Group #11720321 — 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
size	1	1	2	2	2	2	2	2	2	4	4	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36
order	1	2	2	3	4	4	6	12	12	6	12	3	3	6	6	6	6	12	12	3	6	6	6	6	12	12	12	12	12	12	12	4	4	8	8	8	8	12	12	12	12	24	24	24	24	24	24	24	24
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
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
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
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
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	$i$	$- i$	$i$	$- i$	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	$- i$	$i$	$- i$	$i$	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	$i$	$- i$	$- i$	$i$	-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	$- i$	$i$	$i$	$- i$	-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	-1	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	-1	-1	-1	-1
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	1	1	1	1
χ₁₁	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	2	-1	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	2	-1	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	-2	-2	2	-2	-2	2	-2	2	-1	2	2	-1	2	1	1	-1	-1	-1	-1	-1	1	-2	-2	1	1	1	1	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$- i$	$- i$	$i$	$i$
χ₁₄	2	2	2	2	-2	-2	2	-2	-2	2	-2	2	-1	2	2	-1	2	1	1	-1	-1	-1	-1	-1	1	-2	-2	1	1	1	1	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$i$	$i$	$- i$	$- i$
χ₁₅	2	2	2	2	-2	-2	2	-2	-2	2	-2	-1	2	-1	-1	2	-1	-2	-2	-1	2	-1	-1	-1	-2	1	1	1	1	1	1	2	-2	0	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	-2	-2	2	-2	-2	2	-2	-1	2	-1	-1	2	-1	-2	-2	-1	2	-1	-1	-1	-2	1	1	1	1	1	1	-2	2	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₇	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	-2	2	2	-2	2	2	2	-2	-2	2	-1	-2	-2	-1	2	1	1	-1	1	1	1	-1	-1	2	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$
χ₁₉	2	2	-2	2	2	-2	2	2	2	-2	-2	2	-1	-2	-2	-1	2	1	1	-1	1	1	1	-1	-1	2	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$
χ₂₀	2	2	-2	2	2	-2	2	2	2	-2	-2	-1	2	1	1	2	-1	-2	-2	-1	-2	1	1	-1	2	-1	1	-1	-1	1	1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₁	2	2	-2	2	2	-2	2	2	2	-2	-2	-1	2	1	1	2	-1	-2	-2	-1	-2	1	1	-1	2	-1	1	-1	-1	1	1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₂	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	-2	2	-2	2	2	-2	-2	-2	2	2	-1	-2	-2	-1	2	-1	-1	-1	1	1	1	-1	1	-2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$
χ₂₄	2	2	-2	2	-2	2	2	-2	-2	-2	2	2	-1	-2	-2	-1	2	-1	-1	-1	1	1	1	-1	1	-2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$
χ₂₅	2	2	-2	2	-2	2	2	-2	-2	-2	2	-1	2	1	1	2	-1	2	2	-1	-2	1	1	-1	-2	1	-1	1	1	-1	-1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₆	2	2	-2	2	-2	2	2	-2	-2	-2	2	-1	2	1	1	2	-1	2	2	-1	-2	1	1	-1	-2	1	-1	1	1	-1	-1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	1	1	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	-4	-4	4	-4	-4	4	-4	-2	-2	-2	-2	-2	-2	2	2	1	-2	1	1	1	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	4	4	-4	4	4	4	-4	-4	-2	-2	2	2	-2	-2	2	2	1	2	-1	-1	1	-2	-2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	4	-4	4	4	-4	-4	-4	4	-2	-2	2	2	-2	-2	-2	-2	1	2	-1	-1	1	2	2	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	4	0	0	-4	0	0	0	0	4	4	0	0	-4	-4	0	0	4	0	0	0	-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
χ₃₂	4	-4	0	4	0	0	-4	0	0	0	0	4	-2	0	0	2	-4	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-2	0	0	0	2	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	4	0	0	-4	0	0	0	0	4	-2	0	0	2	-4	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-2	0	0	0	2	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	4	0	0	-4	0	0	0	0	-2	4	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-4	2	0	0	-2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	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	4	-4	0	4	0	0	-4	0	0	0	0	-2	4	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-4	2	0	0	-2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	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	4	-4	0	4	0	0	-4	0	0	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	$3 i$	$- 3 i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	4	0	0	-4	0	0	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	$- 3 i$	$3 i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	4	0	0	-4	0	0	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	$- 3 i$	$3 i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	4	0	0	-4	0	0	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	$3 i$	$- 3 i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	6	-3	6	6	-3	-3	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0
χ₄₁	6	6	6	-3	6	6	-3	-3	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	0	0
χ₄₂	6	6	6	-3	-6	-6	-3	3	3	-3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0
χ₄₃	6	6	6	-3	-6	-6	-3	3	3	-3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0
χ₄₄	6	6	-6	-3	6	-6	-3	-3	-3	3	3	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	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₄₅	6	6	-6	-3	6	-6	-3	-3	-3	3	3	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	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₄₆	6	6	-6	-3	-6	6	-3	3	3	3	-3	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	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₄₇	6	6	-6	-3	-6	6	-3	3	3	3	-3	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	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₄₈	12	-12	0	-6	0	0	6	$6 \sqrt{3}$	$- 6 \sqrt{3}$	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
χ₄₉	12	-12	0	-6	0	0	6	$- 6 \sqrt{3}$	$6 \sqrt{3}$	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

Character table — Group #11720321