Group #13132905 — 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
size	1	21	28	42	42	42	48	56	56	1	21	28	42	42	42	48	56	56	1	21	28	42	42	42	48	56	56	1	21	28	42	42	42	48	56	56	1	21	28	42	42	42	48	56	56
order	1	2	2	4	8	8	7	3	6	5	10	10	20	40	40	35	15	30	5	10	10	20	40	40	35	15	30	5	10	10	20	40	40	35	15	30	5	10	10	20	40	40	35	15	30
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
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
χ₃	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0
χ₄	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0
χ₅	6	-2	0	2	0	0	-1	0	0	6	-2	0	2	0	0	-1	0	0	6	-2	0	2	0	0	-1	0	0	6	-2	0	2	0	0	-1	0	0	6	-2	0	2	0	0	-1	0	0
χ₆	7	-1	1	-1	-1	-1	0	1	1	7	-1	1	-1	-1	-1	0	1	1	7	-1	1	-1	-1	-1	0	1	1	7	-1	1	-1	-1	-1	0	1	1	7	-1	1	-1	-1	-1	0	1	1
χ₇	7	-1	-1	-1	1	1	0	1	-1	7	-1	-1	-1	1	1	0	1	-1	7	-1	-1	-1	1	1	0	1	-1	7	-1	-1	-1	1	1	0	1	-1	7	-1	-1	-1	1	1	0	1	-1
χ₈	8	0	2	0	0	0	1	-1	-1	8	0	2	0	0	0	1	-1	-1	8	0	2	0	0	0	1	-1	-1	8	0	2	0	0	0	1	-1	-1	8	0	2	0	0	0	1	-1	-1
χ₉	8	0	-2	0	0	0	1	-1	1	8	0	-2	0	0	0	1	-1	1	8	0	-2	0	0	0	1	-1	1	8	0	-2	0	0	0	1	-1	1	8	0	-2	0	0	0	1	-1	1
χ₁₀	1	1	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₁	1	1	-1	1	-1	-1	1	1	-1	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²
χ₁₂	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	−6ζ²⁸	−2ζ²⁸	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ²⁸	0	0	−6ζ³⁶	−2ζ³⁶	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ³⁶	0	0	−6ζ⁴	−2ζ⁴	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ⁴	0	0	−6ζ¹²	−2ζ¹²	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ¹²	0	0
χ₁₃	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	−6ζ²⁸	−2ζ²⁸	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ²⁸	0	0	−6ζ³⁶	−2ζ³⁶	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ³⁶	0	0	−6ζ⁴	−2ζ⁴	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ⁴	0	0	−6ζ¹²	−2ζ¹²	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ¹²	0	0
χ₁₄	6	-2	0	2	0	0	-1	0	0	−6ζ²⁸	2ζ²⁸	0	−2ζ²⁸	0	0	ζ²⁸	0	0	−6ζ³⁶	2ζ³⁶	0	−2ζ³⁶	0	0	ζ³⁶	0	0	−6ζ⁴	2ζ⁴	0	−2ζ⁴	0	0	ζ⁴	0	0	−6ζ¹²	2ζ¹²	0	−2ζ¹²	0	0	ζ¹²	0	0
χ₁₅	7	-1	1	-1	-1	-1	0	1	1	−7ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−7ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−7ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−7ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²
χ₁₆	7	-1	-1	-1	1	1	0	1	-1	−7ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	−7ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	−7ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	−7ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²
χ₁₇	8	0	2	0	0	0	1	-1	-1	−8ζ²⁸	0	−2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	ζ²⁸	−8ζ³⁶	0	−2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	ζ³⁶	−8ζ⁴	0	−2ζ⁴	0	0	0	−ζ⁴	ζ⁴	ζ⁴	−8ζ¹²	0	−2ζ¹²	0	0	0	−ζ¹²	ζ¹²	ζ¹²
χ₁₈	8	0	-2	0	0	0	1	-1	1	−8ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	−ζ²⁸	−8ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	−ζ³⁶	−8ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	ζ⁴	−ζ⁴	−8ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	ζ¹²	−ζ¹²
χ₁₉	1	1	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₂₀	1	1	-1	1	-1	-1	1	1	-1	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴
χ₂₁	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	−6ζ³⁶	−2ζ³⁶	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ³⁶	0	0	−6ζ¹²	−2ζ¹²	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ¹²	0	0	−6ζ²⁸	−2ζ²⁸	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ²⁸	0	0	−6ζ⁴	−2ζ⁴	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ⁴	0	0
χ₂₂	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	−6ζ³⁶	−2ζ³⁶	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ³⁶	0	0	−6ζ¹²	−2ζ¹²	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ¹²	0	0	−6ζ²⁸	−2ζ²⁸	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ²⁸	0	0	−6ζ⁴	−2ζ⁴	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ⁴	0	0
χ₂₃	6	-2	0	2	0	0	-1	0	0	−6ζ³⁶	2ζ³⁶	0	−2ζ³⁶	0	0	ζ³⁶	0	0	−6ζ¹²	2ζ¹²	0	−2ζ¹²	0	0	ζ¹²	0	0	−6ζ²⁸	2ζ²⁸	0	−2ζ²⁸	0	0	ζ²⁸	0	0	−6ζ⁴	2ζ⁴	0	−2ζ⁴	0	0	ζ⁴	0	0
χ₂₄	7	-1	1	-1	-1	-1	0	1	1	−7ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−7ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−7ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−7ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴
χ₂₅	7	-1	-1	-1	1	1	0	1	-1	−7ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	−7ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	−7ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	−7ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴
