Group #3675 — 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
size	1	1	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	18	18	36
order	1	2	3	4	6	9	9	9	18	18	18	4	12	12	12	36	36	36	36	36	36	36	36	36	8	8	2
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
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
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
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
χ₅	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0
χ₆	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	2	-2	-2	-1	-1	-1	1	1	1	1	1	1	0	0	0
χ₇	2	2	2	-2	2	2	2	2	2	2	2	0	-2	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0
χ₈	2	2	2	-2	2	-1	-1	-1	-1	-1	-1	0	-2	0	0	1	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₉	2	2	2	-2	2	-1	-1	-1	-1	-1	-1	0	-2	0	0	1	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₀	2	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	2	-1	-1	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	0	0	0
χ₁₁	2	2	-1	2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	-2	-1	1	1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	0	0	0
χ₁₂	2	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	2	-1	-1	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	0	0
χ₁₃	2	2	-1	2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	-2	-1	1	1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	0	0	0
χ₁₄	2	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	2	-1	-1	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	0	0
χ₁₅	2	2	-1	2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	-2	-1	1	1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	0	0	0
χ₁₆	2	2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	0	0	0
χ₁₇	2	2	-1	-2	-1	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁶⁸	0	0	0
χ₁₈	2	2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	0	0	0
χ₁₉	2	2	-1	-2	-1	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	−ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	0	0	0
χ₂₀	2	2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	ζ⁴−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	0	0	0
χ₂₁	2	2	-1	-2	-1	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	−ζ⁴−ζ⁶⁸	ζ⁴⁴−ζ⁵²+ζ⁶⁸	ζ⁴−ζ⁴⁴+ζ⁵²	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	ζ⁴+ζ⁶⁸	−ζ⁴⁴+ζ⁵²−ζ⁶⁸	−ζ⁴+ζ⁴⁴−ζ⁵²	ζ⁴−ζ⁶⁸	ζ⁴⁴+ζ⁵²+ζ⁶⁸	−ζ⁴−ζ⁴⁴−ζ⁵²	−ζ⁴+ζ⁶⁸	−ζ⁴⁴−ζ⁵²−ζ⁶⁸	ζ⁴+ζ⁴⁴+ζ⁵²	0	0	0
χ₂₂	2	-2	2	0	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₃	2	-2	2	0	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₂₄	4	-4	4	0	-4	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	-2	0	2	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	-2	0	2	2ζ⁴−2ζ⁴⁴+2ζ⁵²	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-2	0	2	−2ζ⁴−2ζ⁶⁸	2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸	2ζ⁴−2ζ⁴⁴+2ζ⁵²	2ζ⁴+2ζ⁶⁸	−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸	−2ζ⁴+2ζ⁴⁴−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #3675