Group #72341170 — 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
size	1	3	4	4	4	8	8	24	24	48	48	48	48	48	96	96	96	96	96	96	96	96	192	192	192	192	192	192	192	192	192	192	192	192	192	384	384	384	384	512	512	512	512	512	512	512	512	768	768	768	768
order	1	2	2	2	2	2	2	2	2	2	2	4	4	4	2	4	4	4	4	4	4	4	2	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	3	6	6	6	6	6	6	6	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	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
χ₃	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	2	0	0	2	2	2	2	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₄	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	3	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	-1
χ₅	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1
χ₆	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	-1	-1	3	3	-1	-1	1	1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₇	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₈	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	3	3	-1	-1	3	3	1	1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₉	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	3	3	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₁₀	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	3	-1	3	-1	1	1	-1	1	1	3	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	1	-1
χ₁₁	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	3	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	1	1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	-1	1
χ₁₂	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	3	1	1	-1	1	1	-1	3	-1	-1	-1	-1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	-1	1
χ₁₃	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	1	1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	1	-1
χ₁₄	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	1	1	-1	1	1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₁₅	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₁₆	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	3	3	-1	1	1	-1	1	1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₁₇	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₁₈	4	4	4	4	4	-4	-4	4	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	2	2	0	-2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₁₉	4	4	4	4	4	-4	-4	4	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	0	2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₂₀	4	4	-4	-4	4	4	-4	0	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	2	-2	0	0	1	1	-1	-1	1	1	-1	-1	0	0	0	0
χ₂₁	4	4	-4	-4	4	4	-4	0	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	-2	2	0	0	1	1	-1	-1	1	1	-1	-1	0	0	0	0
χ₂₂	4	4	-4	-4	4	-4	4	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	2	-2	1	1	-1	-1	-1	-1	1	1	0	0	0	0
χ₂₃	4	4	-4	-4	4	-4	4	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	-2	2	1	1	-1	-1	-1	-1	1	1	0	0	0	0
χ₂₄	6	6	6	6	6	6	6	6	6	-2	-2	6	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	-2	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	6	6	6	6	6	-2	-2	6	-2	-2	6	-2	2	2	2	2	-2	-2	-2	-2	0	0	-2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	6	6	6	6	6	-2	-2	-2	6	-2	-2	6	2	2	2	2	-2	-2	-2	-2	0	0	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	2	2	-2	-2	-2	-2	6	-2	0	0	2	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	2	2	-2	-2	-2	-2	-2	6	0	0	2	0	0	2	-2	-2	2	0	0	0	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	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	6	-2	-2	-2	0	0	2	0	0	-2	2	-2	2	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	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	-2	6	-2	-2	0	0	2	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	8	8	8	8	-8	-8	8	8	0	0	-8	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	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₃₂	8	8	8	-8	-8	0	0	0	0	0	0	0	0	0	0	0	4	-4	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
χ₃₃	8	8	8	-8	-8	0	0	0	0	0	0	0	0	0	0	0	4	-4	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	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₃₄	8	8	8	-8	-8	0	0	0	0	0	0	0	0	0	0	0	4	-4	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	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₃₅	8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	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	2	-2	-2	2	0	0	0	0	0	0	0	0
χ₃₆	8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	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	-1	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₃₇	8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	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	-1	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₃₈	8	8	-8	-8	8	8	-8	0	0	0	-8	0	0	8	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	-1	-1	1	1	-1	-1	1	1	0	0	0	0
χ₃₉	8	8	-8	-8	8	-8	8	0	0	-8	0	0	8	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	-1	-1	1	1	1	1	-1	-1	0	0	0	0
χ₄₀	12	12	12	12	12	-12	-12	-4	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	2	2	0	-2	-2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	12	12	12	12	-12	-12	-4	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	-2	-2	0	2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	12	-12	-12	12	12	-12	0	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	12	-12	-12	12	12	-12	0	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	12	-12	-12	12	-12	12	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	12	-12	-12	12	-12	12	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	24	24	24	-24	-24	0	0	0	0	0	0	0	0	0	0	0	-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
χ₄₇	24	24	-24	24	-24	0	0	0	0	0	0	0	0	0	-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
χ₄₈	48	-16	0	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₄₉	48	-16	0	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-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
χ₅₀	48	-16	0	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₅₁	48	-16	0	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	-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

Character table — Group #72341170