Extensions 1→N→G→Q→1 with N=C45 and Q=C10

Direct product G=NxQ with N=C45 and Q=C10
dρLabelID
C5xC90450C5xC90450,19

Semidirect products G=N:Q with N=C45 and Q=C10
extensionφ:Q→Aut NdρLabelID
C45:1C10 = C5xD45φ: C10/C5C2 ⊆ Aut C45902C45:1C10450,17
C45:2C10 = D9xC52φ: C10/C5C2 ⊆ Aut C45225C45:2C10450,16
C45:3C10 = D5xC45φ: C10/C5C2 ⊆ Aut C45902C45:3C10450,14

Non-split extensions G=N.Q with N=C45 and Q=C10
extensionφ:Q→Aut NdρLabelID
C45.C10 = D9xC25φ: C10/C5C2 ⊆ Aut C452252C45.C10450,1

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