Group #72244493 — 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
size	1	21	21	42	42	48	48	56	56	441	784	882	882	1008	1008	1152	1152	1176	1176	1176	1176	1176	1176	1568	1568	1764	1764	1764	1764	1764	2016	2016	2352	2352	2352	2352	2352	2352	2688	2688	3136	3136
order	1	2	2	4	4	7	7	3	3	2	2	4	4	14	14	7	7	6	6	8	8	8	8	6	6	4	8	8	8	8	28	28	12	12	24	24	24	24	21	21	3	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
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
χ₃	6	2	6	0	6	6	-1	0	6	2	0	0	2	2	-1	-1	-1	0	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	-1	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	-1	0	0
χ₄	6	2	6	0	6	6	-1	0	6	2	0	0	2	2	-1	-1	-1	0	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	-1	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	-1	0	0
χ₅	6	6	2	6	0	-1	6	6	0	2	0	2	0	-1	2	-1	-1	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-1	0	0	0
χ₆	6	6	2	6	0	-1	6	6	0	2	0	2	0	-1	2	-1	-1	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-1	0	0	0
χ₇	6	6	-2	6	2	-1	6	6	0	-2	0	-2	2	-1	-2	-1	-1	-2	0	0	0	0	0	0	0	2	0	0	0	0	-1	2	2	0	0	0	0	0	-1	0	0	0
χ₈	6	-2	6	2	6	6	-1	0	6	-2	0	2	-2	-2	-1	-1	-1	0	-2	0	0	0	0	0	0	2	0	0	0	0	2	-1	0	2	0	0	0	0	0	-1	0	0
χ₉	7	7	-1	7	-1	0	7	7	1	-1	1	-1	-1	0	-1	0	0	-1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	0	-1	-1	1	-1	-1	1	1	0	1	1	1
χ₁₀	7	7	-1	7	-1	0	7	7	1	-1	-1	-1	-1	0	-1	0	0	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	0	-1	-1	1	1	1	-1	-1	0	1	1	-1
χ₁₁	7	-1	7	-1	7	7	0	1	7	-1	1	-1	-1	-1	0	0	0	1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	0	1	-1	1	1	-1	-1	1	0	1	1
χ₁₂	7	-1	7	-1	7	7	0	1	7	-1	-1	-1	-1	-1	0	0	0	1	-1	-1	-1	1	1	-1	-1	-1	1	1	1	1	-1	0	1	-1	-1	-1	1	1	1	0	1	-1
χ₁₃	8	0	8	0	8	8	1	-1	8	0	2	0	0	0	1	1	1	-1	0	2	2	0	0	-1	2	0	0	0	0	0	0	1	-1	0	-1	-1	0	0	-1	1	-1	-1
χ₁₄	8	0	8	0	8	8	1	-1	8	0	-2	0	0	0	1	1	1	-1	0	-2	-2	0	0	1	-2	0	0	0	0	0	0	1	-1	0	1	1	0	0	-1	1	-1	1
χ₁₅	8	8	0	8	0	1	8	8	-1	0	2	0	0	1	0	1	1	0	-1	0	0	2	2	2	-1	0	0	0	0	0	1	0	0	-1	0	0	-1	-1	1	-1	-1	-1
χ₁₆	8	8	0	8	0	1	8	8	-1	0	-2	0	0	1	0	1	1	0	-1	0	0	-2	-2	-2	1	0	0	0	0	0	1	0	0	-1	0	0	1	1	1	-1	-1	1
χ₁₇	18	-6	-6	6	6	-3	-3	0	0	2	0	-2	-2	1	1	4	-3	0	0	0	0	0	0	0	0	2	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₈	18	-6	-6	6	6	-3	-3	0	0	2	0	-2	-2	1	1	-3	4	0	0	0	0	0	0	0	0	2	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₉	36	12	12	0	0	-6	-6	0	0	4	0	0	0	-2	-2	1	1	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	36	12	12	0	0	-6	-6	0	0	4	0	0	0	-2	-2	1	1	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	36	12	-12	0	12	-6	-6	0	0	-4	0	0	4	-2	2	1	1	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
