Group #11751958 — 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
size	1	1	2	2	2	4	4	4	4	5	5	8	8	8	8	10	10	10	12	12	16	16	16	16	20	20	20	20	20	20	20	20	20	20	24	24	30	30	30	30	40	40	40	48	60	60	60	60
order	1	2	3	4	6	2	5	10	12	4	4	6	15	20	30	2	12	12	4	8	10	30	30	60	4	4	4	6	8	8	12	12	12	12	40	40	8	8	8	8	12	24	24	20	2	8	8	8
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
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
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
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
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	$i$	$- i$	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	1	1	$i$	$i$	$- i$	$- i$	-1	$i$	$- i$	1	-1	-1	$i$	$- i$
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	$- i$	$i$	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	1	1	$- i$	$- i$	$i$	$i$	-1	$- i$	$i$	1	-1	-1	$- i$	$i$
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	$i$	$- i$	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	$- i$	$- i$	$i$	$i$	-1	$i$	$- i$	-1	1	1	$- i$	$i$
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	$- i$	$i$	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	$i$	$i$	$- i$	$- i$	-1	$- i$	$i$	-1	1	1	$i$	$- i$
χ₉	1	1	1	1	1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	1
χ₁₀	1	1	1	1	1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	-1
χ₁₁	1	1	1	1	1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	1	-1	-1	-1	1	-1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1
χ₁₂	1	1	1	1	1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1
χ₁₃	1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	$- i$	$i$	$i$	$i$	$- i$	$- i$	-1	-1	$- i$	$- i$	$i$	$i$	1	$- i$	$i$	1	-1	1	$i$	$- i$
χ₁₄	1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	$i$	$- i$	$- i$	$- i$	$i$	$i$	-1	-1	$i$	$i$	$- i$	$- i$	1	$i$	$- i$	1	-1	1	$- i$	$i$
χ₁₅	1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	-1	-1	-1	1	1	$i$	$- i$	-1	$- i$	$i$	$i$	$i$	$- i$	$- i$	1	1	$i$	$i$	$- i$	$- i$	1	$- i$	$i$	-1	1	-1	$- i$	$i$
χ₁₆	1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	-1	-1	-1	1	1	$- i$	$i$	-1	$i$	$- i$	$- i$	$- i$	$i$	$i$	1	1	$- i$	$- i$	$i$	$i$	1	$i$	$- i$	-1	1	-1	$i$	$- i$
