Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC4:C4

Direct product G=NxQ with N=C3 and Q=S3xC4:C4
dρLabelID
C3xS3xC4:C496C3xS3xC4:C4288,662

Semidirect products G=N:Q with N=C3 and Q=S3xC4:C4
extensionφ:Q→Aut NdρLabelID
C3:1(S3xC4:C4) = C62.53C23φ: S3xC4:C4/Dic3:C4C2 ⊆ Aut C348C3:1(S3xC4:C4)288,531
C3:2(S3xC4:C4) = C62.70C23φ: S3xC4:C4/C4:Dic3C2 ⊆ Aut C348C3:2(S3xC4:C4)288,548
C3:3(S3xC4:C4) = C4:C4xC3:S3φ: S3xC4:C4/C3xC4:C4C2 ⊆ Aut C3144C3:3(S3xC4:C4)288,748
C3:4(S3xC4:C4) = S3xDic3:C4φ: S3xC4:C4/S3xC2xC4C2 ⊆ Aut C396C3:4(S3xC4:C4)288,524
C3:5(S3xC4:C4) = S3xC4:Dic3φ: S3xC4:C4/S3xC2xC4C2 ⊆ Aut C396C3:5(S3xC4:C4)288,537

Non-split extensions G=N.Q with N=C3 and Q=S3xC4:C4
extensionφ:Q→Aut NdρLabelID
C3.(S3xC4:C4) = C4:C4xD9φ: S3xC4:C4/C3xC4:C4C2 ⊆ Aut C3144C3.(S3xC4:C4)288,101

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