Group #11799125 — 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	1	2	2	2	4	4	4	4	8	8	8	8	8	8	8	18	18	18	18	24	24	24	24	24	24	24	24	24	24	24	24	32	32	36	36	36	36	48	48	72	72	72	96	96
order	1	2	4	8	8	3	3	6	6	4	12	12	24	24	24	24	2	4	8	8	16	16	16	16	48	48	48	48	48	48	48	48	12	12	4	4	8	8	2	2	2	8	8	6	6
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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	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
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	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-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	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	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	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	-1	1	1	-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	1	1	1	-1	-1	-1	-1	1	-1	1	-1	-1	1	1	1	-1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	-2	0	0	0	-2	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	-2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	-2	0	0	0	2	0	0	0	0
χ₁₁	2	2	2	-2	-2	2	2	2	2	0	2	2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	-2	2	2	2	2	0	2	2	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0
χ₁₃	2	2	2	-2	-2	2	2	2	2	0	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	$2 i$	$- 2 i$	0	0
χ₁₄	2	2	2	-2	-2	2	2	2	2	0	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	$- 2 i$	$2 i$	0	0
χ₁₅	2	2	-2	0	0	2	2	2	2	0	-2	-2	0	0	0	0	-2	2	2	2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-2	0	0	0	0	0	0	0
χ₁₆	2	2	-2	0	0	2	2	2	2	0	-2	-2	0	0	0	0	-2	2	2	2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-2	0	0	0	0	0	0	0
χ₁₇	2	2	-2	0	0	2	2	2	2	0	-2	-2	0	0	0	0	-2	2	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	0	0	0	0	0	0	0
χ₁₈	2	2	-2	0	0	2	2	2	2	0	-2	-2	0	0	0	0	-2	2	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	0	0	0	0	0	0	0
χ₁₉	4	4	4	4	4	1	-2	1	-2	4	1	-2	1	1	-2	-2	0	0	0	0	0	0	2	2	0	0	0	0	-1	-1	-1	-1	1	-2	0	0	0	0	0	2	0	0	0	0	-1
χ₂₀	4	4	4	4	4	1	-2	1	-2	4	1	-2	1	1	-2	-2	0	0	0	0	0	0	-2	-2	0	0	0	0	1	1	1	1	1	-2	0	0	0	0	0	-2	0	0	0	0	1
χ₂₁	4	4	4	4	4	1	-2	1	-2	-4	1	-2	1	1	-2	-2	0	0	0	0	0	0	2	2	0	0	0	0	-1	-1	-1	-1	-1	2	0	0	0	0	0	-2	0	0	0	0	1
χ₂₂	4	4	4	4	4	1	-2	1	-2	-4	1	-2	1	1	-2	-2	0	0	0	0	0	0	-2	-2	0	0	0	0	1	1	1	1	-1	2	0	0	0	0	0	2	0	0	0	0	-1
χ₂₃	4	4	4	4	4	-2	1	-2	1	4	-2	1	-2	-2	1	1	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	-2	1	0	0	0	0	2	0	0	0	0	-1	0
χ₂₄	4	4	4	4	4	-2	1	-2	1	4	-2	1	-2	-2	1	1	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	-2	1	0	0	0	0	-2	0	0	0	0	1	0
χ₂₅	4	4	4	4	4	-2	1	-2	1	-4	-2	1	-2	-2	1	1	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	2	-1	0	0	0	0	-2	0	0	0	0	1	0
χ₂₆	4	4	4	4	4	-2	1	-2	1	-4	-2	1	-2	-2	1	1	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	2	-1	0	0	0	0	2	0	0	0	0	-1	0
χ₂₇	4	4	-4	0	0	4	4	4	4	0	-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	0	0	0	0	0	0	0
χ₂₈	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	4	-4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	4	-4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	4	-4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	4	-4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0
χ₃₂	8	8	8	-8	-8	2	-4	2	-4	0	2	-4	-2	-2	4	4	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	0
χ₃₃	8	8	8	-8	-8	-4	2	-4	2	0	-4	2	4	4	-2	-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	0
χ₃₄	8	8	-8	0	0	2	-4	2	-4	0	-2	4	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-8	0	0	2	-4	2	-4	0	-2	4	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	8	-8	0	0	-4	2	-4	2	0	4	-2	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	-8	0	0	-4	2	-4	2	0	4	-2	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	-4	-2	4	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	-4	-2	4	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-4	2	4	-2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-4	2	4	-2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	-4	-2	4	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	-4	-2	4	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-4	2	4	-2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-4	2	4	-2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11799125