Extensions 1→N→G→Q→1 with N=Q8 and Q=C5xD5

Direct product G=NxQ with N=Q8 and Q=C5xD5
dρLabelID
C5xQ8xD5804C5xQ8xD5400,187

Semidirect products G=N:Q with N=Q8 and Q=C5xD5
extensionφ:Q→Out NdρLabelID
Q8:(C5xD5) = C5xQ8:D5φ: C5xD5/C52C2 ⊆ Out Q8804Q8:(C5xD5)400,89
Q8:2(C5xD5) = C5xQ8:2D5φ: trivial image804Q8:2(C5xD5)400,188

Non-split extensions G=N.Q with N=Q8 and Q=C5xD5
extensionφ:Q→Out NdρLabelID
Q8.(C5xD5) = C5xC5:Q16φ: C5xD5/C52C2 ⊆ Out Q8804Q8.(C5xD5)400,90

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