Group #72274969 — 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	1	6	8	12	12	24	24	24	24	24	32	32	32	32	48	48	2	2	12	16	24	24	48	48	48	48	48	64	64	64	64	96	96	3	3	18	24	36	36	72	72	72	72	72	96	96	96	96	144	144
order	1	2	2	2	2	4	2	4	4	4	4	3	6	6	6	4	8	3	6	6	6	6	12	6	12	12	12	12	3	6	6	6	12	24	2	2	2	2	2	4	2	4	4	4	4	6	6	6	6	4	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	1	1	1	-1	1	1	1	-1	-1	1	-1	1	1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	1	-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	-1
χ₅	2	2	2	2	2	2	0	0	2	0	0	-1	-1	-1	-1	0	0	2	2	2	2	2	2	0	0	2	0	0	-1	-1	-1	-1	0	0	2	2	2	2	2	2	0	0	2	0	0	-1	-1	-1	-1	0	0
χ₆	2	2	2	-2	2	2	0	0	-2	0	0	-1	-1	1	1	0	0	2	2	2	-2	2	2	0	0	-2	0	0	-1	-1	1	1	0	0	2	2	2	-2	2	2	0	0	-2	0	0	-1	-1	1	1	0	0
χ₇	3	3	3	3	-1	-1	1	1	-1	1	1	0	0	0	0	-1	-1	3	3	3	3	-1	-1	1	1	-1	1	1	0	0	0	0	-1	-1	3	3	3	3	-1	-1	1	1	-1	1	1	0	0	0	0	-1	-1
χ₈	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1
χ₉	3	3	3	-3	-1	-1	1	-1	1	1	-1	0	0	0	0	1	-1	3	3	3	-3	-1	-1	1	-1	1	1	-1	0	0	0	0	1	-1	3	3	3	-3	-1	-1	1	-1	1	1	-1	0	0	0	0	1	-1
χ₁₀	3	3	3	-3	-1	-1	-1	1	1	-1	1	0	0	0	0	-1	1	3	3	3	-3	-1	-1	-1	1	1	-1	1	0	0	0	0	-1	1	3	3	3	-3	-1	-1	-1	1	1	-1	1	0	0	0	0	-1	1
χ₁₁	6	6	-2	0	2	-2	0	2	0	0	-2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	2	0	0	-2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	2	0	0	-2	0	0	0	0	0	0
χ₁₂	6	6	-2	0	2	-2	0	-2	0	0	2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	-2	0	0	2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	-2	0	0	2	0	0	0	0	0	0
χ₁₃	6	6	-2	0	-2	2	2	0	0	-2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	2	0	0	-2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	2	0	0	-2	0	0	0	0	0	0	0
χ₁₄	6	6	-2	0	-2	2	-2	0	0	2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	-2	0	0	2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	-2	0	0	2	0	0	0	0	0	0	0
χ₁₅	8	-8	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0
χ₁₆	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₇	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₁₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₉	1	1	1	1	1	1	-1	-1	1	-1	-1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	1	-1	-1	-1	-1	1	1
χ₂₀	1	1	1	-1	1	1	1	-1	-1	1	-1	1	1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	1	-1	1	1	-1	-1	-1	1	-1	-1	-1	1	-1	-1	-1	1	1	-1	1	-1	-1	1	1	1	-1
χ₂₁	1	1	1	-1	1	1	-1	1	-1	-1	1	1	1	-1	-1	1	-1	1	1	1	-1	1	1	-1	1	-1	-1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	-1	-1	1	-1	1	1	-1	-1	-1	1	1	-1	1
χ₂₂	2	2	2	2	2	2	0	0	2	0	0	-1	-1	-1	-1	0	0	2	2	2	2	2	2	0	0	2	0	0	-1	-1	-1	-1	0	0	-2	-2	-2	-2	-2	-2	0	0	-2	0	0	1	1	1	1	0	0
χ₂₃	2	2	2	-2	2	2	0	0	-2	0	0	-1	-1	1	1	0	0	2	2	2	-2	2	2	0	0	-2	0	0	-1	-1	1	1	0	0	-2	-2	-2	2	-2	-2	0	0	2	0	0	1	1	-1	-1	0	0
χ₂₄	3	3	3	3	-1	-1	1	1	-1	1	1	0	0	0	0	-1	-1	3	3	3	3	-1	-1	1	1	-1	1	1	0	0	0	0	-1	-1	-3	-3	-3	-3	1	1	-1	-1	1	-1	-1	0	0	0	0	1	1
χ₂₅	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	-3	-3	-3	-3	1	1	1	1	1	1	1	0	0	0	0	-1	-1
χ₂₆	3	3	3	-3	-1	-1	1	-1	1	1	-1	0	0	0	0	1	-1	3	3	3	-3	-1	-1	1	-1	1	1	-1	0	0	0	0	1	-1	-3	-3	-3	3	1	1	-1	1	-1	-1	1	0	0	0	0	-1	1
