Group #13136657 — 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
size	1	1	2	2	2	2	2	4	4	4	12	12	12	12	12	12	12	12	12	12	18	18	18	18	24	24	24	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	72	72	72	72	72	72	72	72	144	144
order	1	2	3	4	6	8	8	12	24	24	3	3	6	6	12	12	24	24	24	24	2	4	6	6	12	24	24	8	12	16	16	16	16	24	24	48	48	48	48	48	48	48	48	2	4	4	4	12	12	12	12	6	12
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
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
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
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
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	-1	$i$	$i$	$- i$	$- i$	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	1	-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	-1	$i$	$i$	$- i$	$- i$	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	$- i$	$i$	$- i$	$- i$	$i$	$i$	-1	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	-1	$- i$	$- i$	$i$	$i$	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	1	-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	-1	$- i$	$- i$	$i$	$i$	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	$i$	$- i$	$i$	$i$	$- i$	$- i$	-1	1
χ₉	2	2	2	2	2	2	2	2	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	-2	-2	0	0	0	0	0	0	0	0	0	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	2	2	2	2	-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
χ₁₁	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	2	-2	2	2	-2	0	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	2	-2	2	2	-2	0	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	-2	2	-2	-2	-2	0	0	0	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	-2	0	0	2	2	2	2	-2	-2	0	0	0	0	-2	2	-2	-2	-2	0	0	0	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₅	4	4	4	4	4	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	0	0	0	0	-2	-2	-2	0	0	2	2	2	2	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	4	4	4	4	4	4	4	4	1	-2	1	-2	1	1	1	1	1	1	0	0	0	0	-2	-2	-2	0	0	-2	-2	-2	-2	0	0	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	4	4	4	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-1	-1
χ₁₈	4	4	4	4	4	4	4	4	4	4	-2	1	-2	1	-2	-2	-2	-2	-2	-2	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	1	1
χ₁₉	4	4	4	4	4	-4	-4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	-2	2	2	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	-4	-4	4	-4	-4	1	-2	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	-2	2	2	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	-4	-4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	-1	1
χ₂₂	4	4	4	4	4	-4	-4	4	-4	-4	-2	1	-2	1	-2	-2	2	2	2	2	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	1	-1
χ₂₃	4	4	4	-4	4	0	0	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$3 i$	$- 3 i$	$- 3 i$	0	0	0	0	2	0	0	0	0	2ζ¹⁴+2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	−2ζ¹⁰−2ζ²⁶	2ζ¹⁰+2ζ²⁶	0	0	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	-4	4	0	0	-4	0	0	1	-2	1	-2	-1	-1	$3 i$	$3 i$	$- 3 i$	$- 3 i$	0	0	0	0	2	0	0	0	0	−2ζ¹⁴−2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	2ζ¹⁰+2ζ²⁶	−2ζ¹⁰−2ζ²⁶	0	0	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	-4	4	0	0	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$- 3 i$	$3 i$	$3 i$	0	0	0	0	2	0	0	0	0	−2ζ¹⁰−2ζ²⁶	2ζ¹⁰+2ζ²⁶	2ζ¹⁴+2ζ⁴⁶	−2ζ¹⁴−2ζ⁴⁶	0	0	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	-4	4	0	0	-4	0	0	1	-2	1	-2	-1	-1	$- 3 i$	$- 3 i$	$3 i$	$3 i$	0	0	0	0	2	0	0	0	0	2ζ¹⁰+2ζ²⁶	−2ζ¹⁰−2ζ²⁶	−2ζ¹⁴−2ζ⁴⁶	2ζ¹⁴+2ζ⁴⁶	0	0	−ζ¹⁰−ζ²⁶	−ζ¹⁰−ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁰+ζ²⁶	ζ¹⁴+ζ⁴⁶	ζ¹⁴+ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	