Group #72220229 — 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
size	1	1	2	4	4	4	8	8	9	9	12	12	16	16	16	18	18	18	24	24	24	24	24	32	32	36	36	36	36	36	36	36	36	48	48	48	48	48	72	72	72	72	72	72	72	72	72	72	72	96	96	144	144	144
order	1	2	4	2	2	8	3	6	2	2	2	2	12	24	24	4	4	4	4	6	6	8	8	6	6	2	2	4	8	8	8	8	8	2	2	12	24	24	4	4	4	4	8	8	8	8	8	8	8	6	6	4	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	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
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
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
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
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
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	-1	-1	1	-1	1	1
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	1	-1	1	1	-1	-1
χ₉	1	1	1	-1	1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	1	-1	1	1	-1	1	1	1	1	-1	1	1	-1	-1	1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	1	-1	1	-1
χ₁₀	1	1	1	-1	1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	1	-1	1	1	-1	1
χ₁₁	1	1	1	-1	1	-1	1	1	1	1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	-1	1	1	-1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	-1	1	-1	1	-1	1
χ₁₂	1	1	1	-1	1	-1	1	1	1	1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	-1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	1	1	-1	1	1	-1	-1	1	1	1	-1	-1	1	-1
χ₁₃	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	1
χ₁₄	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1
χ₁₅	1	1	1	-1	-1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	1	1	1	1	1	-1
χ₁₆	1	1	1	-1	-1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1
χ₁₇	2	2	2	2	2	2	2	2	2	2	0	0	2	2	2	2	-2	-2	0	0	0	0	0	2	2	2	2	-2	2	0	0	0	0	0	0	0	0	0	0	-2	-2	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	2	2	-2	-2	0	0	2	2	2	-2	0	0	0	0	0	0	0	2	2	-2	-2	0	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	2	2	-2	-2	0	0	2	2	2	-2	0	0	0	0	0	0	0	2	2	-2	-2	0	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₀	2	2	2	2	-2	-2	2	2	2	2	0	0	2	-2	-2	2	-2	-2	0	0	0	0	0	2	-2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	0	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	2	-2	-2	2	0	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₂	2	2	2	2	-2	-2	2	2	-2	-2	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	2	-2	-2	2	0	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₂₃	2	2	2	-2	2	-2	2	2	2	2	0	0	2	-2	-2	2	-2	-2	0	0	0	0	0	-2	2	-2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	-2	2	-2	2	2	-2	-2	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	-2	2	2	-2	0	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₅	2	2	2	-2	2	-2	2	2	-2	-2	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	-2	2	2	-2	0	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₂₆	2	2	2	-2	-2	2	2	2	2	2	0	0	2	2	2	2	-2	-2	0	0	0	0	0	-2	-2	-2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	2	-2	-2	2	2	2	-2	-2	0	0	2	2	2	-2	0	0	0	0	0	0	0	-2	-2	2	2	0	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₂₈	2	2	2	-2	-2	2	2	2	-2	-2	0	0	2	2	2	-2	0	0	0	0	0	0	0	-2	-2	2	2	0	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₂₉	2	2	-2	0	0	0	2	2	2	2	2	2	-2	0	0	-2	2	2	-2	2	2	0	0	0	0	0	0	-2	0	2	-2	2	-2	0	0	-2	0	0	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	2	2	-2	0	0	0	2	2	2	2	2	2	-2	0	0	-2	2	2	-2	2	2	0	0	0	0	0	0	-2	0	-2	2	-2	2	0	0	-2	0	0	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	2	2	-2	0	0	0	2	2	2	2	-2	-2	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	0	0	-2	0	2	-2	2	-2	0	0	2	0	0	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	2	2	-2	0	0	0	2	2	2	2	-2	-2	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	0	0	-2	0	-2	2	-2	2	0	0	2	0	0	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	0	0	0	4	4	4	4	0	0	-4	0	0	-4	-4	-4	0	0	0	0	0	0	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	0
χ₃₄	4	4	-4	0	0	0	4	4	-4	-4	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-4	0	0	0	4	4	-4	-4	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	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	0	0	0	4	-4	-4	4	0	0	0	0	0	0	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	0	0	0	4	-4	-4	4	4	-4	0	0	0	0	-4	4	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
χ₃₉	4	-4	0	0	0	0	4	-4	-4	4	-4	4	0	0	0	0	-4	4	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
χ₄₀	8	8	8	8	8	8	-1	-1	0	0	2	2	-1	-1	-1	0	0	0	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0
χ₄₁	8	8	8	8	8	8	-1	-1	0	0	-2	-2	-1	-1	-1	0	0	0	-2	1	1	-2	-2	-1	-1	0	0	0	0	0	0	0	0	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0
χ₄₂	8	8	8	8	-8	-8	-1	-1	0	0	2	2	-1	1	1	0	0	0	2	-1	-1	-2	-2	-1	1	0	0	0	0	0	0	0	0	2	-2	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0
χ₄₃	8	8	8	8	-8	-8	-1	-1	0	0	-2	-2	-1	1	1	0	0	0	-2	1	1	2	2	-1	1	0	0	0	0	0	0	0	0	-2	2	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0
χ₄₄	8	8	8	-8	8	-8	-1	-1	0	0	2	2	-1	1	1	0	0	0	2	-1	-1	-2	-2	1	-1	0	0	0	0	0	0	0	0	-2	2	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0
χ₄₅	8	8	8	-8	8	-8	-1	-1	0	0	-2	-2	-1	1	1	0	0	0	-2	1	1	2	2	1	-1	0	0	0	0	0	0	0	0	2	-2	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0
χ₄₆	8	8	8	-8	-8	8	-1	-1	0	0	2	2	-1	-1	-1	0	0	0	2	-1	-1	2	2	1	1	0	0	0	0	0	0	0	0	-2	-2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0
χ₄₇	8	8	8	-8	-8	8	-1	-1	0	0	-2	-2	-1	-1	-1	0	0	0	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	2	2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0
χ₄₈	8	-8	0	0	0	0	8	-8	8	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	16	16	-16	0	0	0	-2	-2	0	0	4	4	2	0	0	0	0	0	-4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	16	16	-16	0	0	0	-2	-2	0	0	-4	-4	2	0	0	0	0	0	4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	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	-2	2	0	0	4	-4	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	16	-16	0	0	0	0	-2	2	0	0	4	-4	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	16	-16	0	0	0	0	-2	2	0	0	-4	4	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	2	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	16	-16	0	0	0	0	-2	2	0	0	-4	4	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	2	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72220229