Extensions 1→N→G→Q→1 with N=C4 and Q=C5:C16

Direct product G=NxQ with N=C4 and Q=C5:C16
dρLabelID
C4xC5:C16320C4xC5:C16320,195

Semidirect products G=N:Q with N=C4 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C4:(C5:C16) = C20:C16φ: C5:C16/C5:2C8C2 ⊆ Aut C4320C4:(C5:C16)320,196

Non-split extensions G=N.Q with N=C4 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C4.(C5:C16) = C5:M6(2)φ: C5:C16/C5:2C8C2 ⊆ Aut C41604C4.(C5:C16)320,215
C4.2(C5:C16) = C5:C64central extension (φ=1)3204C4.2(C5:C16)320,3
C4.3(C5:C16) = C2xC5:C32central extension (φ=1)320C4.3(C5:C16)320,214

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