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Extensions 1→N→G→Q→1 with N=C7 and Q=S3xC6

Direct product G=NxQ with N=C7 and Q=S3xC6
dρLabelID
S3xC42842S3xC42252,42

Semidirect products G=N:Q with N=C7 and Q=S3xC6
extensionφ:Q→Aut NdρLabelID
C7:1(S3xC6) = S3xF7φ: S3xC6/S3 → C6 ⊆ Aut C72112+C7:1(S3xC6)252,26
C7:2(S3xC6) = C2xC3:F7φ: S3xC6/C6 → C6 ⊆ Aut C7426+C7:2(S3xC6)252,30
C7:3(S3xC6) = C2xS3xC7:C3φ: S3xC6/D6 → C3 ⊆ Aut C7426C7:3(S3xC6)252,29
C7:4(S3xC6) = C3xS3xD7φ: S3xC6/C3xS3 → C2 ⊆ Aut C7424C7:4(S3xC6)252,33
C7:5(S3xC6) = C6xD21φ: S3xC6/C3xC6 → C2 ⊆ Aut C7842C7:5(S3xC6)252,43


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