Extensions 1→N→G→Q→1 with N=D4 and Q=Dic6

Direct product G=NxQ with N=D4 and Q=Dic6
dρLabelID
D4xDic696D4xDic6192,1096

Semidirect products G=N:Q with N=D4 and Q=Dic6
extensionφ:Q→Out NdρLabelID
D4:1Dic6 = Dic3.D8φ: Dic6/Dic3C2 ⊆ Out D496D4:1Dic6192,318
D4:2Dic6 = D4:Dic6φ: Dic6/Dic3C2 ⊆ Out D496D4:2Dic6192,320
D4:3Dic6 = C12.50D8φ: Dic6/C12C2 ⊆ Out D496D4:3Dic6192,566
D4:4Dic6 = C12.38SD16φ: Dic6/C12C2 ⊆ Out D496D4:4Dic6192,567
D4:5Dic6 = D4:5Dic6φ: trivial image96D4:5Dic6192,1098
D4:6Dic6 = D4:6Dic6φ: trivial image96D4:6Dic6192,1102

Non-split extensions G=N.Q with N=D4 and Q=Dic6
extensionφ:Q→Out NdρLabelID
D4.1Dic6 = D4.Dic6φ: Dic6/Dic3C2 ⊆ Out D496D4.1Dic6192,322
D4.2Dic6 = D4.2Dic6φ: Dic6/Dic3C2 ⊆ Out D496D4.2Dic6192,325
D4.3Dic6 = D4.3Dic6φ: Dic6/C12C2 ⊆ Out D496D4.3Dic6192,568

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