Group #72214257 — 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	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆
size	1	1	2	3	3	4	4	4	6	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	16	16	32	32	32	32	32	48	48	64	64	64	64	64	64	96	128	128	128	128	192	192	192	192	192	192	192	192
order	1	2	2	2	2	4	4	4	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	2	2	2	3	6	6	6	2	2	12	12	12	12	12	12	2	6	6	6	6	4	4	4	4	4	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	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	-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	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	-1	-1	-1	1	1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	1	-1	1	-1	1	-1
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	-1	-1	-1	1	1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	1	-1	1	-1	1	-1	1
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	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	-1	-1	1	1	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
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	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	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	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₀	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	2	2	2	-2	-2	-2	-1	-1	-1	-1	-2	-2	-1	-1	-1	-1	-1	-1	-2	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₁	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	-2	-2	-2	2	2	-2	-1	-1	-1	-1	2	2	-1	-1	1	1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₂	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	-2	-2	-2	-2	-2	2	-1	-1	-1	-1	-2	-2	-1	-1	1	1	1	1	2	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	-1	-1	-1	-1	2	-2	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	-2	0	-1	-1	-1	-1	2	-2	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	2	2	2	2	-2	2	-2	-2	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	-1	-1	-1	-1	-2	2	1	1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	-2	0	0	2	-2	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	2	0	-1	-1	-1	-1	-2	2	1	1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₂₀	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₂₁	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-3	-3	-3	0	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₂₂	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-3	-3	-3	0	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₂₃	3	3	3	3	3	3	-3	-3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	3	3	-3	0	0	0	0	-1	-1	0	0	0	0	0	0	1	0	0	0	0	1	-1	1	-1	-1	1	-1	1
χ₂₄	3	3	3	3	3	3	-3	-3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	3	3	-3	0	0	0	0	-1	-1	0	0	0	0	0	0	1	0	0	0	0	-1	1	-1	1	1	-1	1	-1
χ₂₅	3	3	3	3	3	3	-3	-3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-3	-3	3	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₆	3	3	3	3	3	3	-3	-3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-3	-3	3	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₇	4	4	-4	4	4	0	0	0	-4	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₂₈	4	4	-4	4	4	0	0	0	-4	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	4	4	0	0	0	-4	0	0	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	4	-4	0	2	-2	0	0	2	-2	4	-4	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	4	-4	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	4	-4	0	2	-2	0	0	2	-2	4	-4	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	4	-4	0	2	-2	0	0	2	-2	4	-4	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	4	-4	0	-2	2	0	0	-2	2	4	-4	0	0	0	0	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	4	-4	0	0	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	4	-4	0	-2	2	0	0	-2	2	4	-4	0	0	0	0	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	4	-4	0	-2	2	0	0	-2	2	4	-4	0	0	0	0	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	6	6	6	-6	0	0	6	-6	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	6	-6	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	6	6	6	-6	0	0	6	-6	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	-6	6	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	12	12	12	-4	-4	12	12	12	-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	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	12	12	-4	-4	12	-12	-12	-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	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	12	12	-4	-4	-12	0	0	-4	4	0	0	0	0	0	0	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
χ₄₁	12	12	12	-4	-4	-12	0	0	-4	4	0	0	0	0	0	0	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
χ₄₂	12	12	-12	12	12	0	0	0	-12	0	0	0	-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	0	0	0	0	0	0
χ₄₃	12	12	-12	-4	-4	0	0	0	4	0	0	0	0	0	0	0	4	4	-4	-4	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
χ₄₄	12	12	-12	-4	-4	0	0	0	4	0	0	0	0	0	0	0	4	4	-4	-4	-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
χ₄₅	12	12	-12	-4	-4	0	0	0	4	0	0	0	0	0	0	0	-4	-4	4	4	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
χ₄₆	12	12	-12	-4	-4	0	0	0	4	0	0	0	0	0	0	0	-4	-4	4	4	-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
χ₄₇	12	-12	0	12	-12	0	6	-6	0	0	6	-6	-4	4	0	0	0	0	0	0	-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	0	0	0
χ₄₈	12	-12	0	12	-12	0	-6	6	0	0	-6	6	-4	4	0	0	0	0	0	0	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	0	0	0
χ₄₉	12	-12	0	-4	4	0	6	-6	0	0	-2	2	0	0	4	-4	4	-4	4	-4	6	-2	-2	-2	-6	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	0	0	0
χ₅₀	12	-12	0	-4	4	0	6	-6	0	0	-2	2	0	0	4	-4	-4	4	-4	4	-2	6	-2	-2	2	-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	0	0	0
χ₅₁	12	-12	0	-4	4	0	6	-6	0	0	-2	2	0	0	-4	4	4	-4	-4	4	-2	-2	6	-2	2	2	-6	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
χ₅₂	12	-12	0	-4	4	0	6	-6	0	0	-2	2	0	0	-4	4	-4	4	4	-4	-2	-2	-2	6	2	2	2	-6	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
χ₅₃	12	-12	0	-4	4	0	-6	6	0	0	2	-2	0	0	4	-4	4	-4	4	-4	-6	2	2	2	6	-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	0	0	0
χ₅₄	12	-12	0	-4	4	0	-6	6	0	0	2	-2	0	0	4	-4	-4	4	-4	4	2	-6	2	2	-2	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	0	0	0
χ₅₅	12	-12	0	-4	4	0	-6	6	0	0	2	-2	0	0	-4	4	4	-4	-4	4	2	2	-6	2	-2	-2	6	-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
χ₅₆	12	-12	0	-4	4	0	-6	6	0	0	2	-2	0	0	-4	4	-4	4	4	-4	2	2	2	-6	-2	-2	-2	6	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 #72214257