Group #13024835 — 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	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄
size	1	1	2	2	2	4	4	4	4	4	4	8	8	8	8	8	8	10	10	10	10	16	16	16	16	16	20	20	40	40	40	40	40	40	40	40	80	1	1	2	2	2	4	4	4	4	4	4	8	8	8	8	8	8	10	10	10	10	16	16	16	16	16	20	20	40	40	40	40	40	40	40	40	80
order	1	2	2	4	4	4	4	5	10	10	10	20	20	20	20	20	20	8	8	8	8	4	20	20	20	20	8	8	16	16	16	16	16	16	16	16	2	2	2	2	4	4	4	4	10	10	10	10	20	20	20	20	20	20	8	8	8	8	4	20	20	20	20	8	8	16	16	16	16	16	16	16	16	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	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	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	1	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	1	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1
χ₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1
χ₉	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	2	-2	0	0	0	0	0	0	0	0	0	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	2	-2	0	0	0	0	0	0	0	0	0
χ₁₀	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	-2	2	0	0	0	0	0	0	0	0	0	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	-2	2	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₂	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₃	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₁₄	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₁₅	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₁₆	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₁₇	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₈	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₉	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	-4	-4	0	0	4	4	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	0	0	4	4	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	8	8	-8	8	-8	0	0	-2	2	2	-2	0	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	8	8	-8	8	-8	0	0	-2	2	2	-2	0	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
χ₃₃	8	8	-8	-8	8	0	0	-2	2	2	-2	0	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	8	8	-8	-8	8	0	0	-2	2	2	-2	0	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
χ₃₄	8	-8	0	0	0	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	0	0	0	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	0	0	0	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	0	0	0	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1
χ₄₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1
χ₄₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1
χ₄₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1
χ₄₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1
χ₄₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1
χ₄₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1
χ₄₆	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	2	-2	0	0	0	0	0	0	0	0	0	-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	-2	2	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	-2	2	2	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-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	2	-2	0	0	0	0	0	0	0	0	0
χ₄₈	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-2	-2	2	-2	2	0	0	-2	2	2	-2	0	0	0	0	-2	2	0	0	-2	-2	0	0	0	0	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₄₉	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	2	2	0	0	0	0	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-2	-2	2	-2	2	0	0	-2	2	2	-2	0	0	0	0	-2	2	0	0	-2	-2	0	0	0	0	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₅₀	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	-2	-2	2	-2	2	0	0	-2	2	2	-2	0	0	0	0	-2	2	0	0	2	2	0	0	0	0	0	0	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₅₁	2	2	-2	2	-2	0	0	2	-2	-2	2	0	0	0	0	2	-2	0	0	-2	-2	0	0	0	0	0	0	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	-2	-2	2	-2	2	0	0	-2	2	2	-2	0	0	0	0	-2	2	0	0	2	2	0	0	0	0	0	0	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₅₂	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	-2	-2	2	2	-2	0	0	-2	2	2	-2	0	0	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₅₃	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	-2	-2	2	2	-2	0	0	-2	2	2	-2	0	0	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₅₄	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	-2	2	2	-2	0	0	-2	2	2	-2	0	0	0	0	2	-2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₅₅	2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	-2	2	2	-2	0	0	-2	2	2	-2	0	0	0	0	2	-2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₅₆	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	4	4	1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	4	4	4	4	-4	-4	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	4	4	1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	4	4	-4	-4	0	0	4	4	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	0	0	-4	-4	-4	-4	0	0	0	0	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	0	0	1	1	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	-1	-1	0	0	0	0	0	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	0	0	1	1	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	-1	-1	0	0	0	0	0	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	0	0	1	1	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	-1	-1	0	0	0	0	0	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	4	4	-4	-4	0	0	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	4	4	0	0	1	1	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	-1	-1	0	0	0	0	0	−ζ⁴−ζ¹²+ζ²⁸+ζ³⁶	ζ⁴+ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ¹²+ζ²⁸−ζ³⁶	−ζ⁴+ζ¹²−ζ²⁸+ζ³⁶	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	-2	2	-4	0	0	4	-2	2	-2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	0	0	0	2	-2	4	0	0	-4	2	-2	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	-2	2	-4	0	0	4	-2	2	-2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	2	-2	-4	0	0	4	2	-2	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	0	0	0	-2	2	4	0	0	-4	-2	2	-2	2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	2	-2	-4	0	0	4	2	-2	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	8	8	-8	8	-8	0	0	-2	2	2	-2	0	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	-8	-8	8	-8	8	0	0	2	-2	-2	2	0	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
χ₇₀	8	8	-8	-8	8	0	0	-2	2	2	-2	0	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	-8	-8	8	8	-8	0	0	2	-2	-2	2	0	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
χ₇₁	8	-8	0	0	0	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	-4	4	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	-8	0	0	0	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	-4	4	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	8	-8	0	0	0	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	4	-4	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	8	-8	0	0	0	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	4	-4	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	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 #13024835