Group #1152 — 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
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	1	1	2	2	2	4	4	1	1	2	2	2	4	4
order	1	2	4	8	8	2	4	7	14	28	56	56	14	28	7	14	28	56	56	14	28	7	14	28	56	56	14	28	7	14	28	56	56	14	28	7	14	28	56	56	14	28	7	14	28	56	56	14	28
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
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
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
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
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	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	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	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	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰
χ₉	1	1	1	1	1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰
χ₁₀	1	1	1	-1	-1	1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰
χ₁₁	1	1	1	-1	-1	-1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰
χ₁₂	2	2	-2	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0
χ₁₃	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0
χ₁₄	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0
χ₁₅	1	1	1	1	1	1	1	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₆	1	1	1	1	1	-1	-1	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²
χ₁₇	1	1	1	-1	-1	1	-1	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²
χ₁₈	1	1	1	-1	-1	-1	1	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²
χ₁₉	2	2	-2	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0
χ₂₀	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0
χ₂₁	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0
χ₂₂	1	1	1	1	1	1	1	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₂₃	1	1	1	1	1	-1	-1	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴
χ₂₄	1	1	1	-1	-1	1	-1	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴
χ₂₅	1	1	1	-1	-1	-1	1	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴
χ₂₆	2	2	-2	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0
χ₂₇	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0
χ₂₈	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0
χ₂₉	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²
χ₃₀	1	1	1	1	1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²
χ₃₁	1	1	1	-1	-1	1	-1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²
χ₃₂	1	1	1	-1	-1	-1	1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²
χ₃₃	2	2	-2	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0
χ₃₄	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0
χ₃₅	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0
χ₃₆	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴
χ₃₇	1	1	1	1	1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴
χ₃₈	1	1	1	-1	-1	1	-1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴
χ₃₉	1	1	1	-1	-1	-1	1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴
χ₄₀	2	2	-2	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0
χ₄₁	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0
χ₄₂	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0
χ₄₃	1	1	1	1	1	1	1	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₄₄	1	1	1	1	1	-1	-1	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶
χ₄₅	1	1	1	-1	-1	1	-1	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	ζ²⁰	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	ζ⁵²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶
χ₄₆	1	1	1	-1	-1	-1	1	−ζ²⁰	−ζ²⁰	−ζ²⁰	ζ²⁰	ζ²⁰	ζ²⁰	−ζ²⁰	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁵²	−ζ⁵²	−ζ⁵²	ζ⁵²	ζ⁵²	ζ⁵²	−ζ⁵²	−ζ⁴⁴	−ζ⁴⁴	−ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	ζ⁴⁴	−ζ⁴⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶
χ₄₇	2	2	-2	0	0	0	0	−2ζ²⁰	−2ζ²⁰	2ζ²⁰	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	0	−2ζ⁵²	−2ζ⁵²	2ζ⁵²	0	0	0	0	−2ζ⁴⁴	−2ζ⁴⁴	2ζ⁴⁴	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	0
χ₄₈	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ²⁰	2ζ²⁰	0	ζ¹³+ζ⁵⁵	−ζ¹³−ζ⁵⁵	0	0	−2ζ¹²	2ζ¹²	0	ζ⁵+ζ⁴⁷	−ζ⁵−ζ⁴⁷	0	0	−2ζ⁴	2ζ⁴	0	ζ³⁹+ζ⁵³	−ζ³⁹−ζ⁵³	0	0	−2ζ⁵²	2ζ⁵²	0	ζ³¹+ζ⁴⁵	−ζ³¹−ζ⁴⁵	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	ζ²³+ζ³⁷	−ζ²³−ζ³⁷	0	0	−2ζ³⁶	2ζ³⁶	0	ζ¹⁵+ζ²⁹	−ζ¹⁵−ζ²⁹	0	0
χ₄₉	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ²⁰	2ζ²⁰	0	−ζ¹³−ζ⁵⁵	ζ¹³+ζ⁵⁵	0	0	−2ζ¹²	2ζ¹²	0	−ζ⁵−ζ⁴⁷	ζ⁵+ζ⁴⁷	0	0	−2ζ⁴	2ζ⁴	0	−ζ³⁹−ζ⁵³	ζ³⁹+ζ⁵³	0	0	−2ζ⁵²	2ζ⁵²	0	−ζ³¹−ζ⁴⁵	ζ³¹+ζ⁴⁵	0	0	−2ζ⁴⁴	2ζ⁴⁴	0	−ζ²³−ζ³⁷	ζ²³+ζ³⁷	0	0	−2ζ³⁶	2ζ³⁶	0	−ζ¹⁵−ζ²⁹	ζ¹⁵+ζ²⁹	0	0

Character table — Group #1152