Extensions 1→N→G→Q→1 with N=C7:Dic7 and Q=C2

Direct product G=NxQ with N=C7:Dic7 and Q=C2
dρLabelID
C2xC7:Dic7392C2xC7:Dic7392,31

Semidirect products G=N:Q with N=C7:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
C7:Dic7:1C2 = D7xDic7φ: C2/C1C2 ⊆ Out C7:Dic7564-C7:Dic7:1C2392,18
C7:Dic7:2C2 = C72:2D4φ: C2/C1C2 ⊆ Out C7:Dic7564-C7:Dic7:2C2392,20
C7:Dic7:3C2 = C72:7D4φ: C2/C1C2 ⊆ Out C7:Dic7196C7:Dic7:3C2392,32
C7:Dic7:4C2 = C4xC7:D7φ: trivial image196C7:Dic7:4C2392,29

Non-split extensions G=N.Q with N=C7:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
C7:Dic7.1C2 = C72:2C8φ: C2/C1C2 ⊆ Out C7:Dic7564-C7:Dic7.1C2392,17
C7:Dic7.2C2 = C72:2Q8φ: C2/C1C2 ⊆ Out C7:Dic7564-C7:Dic7.2C2392,22
C7:Dic7.3C2 = C72:4Q8φ: C2/C1C2 ⊆ Out C7:Dic7392C7:Dic7.3C2392,28

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