χ₂₇	3	3	3	-3	-1	-1	-1	1	1	-1	1	0	0	0	0	-1	1	3	3	3	-3	-1	-1	-1	1	1	-1	1	0	0	0	0	-1	1	-3	-3	-3	3	1	1	1	-1	-1	1	-1	0	0	0	0	1	-1
χ₂₈	6	6	-2	0	2	-2	0	2	0	0	-2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	2	0	0	-2	0	0	0	0	0	0	-6	-6	2	0	-2	2	0	-2	0	0	2	0	0	0	0	0	0
χ₂₉	6	6	-2	0	2	-2	0	-2	0	0	2	0	0	0	0	0	0	6	6	-2	0	2	-2	0	-2	0	0	2	0	0	0	0	0	0	-6	-6	2	0	-2	2	0	2	0	0	-2	0	0	0	0	0	0
χ₃₀	6	6	-2	0	-2	2	2	0	0	-2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	2	0	0	-2	0	0	0	0	0	0	0	-6	-6	2	0	2	-2	-2	0	0	2	0	0	0	0	0	0	0
χ₃₁	6	6	-2	0	-2	2	-2	0	0	2	0	0	0	0	0	0	0	6	6	-2	0	-2	2	-2	0	0	2	0	0	0	0	0	0	0	-6	-6	2	0	2	-2	2	0	0	-2	0	0	0	0	0	0	0
χ₃₂	8	-8	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	8	-8	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0
χ₃₃	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-8	8	0	0	0	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₃₄	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	8	-8	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-8	8	0	0	0	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₃₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-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	0	0	0	0	0	0	0	0	0
χ₃₆	2	2	2	2	2	2	-2	-2	2	-2	-2	2	2	2	2	-2	-2	-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	0	0	0	0	0	0	0	0	0
χ₃₇	2	2	2	-2	2	2	2	-2	-2	2	-2	2	2	-2	-2	-2	2	-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	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	-2	2	2	-2	2	-2	-2	2	2	2	-2	-2	2	-2	-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	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	4	4	4	4	0	0	4	0	0	-2	-2	-2	-2	0	0	-2	-2	-2	-2	-2	-2	0	0	-2	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	4	-4	4	4	0	0	-4	0	0	-2	-2	2	2	0	0	-2	-2	-2	2	-2	-2	0	0	2	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	6	6	-2	-2	2	2	-2	2	2	0	0	0	0	-2	-2	-3	-3	-3	-3	1	1	-1	-1	1	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	2	2	-3	-3	-3	-3	1	1	1	1	1	1	1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	6	-6	-2	-2	2	-2	2	2	-2	0	0	0	0	2	-2	-3	-3	-3	3	1	1	-1	1	-1	-1	1	0	0	0	0	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	0	0	-2	2	-3	-3	-3	3	1	1	1	-1	-1	1	-1	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	12	-4	0	4	-4	0	4	0	0	-4	0	0	0	0	0	0	-6	-6	2	0	-2	2	0	-2	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
χ₄₆	12	12	-4	0	4	-4	0	-4	0	0	4	0	0	0	0	0	0	-6	-6	2	0	-2	2	0	2	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
χ₄₇	12	12	-4	0	-4	4	4	0	0	-4	0	0	0	0	0	0	0	-6	-6	2	0	2	-2	-2	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
χ₄₈	12	12	-4	0	-4	4	-4	0	0	4	0	0	0	0	0	0	0	-6	-6	2	0	2	-2	2	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
χ₄₉	16	-16	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	0	-8	8	0	0	0	0	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	0	0
χ₅₀	16	-16	0	0	0	0	0	0	0	0	0	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	-8	8	0	0	0	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	16	-16	0	0	0	0	0	0	0	0	0	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	-8	8	0	0	0	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72274969