Group #13180190 — 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	3	3	4	4	4	4	8	8	9	9	12	12	12	12	12	12	18	18	24	24	24	24	24	24	24	24	27	27	32	32	32	32	54	54	72	72	72	72	72	72	108	108	108	108	108	108
order	1	2	2	2	3	3	6	6	3	6	4	4	4	4	6	6	6	6	8	8	12	12	12	12	12	12	12	12	4	4	3	3	6	6	8	8	12	12	24	24	24	24	2	4	8	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	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	$i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$	$i$	$- i$
χ₆	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	$- i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$	$- i$	$i$
χ₇	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	$i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$	$- i$	$i$
χ₈	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	$- i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	-1	-1	2	2	0	0	2	2	2	2	2	2	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	-1	-1	2	2	0	0	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	-1	-2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	2	2	-1	-1	-2	-2	0	0	2	2	2	2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	-2	-2	-1	-1	-1	-1	$2 i$	$- 2 i$	1	1	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	2	2	-1	-1	-2	-2	0	0	2	2	2	2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	-2	-2	-1	-1	-1	-1	$- 2 i$	$2 i$	1	1	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0
χ₁₃	2	-2	-2	2	2	2	-2	-2	2	-2	$2 i$	$- 2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	2	2	-2	-2	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	-2	-2	2	2	2	-2	-2	2	-2	$- 2 i$	$2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	2	2	-2	-2	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	-2	-2	2	2	2	-2	-2	-1	1	$2 i$	$- 2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	-1	-1	1	1	0	0	$- i$	$i$	−ζ⁷+ζ²³	ζ⁷−ζ²³	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	0	0	0	0	0	0
χ₁₆	2	-2	-2	2	2	2	-2	-2	-1	1	$2 i$	$- 2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	-1	-1	1	1	0	0	$- i$	$i$	ζ⁷−ζ²³	−ζ⁷+ζ²³	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	0	0	0	0	0	0
χ₁₇	2	-2	-2	2	2	2	-2	-2	-1	1	$- 2 i$	$2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	-1	-1	1	1	0	0	$i$	$- i$	ζ⁵−ζ¹³	−ζ⁵+ζ¹³	−ζ⁷+ζ²³	ζ⁷−ζ²³	0	0	0	0	0	0
χ₁₈	2	-2	-2	2	2	2	-2	-2	-1	1	$- 2 i$	$2 i$	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	-1	-1	1	1	0	0	$i$	$- i$	−ζ⁵+ζ¹³	ζ⁵−ζ¹³	ζ⁷−ζ²³	−ζ⁷+ζ²³	0	0	0	0	0	0
χ₁₉	3	3	-1	-1	3	3	3	3	0	0	3	3	1	-1	-1	-1	-1	-1	3	3	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	1	-1	1	1	-1	-1
χ₂₀	3	3	-1	-1	3	3	3	3	0	0	3	3	1	-1	-1	-1	-1	-1	-3	-3	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0	1	-1	-1	-1	1	1
χ₂₁	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	1	-1	-1	1	1
χ₂₂	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	1	-1	-1	-1	-1	-3	-3	-1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0	-1	1	1	1	-1	-1
χ₂₃	3	3	-1	-1	3	3	3	3	0	0	-3	-3	1	-1	-1	-1	-1	-1	$3 i$	$- 3 i$	1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	$- i$	$i$	0	0	0	0	0	0	-1	1	$i$	$- i$	$- i$	$i$
χ₂₄	3	3	-1	-1	3	3	3	3	0	0	-3	-3	1	-1	-1	-1	-1	-1	$- 3 i$	$3 i$	1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	$i$	$- i$	0	0	0	0	0	0	-1	1	$- i$	$i$	$i$	$- i$
χ₂₅	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	1	-1	-1	-1	-1	$3 i$	$- 3 i$	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	$- i$	$i$	0	0	0	0	0	0	1	-1	$- i$	$i$	$i$	$- i$
χ₂₆	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	1	-1	-1	-1	-1	$- 3 i$	$3 i$	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	$i$	$- i$	0	0	0	0	0	0	1	-1	$i$	$- i$	$- i$	$i$
χ₂₇	4	4	4	4	1	-2	1	-2	4	4	0	0	4	4	1	-2	1	-2	0	0	1	1	-2	-2	1	1	-2	-2	0	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	1	-2	1	-2	4	4	0	0	-4	-4	1	-2	1	-2	0	0	-1	-1	2	2	-1	-1	2	2	0	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	-2	1	-2	1	4	4	0	0	4	4	-2	1	-2	1	0	0	-2	-2	1	1	-2	-2	1	1	0	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	4	-2	1	-2	1	4	4	0	0	-4	-4	-2	1	-2	1	0	0	2	2	-1	-1	2	2	-1	-1	0	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	-4	4	1	-2	-1	2	4	-4	0	0	0	0	1	-2	-1	2	0	0	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	-4	4	1	-2	-1	2	4	-4	0	0	0	0	1	-2	-1	2	0	0	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	-4	4	-2	1	2	-1	4	-4	0	0	0	0	-2	1	2	-1	0	0	0	0	$3 i$	$- 3 i$	0	0	$3 i$	$- 3 i$	0	0	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	-4	4	-2	1	2	-1	4	-4	0	0	0	0	-2	1	2	-1	0	0	0	0	$- 3 i$	$3 i$	0	0	$- 3 i$	$3 i$	0	0	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	-6	2	-2	6	6	-6	-6	0	0	$6 i$	$- 6 i$	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	-6	2	-2	6	6	-6	-6	0	0	$- 6 i$	$6 i$	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	8	8	2	-4	2	-4	-4	-4	0	0	0	0	2	-4	2	-4	0	0	0	0	0	0	0	0	0	0	0	0	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	8	8	-4	2	-4	2	-4	-4	0	0	0	0	-4	2	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	-8	-8	8	2	-4	-2	4	-4	4	0	0	0	0	2	-4	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	-8	8	-4	2	4	-2	-4	4	0	0	0	0	-4	2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	12	-4	-4	3	-6	3	-6	0	0	0	0	4	-4	-1	2	-1	2	0	0	1	1	-2	-2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	12	-4	-4	3	-6	3	-6	0	0	0	0	-4	4	-1	2	-1	2	0	0	-1	-1	2	2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	12	-4	-4	-6	3	-6	3	0	0	0	0	4	-4	2	-1	2	-1	0	0	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	12	-4	-4	-6	3	-6	3	0	0	0	0	-4	4	2	-1	2	-1	0	0	2	2	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	-12	4	-4	3	-6	-3	6	0	0	0	0	0	0	-1	2	1	-2	0	0	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	12	-12	4	-4	3	-6	-3	6	0	0	0	0	0	0	-1	2	1	-2	0	0	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	12	-12	4	-4	-6	3	6	-3	0	0	0	0	0	0	2	-1	-2	1	0	0	0	0	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	-12	4	-4	-6	3	6	-3	0	0	0	0	0	0	2	-1	-2	1	0	0	0	0	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13180190