Group #697 — 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
size	1	1	2	2	2	4	4	1	1	2	2	2	4	4	1	1	2	2	2	4	4	1	1	2	2	2	4	4	1	1	2	2	2	4	4
order	1	2	4	8	8	2	4	5	10	20	40	40	10	20	5	10	20	40	40	10	20	5	10	20	40	40	10	20	5	10	20	40	40	10	20
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
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
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
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
χ₅	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0
χ₆	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₇	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₈	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₉	1	1	1	1	1	-1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²
χ₁₀	1	1	1	-1	-1	1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²
χ₁₁	1	1	1	-1	-1	-1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²
χ₁₂	2	2	-2	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0
χ₁₃	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ²⁸	2ζ²⁸	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ³⁶	2ζ³⁶	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ⁴	2ζ⁴	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ¹²	2ζ¹²	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0
χ₁₄	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ²⁸	2ζ²⁸	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ⁴	2ζ⁴	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0
χ₁₅	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₁₆	1	1	1	1	1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴
χ₁₇	1	1	1	-1	-1	1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴
χ₁₈	1	1	1	-1	-1	-1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴
χ₁₉	2	2	-2	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0
χ₂₀	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ³⁶	2ζ³⁶	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ¹²	2ζ¹²	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ²⁸	2ζ²⁸	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ⁴	2ζ⁴	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0
χ₂₁	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ²⁸	2ζ²⁸	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ⁴	2ζ⁴	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0
χ₂₂	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₂₃	1	1	1	1	1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶
χ₂₄	1	1	1	-1	-1	1	-1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶
χ₂₅	1	1	1	-1	-1	-1	1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶
χ₂₆	2	2	-2	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0
χ₂₇	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ⁴	2ζ⁴	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ²⁸	2ζ²⁸	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ¹²	2ζ¹²	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ³⁶	2ζ³⁶	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0
χ₂₈	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ⁴	2ζ⁴	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ²⁸	2ζ²⁸	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0
χ₂₉	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₃₀	1	1	1	1	1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸
χ₃₁	1	1	1	-1	-1	1	-1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸
χ₃₂	1	1	1	-1	-1	-1	1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸
χ₃₃	2	2	-2	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	0
χ₃₄	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ¹²	2ζ¹²	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ⁴	2ζ⁴	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ³⁶	2ζ³⁶	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ²⁸	2ζ²⁸	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0
χ₃₅	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ⁴	2ζ⁴	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ²⁸	2ζ²⁸	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0

Character table — Group #697