Extensions 1→N→G→Q→1 with N=Q8 and Q=C5xC10

Direct product G=NxQ with N=Q8 and Q=C5xC10
dρLabelID
Q8xC5xC10400Q8xC5xC10400,203

Semidirect products G=N:Q with N=Q8 and Q=C5xC10
extensionφ:Q→Out NdρLabelID
Q8:(C5xC10) = SD16xC52φ: C5xC10/C52C2 ⊆ Out Q8200Q8:(C5xC10)400,114
Q8:2(C5xC10) = C4oD4xC52φ: trivial image200Q8:2(C5xC10)400,204

Non-split extensions G=N.Q with N=Q8 and Q=C5xC10
extensionφ:Q→Out NdρLabelID
Q8.(C5xC10) = Q16xC52φ: C5xC10/C52C2 ⊆ Out Q8400Q8.(C5xC10)400,115

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