Group #72342040 — 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	1	1	2	2	4	4	6	6	6	6	6	6	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	32	32	32	32	48	48	48	48	48	48	48	48	64	64	64	64	64	64	96	96	96
order	1	2	2	2	4	4	2	2	2	2	2	2	2	2	4	4	4	4	4	2	2	2	4	4	4	8	8	8	8	3	6	6	6	4	4	8	8	8	8	8	8	6	6	6	6	12	12	4	4	4
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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0
χ₆	2	2	2	2	2	2	-2	-2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0
χ₇	2	2	2	2	-2	-2	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	-2	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0
χ₈	2	2	2	2	-2	-2	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	-2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	1	1	0	0	0
χ₉	2	2	2	2	-2	-2	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	-2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	1	1	0	0	0
χ₁₀	2	-2	2	-2	0	0	0	0	2	2	2	-2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	2	-2	-2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₁₁	2	-2	2	-2	0	0	0	0	2	2	2	-2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	2	-2	-2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₁₂	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	1	1	1	-1	-1	1	-1	-1	0	0	0	0	0	0	1	-1	-1
χ₁₃	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	1	1	-1	1	1	0	0	0	0	0	0	-1	1	1
χ₁₄	3	3	3	3	3	3	3	3	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	1	1	-1	1	-1	-1	1	-1	0	0	0	0	0	0	-1	1	-1
χ₁₅	3	3	3	3	3	3	3	3	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	1	-1	1	1	-1	1	0	0	0	0	0	0	1	-1	1
χ₁₆	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	1	1	1	1	0	0	0	0	1	1	-1	-1	1	-1	-1	1	0	0	0	0	0	0	-1	-1	1
χ₁₇	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	1	1	-1	1	1	-1	0	0	0	0	0	0	1	1	-1
χ₁₈	3	3	3	3	3	3	-3	-3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-3	1	1	1	1	-1	1	1	1	1	0	0	0	0	-1	-1	1	-1	-1	1	-1	-1	0	0	0	0	0	0	-1	1	1
χ₁₉	3	3	3	3	3	3	-3	-3	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-3	1	1	1	1	-1	-1	-1	-1	-1	0	0	0	0	1	1	-1	1	1	-1	1	1	0	0	0	0	0	0	1	-1	-1
χ₂₀	3	3	3	3	3	3	-3	-3	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	1	-3	1	1	1	-1	1	1	1	1	0	0	0	0	-1	-1	-1	1	-1	-1	1	-1	0	0	0	0	0	0	1	-1	1
χ₂₁	3	3	3	3	3	3	-3	-3	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	1	-3	1	1	1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	-1	1	1	-1	1	0	0	0	0	0	0	-1	1	-1
χ₂₂	3	3	3	3	3	3	-3	-3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	1	1	-3	1	1	-1	1	1	1	1	0	0	0	0	-1	-1	-1	-1	1	-1	-1	1	0	0	0	0	0	0	1	1	-1
χ₂₃	3	3	3	3	3	3	-3	-3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	1	1	-3	1	1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	1	1	-1	0	0	0	0	0	0	-1	-1	1
χ₂₄	4	4	-4	-4	4	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	1	-1	-1	1	$2 i$	$- 2 i$	0	0	0	0	0	0	1	-1	1	-1	1	-1	0	0	0
χ₂₅	4	4	-4	-4	4	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	1	-1	-1	1	$- 2 i$	$2 i$	0	0	0	0	0	0	1	-1	1	-1	1	-1	0	0	0
χ₂₆	4	4	-4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	1	-1	-1	1	$- 2 i$	$2 i$	0	0	0	0	0	0	-1	1	-1	1	1	-1	0	0	0
χ₂₇	4	4	-4	-4	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	1	-1	-1	1	$2 i$	$- 2 i$	0	0	0	0	0	0	-1	1	-1	1	1	-1	0	0	0
χ₂₈	4	-4	4	-4	0	0	0	0	4	4	4	-4	-4	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	6	6	6	6	6	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	6	6	6	6	-6	-6	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	6	6	-6	-6	0	0	6	-2	-2	6	-2	-2	-2	-2	-6	2	2	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	0
χ₃₂	6	6	6	6	-6	-6	0	0	-2	6	-2	-2	6	-2	-2	-2	2	-6	2	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	0
χ₃₃	6	6	6	6	-6	-6	0	0	-2	-2	6	-2	-2	6	-2	-2	2	2	-6	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	0
χ₃₄	6	6	6	6	-6	-6	0	0	-2	-2	-2	-2	-2	-2	2	2	2	2	2	0	0	0	4	-4	-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
χ₃₅	6	6	6	6	-6	-6	0	0	-2	-2	-2	-2	-2	-2	2	2	2	2	2	0	0	0	-4	4	-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
χ₃₆	6	-6	6	-6	0	0	0	0	6	-2	-2	-6	2	2	-2	2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₇	6	-6	6	-6	0	0	0	0	6	-2	-2	-6	2	2	-2	2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₈	6	-6	6	-6	0	0	0	0	-2	6	-2	2	-6	2	-2	2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₉	6	-6	6	-6	0	0	0	0	-2	6	-2	2	-6	2	-2	2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₄₀	6	-6	6	-6	0	0	0	0	-2	-2	6	2	2	-6	-2	2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₄₁	6	-6	6	-6	0	0	0	0	-2	-2	6	2	2	-6	-2	2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₄₂	8	8	-8	-8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	0	0	0	0	-1	1	-1	1	-1	1	0	0	0
χ₄₃	8	8	-8	-8	8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	1	0	0	0
χ₄₄	8	8	-8	-8	-8	8	0	0	0	0	0	0	0	0	0	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	0	0	0	0	0	-2	2	0	0	0
χ₄₅	8	8	-8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	0	0	0
χ₄₆	8	8	-8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	0	0	0
χ₄₇	8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	-12	12	-12	0	0	0	0	-4	-4	-4	4	4	4	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	0	0	0	0	0
χ₅₀	16	-16	-16	16	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	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72342040