Group #14511588 — 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
size	1	1	3	3	4	4	12	12	20	20	24	24	24	24	24	32	32	60	60	64	64	64	64	120	120	120	120	120	120	120	120	160	160
order	1	2	2	2	5	10	10	10	4	4	4	20	20	20	20	3	6	4	4	15	15	30	30	8	8	8	8	8	8	8	8	12	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
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
χ₃	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
χ₄	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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1
χ₆	2	2	2	2	2	2	2	2	-2	-2	2	2	2	2	2	-1	-1	-2	-2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1
χ₇	2	-2	-2	2	2	-2	2	-2	$2 i$	$- 2 i$	0	0	0	0	0	-1	1	0	0	-1	-1	1	1	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	$i$	$- i$
χ₈	2	-2	-2	2	2	-2	2	-2	$2 i$	$- 2 i$	0	0	0	0	0	-1	1	0	0	-1	-1	1	1	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	$i$	$- i$
χ₉	2	-2	-2	2	2	-2	2	-2	$- 2 i$	$2 i$	0	0	0	0	0	-1	1	0	0	-1	-1	1	1	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	$- i$	$i$
χ₁₀	2	-2	-2	2	2	-2	2	-2	$- 2 i$	$2 i$	0	0	0	0	0	-1	1	0	0	-1	-1	1	1	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	$- i$	$i$
χ₁₁	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1	0	0
χ₁₂	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	-1	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0
χ₁₃	3	3	3	3	3	3	3	3	-3	-3	-1	-1	-1	-1	-1	0	0	1	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0
χ₁₄	3	3	3	3	3	3	3	3	-3	-3	-1	-1	-1	-1	-1	0	0	1	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0
χ₁₅	4	4	4	4	-1	-1	-1	-1	0	0	4	-1	-1	-1	-1	4	4	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	4	4	-1	-1	-1	-1	0	0	4	-1	-1	-1	-1	-2	-2	0	0	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	4	4	-1	-1	-1	-1	0	0	4	-1	-1	-1	-1	-2	-2	0	0	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	-4	-4	4	4	-4	4	-4	$4 i$	$- 4 i$	0	0	0	0	0	1	-1	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	$- i$	$i$
χ₁₉	4	-4	-4	4	4	-4	4	-4	$- 4 i$	$4 i$	0	0	0	0	0	1	-1	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	$i$	$- i$
χ₂₀	6	-6	2	-2	6	-6	-2	2	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₁	6	-6	2	-2	6	-6	-2	2	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₂	6	-6	2	-2	6	-6	-2	2	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₂₃	6	-6	2	-2	6	-6	-2	2	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₂₄	8	-8	-8	8	-2	2	-2	2	0	0	0	0	0	0	0	2	-2	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	-8	-8	8	-2	2	-2	2	0	0	0	0	0	0	0	2	-2	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	-8	-8	8	-2	2	-2	2	0	0	0	0	0	0	0	-4	4	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₇	12	12	12	12	-3	-3	-3	-3	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	12	12	-4	-4	12	12	-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
χ₂₉	12	12	-4	-4	-3	-3	1	1	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴+3ζ⁵²−ζ⁶⁸−ζ⁷⁶+3ζ⁹²−ζ¹¹⁶	3ζ⁴−ζ²⁸+3ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+3ζ²⁸−ζ⁴⁴−ζ⁵²+3ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+3ζ⁷⁶−ζ⁹²+3ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	12	12	-4	-4	-3	-3	1	1	0	0	0	3ζ⁴−ζ²⁸+3ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+3ζ²⁸−ζ⁴⁴−ζ⁵²+3ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+3ζ⁷⁶−ζ⁹²+3ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+3ζ⁵²−ζ⁶⁸−ζ⁷⁶+3ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	12	12	-4	-4	-3	-3	1	1	0	0	0	−ζ⁴+3ζ²⁸−ζ⁴⁴−ζ⁵²+3ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+3ζ⁷⁶−ζ⁹²+3ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+3ζ⁵²−ζ⁶⁸−ζ⁷⁶+3ζ⁹²−ζ¹¹⁶	3ζ⁴−ζ²⁸+3ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	12	12	-4	-4	-3	-3	1	1	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+3ζ⁷⁶−ζ⁹²+3ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+3ζ⁵²−ζ⁶⁸−ζ⁷⁶+3ζ⁹²−ζ¹¹⁶	3ζ⁴−ζ²⁸+3ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+3ζ²⁸−ζ⁴⁴−ζ⁵²+3ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	24	-24	8	-8	-6	6	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

Character table — Group #14511588