Extensions 1→N→G→Q→1 with N=Dic11 and Q=S3

Direct product G=NxQ with N=Dic11 and Q=S3
dρLabelID
S3xDic111324-S3xDic11264,6

Semidirect products G=N:Q with N=Dic11 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic11:S3 = C11:D12φ: S3/C3C2 ⊆ Out Dic111324+Dic11:S3264,10
Dic11:2S3 = D33:C4φ: trivial image1324+Dic11:2S3264,7

Non-split extensions G=N.Q with N=Dic11 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic11.S3 = C33:Q8φ: S3/C3C2 ⊆ Out Dic112644-Dic11.S3264,11

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