Extensions 1→N→G→Q→1 with N=C3 and Q=C6×D4

Direct product G=N×Q with N=C3 and Q=C6×D4
dρLabelID
D4×C3×C672D4xC3xC6144,179

Semidirect products G=N:Q with N=C3 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C31(C6×D4) = C6×D12φ: C6×D4/C2×C12C2 ⊆ Aut C348C3:1(C6xD4)144,160
C32(C6×D4) = C3×S3×D4φ: C6×D4/C3×D4C2 ⊆ Aut C3244C3:2(C6xD4)144,162
C33(C6×D4) = C6×C3⋊D4φ: C6×D4/C22×C6C2 ⊆ Aut C324C3:3(C6xD4)144,167

Non-split extensions G=N.Q with N=C3 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C3.(C6×D4) = D4×C18central extension (φ=1)72C3.(C6xD4)144,48

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