Group #11920355 — 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	3	6	8	8	8	18	18	1	2	3	6	8	8	8	18	18	2	4	6	12	16	16	16	36	36	2	4	6	12	16	16	16	36	36	2	4	6	12	16	16	16	36	36	4	8	12	24	32	32	32	72	72	4	8	12	24	32	32	32	72	72
order	1	3	2	6	9	9	9	2	4	2	6	2	6	18	18	18	2	4	4	12	4	12	36	36	36	4	4	8	24	8	24	72	72	72	8	8	8	24	8	24	72	72	72	8	8	2	6	2	6	18	18	18	2	4	2	6	2	6	18	18	18	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	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	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0
χ₄	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0
χ₅	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0
χ₆	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0
χ₇	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1
χ₈	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1
χ₉	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₁	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₂	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	-2	-2	-2	-2	1	1	1	0	0	-2	-2	-2	-2	1	1	1	0	0
χ₁₃	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0
χ₁₄	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0
χ₁₅	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0
χ₁₆	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	-3	-3	1	1	0	0	0	-1	1	-3	-3	1	1	0	0	0	-1	1
χ₁₇	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	-3	-3	1	1	0	0	0	1	-1	-3	-3	1	1	0	0	0	1	-1
χ₁₈	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₀	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₁	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	-2	-2	-2	-2	1	1	1	0	0	-2	-2	-2	-2	1	1	1	0	0	2	2	2	2	-1	-1	-1	0	0	-2	-2	-2	-2	1	1	1	0	0
χ₂₂	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0
χ₂₃	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0
χ₂₄	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0
χ₂₅	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	-3	-3	1	1	0	0	0	-1	1	-3	-3	1	1	0	0	0	-1	1	3	3	-1	-1	0	0	0	1	-1	-3	-3	1	1	0	0	0	-1	1
χ₂₆	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	-3	-3	1	1	0	0	0	1	-1	-3	-3	1	1	0	0	0	1	-1	3	3	-1	-1	0	0	0	-1	1	-3	-3	1	1	0	0	0	1	-1
χ₂₇	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1
χ₂₉	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1
χ₃₀	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	-2	-2	-2	-2	1	1	1	0	0	-2	-2	-2	-2	1	1	1	0	0	-2	-2	-2	-2	1	1	1	0	0	2	2	2	2	-1	-1	-1	0	0
χ₃₁	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	-2	1	-2	1	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	0	0	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	0	0
χ₃₂	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	-2	1	-2	1	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0
χ₃₃	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	-2	1	-2	1	ζ⁴+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0
χ₃₄	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	-3	-3	1	1	0	0	0	-1	1	-3	-3	1	1	0	0	0	-1	1	-3	-3	1	1	0	0	0	-1	1	3	3	-1	-1	0	0	0	1	-1
χ₃₅	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	-3	-3	1	1	0	0	0	1	-1	-3	-3	1	1	0	0	0	1	-1	-3	-3	1	1	0	0	0	1	-1	3	3	-1	-1	0	0	0	-1	1
χ₃₆	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0
χ₃₇	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	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
χ₃₈	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	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
χ₃₉	4	4	4	4	-2	-2	-2	0	0	4	4	4	4	-2	-2	-2	0	0	-4	-4	-4	-4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-2	4	-2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	4	-2	4	-2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	-4	2	-4	2	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	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	0
χ₄₁	4	-2	4	-2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	4	-2	4	-2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	-4	2	-4	2	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	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	0
χ₄₂	4	-2	4	-2	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	4	-2	4	-2	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	-4	2	-4	2	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	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	0
χ₄₃	6	6	-2	-2	0	0	0	2	-2	6	6	-2	-2	0	0	0	2	-2	-6	-6	2	2	0	0	0	-2	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
χ₄₄	6	6	-2	-2	0	0	0	-2	2	6	6	-2	-2	0	0	0	-2	2	-6	-6	2	2	0	0	0	2	-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
χ₄₅	12	-6	-4	2	0	0	0	0	0	12	-6	-4	2	0	0	0	0	0	-12	6	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	0	0	0	0
χ₄₆	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	4	4	4	-2	-2	-2	0	0	-4	-4	-4	-4	2	2	2	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-2	4	-2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	-4	2	-4	2	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ¹³+ζ²³+ζ³¹	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ¹³−ζ²³−ζ³¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-2	4	-2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	-4	2	-4	2	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ¹³+ζ²³+ζ³¹	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ¹³−ζ²³−ζ³¹	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-2	4	-2	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	-4	2	-4	2	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−ζ⁵−ζ¹³+ζ²³+ζ³¹	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	ζ⁵+ζ¹³−ζ²³−ζ³¹	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	6	6	-2	-2	0	0	0	2	-2	-6	-6	2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	$3 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	6	6	-2	-2	0	0	0	-2	2	-6	-6	2	2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	$3 \sqrt{2}$	$3 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	12	-6	-4	2	0	0	0	0	0	-12	6	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$6 \sqrt{2}$	$- 3 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	$- 6 \sqrt{2}$	$3 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	4	4	4	-2	-2	-2	0	0	-4	-4	-4	-4	2	2	2	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	-2	4	-2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	0	0	-4	2	-4	2	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ¹³−ζ²³−ζ³¹	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ¹³+ζ²³+ζ³¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	-2	4	-2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	0	0	-4	2	-4	2	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ¹³−ζ²³−ζ³¹	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ¹³+ζ²³+ζ³¹	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	-2	4	-2	−2ζ⁴−2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	0	0	-4	2	-4	2	2ζ⁴+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	ζ⁵+ζ¹³−ζ²³−ζ³¹	ζ⁷−ζ¹³+ζ³¹+ζ⁵³−ζ⁶¹−ζ⁷¹	−ζ⁵−ζ⁷+ζ²³−ζ⁵³+ζ⁶¹+ζ⁷¹	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−ζ⁵−ζ¹³+ζ²³+ζ³¹	−ζ⁷+ζ¹³−ζ³¹−ζ⁵³+ζ⁶¹+ζ⁷¹	ζ⁵+ζ⁷−ζ²³+ζ⁵³−ζ⁶¹−ζ⁷¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	6	6	-2	-2	0	0	0	2	-2	-6	-6	2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$3 \sqrt{2}$	$3 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	6	6	-2	-2	0	0	0	-2	2	-6	-6	2	2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$3 \sqrt{2}$	$3 \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	12	-6	-4	2	0	0	0	0	0	-12	6	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 6 \sqrt{2}$	$3 \sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	$6 \sqrt{2}$	$- 3 \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	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 #11920355