + 3 i \sqrt{3}$	$- 2 - 3 i \sqrt{3}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	16	-8	-8	-8	4	4	4	-8	-2	-2	4	4	-2	-2	4	4	4	10	-2	-2	-2	1	1	1	1	-5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72224531