Extensions 1→N→G→Q→1 with N=Dic14 and Q=S3

Direct product G=NxQ with N=Dic14 and Q=S3
dρLabelID
S3xDic141684-S3xDic14336,140

Semidirect products G=N:Q with N=Dic14 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic14:1S3 = C21:SD16φ: S3/C3C2 ⊆ Out Dic141684+Dic14:1S3336,35
Dic14:2S3 = C42.D4φ: S3/C3C2 ⊆ Out Dic141684Dic14:2S3336,33
Dic14:3S3 = D12:D7φ: S3/C3C2 ⊆ Out Dic141684Dic14:3S3336,141
Dic14:4S3 = D21:Q8φ: S3/C3C2 ⊆ Out Dic141684Dic14:4S3336,143
Dic14:5S3 = D84:C2φ: trivial image1684+Dic14:5S3336,142

Non-split extensions G=N.Q with N=Dic14 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic14.1S3 = C3:Dic28φ: S3/C3C2 ⊆ Out Dic143364-Dic14.1S3336,39
Dic14.2S3 = C21:Q16φ: S3/C3C2 ⊆ Out Dic143364Dic14.2S3336,38

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