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

Direct product G=N×Q with N=C3 and Q=C4○D12
dρLabelID
C3×C4○D12242C3xC4oD12144,161

Semidirect products G=N:Q with N=C3 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C31(C4○D12) = D6.6D6φ: C4○D12/Dic6C2 ⊆ Aut C3244+C3:1(C4oD12)144,142
C32(C4○D12) = D6.D6φ: C4○D12/C4×S3C2 ⊆ Aut C3244C3:2(C4oD12)144,141
C33(C4○D12) = D125S3φ: C4○D12/D12C2 ⊆ Aut C3484-C3:3(C4oD12)144,138
C34(C4○D12) = D6.3D6φ: C4○D12/C3⋊D4C2 ⊆ Aut C3244C3:4(C4oD12)144,147
C35(C4○D12) = C12.59D6φ: C4○D12/C2×C12C2 ⊆ Aut C372C3:5(C4oD12)144,171

Non-split extensions G=N.Q with N=C3 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C3.(C4○D12) = D365C2φ: C4○D12/C2×C12C2 ⊆ Aut C3722C3.(C4oD12)144,40

׿
×
𝔽