Extensions 1→N→G→Q→1 with N=C4 and Q=Dic7

Direct product G=NxQ with N=C4 and Q=Dic7
dρLabelID
C4xDic7112C4xDic7112,10

Semidirect products G=N:Q with N=C4 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C4:Dic7 = C4:Dic7φ: Dic7/C14C2 ⊆ Aut C4112C4:Dic7112,12

Non-split extensions G=N.Q with N=C4 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C4.Dic7 = C4.Dic7φ: Dic7/C14C2 ⊆ Aut C4562C4.Dic7112,9
C4.2Dic7 = C7:C16central extension (φ=1)1122C4.2Dic7112,1
C4.3Dic7 = C2xC7:C8central extension (φ=1)112C4.3Dic7112,8

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