Extensions 1→N→G→Q→1 with N=D4 and Q=Dic11

Direct product G=NxQ with N=D4 and Q=Dic11
dρLabelID
D4xDic11176D4xDic11352,129

Semidirect products G=N:Q with N=D4 and Q=Dic11
extensionφ:Q→Out NdρLabelID
D4:1Dic11 = D4:Dic11φ: Dic11/C22C2 ⊆ Out D4176D4:1Dic11352,38
D4:2Dic11 = C44.56D4φ: Dic11/C22C2 ⊆ Out D4884D4:2Dic11352,43

Non-split extensions G=N.Q with N=D4 and Q=Dic11
extensionφ:Q→Out NdρLabelID
D4.Dic11 = Q8.Dic11φ: trivial image1764D4.Dic11352,143

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