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

Direct product G=NxQ with N=Dic7 and Q=C2
dρLabelID
C2xDic756C2xDic756,6

Semidirect products G=N:Q with N=Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7:C2 = C7:D4φ: C2/C1C2 ⊆ Out Dic7282Dic7:C256,7
Dic7:2C2 = C4xD7φ: trivial image282Dic7:2C256,4

Non-split extensions G=N.Q with N=Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7.C2 = Dic14φ: C2/C1C2 ⊆ Out Dic7562-Dic7.C256,3

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