# Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4○D12

Direct product G=N×Q with N=C3 and Q=C3×C4○D12
dρLabelID
C32×C4○D1272C3^2xC4oD12432,703

Semidirect products G=N:Q with N=C3 and Q=C3×C4○D12
extensionφ:Q→Aut NdρLabelID
C31(C3×C4○D12) = C3×D6.6D6φ: C3×C4○D12/C3×Dic6C2 ⊆ Aut C3484C3:1(C3xC4oD12)432,647
C32(C3×C4○D12) = C3×D6.D6φ: C3×C4○D12/S3×C12C2 ⊆ Aut C3484C3:2(C3xC4oD12)432,646
C33(C3×C4○D12) = C3×D125S3φ: C3×C4○D12/C3×D12C2 ⊆ Aut C3484C3:3(C3xC4oD12)432,643
C34(C3×C4○D12) = C3×D6.3D6φ: C3×C4○D12/C3×C3⋊D4C2 ⊆ Aut C3244C3:4(C3xC4oD12)432,652
C35(C3×C4○D12) = C3×C12.59D6φ: C3×C4○D12/C6×C12C2 ⊆ Aut C372C3:5(C3xC4oD12)432,713

Non-split extensions G=N.Q with N=C3 and Q=C3×C4○D12
extensionφ:Q→Aut NdρLabelID
C3.1(C3×C4○D12) = C3×D365C2φ: C3×C4○D12/C6×C12C2 ⊆ Aut C3722C3.1(C3xC4oD12)432,344
C3.2(C3×C4○D12) = C62.36D6φ: C3×C4○D12/C6×C12C2 ⊆ Aut C3726C3.2(C3xC4oD12)432,351
C3.3(C3×C4○D12) = D366C6φ: C3×C4○D12/C6×C12C2 ⊆ Aut C3726C3.3(C3xC4oD12)432,355
C3.4(C3×C4○D12) = C9×C4○D12central extension (φ=1)722C3.4(C3xC4oD12)432,347

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