Extensions 1→N→G→Q→1 with N=Dic43 and Q=C2

Direct product G=NxQ with N=Dic43 and Q=C2
dρLabelID
C2xDic43344C2xDic43344,6

Semidirect products G=N:Q with N=Dic43 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic43:C2 = C43:D4φ: C2/C1C2 ⊆ Out Dic431722Dic43:C2344,7
Dic43:2C2 = C4xD43φ: trivial image1722Dic43:2C2344,4

Non-split extensions G=N.Q with N=Dic43 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic43.C2 = Dic86φ: C2/C1C2 ⊆ Out Dic433442-Dic43.C2344,3

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