−ζ¹⁴−ζ⁴⁶	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	−ζ³¹+ζ⁴⁷	ζ³¹−ζ⁴⁷	−ζ¹¹+ζ⁴³	ζ¹¹−ζ⁴³	−ζ²⁵+ζ⁴¹	ζ²⁵−ζ⁴¹	ζ¹³−ζ²⁹	−ζ¹³+ζ²⁹	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	ζ³¹−ζ⁴⁷	−ζ³¹+ζ⁴⁷	ζ¹¹−ζ⁴³	−ζ¹¹+ζ⁴³	ζ²⁵−ζ⁴¹	−ζ²⁵+ζ⁴¹	−ζ¹³+ζ²⁹	ζ¹³−ζ²⁹	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	ζ¹³−ζ²⁹	−ζ¹³+ζ²⁹	ζ²⁵−ζ⁴¹	−ζ²⁵+ζ⁴¹	−ζ¹¹+ζ⁴³	ζ¹¹−ζ⁴³	ζ³¹−ζ⁴⁷	−ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	−ζ¹³+ζ²⁹	ζ¹³−ζ²⁹	−ζ²⁵+ζ⁴¹	ζ²⁵−ζ⁴¹	ζ¹¹−ζ⁴³	−ζ¹¹+ζ⁴³	−ζ³¹+ζ⁴⁷	ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	4	4	-4	-4	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	−ζ¹¹+ζ⁴³	ζ¹¹−ζ⁴³	ζ³¹−ζ⁴⁷	−ζ³¹+ζ⁴⁷	ζ¹³−ζ²⁹	−ζ¹³+ζ²⁹	ζ²⁵−ζ⁴¹	−ζ²⁵+ζ⁴¹	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$3 i$	$- 3 i$	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	ζ¹¹−ζ⁴³	−ζ¹¹+ζ⁴³	−ζ³¹+ζ⁴⁷	ζ³¹−ζ⁴⁷	−ζ¹³+ζ²⁹	ζ¹³−ζ²⁹	−ζ²⁵+ζ⁴¹	ζ²⁵−ζ⁴¹	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	−ζ²⁵+ζ⁴¹	ζ²⁵−ζ⁴¹	ζ¹³−ζ²⁹	−ζ¹³+ζ²⁹	−ζ³¹+ζ⁴⁷	ζ³¹−ζ⁴⁷	−ζ¹¹+ζ⁴³	ζ¹¹−ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	1	-2	-1	2	$- 3 i$	$3 i$	−2ζ¹⁰+ζ¹⁴−2ζ²⁶+ζ⁴⁶	2ζ¹⁰−ζ¹⁴+2ζ²⁶−ζ⁴⁶	−ζ¹⁰+2ζ¹⁴−ζ²⁶+2ζ⁴⁶	ζ¹⁰−2ζ¹⁴+ζ²⁶−2ζ⁴⁶	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	ζ²⁵−ζ⁴¹	−ζ²⁵+ζ⁴¹	−ζ¹³+ζ²⁹	ζ¹³−ζ²⁹	ζ³¹−ζ⁴⁷	−ζ³¹+ζ⁴⁷	ζ¹¹−ζ⁴³	−ζ¹¹+ζ⁴³	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	4	4	-4	-4	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	6	-3	6	6	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	0	2	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₃₈	6	6	-3	6	-3	6	6	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	0	2	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₃₉	6	6	-3	6	-3	6	6	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	0	-2	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	-1	0	0
χ₄₀	6	6	-3	6	-3	6	6	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	0	-2	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	1	1	0	0
χ₄₁	6	6	-3	6	-3	-6	-6	-3	3	3	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	0	-2	-1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0
χ₄₂	6	6	-3	6	-3	-6	-6	-3	3	3	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0	0	-2	-1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0
χ₄₃	6	6	-3	6	-3	-6	-6	-3	3	3	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	0	2	1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₄₄	6	6	-3	6	-3	-6	-6	-3	3	3	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0	0	2	1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₄₅	8	8	8	-8	8	0	0	-8	0	0	-4	2	-4	2	4	4	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	8	0	-8	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	0	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-4	2	4	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	8	0	-8	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	0	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-4	2	4	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	12	-6	-12	-6	0	0	6	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	-2	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	12	-6	-12	-6	0	0	6	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	2	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	12	-12	-6	0	6	$- 6 i \sqrt{2}$	$6 i \sqrt{2}$	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	12	-12	-6	0	6	$- 6 i \sqrt{2}$	$6 i \sqrt{2}$	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	-12	-6	0	6	$6 i \sqrt{2}$	$- 6 i \sqrt{2}$	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	12	-12	-6	0	6	$6 i \sqrt{2}$	$- 6 i \sqrt{2}$	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13136657