Group #72341735 — 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
size	1	1	2	6	6	12	12	12	12	16	24	24	32	32	48	48	48	48	48	48	48	48	64	64	64	1	1	2	6	6	12	12	12	12	16	24	24	32	32	48	48	48	48	48	48	48	48	64	64	64
order	1	2	4	2	4	2	2	4	4	2	8	8	3	6	2	4	4	4	4	4	4	8	6	6	12	2	2	4	2	4	2	2	4	4	2	8	8	6	6	2	4	4	4	4	4	4	8	6	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	0	0	-1	-1	0	2	0	0	0	0	0	0	-1	-1	-1	2	2	2	2	2	2	2	2	2	2	0	0	-1	-1	0	2	0	0	0	0	0	0	-1	-1	-1
χ₆	2	2	2	2	2	2	2	2	2	-2	0	0	-1	-1	0	-2	0	0	0	0	0	0	1	1	-1	2	2	2	2	2	2	2	2	2	-2	0	0	-1	-1	0	-2	0	0	0	0	0	0	1	1	-1
χ₇	2	2	-2	2	-2	2	-2	2	-2	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	2	-2	2	-2	2	-2	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	-2
χ₈	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1
χ₉	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1
χ₁₀	3	3	3	3	3	-1	-1	-1	-1	3	1	1	0	0	1	-1	1	-1	-1	-1	-1	1	0	0	0	3	3	3	3	3	-1	-1	-1	-1	3	1	1	0	0	1	-1	1	-1	-1	-1	-1	1	0	0	0
χ₁₁	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	0	0	-1	-1	-1	1	1	1	1	-1	0	0	0	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	0	0	-1	-1	-1	1	1	1	1	-1	0	0	0
χ₁₂	3	3	3	3	3	-1	-1	-1	-1	-3	1	1	0	0	-1	1	-1	-1	-1	1	1	1	0	0	0	3	3	3	3	3	-1	-1	-1	-1	-3	1	1	0	0	-1	1	-1	-1	-1	1	1	1	0	0	0
χ₁₃	3	3	3	3	3	-1	-1	-1	-1	-3	-1	-1	0	0	1	1	1	1	1	-1	-1	-1	0	0	0	3	3	3	3	3	-1	-1	-1	-1	-3	-1	-1	0	0	1	1	1	1	1	-1	-1	-1	0	0	0
χ₁₄	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	2	0	-2	0	0	0	0	0	0	0	0	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	2	0	-2	0	0	0	0	0	0	0	0
χ₁₅	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0
χ₁₆	6	6	6	-2	-2	-2	2	2	-2	0	2	2	0	0	0	0	0	0	0	0	0	-2	0	0	0	6	6	6	-2	-2	-2	2	2	-2	0	2	2	0	0	0	0	0	0	0	0	0	-2	0	0	0
χ₁₇	6	6	6	-2	-2	-2	2	2	-2	0	-2	-2	0	0	0	0	0	0	0	0	0	2	0	0	0	6	6	6	-2	-2	-2	2	2	-2	0	-2	-2	0	0	0	0	0	0	0	0	0	2	0	0	0
χ₁₈	6	6	-6	6	-6	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	6	-6	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0
χ₂₀	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0
χ₂₁	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0
χ₂₂	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0
χ₂₃	8	-8	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	8	-8	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	16	-16	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	16	-16	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₇	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1
χ₂₈	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	-1	-1	-1	1	1	-1	-1	1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	1	-1	-1	1	1	-1	1	1	-1
χ₂₉	1	1	1	1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	1	-1	-1	1	1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	1	-1	1	1	-1	-1	1	1	1	-1
χ₃₀	2	2	2	2	2	2	2	2	2	2	0	0	-1	-1	0	2	0	0	0	0	0	0	-1	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	0	-2	0	0	0	0	0	0	1	1	1
χ₃₁	2	2	2	2	2	2	2	2	2	-2	0	0	-1	-1	0	-2	0	0	0	0	0	0	1	1	-1	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	0	0	1	1	0	2	0	0	0	0	0	0	-1	-1	1
χ₃₂	2	2	-2	2	-2	2	-2	2	-2	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	-2	2	-2	2	-2	2	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	2
χ₃₃	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	-2	-2	2	-2	2	-2	2	-2	2	0	0	0	1	1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1
χ₃₄	2	2	-2	2	-2	2	-2	2	-2	0	0	0	-1	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	-2	-2	2	-2	2	-2	2	-2	2	0	0	0	1	1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1
χ₃₅	3	3	3	3	3	-1	-1	-1	-1	3	1	1	0	0	1	-1	1	-1	-1	-1	-1	1	0	0	0	-3	-3	-3	-3	-3	1	1	1	1	-3	-1	-1	0	0	-1	1	-1	1	1	1	1	-1	0	0	0
χ₃₆	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	0	0	-1	-1	-1	1	1	1	1	-1	0	0	0	-3	-3	-3	-3	-3	1	1	1	1	-3	1	1	0	0	1	1	1	-1	-1	-1	-1	1	0	0	0
χ₃₇	3	3	3	3	3	-1	-1	-1	-1	-3	1	1	0	0	-1	1	-1	-1	-1	1	1	1	0	0	0	-3	-3	-3	-3	-3	1	1	1	1	3	-1	-1	0	0	1	-1	1	1	1	-1	-1	-1	0	0	0
χ₃₈	3	3	3	3	3	-1	-1	-1	-1	-3	-1	-1	0	0	1	1	1	1	1	-1	-1	-1	0	0	0	-3	-3	-3	-3	-3	1	1	1	1	3	1	1	0	0	-1	-1	-1	-1	-1	1	1	1	0	0	0
χ₃₉	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	2	0	-2	0	0	0	0	0	0	0	0	-6	-6	-6	2	2	-2	2	2	-2	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0
χ₄₀	6	6	6	-2	-2	2	-2	-2	2	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	-6	-6	-6	2	2	-2	2	2	-2	0	0	0	0	0	2	0	-2	0	0	0	0	0	0	0	0
χ₄₁	6	6	6	-2	-2	-2	2	2	-2	0	2	2	0	0	0	0	0	0	0	0	0	-2	0	0	0	-6	-6	-6	2	2	2	-2	-2	2	0	-2	-2	0	0	0	0	0	0	0	0	0	2	0	0	0
χ₄₂	6	6	6	-2	-2	-2	2	2	-2	0	-2	-2	0	0	0	0	0	0	0	0	0	2	0	0	0	-6	-6	-6	2	2	2	-2	-2	2	0	2	2	0	0	0	0	0	0	0	0	0	-2	0	0	0
χ₄₃	6	6	-6	6	-6	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	-6	6	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	-6	-6	6	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0
χ₄₅	6	6	-6	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	-6	-6	6	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0
χ₄₆	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	-6	-6	6	2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0
χ₄₇	6	6	-6	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	-6	-6	6	2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0
χ₄₈	8	-8	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	16	-16	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	-16	16	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72341735