Group #72228032 — 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	1	1	1	1	1	1	12	12	12	12	12	12	24	24	24	24	48	48	48	48	48	48	48	48	48	48	48	96	96	96	96	96	96	96	96	96	96	96	96	96	96	128	128	128	128	128	128	128	128
order	1	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	2	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	3	6	6	6	6	6	6	6
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	2	2	2	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
χ₄	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-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
χ₅	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-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
χ₆	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	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
χ₇	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	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
χ₈	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	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
χ₉	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	-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
χ₁₀	3	3	3	3	3	3	3	3	-1	-1	3	-1	3	-1	3	-1	3	-1	-1	3	-1	-1	-1	-1	-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
χ₁₁	3	3	3	3	3	3	3	3	-1	-1	3	-1	3	-1	3	-1	3	-1	-1	3	-1	-1	-1	-1	-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
χ₁₂	3	3	3	3	3	3	3	3	-1	-1	3	-1	3	-1	-1	3	-1	3	-1	-1	3	-1	-1	-1	-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
χ₁₃	3	3	3	3	3	3	3	3	-1	-1	3	-1	3	-1	-1	3	-1	3	-1	-1	3	-1	-1	-1	-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
χ₁₄	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	-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
χ₁₅	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	-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
χ₁₆	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	3	-1	3	3	-1	-1	-1	-1	-1	3	-1	-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
χ₁₇	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	3	-1	3	3	-1	-1	-1	-1	-1	3	-1	-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
χ₁₈	4	4	4	-4	-4	-4	-4	4	0	0	0	-4	0	4	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₉	4	4	4	-4	-4	-4	-4	4	0	0	0	-4	0	4	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₂₀	4	-4	-4	4	4	-4	-4	4	0	0	-4	0	4	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	1	1	-1	-1	1	1	-1	-1
χ₂₁	4	-4	-4	4	4	-4	-4	4	0	0	-4	0	4	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	1	1	-1	-1	1	1	-1	-1
χ₂₂	4	-4	-4	-4	-4	4	4	4	-4	4	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	1	1	-1	-1	-1	-1	1	1
χ₂₃	4	-4	-4	-4	-4	4	4	4	-4	4	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	1	1	-1	-1	-1	-1	1	1
χ₂₄	6	6	6	6	6	6	6	6	6	6	-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	0	0	0	0	0	0	0	0
χ₂₅	6	6	6	6	6	6	6	6	-2	-2	6	-2	6	-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	0	0	0	0	0	0	0	0
χ₂₆	6	6	6	6	6	6	6	6	-2	-2	-2	6	-2	6	-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	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	6	-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	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	6	-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	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2	6	-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	0	0	0	0	0	0	0	0
χ₃₀	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2	-2	6	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	0	0	0	0	0	0	0	0
χ₃₁	8	8	8	-8	-8	-8	-8	8	0	0	0	-8	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	0	0	-1	-1	-1	-1	1	1	1	1
χ₃₂	8	8	-8	8	-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	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	-1	1	1	-1	1	-1	1	-1
χ₃₃	8	8	-8	8	-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	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	-1	1	1	-1	1	-1	1	-1
χ₃₄	8	8	-8	-8	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	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	-1	1	1	-1	-1	1	-1	1
χ₃₅	8	8	-8	-8	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	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	-1	1	1	-1	-1	1	-1	1
χ₃₆	8	-8	8	8	-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	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	-1	1	-1	1	1	-1	-1	1
χ₃₇	8	-8	8	8	-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	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	-1	1	-1	1	1	-1	-1	1
χ₃₈	8	-8	8	-8	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	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-1	1	-1	1	-1	1	1	-1
χ₃₉	8	-8	8	-8	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	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-1	1	-1	1	-1	1	1	-1
χ₄₀	8	-8	-8	8	8	-8	-8	8	0	0	-8	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	0	0	0	-1	-1	1	1	-1	-1	1	1
χ₄₁	8	-8	-8	-8	-8	8	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	-1	-1	1	1	1	1	-1	-1
χ₄₂	12	12	12	-12	-12	-12	-12	12	0	0	0	4	0	-4	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	12	12	-12	-12	-12	-12	12	0	0	0	4	0	-4	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	-12	-12	12	12	-12	-12	12	0	0	4	0	-4	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	0	0	0	0	0	0
χ₄₅	12	-12	-12	12	12	-12	-12	12	0	0	4	0	-4	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	0	0	0	0	0	0
χ₄₆	12	-12	-12	-12	-12	12	12	12	4	-4	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	0	0	0	0	0	0
χ₄₇	12	-12	-12	-12	-12	12	12	12	4	-4	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	0	0	0	0	0	0
χ₄₈	16	16	-16	16	-16	16	-16	-16	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	1	-1	-1	1	-1	1	-1	1
χ₄₉	16	16	-16	-16	16	-16	16	-16	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	1	-1	-1	1	1	-1	1	-1
χ₅₀	16	-16	16	16	-16	-16	16	-16	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	1	-1	1	-1	-1	1	1	-1
χ₅₁	16	-16	16	-16	16	16	-16	-16	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	1	-1	1	-1	1	-1	-1	1

Character table — Group #72228032