Extensions 1→N→G→Q→1 with N=C4 and Q=D41

Direct product G=NxQ with N=C4 and Q=D41
dρLabelID
C4xD411642C4xD41328,5

Semidirect products G=N:Q with N=C4 and Q=D41
extensionφ:Q→Aut NdρLabelID
C4:D41 = D164φ: D41/C41C2 ⊆ Aut C41642+C4:D41328,6

Non-split extensions G=N.Q with N=C4 and Q=D41
extensionφ:Q→Aut NdρLabelID
C4.D41 = Dic82φ: D41/C41C2 ⊆ Aut C43282-C4.D41328,4
C4.2D41 = C41:3C8central extension (φ=1)3282C4.2D41328,1

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