Extensions 1→N→G→Q→1 with N=C3:C8 and Q=C3xC6

Direct product G=NxQ with N=C3:C8 and Q=C3xC6
dρLabelID
C3xC6xC3:C8144C3xC6xC3:C8432,469

Semidirect products G=N:Q with N=C3:C8 and Q=C3xC6
extensionφ:Q→Out NdρLabelID
C3:C8:1(C3xC6) = C32xD4:S3φ: C3xC6/C32C2 ⊆ Out C3:C872C3:C8:1(C3xC6)432,475
C3:C8:2(C3xC6) = C32xD4.S3φ: C3xC6/C32C2 ⊆ Out C3:C872C3:C8:2(C3xC6)432,476
C3:C8:3(C3xC6) = C32xQ8:2S3φ: C3xC6/C32C2 ⊆ Out C3:C8144C3:C8:3(C3xC6)432,477
C3:C8:4(C3xC6) = C32xC8:S3φ: C3xC6/C32C2 ⊆ Out C3:C8144C3:C8:4(C3xC6)432,465
C3:C8:5(C3xC6) = C32xC4.Dic3φ: C3xC6/C32C2 ⊆ Out C3:C872C3:C8:5(C3xC6)432,470
C3:C8:6(C3xC6) = S3xC3xC24φ: trivial image144C3:C8:6(C3xC6)432,464

Non-split extensions G=N.Q with N=C3:C8 and Q=C3xC6
extensionφ:Q→Out NdρLabelID
C3:C8.(C3xC6) = C32xC3:Q16φ: C3xC6/C32C2 ⊆ Out C3:C8144C3:C8.(C3xC6)432,478

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