Extensions 1→N→G→Q→1 with N=C10 and Q=C40

Direct product G=NxQ with N=C10 and Q=C40
dρLabelID
C10xC40400C10xC40400,111

Semidirect products G=N:Q with N=C10 and Q=C40
extensionφ:Q→Aut NdρLabelID
C10:C40 = C10xC5:C8φ: C40/C10C4 ⊆ Aut C1080C10:C40400,139
C10:2C40 = C10xC5:2C8φ: C40/C20C2 ⊆ Aut C1080C10:2C40400,81

Non-split extensions G=N.Q with N=C10 and Q=C40
extensionφ:Q→Aut NdρLabelID
C10.C40 = C5xC5:C16φ: C40/C10C4 ⊆ Aut C10804C10.C40400,56
C10.2C40 = C5xC5:2C16φ: C40/C20C2 ⊆ Aut C10802C10.2C40400,49

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