Group #3664 — 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
size	1	1	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	2	2	2	2	2	2	2	2	2	36	36
order	1	2	3	4	6	8	8	9	9	9	12	12	18	18	18	24	24	24	24	36	36	36	36	36	36	72	72	72	72	72	72	72	72	72	72	72	72	2	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
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
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
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
χ₅	2	2	2	2	2	2	2	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0
χ₆	2	2	2	2	2	-2	-2	-1	-1	-1	2	2	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	0	0
χ₇	2	2	2	-2	2	0	0	2	2	2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	2	-2	2	0	0	-1	-1	-1	-2	-2	-1	-1	-1	0	0	0	0	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0
χ₉	2	2	2	-2	2	0	0	-1	-1	-1	-2	-2	-1	-1	-1	0	0	0	0	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0
χ₁₀	2	2	-1	2	-1	2	2	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0
χ₁₁	2	2	-1	2	-1	2	2	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0
χ₁₂	2	2	-1	2	-1	2	2	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	-1	-1	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	0	0
χ₁₃	2	2	-1	2	-1	-2	-2	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0
χ₁₄	2	2	-1	2	-1	-2	-2	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0
χ₁₅	2	2	-1	2	-1	-2	-2	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	1	1	−ζ⁴−ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0
χ₁₆	2	2	-1	-2	-1	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	0	0
χ₁₇	2	2	-1	-2	-1	0	0	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	0	0
χ₁₈	2	2	-1	-2	-1	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	0	0
χ₁₉	2	2	-1	-2	-1	0	0	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	0	0
χ₂₀	2	2	-1	-2	-1	0	0	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	0	0
χ₂₁	2	2	-1	-2	-1	0	0	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	ζ⁴+ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ¹⁴−ζ²²	ζ¹⁴−ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ¹⁴+ζ²²	−ζ¹⁴+ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	0	0
χ₂₂	2	-2	2	0	-2	$- i \sqrt{2}$	$i \sqrt{2}$	2	2	2	0	0	-2	-2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₂₃	2	-2	2	0	-2	$- i \sqrt{2}$	$i \sqrt{2}$	-1	-1	-1	0	0	1	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	0	0
χ₂₄	2	-2	2	0	-2	$- i \sqrt{2}$	$i \sqrt{2}$	-1	-1	-1	0	0	1	1	1	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	0	0
χ₂₅	2	-2	2	0	-2	$i \sqrt{2}$	$- i \sqrt{2}$	2	2	2	0	0	-2	-2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₂₆	2	-2	2	0	-2	$i \sqrt{2}$	$- i \sqrt{2}$	-1	-1	-1	0	0	1	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	0	0
χ₂₇	2	-2	2	0	-2	$i \sqrt{2}$	$- i \sqrt{2}$	-1	-1	-1	0	0	1	1	1	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	0	0
χ₂₈	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0
χ₂₉	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	0	0
χ₃₀	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	0	0
χ₃₁	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	0	0
χ₃₂	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$\sqrt{3}$	$- \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	0	0
χ₃₃	2	-2	-1	0	1	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$- \sqrt{3}$	$\sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ³⁹+ζ⁶⁹	−ζ³⁹−ζ⁶⁹	ζ¹⁵+ζ²¹	−ζ¹⁵−ζ²¹	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ²³+ζ⁶¹−ζ⁷¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	ζ⁵+ζ³¹	−ζ⁵−ζ³¹	−ζ⁵+ζ⁷−ζ⁵³	ζ⁵−ζ⁷+ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	0	0
χ₃₄	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0
χ₃₅	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	0	0
χ₃₆	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	0	0
χ₃₇	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	0	0
χ₃₈	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$\sqrt{3}$	$- \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ¹⁴+ζ²²	ζ¹⁴−ζ²²	ζ¹⁴+ζ⁶²+ζ⁷⁰	−ζ¹⁴−ζ⁶²−ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	0	0
χ₃₉	2	-2	-1	0	1	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	$- \sqrt{3}$	$\sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ³⁹−ζ⁶⁹	ζ³⁹+ζ⁶⁹	−ζ¹⁵−ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁴−ζ²²	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ⁶²−ζ⁷⁰	ζ¹⁴+ζ⁶²+ζ⁷⁰	ζ²²+ζ⁶²+ζ⁷⁰	−ζ²²−ζ⁶²−ζ⁷⁰	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ²³−ζ⁶¹+ζ⁷¹	−ζ²³+ζ⁶¹−ζ⁷¹	ζ¹³+ζ⁶¹−ζ⁷¹	−ζ¹³−ζ⁶¹+ζ⁷¹	−ζ⁵−ζ³¹	ζ⁵+ζ³¹	ζ⁵−ζ⁷+ζ⁵³	−ζ⁵+ζ⁷−ζ⁵³	ζ⁷+ζ³¹−ζ⁵³	−ζ⁷−ζ³¹+ζ⁵³	0	0

Character table — Group #3664