χ₂₆	8	0	2	0	0	0	1	-1	-1	−8ζ³⁶	0	−2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	ζ³⁶	−8ζ¹²	0	−2ζ¹²	0	0	0	−ζ¹²	ζ¹²	ζ¹²	−8ζ²⁸	0	−2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	ζ²⁸	−8ζ⁴	0	−2ζ⁴	0	0	0	−ζ⁴	ζ⁴	ζ⁴
χ₂₇	8	0	-2	0	0	0	1	-1	1	−8ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	−ζ³⁶	−8ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	ζ¹²	−ζ¹²	−8ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	−ζ²⁸	−8ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	ζ⁴	−ζ⁴
χ₂₈	1	1	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₂₉	1	1	-1	1	-1	-1	1	1	-1	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶
χ₃₀	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	−6ζ⁴	−2ζ⁴	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ⁴	0	0	−6ζ²⁸	−2ζ²⁸	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ²⁸	0	0	−6ζ¹²	−2ζ¹²	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ¹²	0	0	−6ζ³⁶	−2ζ³⁶	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ³⁶	0	0
χ₃₁	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	−6ζ⁴	−2ζ⁴	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ⁴	0	0	−6ζ²⁸	−2ζ²⁸	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ²⁸	0	0	−6ζ¹²	−2ζ¹²	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ¹²	0	0	−6ζ³⁶	−2ζ³⁶	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ³⁶	0	0
χ₃₂	6	-2	0	2	0	0	-1	0	0	−6ζ⁴	2ζ⁴	0	−2ζ⁴	0	0	ζ⁴	0	0	−6ζ²⁸	2ζ²⁸	0	−2ζ²⁸	0	0	ζ²⁸	0	0	−6ζ¹²	2ζ¹²	0	−2ζ¹²	0	0	ζ¹²	0	0	−6ζ³⁶	2ζ³⁶	0	−2ζ³⁶	0	0	ζ³⁶	0	0
χ₃₃	7	-1	1	-1	-1	-1	0	1	1	−7ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−7ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−7ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−7ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶
χ₃₄	7	-1	-1	-1	1	1	0	1	-1	−7ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	−7ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	−7ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	−7ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶
χ₃₅	8	0	2	0	0	0	1	-1	-1	−8ζ⁴	0	−2ζ⁴	0	0	0	−ζ⁴	ζ⁴	ζ⁴	−8ζ²⁸	0	−2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	ζ²⁸	−8ζ¹²	0	−2ζ¹²	0	0	0	−ζ¹²	ζ¹²	ζ¹²	−8ζ³⁶	0	−2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	ζ³⁶
χ₃₆	8	0	-2	0	0	0	1	-1	1	−8ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	ζ⁴	−ζ⁴	−8ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	−ζ²⁸	−8ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	ζ¹²	−ζ¹²	−8ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	−ζ³⁶
χ₃₇	1	1	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₃₈	1	1	-1	1	-1	-1	1	1	-1	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸
χ₃₉	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	−6ζ¹²	−2ζ¹²	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ¹²	0	0	−6ζ⁴	−2ζ⁴	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ⁴	0	0	−6ζ³⁶	−2ζ³⁶	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ³⁶	0	0	−6ζ²⁸	−2ζ²⁸	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ²⁸	0	0
χ₄₀	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	−6ζ¹²	−2ζ¹²	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ¹²	0	0	−6ζ⁴	−2ζ⁴	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ⁴	0	0	−6ζ³⁶	−2ζ³⁶	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ³⁶	0	0	−6ζ²⁸	−2ζ²⁸	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ²⁸	0	0
χ₄₁	6	-2	0	2	0	0	-1	0	0	−6ζ¹²	2ζ¹²	0	−2ζ¹²	0	0	ζ¹²	0	0	−6ζ⁴	2ζ⁴	0	−2ζ⁴	0	0	ζ⁴	0	0	−6ζ³⁶	2ζ³⁶	0	−2ζ³⁶	0	0	ζ³⁶	0	0	−6ζ²⁸	2ζ²⁸	0	−2ζ²⁸	0	0	ζ²⁸	0	0
χ₄₂	7	-1	1	-1	-1	-1	0	1	1	−7ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−7ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−7ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−7ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸
χ₄₃	7	-1	-1	-1	1	1	0	1	-1	−7ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	−7ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	−7ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	−7ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸
χ₄₄	8	0	2	0	0	0	1	-1	-1	−8ζ¹²	0	−2ζ¹²	0	0	0	−ζ¹²	ζ¹²	ζ¹²	−8ζ⁴	0	−2ζ⁴	0	0	0	−ζ⁴	ζ⁴	ζ⁴	−8ζ³⁶	0	−2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	ζ³⁶	−8ζ²⁸	0	−2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	ζ²⁸
χ₄₅	8	0	-2	0	0	0	1	-1	1	−8ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	ζ¹²	−ζ¹²	−8ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	ζ⁴	−ζ⁴	−8ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	ζ³⁶	−ζ³⁶	−8ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	ζ²⁸	−ζ²⁸

Character table — Group #13132905