χ₂₂	36	-12	12	12	0	-6	-6	0	0	-4	0	4	0	2	-2	1	1	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
χ₂₃	42	14	-6	0	-6	0	-7	0	6	-2	0	0	-2	0	1	0	0	0	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	1	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	-1	0	0
χ₂₄	42	14	-6	0	-6	0	-7	0	6	-2	0	0	-2	0	1	0	0	0	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	1	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	-1	0	0
χ₂₅	42	-14	-6	14	-6	0	-7	0	6	2	0	-2	2	0	1	0	0	0	-2	0	0	0	0	0	0	-2	0	0	0	0	0	1	0	2	0	0	0	0	0	-1	0	0
χ₂₆	42	-6	14	-6	0	-7	0	6	0	-2	0	-2	0	1	0	0	0	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	1	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-1	0	0	0
χ₂₇	42	-6	14	-6	0	-7	0	6	0	-2	0	-2	0	1	0	0	0	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	1	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-1	0	0	0
χ₂₈	42	-6	-14	-6	14	-7	0	6	0	2	0	2	-2	1	0	0	0	-2	0	0	0	0	0	0	0	-2	0	0	0	0	1	0	2	0	0	0	0	0	-1	0	0	0
χ₂₉	48	0	16	0	0	-8	6	-6	0	0	0	0	0	0	2	-1	-1	-2	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	1	0	0	0
χ₃₀	48	0	16	0	0	-8	6	-6	0	0	0	0	0	0	2	-1	-1	-2	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	1	0	0	0
χ₃₁	48	0	-16	0	16	-8	6	-6	0	0	0	0	0	0	-2	-1	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	1	0	0	0
χ₃₂	48	16	0	0	0	6	-8	0	-6	0	0	0	0	2	0	-1	-1	0	-2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	1	0	0
χ₃₃	48	16	0	0	0	6	-8	0	-6	0	0	0	0	2	0	-1	-1	0	-2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	1	0	0
χ₃₄	48	-16	0	16	0	6	-8	0	-6	0	0	0	0	-2	0	-1	-1	0	2	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-2	0	0	0	0	0	1	0	0
χ₃₅	49	-7	-7	-7	-7	0	0	7	7	1	1	1	1	0	0	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	0	0	-1	-1	-1	-1	-1	-1	0	0	1	1
χ₃₆	49	-7	-7	-7	-7	0	0	7	7	1	-1	1	1	0	0	0	0	-1	-1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	0	0	-1	-1	1	1	1	1	0	0	1	-1
χ₃₇	56	0	-8	0	-8	0	7	-7	8	0	2	0	0	0	-1	0	0	1	0	-2	-2	0	0	-1	2	0	0	0	0	0	0	-1	1	0	1	1	0	0	0	1	-1	-1
χ₃₈	56	0	-8	0	-8	0	7	-7	8	0	-2	0	0	0	-1	0	0	1	0	2	2	0	0	1	-2	0	0	0	0	0	0	-1	1	0	-1	-1	0	0	0	1	-1	1
χ₃₉	56	-8	0	-8	0	7	0	8	-7	0	2	0	0	-1	0	0	0	0	1	0	0	-2	-2	2	-1	0	0	0	0	0	-1	0	0	1	0	0	1	1	1	0	-1	-1
χ₄₀	56	-8	0	-8	0	7	0	8	-7	0	-2	0	0	-1	0	0	0	0	1	0	0	2	2	-2	1	0	0	0	0	0	-1	0	0	1	0	0	-1	-1	1	0	-1	1
χ₄₁	64	0	0	0	0	8	8	-8	-8	0	4	0	0	0	0	1	1	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₄₂	64	0	0	0	0	8	8	-8	-8	0	-4	0	0	0	0	1	1	0	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	-1

Character table — Group #72244493