χ₁₇	2	2	2	-2	2	0	2	2	-2	2	2	0	2	-2	2	-2	2	2	0	0	0	0	0	-2	0	0	0	-2	0	0	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	-2	2	0	2	2	-2	2	2	0	2	-2	2	-2	2	2	0	0	0	0	0	-2	0	0	0	-2	0	0	0	0	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	-2	2	0	2	2	-2	-2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-2	0	0	0	2	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	-2	2	0	2	2	-2	-2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-2	0	0	0	2	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	2	2	2	-1	2	2	-1	-1	2	-1	2	-1	-1	0	0	2	-1	-1	-1	2	2	2	-1	2	2	-1	-1	-1	-1	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	2	2	2	-1	2	2	-1	-1	2	-1	2	-1	-1	0	0	2	-1	-1	-1	2	-2	-2	-1	-2	-2	1	1	1	1	0	0	0	0	0	0	-1	1	1	0	0	0	0	0
χ₂₃	2	2	-1	2	-1	2	2	2	-1	-2	-2	-1	-1	2	-1	-2	1	1	0	0	2	-1	-1	-1	-2	$2 i$	$- 2 i$	1	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	1	$- i$	$i$	0	0	0	0	0
χ₂₄	2	2	-1	2	-1	2	2	2	-1	-2	-2	-1	-1	2	-1	-2	1	1	0	0	2	-1	-1	-1	-2	$- 2 i$	$2 i$	1	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	1	$i$	$- i$	0	0	0	0	0
χ₂₅	2	2	-1	2	-1	-2	2	2	-1	2	2	1	-1	2	-1	2	-1	-1	0	0	-2	1	1	-1	-2	2	2	-1	-2	-2	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	0	0	0	0	0
χ₂₆	2	2	-1	2	-1	-2	2	2	-1	2	2	1	-1	2	-1	2	-1	-1	0	0	-2	1	1	-1	-2	-2	-2	-1	2	2	1	1	1	1	0	0	0	0	0	0	1	-1	-1	0	0	0	0	0
χ₂₇	2	2	-1	2	-1	-2	2	2	-1	-2	-2	1	-1	2	-1	-2	1	1	0	0	-2	1	1	-1	2	$2 i$	$- 2 i$	1	$- 2 i$	$2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	-1	$i$	$- i$	0	0	0	0	0
χ₂₈	2	2	-1	2	-1	-2	2	2	-1	-2	-2	1	-1	2	-1	-2	1	1	0	0	-2	1	1	-1	2	$- 2 i$	$2 i$	1	$2 i$	$- 2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	-1	$- i$	$i$	0	0	0	0	0
χ₂₉	4	4	4	4	4	4	-1	-1	4	0	0	4	-1	-1	-1	0	0	0	4	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	-1	0	0	0	0
χ₃₀	4	4	4	4	4	4	-1	-1	4	0	0	4	-1	-1	-1	0	0	0	-4	-4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0
χ₃₁	4	4	4	4	4	-4	-1	-1	4	0	0	-4	-1	-1	-1	0	0	0	4	-4	1	1	1	-1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0
χ₃₂	4	4	4	4	4	-4	-1	-1	4	0	0	-4	-1	-1	-1	0	0	0	-4	4	1	1	1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	1	0	0	0	0
χ₃₃	4	4	-2	-4	-2	0	4	4	2	4	4	0	-2	-4	-2	-4	-2	-2	0	0	0	0	0	2	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-2	-4	-2	0	4	4	2	-4	-4	0	-2	-4	-2	4	2	2	0	0	0	0	0	2	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	0	4	-4	0	$4 i$	$- 4 i$	0	4	0	-4	0	$4 i$	$- 4 i$	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	0
χ₃₆	4	-4	4	0	-4	0	4	-4	0	$- 4 i$	$4 i$	0	4	0	-4	0	$- 4 i$	$4 i$	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	0
