Extensions 1→N→G→Q→1 with N=C3 and Q=C6×D12

Direct product G=N×Q with N=C3 and Q=C6×D12

Semidirect products G=N:Q with N=C3 and Q=C6×D12
extensionφ:Q→Aut NdρLabelID
C31(C6×D12) = C3×S3×D12φ: C6×D12/C3×D12C2 ⊆ Aut C3484C3:1(C6xD12)432,649
C32(C6×D12) = C6×C12⋊S3φ: C6×D12/C6×C12C2 ⊆ Aut C3144C3:2(C6xD12)432,712
C33(C6×D12) = C6×C3⋊D12φ: C6×D12/S3×C2×C6C2 ⊆ Aut C348C3:3(C6xD12)432,656

Non-split extensions G=N.Q with N=C3 and Q=C6×D12
extensionφ:Q→Aut NdρLabelID
C3.1(C6×D12) = C6×D36φ: C6×D12/C6×C12C2 ⊆ Aut C3144C3.1(C6xD12)432,343
C3.2(C6×D12) = C2×He34D4φ: C6×D12/C6×C12C2 ⊆ Aut C372C3.2(C6xD12)432,350
C3.3(C6×D12) = C2×D36⋊C3φ: C6×D12/C6×C12C2 ⊆ Aut C372C3.3(C6xD12)432,354
C3.4(C6×D12) = C18×D12central extension (φ=1)144C3.4(C6xD12)432,346