Extensions 1→N→G→Q→1 with N=C3:C8 and Q=S3

Direct product G=NxQ with N=C3:C8 and Q=S3
dρLabelID
S3xC3:C8484S3xC3:C8144,52

Semidirect products G=N:Q with N=C3:C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C3:C8:1S3 = C3:D24φ: S3/C3C2 ⊆ Out C3:C8244+C3:C8:1S3144,57
C3:C8:2S3 = D12.S3φ: S3/C3C2 ⊆ Out C3:C8484-C3:C8:2S3144,59
C3:C8:3S3 = C32:5SD16φ: S3/C3C2 ⊆ Out C3:C8244+C3:C8:3S3144,60
C3:C8:4S3 = D6.Dic3φ: S3/C3C2 ⊆ Out C3:C8484C3:C8:4S3144,54
C3:C8:5S3 = C12.31D6φ: S3/C3C2 ⊆ Out C3:C8244C3:C8:5S3144,55
C3:C8:6S3 = C12.29D6φ: trivial image244C3:C8:6S3144,53

Non-split extensions G=N.Q with N=C3:C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C3:C8.S3 = C32:3Q16φ: S3/C3C2 ⊆ Out C3:C8484-C3:C8.S3144,62

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