χ₃₇	4	-4	-2	0	2	0	4	-4	0	$4 i$	$- 4 i$	0	-2	0	2	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴−ζ¹⁴+ζ²²−ζ²⁸−ζ³⁸+ζ⁴⁴+ζ⁴⁶−ζ⁵²−ζ⁶²+ζ⁶⁸−ζ⁷⁶−ζ⁸⁶+ζ⁹²+ζ⁹⁴+ζ¹¹⁶+ζ¹¹⁸	ζ⁴+ζ¹⁴−ζ²²+ζ²⁸+ζ³⁸−ζ⁴⁴−ζ⁴⁶+ζ⁵²+ζ⁶²−ζ⁶⁸+ζ⁷⁶+ζ⁸⁶−ζ⁹²−ζ⁹⁴−ζ¹¹⁶−ζ¹¹⁸	−ζ⁴+ζ¹⁴−ζ²²−ζ²⁸+ζ³⁸+ζ⁴⁴−ζ⁴⁶−ζ⁵²+ζ⁶²+ζ⁶⁸−ζ⁷⁶+ζ⁸⁶+ζ⁹²−ζ⁹⁴+ζ¹¹⁶−ζ¹¹⁸	ζ⁴−ζ¹⁴+ζ²²+ζ²⁸−ζ³⁸−ζ⁴⁴+ζ⁴⁶+ζ⁵²−ζ⁶²−ζ⁶⁸+ζ⁷⁶−ζ⁸⁶−ζ⁹²+ζ⁹⁴−ζ¹¹⁶+ζ¹¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	-2	0	2	0	4	-4	0	$4 i$	$- 4 i$	0	-2	0	2	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁴+ζ¹⁴−ζ²²+ζ²⁸+ζ³⁸−ζ⁴⁴−ζ⁴⁶+ζ⁵²+ζ⁶²−ζ⁶⁸+ζ⁷⁶+ζ⁸⁶−ζ⁹²−ζ⁹⁴−ζ¹¹⁶−ζ¹¹⁸	−ζ⁴−ζ¹⁴+ζ²²−ζ²⁸−ζ³⁸+ζ⁴⁴+ζ⁴⁶−ζ⁵²−ζ⁶²+ζ⁶⁸−ζ⁷⁶−ζ⁸⁶+ζ⁹²+ζ⁹⁴+ζ¹¹⁶+ζ¹¹⁸	ζ⁴−ζ¹⁴+ζ²²+ζ²⁸−ζ³⁸−ζ⁴⁴+ζ⁴⁶+ζ⁵²−ζ⁶²−ζ⁶⁸+ζ⁷⁶−ζ⁸⁶−ζ⁹²+ζ⁹⁴−ζ¹¹⁶+ζ¹¹⁸	−ζ⁴+ζ¹⁴−ζ²²−ζ²⁸+ζ³⁸+ζ⁴⁴−ζ⁴⁶−ζ⁵²+ζ⁶²+ζ⁶⁸−ζ⁷⁶+ζ⁸⁶+ζ⁹²−ζ⁹⁴+ζ¹¹⁶−ζ¹¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-2	0	2	0	4	-4	0	$- 4 i$	$4 i$	0	-2	0	2	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ¹⁴−ζ²²−ζ²⁸+ζ³⁸+ζ⁴⁴−ζ⁴⁶−ζ⁵²+ζ⁶²+ζ⁶⁸−ζ⁷⁶+ζ⁸⁶+ζ⁹²−ζ⁹⁴+ζ¹¹⁶−ζ¹¹⁸	ζ⁴−ζ¹⁴+ζ²²+ζ²⁸−ζ³⁸−ζ⁴⁴+ζ⁴⁶+ζ⁵²−ζ⁶²−ζ⁶⁸+ζ⁷⁶−ζ⁸⁶−ζ⁹²+ζ⁹⁴−ζ¹¹⁶+ζ¹¹⁸	−ζ⁴−ζ¹⁴+ζ²²−ζ²⁸−ζ³⁸+ζ⁴⁴+ζ⁴⁶−ζ⁵²−ζ⁶²+ζ⁶⁸−ζ⁷⁶−ζ⁸⁶+ζ⁹²+ζ⁹⁴+ζ¹¹⁶+ζ¹¹⁸	ζ⁴+ζ¹⁴−ζ²²+ζ²⁸+ζ³⁸−ζ⁴⁴−ζ⁴⁶+ζ⁵²+ζ⁶²−ζ⁶⁸+ζ⁷⁶+ζ⁸⁶−ζ⁹²−ζ⁹⁴−ζ¹¹⁶−ζ¹¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-2	0	2	0	4	-4	0	$- 4 i$	$4 i$	0	-2	0	2	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁴−ζ¹⁴+ζ²²+ζ²⁸−ζ³⁸−ζ⁴⁴+ζ⁴⁶+ζ⁵²−ζ⁶²−ζ⁶⁸+ζ⁷⁶−ζ⁸⁶−ζ⁹²+ζ⁹⁴−ζ¹¹⁶+ζ¹¹⁸	−ζ⁴+ζ¹⁴−ζ²²−ζ²⁸+ζ³⁸+ζ⁴⁴−ζ⁴⁶−ζ⁵²+ζ⁶²+ζ⁶⁸−ζ⁷⁶+ζ⁸⁶+ζ⁹²−ζ⁹⁴+ζ¹¹⁶−ζ¹¹⁸	ζ⁴+ζ¹⁴−ζ²²+ζ²⁸+ζ³⁸−ζ⁴⁴−ζ⁴⁶+ζ⁵²+ζ⁶²−ζ⁶⁸+ζ⁷⁶+ζ⁸⁶−ζ⁹²−ζ⁹⁴−ζ¹¹⁶−ζ¹¹⁸	−ζ⁴−ζ¹⁴+ζ²²−ζ²⁸−ζ³⁸+ζ⁴⁴+ζ⁴⁶−ζ⁵²−ζ⁶²+ζ⁶⁸−ζ⁷⁶−ζ⁸⁶+ζ⁹²+ζ⁹⁴+ζ¹¹⁶+ζ¹¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	8	-8	8	0	-2	-2	-8	0	0	0	-2	2	-2	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
χ₄₂	8	8	-4	8	-4	8	-2	-2	-4	0	0	-4	1	-2	1	0	0	0	0	0	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	8	-4	8	-4	-8	-2	-2	-4	0	0	4	1	-2	1	0	0	0	0	0	2	-1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	8	-4	-8	-4	0	-2	-2	4	0	0	0	1	2	1	0	0	0	0	0	0	$- i \sqrt{15}$	$i \sqrt{15}$	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	8	-4	-8	-4	0	-2	-2	4	0	0	0	1	2	1	0	0	0	0	0	0	$i \sqrt{15}$	$- i \sqrt{15}$	-1	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	0	-2	2	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{10}$	$- i \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	8	0	-8	0	-2	2	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{10}$	$i \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	16	-16	-8	0	8	0	-4	4	0	0	0	0	2	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	0	0	0	0	0

Character table — Group #11751958