Extensions 1→N→G→Q→1 with N=C3 and Q=C2×D12

Direct product G=N×Q with N=C3 and Q=C2×D12
dρLabelID
C6×D1248C6xD12144,160

Semidirect products G=N:Q with N=C3 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×D12) = S3×D12φ: C2×D12/D12 → C2 ⊆ Aut C3244+C3:1(C2xD12)144,144
C3⋊2(C2×D12) = C2×C12⋊S3φ: C2×D12/C2×C12 → C2 ⊆ Aut C372C3:2(C2xD12)144,170
C3⋊3(C2×D12) = C2×C3⋊D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C324C3:3(C2xD12)144,151

Non-split extensions G=N.Q with N=C3 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C3.(C2×D12) = C2×D36φ: C2×D12/C2×C12 → C2 ⊆ Aut C372C3.(C2xD12)144,39

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