Group #11922320 — 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	C₅₇	C₅₈	C₅₉	C₆₀
size	1	1	2	2	2	4	6	6	8	8	12	12	12	16	16	16	16	16	24	24	24	24	24	24	36	36	36	48	48	72	1	1	2	2	2	4	6	6	8	8	12	12	12	16	16	16	16	16	24	24	24	24	24	24	36	36	36	48	48	72
order	1	2	3	4	6	12	2	4	3	6	2	6	12	3	6	12	12	12	2	6	6	8	24	24	4	4	4	6	6	8	2	2	6	4	6	12	2	4	6	6	2	6	12	6	6	12	12	12	2	6	6	8	24	24	4	4	4	6	6	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	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	-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	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	-1	-1	-1	-1	1	1	-1	-1	1
χ₅	2	2	2	2	2	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	0	0	-1	-1	0	2	2	2	2	2	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	0	0	-1	-1	0
χ₆	2	2	2	2	2	2	2	2	-1	-1	-2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	0	0	1	1	0	2	2	2	2	2	2	2	2	-1	-1	-2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	0	0	1	1	0
χ₇	2	2	2	-2	2	-2	-2	2	2	2	0	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	2	-2	2	-2	-2	2	2	2	0	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₉	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₁₀	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0	0	0	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0	0	0
χ₁₁	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	-2	1	1	-2	1	1	0	0	0	0	0	0	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	-2	1	1	-2	1	1	0	0	0	0	0	0
χ₁₂	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₃	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₁₄	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	0	0	1	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	0	0	1
χ₁₅	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	-1	1	1	0	0	-1	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	-1	1	1	0	0	-1
χ₁₆	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	1	1	1	0	0	-1	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	1	1	1	0	0	-1
χ₁₇	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	1	-1	-1	0	0	1	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	1	-1	-1	0	0	1
χ₁₈	4	4	-2	4	-2	-2	4	4	-2	-2	0	-2	-2	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-2	4	-2	-2	4	4	-2	-2	0	-2	-2	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	-2	-4	-2	2	-4	4	-2	-2	0	2	-2	1	1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	2	-4	4	-2	-2	0	2	-2	1	1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0
χ₂₁	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0
χ₂₂	6	6	6	-6	6	-6	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	6	-6	6	-6	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	0	0	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	0	0
χ₂₄	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0
χ₂₅	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₂₆	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₂₇	8	-8	8	0	-8	0	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	8	0	-8	0	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	-8	-4	0	4	0	0	0	-4	4	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	-4	0	4	0	0	0	-4	4	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	1	1	-1	-1	1
χ₃₃	1	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₃₄	1	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	-1
χ₃₅	2	2	2	2	2	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	0	0	-1	-1	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	-2	-2	-2	1	1	1	1	1	0	0	0	0	0	0	-2	0	0	1	1	0
χ₃₆	2	2	2	2	2	2	2	2	-1	-1	-2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	0	0	1	1	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	2	-2	-2	1	1	1	1	1	0	0	0	0	0	0	2	0	0	-1	-1	0
χ₃₇	2	2	2	-2	2	-2	-2	2	2	2	0	-2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	-2	2	2	-2	-2	-2	0	2	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	-2	-2	-2	2	-2	2	2	-2	1	1	0	2	-2	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₃₉	2	2	2	-2	2	-2	-2	2	-1	-1	0	-2	2	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	-2	-2	-2	2	-2	2	2	-2	1	1	0	2	-2	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₄₀	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0	0	0	-2	-2	1	-2	1	1	-2	-2	-2	-2	0	1	1	1	1	-2	1	1	-2	1	1	-2	1	1	0	0	0	0	0	0
χ₄₁	2	2	-1	2	-1	-1	2	2	2	2	0	-1	-1	-1	-1	2	-1	-1	-2	1	1	-2	1	1	0	0	0	0	0	0	-2	-2	1	-2	1	1	-2	-2	-2	-2	0	1	1	1	1	-2	1	1	2	-1	-1	2	-1	-1	0	0	0	0	0	0
χ₄₂	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	2	1	-1	2	-2	-2	-2	0	-1	1	1	1	2	-1	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₄₃	2	2	-1	-2	-1	1	-2	2	2	2	0	1	-1	-1	-1	-2	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	2	1	-1	2	-2	-2	-2	0	-1	1	1	1	2	-1	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₄₄	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	0	0	1	-3	-3	-3	-3	-3	-3	1	1	0	0	-3	1	1	0	0	0	0	0	-1	-1	-1	1	1	1	1	1	1	0	0	-1
χ₄₅	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	-1	1	1	0	0	-1	-3	-3	-3	-3	-3	-3	1	1	0	0	-3	1	1	0	0	0	0	0	1	1	1	-1	-1	-1	1	-1	-1	0	0	1
χ₄₆	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	1	1	1	-1	-1	-1	1	1	1	0	0	-1	-3	-3	-3	-3	-3	-3	1	1	0	0	3	1	1	0	0	0	0	0	-1	-1	-1	1	1	1	-1	-1	-1	0	0	1
χ₄₇	3	3	3	3	3	3	-1	-1	0	0	-3	-1	-1	0	0	0	0	0	-1	-1	-1	1	1	1	1	-1	-1	0	0	1	-3	-3	-3	-3	-3	-3	1	1	0	0	3	1	1	0	0	0	0	0	1	1	1	-1	-1	-1	-1	1	1	0	0	-1
χ₄₈	4	4	-2	4	-2	-2	4	4	-2	-2	0	-2	-2	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	2	-4	2	2	-4	-4	2	2	0	2	2	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	4	-2	-4	-2	2	-4	4	-2	-2	0	2	-2	1	1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	-2	4	-4	2	2	0	-2	2	-1	-1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	-4	4	-4	0	4	0	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0
χ₅₁	4	-4	4	0	-4	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	-4	4	-4	0	4	0	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0
χ₅₂	6	6	6	-6	6	-6	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	-6	6	-6	6	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	0	0	-6	-6	3	-6	3	3	2	2	0	0	0	-1	-1	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0
χ₅₄	6	6	-3	6	-3	-3	-2	-2	0	0	0	1	1	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	0	0	0	0	-6	-6	3	-6	3	3	2	2	0	0	0	-1	-1	0	0	0	0	0	2	-1	-1	-2	1	1	0	0	0	0	0	0
χ₅₅	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	-6	-6	3	6	3	-3	-2	2	0	0	0	1	-1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₅₆	6	6	-3	-6	-3	3	2	-2	0	0	0	-1	1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	-6	-6	3	6	3	-3	-2	2	0	0	0	1	-1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₅₇	8	-8	8	0	-8	0	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	-8	0	8	0	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	0	0	0	-2	2	0	0	0	1	-1	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	8	-8	-4	0	4	0	0	0	2	-2	0	0	0	-1	1	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	0	0	0	-2	2	0	0	0	1	-1	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	8	-8	-4	0	4	0	0	0	-4	4	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	4	0	-4	0	0	0	4	-4	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11922320